Average Error: 0.4 → 0.2
Time: 16.0s
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 r556365 = 60.0;
        double r556366 = x;
        double r556367 = y;
        double r556368 = r556366 - r556367;
        double r556369 = r556365 * r556368;
        double r556370 = z;
        double r556371 = t;
        double r556372 = r556370 - r556371;
        double r556373 = r556369 / r556372;
        double r556374 = a;
        double r556375 = 120.0;
        double r556376 = r556374 * r556375;
        double r556377 = r556373 + r556376;
        return r556377;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r556378 = 60.0;
        double r556379 = z;
        double r556380 = t;
        double r556381 = r556379 - r556380;
        double r556382 = x;
        double r556383 = y;
        double r556384 = r556382 - r556383;
        double r556385 = r556381 / r556384;
        double r556386 = r556378 / r556385;
        double r556387 = a;
        double r556388 = 120.0;
        double r556389 = r556387 * r556388;
        double r556390 = r556386 + r556389;
        return r556390;
}

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 2019326 
(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)))