Average Error: 0.1 → 0.1
Time: 30.4s
Precision: 64
\[\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z\]
↓
\[\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z\]
\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z
↓
\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z
double f(double x, double y, double z) {
        double r237069 = x;
        double r237070 = y;
        double r237071 = 0.5;
        double r237072 = r237070 + r237071;
        double r237073 = log(r237070);
        double r237074 = r237072 * r237073;
        double r237075 = r237069 - r237074;
        double r237076 = r237075 + r237070;
        double r237077 = z;
        double r237078 = r237076 - r237077;
        return r237078;
}
↓
double f(double x, double y, double z) {
        double r237079 = x;
        double r237080 = y;
        double r237081 = 0.5;
        double r237082 = r237080 + r237081;
        double r237083 = log(r237080);
        double r237084 = r237082 * r237083;
        double r237085 = r237079 - r237084;
        double r237086 = r237085 + r237080;
        double r237087 = z;
        double r237088 = r237086 - r237087;
        return r237088;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[\left(\left(y + x\right) - z\right) - \left(y + 0.5\right) \cdot \log y\]

Derivation

  1. Initial program 0.1

    \[\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z\]

  2. Final simplification0.1

    \[\leadsto \left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z\]

Reproduce

herbie shell --seed 2019323 
(FPCore (x y z)
  :name "Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2"
  :precision binary64

  :herbie-target
  (- (- (+ y x) z) (* (+ y 0.5) (log y)))

  (- (+ (- x (* (+ y 0.5) (log y))) y) z))