Average Error: 0.1 → 0.1
Time: 14.7s
Precision: 64
\[x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)\]
↓
\[\left(x \cdot 0.5 + y \cdot \left(1 - z\right)\right) + y \cdot \log z\]
x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)
↓
\left(x \cdot 0.5 + y \cdot \left(1 - z\right)\right) + y \cdot \log z
double f(double x, double y, double z) {
        double r276191 = x;
        double r276192 = 0.5;
        double r276193 = r276191 * r276192;
        double r276194 = y;
        double r276195 = 1.0;
        double r276196 = z;
        double r276197 = r276195 - r276196;
        double r276198 = log(r276196);
        double r276199 = r276197 + r276198;
        double r276200 = r276194 * r276199;
        double r276201 = r276193 + r276200;
        return r276201;
}
↓
double f(double x, double y, double z) {
        double r276202 = x;
        double r276203 = 0.5;
        double r276204 = r276202 * r276203;
        double r276205 = y;
        double r276206 = 1.0;
        double r276207 = z;
        double r276208 = r276206 - r276207;
        double r276209 = r276205 * r276208;
        double r276210 = r276204 + r276209;
        double r276211 = log(r276207);
        double r276212 = r276205 * r276211;
        double r276213 = r276210 + r276212;
        return r276213;
}

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

Derivation

  1. Initial program 0.1

    \[x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)\]
  2. Using strategy rm

  3. Applied distribute-lft-in0.1

    \[\leadsto x \cdot 0.5 + \color{blue}{\left(y \cdot \left(1 - z\right) + y \cdot \log z\right)}\]

  4. Applied associate-+r+0.1

    \[\leadsto \color{blue}{\left(x \cdot 0.5 + y \cdot \left(1 - z\right)\right) + y \cdot \log z}\]

  5. Final simplification0.1

    \[\leadsto \left(x \cdot 0.5 + y \cdot \left(1 - z\right)\right) + y \cdot \log z\]

Reproduce

herbie shell --seed 2019198 
(FPCore (x y z)
  :name "System.Random.MWC.Distributions:gamma from mwc-random-0.13.3.2"

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

  (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))