Average Error: 0.1 → 0.1
Time: 9.5s
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 r212952 = x;
        double r212953 = y;
        double r212954 = 0.5;
        double r212955 = r212953 + r212954;
        double r212956 = log(r212953);
        double r212957 = r212955 * r212956;
        double r212958 = r212952 - r212957;
        double r212959 = r212958 + r212953;
        double r212960 = z;
        double r212961 = r212959 - r212960;
        return r212961;
}
↓
double f(double x, double y, double z) {
        double r212962 = x;
        double r212963 = y;
        double r212964 = 0.5;
        double r212965 = r212963 + r212964;
        double r212966 = log(r212963);
        double r212967 = r212965 * r212966;
        double r212968 = r212962 - r212967;
        double r212969 = r212968 + r212963;
        double r212970 = z;
        double r212971 = r212969 - r212970;
        return r212971;
}

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 1978988140 
(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))