Average Error: 0.5 → 0.2
Time: 6.1s
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 r769408 = 60.0;
        double r769409 = x;
        double r769410 = y;
        double r769411 = r769409 - r769410;
        double r769412 = r769408 * r769411;
        double r769413 = z;
        double r769414 = t;
        double r769415 = r769413 - r769414;
        double r769416 = r769412 / r769415;
        double r769417 = a;
        double r769418 = 120.0;
        double r769419 = r769417 * r769418;
        double r769420 = r769416 + r769419;
        return r769420;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r769421 = 60.0;
        double r769422 = z;
        double r769423 = t;
        double r769424 = r769422 - r769423;
        double r769425 = x;
        double r769426 = y;
        double r769427 = r769425 - r769426;
        double r769428 = r769424 / r769427;
        double r769429 = r769421 / r769428;
        double r769430 = a;
        double r769431 = 120.0;
        double r769432 = r769430 * r769431;
        double r769433 = r769429 + r769432;
        return r769433;
}

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 2020024 
(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)))