Average Error: 0.4 → 0.1
Time: 4.9s
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 r769629 = 60.0;
        double r769630 = x;
        double r769631 = y;
        double r769632 = r769630 - r769631;
        double r769633 = r769629 * r769632;
        double r769634 = z;
        double r769635 = t;
        double r769636 = r769634 - r769635;
        double r769637 = r769633 / r769636;
        double r769638 = a;
        double r769639 = 120.0;
        double r769640 = r769638 * r769639;
        double r769641 = r769637 + r769640;
        return r769641;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r769642 = 60.0;
        double r769643 = z;
        double r769644 = t;
        double r769645 = r769643 - r769644;
        double r769646 = r769642 / r769645;
        double r769647 = x;
        double r769648 = y;
        double r769649 = r769647 - r769648;
        double r769650 = r769646 * r769649;
        double r769651 = a;
        double r769652 = 120.0;
        double r769653 = r769651 * r769652;
        double r769654 = r769650 + r769653;
        return r769654;
}

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

Original0.4
Target0.2
Herbie0.1
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Derivation

  1. Initial program 0.4

    \[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
  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/0.1

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

  6. Final simplification0.1

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

Reproduce

herbie shell --seed 2020021 
(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)))