Average Error: 0.5 → 0.2
Time: 20.2s
Precision: 64
\[\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0\]
↓
\[\frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0\]
\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0
↓
\frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0
double f(double x, double y, double z, double t, double a) {
        double r44663859 = 60.0;
        double r44663860 = x;
        double r44663861 = y;
        double r44663862 = r44663860 - r44663861;
        double r44663863 = r44663859 * r44663862;
        double r44663864 = z;
        double r44663865 = t;
        double r44663866 = r44663864 - r44663865;
        double r44663867 = r44663863 / r44663866;
        double r44663868 = a;
        double r44663869 = 120.0;
        double r44663870 = r44663868 * r44663869;
        double r44663871 = r44663867 + r44663870;
        return r44663871;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r44663872 = 60.0;
        double r44663873 = z;
        double r44663874 = t;
        double r44663875 = r44663873 - r44663874;
        double r44663876 = x;
        double r44663877 = y;
        double r44663878 = r44663876 - r44663877;
        double r44663879 = r44663875 / r44663878;
        double r44663880 = r44663872 / r44663879;
        double r44663881 = a;
        double r44663882 = 120.0;
        double r44663883 = r44663881 * r44663882;
        double r44663884 = r44663880 + r44663883;
        return r44663884;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.5
Target0.2
Herbie0.2
\[\frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0\]

Derivation

  1. Initial program 0.5

    \[\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0\]
  2. Using strategy rm

  3. Applied associate-/l*0.2

    \[\leadsto \color{blue}{\frac{60.0}{\frac{z - t}{x - y}}} + a \cdot 120.0\]

  4. Final simplification0.2

    \[\leadsto \frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0\]

Reproduce

herbie shell --seed 2019162 
(FPCore (x y z t a)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, B"

  :herbie-target
  (+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))

  (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))