Average Error: 0.4 → 0.4
Time: 15.8s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{60 \cdot x + \left(-y\right) \cdot 60}{z - t} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{60 \cdot x + \left(-y\right) \cdot 60}{z - t} + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r658494 = 60.0;
        double r658495 = x;
        double r658496 = y;
        double r658497 = r658495 - r658496;
        double r658498 = r658494 * r658497;
        double r658499 = z;
        double r658500 = t;
        double r658501 = r658499 - r658500;
        double r658502 = r658498 / r658501;
        double r658503 = a;
        double r658504 = 120.0;
        double r658505 = r658503 * r658504;
        double r658506 = r658502 + r658505;
        return r658506;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r658507 = 60.0;
        double r658508 = x;
        double r658509 = r658507 * r658508;
        double r658510 = y;
        double r658511 = -r658510;
        double r658512 = r658511 * r658507;
        double r658513 = r658509 + r658512;
        double r658514 = z;
        double r658515 = t;
        double r658516 = r658514 - r658515;
        double r658517 = r658513 / r658516;
        double r658518 = a;
        double r658519 = 120.0;
        double r658520 = r658518 * r658519;
        double r658521 = r658517 + r658520;
        return r658521;
}

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
Herbie0.4
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Derivation

  1. Initial program 0.4

    \[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
  2. Using strategy rm

  3. Applied sub-neg0.4

    \[\leadsto \frac{60 \cdot \color{blue}{\left(x + \left(-y\right)\right)}}{z - t} + a \cdot 120\]

  4. Applied distribute-lft-in0.4

    \[\leadsto \frac{\color{blue}{60 \cdot x + 60 \cdot \left(-y\right)}}{z - t} + a \cdot 120\]

  5. Simplified0.4

    \[\leadsto \frac{60 \cdot x + \color{blue}{\left(-y\right) \cdot 60}}{z - t} + a \cdot 120\]

  6. Final simplification0.4

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

Reproduce

herbie shell --seed 2019303 
(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)))