Average Error: 0.4 → 0.2
Time: 16.1s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{60}{\frac{z - t}{x - y}} + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r545549 = 60.0;
        double r545550 = x;
        double r545551 = y;
        double r545552 = r545550 - r545551;
        double r545553 = r545549 * r545552;
        double r545554 = z;
        double r545555 = t;
        double r545556 = r545554 - r545555;
        double r545557 = r545553 / r545556;
        double r545558 = a;
        double r545559 = 120.0;
        double r545560 = r545558 * r545559;
        double r545561 = r545557 + r545560;
        return r545561;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r545562 = 60.0;
        double r545563 = z;
        double r545564 = t;
        double r545565 = r545563 - r545564;
        double r545566 = x;
        double r545567 = y;
        double r545568 = r545566 - r545567;
        double r545569 = r545565 / r545568;
        double r545570 = r545562 / r545569;
        double r545571 = a;
        double r545572 = 120.0;
        double r545573 = r545571 * r545572;
        double r545574 = r545570 + r545573;
        return r545574;
}

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

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. Final simplification0.2

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

Reproduce

herbie shell --seed 2019325 
(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)))