Average Error: 0.1 → 0.1
Time: 19.5s
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 r208227 = x;
        double r208228 = y;
        double r208229 = 0.5;
        double r208230 = r208228 + r208229;
        double r208231 = log(r208228);
        double r208232 = r208230 * r208231;
        double r208233 = r208227 - r208232;
        double r208234 = r208233 + r208228;
        double r208235 = z;
        double r208236 = r208234 - r208235;
        return r208236;
}
↓
double f(double x, double y, double z) {
        double r208237 = x;
        double r208238 = y;
        double r208239 = 0.5;
        double r208240 = r208238 + r208239;
        double r208241 = log(r208238);
        double r208242 = r208240 * r208241;
        double r208243 = r208237 - r208242;
        double r208244 = r208243 + r208238;
        double r208245 = z;
        double r208246 = r208244 - r208245;
        return r208246;
}

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 2019291 
(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))