Average Error: 0.1 → 0.1
Time: 17.7s
Precision: 64
\[\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z\]
↓
\[\left(y + \left(x - \left(y + 0.5\right) \cdot \log y\right)\right) - z\]
\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z
↓
\left(y + \left(x - \left(y + 0.5\right) \cdot \log y\right)\right) - z
double f(double x, double y, double z) {
        double r268344 = x;
        double r268345 = y;
        double r268346 = 0.5;
        double r268347 = r268345 + r268346;
        double r268348 = log(r268345);
        double r268349 = r268347 * r268348;
        double r268350 = r268344 - r268349;
        double r268351 = r268350 + r268345;
        double r268352 = z;
        double r268353 = r268351 - r268352;
        return r268353;
}
↓
double f(double x, double y, double z) {
        double r268354 = y;
        double r268355 = x;
        double r268356 = 0.5;
        double r268357 = r268354 + r268356;
        double r268358 = log(r268354);
        double r268359 = r268357 * r268358;
        double r268360 = r268355 - r268359;
        double r268361 = r268354 + r268360;
        double r268362 = z;
        double r268363 = r268361 - r268362;
        return r268363;
}

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

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

Reproduce

herbie shell --seed 2019194 
(FPCore (x y z)
  :name "Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2"

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

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