Average Error: 0.5 → 0.2
Time: 13.2s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{60}{z - t} \cdot \left(x - y\right) + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{60}{z - t} \cdot \left(x - y\right) + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r627014 = 60.0;
        double r627015 = x;
        double r627016 = y;
        double r627017 = r627015 - r627016;
        double r627018 = r627014 * r627017;
        double r627019 = z;
        double r627020 = t;
        double r627021 = r627019 - r627020;
        double r627022 = r627018 / r627021;
        double r627023 = a;
        double r627024 = 120.0;
        double r627025 = r627023 * r627024;
        double r627026 = r627022 + r627025;
        return r627026;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r627027 = 60.0;
        double r627028 = z;
        double r627029 = t;
        double r627030 = r627028 - r627029;
        double r627031 = r627027 / r627030;
        double r627032 = x;
        double r627033 = y;
        double r627034 = r627032 - r627033;
        double r627035 = r627031 * r627034;
        double r627036 = a;
        double r627037 = 120.0;
        double r627038 = r627036 * r627037;
        double r627039 = r627035 + r627038;
        return r627039;
}

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
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Derivation

  1. Initial program 0.5

    \[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
  2. Using strategy rm

  3. Applied associate-/l*0.2

    \[\leadsto \color{blue}{\frac{60}{\frac{z - t}{x - y}}} + a \cdot 120\]
  4. Using strategy rm

  5. Applied associate-/r/0.2

    \[\leadsto \color{blue}{\frac{60}{z - t} \cdot \left(x - y\right)} + a \cdot 120\]

  6. Final simplification0.2

    \[\leadsto \frac{60}{z - t} \cdot \left(x - y\right) + a \cdot 120\]

Reproduce

herbie shell --seed 2019208 
(FPCore (x y z t a)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, B"
  :precision binary64

  :herbie-target
  (+ (/ 60 (/ (- z t) (- x y))) (* a 120))

  (+ (/ (* 60 (- x y)) (- z t)) (* a 120)))