Average Error: 0.5 → 0.2
Time: 4.2s
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 r819475 = 60.0;
        double r819476 = x;
        double r819477 = y;
        double r819478 = r819476 - r819477;
        double r819479 = r819475 * r819478;
        double r819480 = z;
        double r819481 = t;
        double r819482 = r819480 - r819481;
        double r819483 = r819479 / r819482;
        double r819484 = a;
        double r819485 = 120.0;
        double r819486 = r819484 * r819485;
        double r819487 = r819483 + r819486;
        return r819487;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r819488 = 60.0;
        double r819489 = z;
        double r819490 = t;
        double r819491 = r819489 - r819490;
        double r819492 = x;
        double r819493 = y;
        double r819494 = r819492 - r819493;
        double r819495 = r819491 / r819494;
        double r819496 = r819488 / r819495;
        double r819497 = a;
        double r819498 = 120.0;
        double r819499 = r819497 * r819498;
        double r819500 = r819496 + r819499;
        return r819500;
}

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. Final simplification0.2

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

Reproduce

herbie shell --seed 2020018 
(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)))