// y-cruncher Custom Formula File // // This can be loaded directly from the Custom Compute menu or // entered from the command line as "custom:filename.cfg". // y-cruncher custom custom:"filename.cfg" // // // Author: Oliver Kruse // DSG // Date: October 30, 2019 // // Value = 1.03692775514336992633136548645703416805708091950191... // // Formula: Bailey, Borwein and Plouffe (1998), [Kruse (2019)] // https://www.davidhbailey.com/dhbpapers/digits.pdf // // Formula optimized by Alex Yee (2019). // { NameShort : "Zeta(5)" NameLong : "Zeta(5)" AlgorithmShort : "BBP-Kruse" AlgorithmLong : "BBP (1998), Kruse (2019)" Formula : { Divide : [ {LinearCombination : [ [-1 {SeriesBinaryBBP : { Power : 1 CoefficientP : 1 CoefficientQ : 0 CoefficientD : 1 Alternating : "false" PowerCoef : -6 PowerShift : 0 PolynomialP : [5] PolynomialQ : [0 0 0 0 0 1] }}] [-1 {SeriesBinaryBBP : { Power : 1 CoefficientP : 1 CoefficientQ : 0 CoefficientD : 1 Alternating : "false" PowerCoef : -6 PowerShift : 8 PolynomialP : [23] PolynomialQ : [-1 10 -40 80 -80 32] }}] [-1 {SeriesBinaryBBP : { Power : 1 CoefficientP : 1 CoefficientQ : 0 CoefficientD : 1 Alternating : "false" PowerCoef : -6 PowerShift : 7 PolynomialP : [243] PolynomialQ : [-1 15 -90 270 -405 243] }}] [-1 {SeriesBinaryBBP : { Power : 1 CoefficientP : 1 CoefficientQ : 0 CoefficientD : 1 Alternating : "false" PowerCoef : -6 PowerShift : 9 PolynomialP : [243] PolynomialQ : [-32 240 -720 1080 -810 243] }}] [1 {SeriesBinaryBBP : { Power : 1 CoefficientP : 1 CoefficientQ : 0 CoefficientD : 1 Alternating : "false" PowerCoef : -6 PowerShift : 8 PolynomialP : [243] PolynomialQ : [-1 30 -360 2160 -6480 7776] }}] [1 {SeriesBinaryBBP : { Power : 1 CoefficientP : 1 CoefficientQ : 0 CoefficientD : 1 Alternating : "false" PowerCoef : -6 PowerShift : 12 PolynomialP : [243] PolynomialQ : [-3125 18750 -45000 54000 -32400 7776] }}] [1 {Scope : { Locals : [ { log1 : {Log : 2}} { log2 : {Power : ["log1" 2]}} ] Formula : { Multiply : [ {LinearCombination : [ [1 {Power : [ {LinearCombination : [ [12 {Power : [{Pi : {}} 2]}] [-9 "log2"] ]} 2 ]}] [243 {Power : ["log2" 2]}] ]} "log1" ] } }}] ]} 21762 ] } }