Average Error: 0.4 → 0.1
Time: 25.1s
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 r33398725 = 60.0;
        double r33398726 = x;
        double r33398727 = y;
        double r33398728 = r33398726 - r33398727;
        double r33398729 = r33398725 * r33398728;
        double r33398730 = z;
        double r33398731 = t;
        double r33398732 = r33398730 - r33398731;
        double r33398733 = r33398729 / r33398732;
        double r33398734 = a;
        double r33398735 = 120.0;
        double r33398736 = r33398734 * r33398735;
        double r33398737 = r33398733 + r33398736;
        return r33398737;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r33398738 = x;
        double r33398739 = y;
        double r33398740 = r33398738 - r33398739;
        double r33398741 = z;
        double r33398742 = t;
        double r33398743 = r33398741 - r33398742;
        double r33398744 = r33398740 / r33398743;
        double r33398745 = 60.0;
        double r33398746 = r33398744 * r33398745;
        double r33398747 = a;
        double r33398748 = 120.0;
        double r33398749 = r33398747 * r33398748;
        double r33398750 = r33398746 + r33398749;
        return r33398750;
}

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

Derivation

  1. Initial program 0.4

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

  3. Applied *-un-lft-identity0.4

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

  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 2019172 +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)))