Average Error: 0.5 → 0.1
Time: 23.7s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{x - y}{z - t} \cdot 60 + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{x - y}{z - t} \cdot 60 + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r707589 = 60.0;
        double r707590 = x;
        double r707591 = y;
        double r707592 = r707590 - r707591;
        double r707593 = r707589 * r707592;
        double r707594 = z;
        double r707595 = t;
        double r707596 = r707594 - r707595;
        double r707597 = r707593 / r707596;
        double r707598 = a;
        double r707599 = 120.0;
        double r707600 = r707598 * r707599;
        double r707601 = r707597 + r707600;
        return r707601;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r707602 = x;
        double r707603 = y;
        double r707604 = r707602 - r707603;
        double r707605 = z;
        double r707606 = t;
        double r707607 = r707605 - r707606;
        double r707608 = r707604 / r707607;
        double r707609 = 60.0;
        double r707610 = r707608 * r707609;
        double r707611 = a;
        double r707612 = 120.0;
        double r707613 = r707611 * r707612;
        double r707614 = r707610 + r707613;
        return r707614;
}

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
Herbie0.1
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Derivation

  1. Initial program 0.5

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

  3. Applied *-un-lft-identity0.5

    \[\leadsto \frac{60 \cdot \left(x - y\right)}{\color{blue}{1 \cdot \left(z - t\right)}} + a \cdot 120\]

  4. Applied times-frac0.1

    \[\leadsto \color{blue}{\frac{60}{1} \cdot \frac{x - y}{z - t}} + a \cdot 120\]

  5. Simplified0.1

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

  6. Final simplification0.1

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

Reproduce

herbie shell --seed 2019195 
(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)))