Average Error: 0.1 → 0.1
Time: 21.7s
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 r952405 = x;
        double r952406 = y;
        double r952407 = 0.5;
        double r952408 = r952406 + r952407;
        double r952409 = log(r952406);
        double r952410 = r952408 * r952409;
        double r952411 = r952405 - r952410;
        double r952412 = r952411 + r952406;
        double r952413 = z;
        double r952414 = r952412 - r952413;
        return r952414;
}
↓
double f(double x, double y, double z) {
        double r952415 = x;
        double r952416 = y;
        double r952417 = 0.5;
        double r952418 = r952416 + r952417;
        double r952419 = log(r952416);
        double r952420 = r952418 * r952419;
        double r952421 = r952415 - r952420;
        double r952422 = r952421 + r952416;
        double r952423 = z;
        double r952424 = r952422 - r952423;
        return r952424;
}

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 2020047 
(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))