Average Error: 0.5 → 0.1
Time: 4.7s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[60 \cdot \left(\frac{x}{z - t} - \frac{y}{z - t}\right) + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
60 \cdot \left(\frac{x}{z - t} - \frac{y}{z - t}\right) + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r756733 = 60.0;
        double r756734 = x;
        double r756735 = y;
        double r756736 = r756734 - r756735;
        double r756737 = r756733 * r756736;
        double r756738 = z;
        double r756739 = t;
        double r756740 = r756738 - r756739;
        double r756741 = r756737 / r756740;
        double r756742 = a;
        double r756743 = 120.0;
        double r756744 = r756742 * r756743;
        double r756745 = r756741 + r756744;
        return r756745;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r756746 = 60.0;
        double r756747 = x;
        double r756748 = z;
        double r756749 = t;
        double r756750 = r756748 - r756749;
        double r756751 = r756747 / r756750;
        double r756752 = y;
        double r756753 = r756752 / r756750;
        double r756754 = r756751 - r756753;
        double r756755 = r756746 * r756754;
        double r756756 = a;
        double r756757 = 120.0;
        double r756758 = r756756 * r756757;
        double r756759 = r756755 + r756758;
        return r756759;
}

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. Using strategy rm

  7. Applied div-sub0.1

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

  8. Final simplification0.1

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

Reproduce

herbie shell --seed 2020025 
(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)))