Average Error: 0.1 → 0.1
Time: 6.6s
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 r484393 = x;
        double r484394 = y;
        double r484395 = 0.5;
        double r484396 = r484394 + r484395;
        double r484397 = log(r484394);
        double r484398 = r484396 * r484397;
        double r484399 = r484393 - r484398;
        double r484400 = r484399 + r484394;
        double r484401 = z;
        double r484402 = r484400 - r484401;
        return r484402;
}
↓
double f(double x, double y, double z) {
        double r484403 = x;
        double r484404 = y;
        double r484405 = 0.5;
        double r484406 = r484404 + r484405;
        double r484407 = log(r484404);
        double r484408 = r484406 * r484407;
        double r484409 = r484403 - r484408;
        double r484410 = r484409 + r484404;
        double r484411 = z;
        double r484412 = r484410 - r484411;
        return r484412;
}

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 2019362 
(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))