Average Error: 0.4 → 0.2
Time: 21.2s
Precision: 64
\[\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0\]
↓
\[\frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0\]
\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0
↓
\frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0
double f(double x, double y, double z, double t, double a) {
        double r27476396 = 60.0;
        double r27476397 = x;
        double r27476398 = y;
        double r27476399 = r27476397 - r27476398;
        double r27476400 = r27476396 * r27476399;
        double r27476401 = z;
        double r27476402 = t;
        double r27476403 = r27476401 - r27476402;
        double r27476404 = r27476400 / r27476403;
        double r27476405 = a;
        double r27476406 = 120.0;
        double r27476407 = r27476405 * r27476406;
        double r27476408 = r27476404 + r27476407;
        return r27476408;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r27476409 = 60.0;
        double r27476410 = z;
        double r27476411 = t;
        double r27476412 = r27476410 - r27476411;
        double r27476413 = x;
        double r27476414 = y;
        double r27476415 = r27476413 - r27476414;
        double r27476416 = r27476412 / r27476415;
        double r27476417 = r27476409 / r27476416;
        double r27476418 = a;
        double r27476419 = 120.0;
        double r27476420 = r27476418 * r27476419;
        double r27476421 = r27476417 + r27476420;
        return r27476421;
}

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
\[\frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0\]

Derivation

  1. Initial program 0.4

    \[\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0\]
  2. Using strategy rm

  3. Applied associate-/l*0.2

    \[\leadsto \color{blue}{\frac{60.0}{\frac{z - t}{x - y}}} + a \cdot 120.0\]

  4. Final simplification0.2

    \[\leadsto \frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0\]

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x y z t a)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, B"

  :herbie-target
  (+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))

  (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))