Average Error: 0.4 → 0.2
Time: 7.1s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{60}{z - t} \cdot \left(x - y\right) + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{60}{z - t} \cdot \left(x - y\right) + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r868467 = 60.0;
        double r868468 = x;
        double r868469 = y;
        double r868470 = r868468 - r868469;
        double r868471 = r868467 * r868470;
        double r868472 = z;
        double r868473 = t;
        double r868474 = r868472 - r868473;
        double r868475 = r868471 / r868474;
        double r868476 = a;
        double r868477 = 120.0;
        double r868478 = r868476 * r868477;
        double r868479 = r868475 + r868478;
        return r868479;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r868480 = 60.0;
        double r868481 = z;
        double r868482 = t;
        double r868483 = r868481 - r868482;
        double r868484 = r868480 / r868483;
        double r868485 = x;
        double r868486 = y;
        double r868487 = r868485 - r868486;
        double r868488 = r868484 * r868487;
        double r868489 = a;
        double r868490 = 120.0;
        double r868491 = r868489 * r868490;
        double r868492 = r868488 + r868491;
        return r868492;
}

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. Using strategy rm

  5. Applied associate-/r/0.2

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

  6. Final simplification0.2

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

Reproduce

herbie shell --seed 2019354 
(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)))