diff --git a/CHANGELOG.md b/CHANGELOG.md
index 787c642ad9..adb8185724 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -10,6 +10,7 @@ The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/),
 ### Added
 
 - Added support for the new license key format. A proprietary key can now grant a subset of the library: a function your key does not include evaluates to a `#LIC!` error, and the matching parts of the API throw a `LicenseCapabilityMissingError`. `getAvailableFunctions()` and `getFunctionDetails()` describe only the functions your key includes. [#1728](https://github.com/handsontable/hyperformula/pull/1728)
+- Added a new function: `ERF.PRECISE`. [#1789](https://github.com/handsontable/hyperformula/pull/1789)
 
 ### Changed
 
@@ -19,6 +20,7 @@ The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/),
 ### Fixed
 
 - Fixed the validation of classic (25-character) license keys depending on the time zone: east of UTC, a key that expired the day before the build was released was still accepted, and west of UTC, the console message printed an expiry date one day too early. [#1728](https://github.com/handsontable/hyperformula/pull/1728)
+- Fixed the `ERF` and `ERFC` functions returning a number for a boolean or an empty text argument instead of `#VALUE!` as Excel does; numeric text, dates and empty cells are still accepted. [#1789](https://github.com/handsontable/hyperformula/pull/1789)
 - Fixed the `AVERAGEIF` function returning a division-by-zero error when the calculated average was `0`. [#1733](https://github.com/handsontable/hyperformula/pull/1733)
 - Fixed the localized names of `VSTACK` and `HSTACK` in 14 language packs to match Microsoft Excel. [#1748](https://github.com/handsontable/hyperformula/pull/1748)
 - Fixed the MAXPOOL and MEDIANPOOL functions throwing an uncaught `TypeError` instead of returning the `#VALUE!` error when the range dimensions are not a whole multiple of the window size and the stride. [#1718](https://github.com/handsontable/hyperformula/pull/1718)
diff --git a/docs/guide/list-of-differences.md b/docs/guide/list-of-differences.md
index a109f82616..3016237c6b 100644
--- a/docs/guide/list-of-differences.md
+++ b/docs/guide/list-of-differences.md
@@ -127,3 +127,4 @@ A few of the rows above share a root cause worth stating once:
 - **Rounding toward zero, not down.** `INT` discards the fractional part rather than rounding toward negative infinity, so it differs from Excel and Google Sheets for negative input only. `ROUNDDOWN`/`ROUNDUP` are unaffected — they are defined in terms of zero in all three.
 - **`ISEVEN`/`ISODD` do not truncate.** They test the remainder of the value as given, so a value with a fractional part returns `FALSE` from *both*. Excel and Google Sheets truncate to an integer first, so exactly one of the two is always `TRUE`.
 - **`CEILING.MATH`/`FLOOR.MATH` honour only `mode` = 1.** Excel and Google Sheets switch the negative-number rounding direction for any non-zero `mode`.
+- **`ERF.PRECISE`, like `ERF` and `ERFC`, loses relative accuracy for arguments very close to zero.** `=ERF.PRECISE(1E-10)` returns `1.128379612E-10` where Excel returns `1.12837916709551E-10`, and `=ERF.PRECISE(1E-300)` returns about `1.1E-16` where Excel returns `1.12837916709551E-300`. The comparison with Excel was measured for arguments of `0.1` and above (agreement to about 11 significant digits, the precision HyperFormula returns by default) and for `1E-10` and `1E-300`; values in between were not measured.
diff --git a/src/i18n/languages/csCZ.ts b/src/i18n/languages/csCZ.ts
index fea286083c..009e6bed67 100644
--- a/src/i18n/languages/csCZ.ts
+++ b/src/i18n/languages/csCZ.ts
@@ -103,6 +103,7 @@ const dictionary: RawTranslationPackage = {
     EOMONTH: 'EOMONTH',
     ERF: 'ERF',
     ERFC: 'ERFC',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'ZAOKROUHLIT.NA.SUDÉ',
     EXACT: 'STEJNÉ',
     EXP: 'EXP',
diff --git a/src/i18n/languages/daDK.ts b/src/i18n/languages/daDK.ts
index 9264551249..7ea2dfe1b0 100644
--- a/src/i18n/languages/daDK.ts
+++ b/src/i18n/languages/daDK.ts
@@ -103,6 +103,7 @@ const dictionary: RawTranslationPackage = {
     EOMONTH: 'SLUT.PÅ.MÅNED',
     ERF: 'FEJLFUNK',
     ERFC: 'FEJLFUNK.KOMP',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'LIGE',
     EXACT: 'EKSAKT',
     EXP: 'EKSP',
diff --git a/src/i18n/languages/deDE.ts b/src/i18n/languages/deDE.ts
index 4d3d39319b..01e5d098ef 100644
--- a/src/i18n/languages/deDE.ts
+++ b/src/i18n/languages/deDE.ts
@@ -103,6 +103,7 @@ const dictionary: RawTranslationPackage = {
     EOMONTH: 'MONATSENDE',
     ERF: 'GAUSSFEHLER',
     ERFC: 'GAUSSFKOMPL',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'GERADE',
     EXACT: 'IDENTISCH',
     EXP: 'EXP',
diff --git a/src/i18n/languages/enGB.ts b/src/i18n/languages/enGB.ts
index d271b732cd..120b274318 100644
--- a/src/i18n/languages/enGB.ts
+++ b/src/i18n/languages/enGB.ts
@@ -104,6 +104,7 @@ const dictionary: RawTranslationPackage = {
     EOMONTH: 'EOMONTH',
     ERF: 'ERF',
     ERFC: 'ERFC',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'EVEN',
     EXACT: 'EXACT',
     EXP: 'EXP',
diff --git a/src/i18n/languages/esES.ts b/src/i18n/languages/esES.ts
index 9c6b817b98..0fb6da9564 100644
--- a/src/i18n/languages/esES.ts
+++ b/src/i18n/languages/esES.ts
@@ -103,6 +103,7 @@ export const dictionary: RawTranslationPackage = {
     EOMONTH: 'FIN.MES',
     ERF: 'FUN.ERROR',
     ERFC: 'FUN.ERROR.COMPL',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'REDONDEA.PAR',
     EXACT: 'IGUAL',
     EXP: 'EXP',
diff --git a/src/i18n/languages/fiFI.ts b/src/i18n/languages/fiFI.ts
index 99ff05708f..4ca7585416 100644
--- a/src/i18n/languages/fiFI.ts
+++ b/src/i18n/languages/fiFI.ts
@@ -103,6 +103,7 @@ const dictionary: RawTranslationPackage = {
     EOMONTH: 'KUUKAUSI.LOPPU',
     ERF: 'VIRHEFUNKTIO',
     ERFC: 'VIRHEFUNKTIO.KOMPLEMENTTI',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'PARILLINEN',
     EXACT: 'VERTAA',
     EXP: 'EKSPONENTTI',
diff --git a/src/i18n/languages/frFR.ts b/src/i18n/languages/frFR.ts
index f7b9be45f7..74037fc54e 100644
--- a/src/i18n/languages/frFR.ts
+++ b/src/i18n/languages/frFR.ts
@@ -103,6 +103,7 @@ const dictionary: RawTranslationPackage = {
     EOMONTH: 'FIN.MOIS',
     ERF: 'ERF',
     ERFC: 'ERFC',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'PAIR',
     EXACT: 'EXACT',
     EXP: 'EXP',
diff --git a/src/i18n/languages/huHU.ts b/src/i18n/languages/huHU.ts
index e40219553a..346097af74 100644
--- a/src/i18n/languages/huHU.ts
+++ b/src/i18n/languages/huHU.ts
@@ -103,6 +103,7 @@ const dictionary: RawTranslationPackage = {
     EOMONTH: 'HÓNAP.UTOLSÓ.NAP',
     ERF: 'HIBAF',
     ERFC: 'HIBAF.KOMPLEMENTER',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'PÁROS',
     EXACT: 'AZONOS',
     EXP: 'KITEVŐ',
diff --git a/src/i18n/languages/idID.ts b/src/i18n/languages/idID.ts
index 719cb11db6..b720c00124 100644
--- a/src/i18n/languages/idID.ts
+++ b/src/i18n/languages/idID.ts
@@ -104,6 +104,7 @@ const dictionary: RawTranslationPackage = {
     EOMONTH: 'AKHIR.BULAN',
     ERF: 'ERF',
     ERFC: 'ERFC',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'GENAP',
     EXACT: 'IDENTIK',
     EXP: 'EXP',
diff --git a/src/i18n/languages/itIT.ts b/src/i18n/languages/itIT.ts
index 1a494628f8..0c5f59d8aa 100644
--- a/src/i18n/languages/itIT.ts
+++ b/src/i18n/languages/itIT.ts
@@ -103,6 +103,7 @@ const dictionary: RawTranslationPackage = {
     EOMONTH: 'FINE.MESE',
     ERF: 'FUNZ.ERRORE',
     ERFC: 'FUNZ.ERRORE.COMP',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'PARI',
     EXACT: 'IDENTICO',
     EXP: 'EXP',
diff --git a/src/i18n/languages/nbNO.ts b/src/i18n/languages/nbNO.ts
index ff15415a98..2212562900 100644
--- a/src/i18n/languages/nbNO.ts
+++ b/src/i18n/languages/nbNO.ts
@@ -103,6 +103,7 @@ const dictionary: RawTranslationPackage = {
     EOMONTH: 'MÅNEDSSLUTT',
     ERF: 'FEILF',
     ERFC: 'FEILFK',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'AVRUND.TIL.PARTALL',
     EXACT: 'EKSAKT',
     EXP: 'EKSP',
diff --git a/src/i18n/languages/nlNL.ts b/src/i18n/languages/nlNL.ts
index c491e2f44b..37f491104c 100644
--- a/src/i18n/languages/nlNL.ts
+++ b/src/i18n/languages/nlNL.ts
@@ -103,6 +103,7 @@ const dictionary: RawTranslationPackage = {
     EOMONTH: 'LAATSTE.DAG',
     ERF: 'FOUTFUNCTIE',
     ERFC: 'FOUT.COMPLEMENT',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'EVEN',
     EXACT: 'GELIJK',
     EXP: 'EXP',
diff --git a/src/i18n/languages/plPL.ts b/src/i18n/languages/plPL.ts
index 6fa4f016b4..7ef5ee78ac 100644
--- a/src/i18n/languages/plPL.ts
+++ b/src/i18n/languages/plPL.ts
@@ -103,6 +103,7 @@ const dictionary: RawTranslationPackage = {
     EOMONTH: 'NR.SER.OST.DN.MIEŚ',
     ERF: 'FUNKCJA.BŁ',
     ERFC: 'KOMP.FUNKCJA.BŁ',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'ZAOKR.DO.PARZ',
     EXACT: 'PORÓWNAJ',
     EXP: 'EXP',
diff --git a/src/i18n/languages/ptPT.ts b/src/i18n/languages/ptPT.ts
index 6c1e68c328..ba5e19eef7 100644
--- a/src/i18n/languages/ptPT.ts
+++ b/src/i18n/languages/ptPT.ts
@@ -103,6 +103,7 @@ const dictionary: RawTranslationPackage = {
     EOMONTH: 'FIMMÊS',
     ERF: 'FUNERRO',
     ERFC: 'FUNERROCOMPL',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'PAR',
     EXACT: 'EXATO',
     EXP: 'EXP',
diff --git a/src/i18n/languages/ruRU.ts b/src/i18n/languages/ruRU.ts
index 6b35c1ce2f..1c7074600f 100644
--- a/src/i18n/languages/ruRU.ts
+++ b/src/i18n/languages/ruRU.ts
@@ -103,6 +103,7 @@ const dictionary: RawTranslationPackage = {
     EOMONTH: 'КОНМЕСЯЦА',
     ERF: 'ФОШ',
     ERFC: 'ДФОШ',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'ЧЁТН',
     EXACT: 'СОВПАД',
     EXP: 'EXP',
diff --git a/src/i18n/languages/svSE.ts b/src/i18n/languages/svSE.ts
index 5f87580087..a31248fe73 100644
--- a/src/i18n/languages/svSE.ts
+++ b/src/i18n/languages/svSE.ts
@@ -103,6 +103,7 @@ const dictionary: RawTranslationPackage = {
     EOMONTH: 'SLUTMÅNAD',
     ERF: 'FELF',
     ERFC: 'FELFK',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'JÄMN',
     EXACT: 'EXAKT',
     EXP: 'EXP',
diff --git a/src/i18n/languages/trTR.ts b/src/i18n/languages/trTR.ts
index 93c2176d37..e23812edd8 100644
--- a/src/i18n/languages/trTR.ts
+++ b/src/i18n/languages/trTR.ts
@@ -103,6 +103,7 @@ const dictionary: RawTranslationPackage = {
     EOMONTH: 'SERİAY',
     ERF: 'HATAİŞLEV',
     ERFC: 'TÜMHATAİŞLEV',
+    'ERF.PRECISE': 'ERF.PRECISE',
     EVEN: 'ÇİFT',
     EXACT: 'ÖZDEŞ',
     EXP: 'ÜS',
diff --git a/src/interpreter/functionMetadata/categories/engineering.ts b/src/interpreter/functionMetadata/categories/engineering.ts
index 04b49aca14..af3a9766a6 100644
--- a/src/interpreter/functionMetadata/categories/engineering.ts
+++ b/src/interpreter/functionMetadata/categories/engineering.ts
@@ -143,6 +143,13 @@ export const ENGINEERING_DOCS: Record<string, FunctionDoc> = {
     documentationUrl: 'https://hyperformula.handsontable.com/docs/guide/built-in-functions.html',
     examples: ['=ERFC(1)', '=ERFC(0.5)'],
   },
+  'ERF.PRECISE': {
+    category: 'Engineering',
+    shortDescription: 'Returns values of the Gaussian error integral.',
+    parameters: [{name: 'x', description: 'The upper limit of the integral, calculated from 0 to x.'}],
+    documentationUrl: 'https://hyperformula.handsontable.com/docs/guide/built-in-functions.html',
+    examples: ['=ERF.PRECISE(1)', '=ERF.PRECISE(-0.5)'],
+  },
   HEX2BIN: {
     category: 'Engineering',
     shortDescription: 'The result is the binary number for the hexadecimal number entered.',
diff --git a/src/interpreter/plugin/StatisticalPlugin.ts b/src/interpreter/plugin/StatisticalPlugin.ts
index 54fd6e2dbc..640c25f50e 100644
--- a/src/interpreter/plugin/StatisticalPlugin.ts
+++ b/src/interpreter/plugin/StatisticalPlugin.ts
@@ -7,7 +7,7 @@ import {CellError, ErrorType} from '../../Cell'
 import {ErrorMessage} from '../../error-message'
 import {ProcedureAst} from '../../parser'
 import {InterpreterState} from '../InterpreterState'
-import {InterpreterValue} from '../InterpreterValue'
+import {getRawValue, InternalScalarValue, InterpreterValue} from '../InterpreterValue'
 import {besseli, besselj, besselk, bessely} from './3rdparty/bessel/bessel'
 import {
   beta,
@@ -37,14 +37,20 @@ export class StatisticalPlugin extends FunctionPlugin implements FunctionPluginT
     'ERF': {
       method: 'erf',
       parameters: [
-        {argumentType: FunctionArgumentType.NUMBER},
-        {argumentType: FunctionArgumentType.NUMBER, optionalArg: true},
+        {argumentType: FunctionArgumentType.SCALAR},
+        {argumentType: FunctionArgumentType.SCALAR, optionalArg: true},
       ]
     },
     'ERFC': {
       method: 'erfc',
       parameters: [
-        {argumentType: FunctionArgumentType.NUMBER}
+        {argumentType: FunctionArgumentType.SCALAR}
+      ]
+    },
+    'ERF.PRECISE': {
+      method: 'erfprecise',
+      parameters: [
+        {argumentType: FunctionArgumentType.SCALAR}
       ]
     },
     'EXPON.DIST': {
@@ -426,18 +432,47 @@ export class StatisticalPlugin extends FunctionPlugin implements FunctionPluginT
     POISSONDIST: 'POISSON.DIST',
   }
 
+  /**
+   * Converts an argument the way Excel does for the error functions: numbers, dates, numeric text and empty cells are
+   * accepted, while a boolean or the empty text is #VALUE!. Errors are passed on.
+   */
+  private strictNumber(value: InternalScalarValue): number | CellError {
+    if (value instanceof CellError) {
+      return value
+    }
+    if (typeof value === 'boolean' || value === '') {
+      return new CellError(ErrorType.VALUE, ErrorMessage.NumberCoercion)
+    }
+    const coerced = this.coerceScalarToNumberOrError(value)
+    return coerced instanceof CellError ? coerced : getRawValue(coerced)
+  }
+
   public erf(ast: ProcedureAst, state: InterpreterState): InterpreterValue {
-    return this.runFunction(ast.args, state, this.metadata('ERF'), (lowerBound, upperBound) => {
-      if (upperBound === undefined) {
+    return this.runFunction(ast.args, state, this.metadata('ERF'), (lower: InternalScalarValue, upper?: InternalScalarValue) => {
+      const lowerBound = this.strictNumber(lower)
+      if (lowerBound instanceof CellError) {
+        return lowerBound
+      }
+      if (upper === undefined) {
         return erf(lowerBound)
-      } else {
-        return erf(upperBound) - erf(lowerBound)
       }
+      const upperBound = this.strictNumber(upper)
+      return upperBound instanceof CellError ? upperBound : erf(upperBound) - erf(lowerBound)
     })
   }
 
   public erfc(ast: ProcedureAst, state: InterpreterState): InterpreterValue {
-    return this.runFunction(ast.args, state, this.metadata('ERFC'), erfc)
+    return this.runFunction(ast.args, state, this.metadata('ERFC'), (x: InternalScalarValue) => {
+      const value = this.strictNumber(x)
+      return value instanceof CellError ? value : erfc(value)
+    })
+  }
+
+  public erfprecise(ast: ProcedureAst, state: InterpreterState): InterpreterValue {
+    return this.runFunction(ast.args, state, this.metadata('ERF.PRECISE'), (x: InternalScalarValue) => {
+      const value = this.strictNumber(x)
+      return value instanceof CellError ? value : erf(value)
+    })
   }
 
   public expondist(ast: ProcedureAst, state: InterpreterState): InterpreterValue {
diff --git a/src/license/functionCapabilities.ts b/src/license/functionCapabilities.ts
index a26733ec5f..36aff75008 100644
--- a/src/license/functionCapabilities.ts
+++ b/src/license/functionCapabilities.ts
@@ -82,7 +82,7 @@ const UNGROUPED_FUNCTIONS = [
   'CONFIDENCE.NORM', 'CONFIDENCE.T', 'CORREL', 'COSH', 'COT', 'COTH', 'COUNTUNIQUE', 'COVARIANCE.P',
   'COVARIANCE.S', 'CSC', 'CSCH', 'CUMIPMT', 'CUMPRINC', 'DAVERAGE', 'DB', 'DCOUNT', 'DCOUNTA', 'DDB',
   'DEC2BIN', 'DEC2OCT', 'DECIMAL', 'DEGREES', 'DELTA', 'DEVSQ', 'DGET', 'DMAX', 'DMIN', 'DOLLARDE',
-  'DOLLARFR', 'DPRODUCT', 'DSTDEV', 'DSTDEVP', 'DSUM', 'DVAR', 'DVARP', 'EFFECT', 'ERF', 'ERFC',
+  'DOLLARFR', 'DPRODUCT', 'DSTDEV', 'DSTDEVP', 'DSUM', 'DVAR', 'DVARP', 'EFFECT', 'ERF', 'ERF.PRECISE', 'ERFC',
   'EXPON.DIST', 'F.DIST', 'F.DIST.RT', 'F.INV', 'F.INV.RT', 'F.TEST', 'FACT', 'FACTDOUBLE', 'FISHER',
   'FISHERINV', 'FLOOR.MATH', 'FLOOR.PRECISE', 'FORMULATEXT', 'FVSCHEDULE', 'GAMMA', 'GAMMA.DIST',
   'GAMMA.INV', 'GAMMALN', 'GAUSS', 'GCD', 'GEOMEAN', 'HARMEAN', 'HEX2BIN', 'HEX2OCT', 'HYPGEOM.DIST',