Average Error: 0.5 → 0.2
Time: 7.4s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{60}{\frac{z - t}{x - y}} + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r893753 = 60.0;
        double r893754 = x;
        double r893755 = y;
        double r893756 = r893754 - r893755;
        double r893757 = r893753 * r893756;
        double r893758 = z;
        double r893759 = t;
        double r893760 = r893758 - r893759;
        double r893761 = r893757 / r893760;
        double r893762 = a;
        double r893763 = 120.0;
        double r893764 = r893762 * r893763;
        double r893765 = r893761 + r893764;
        return r893765;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r893766 = 60.0;
        double r893767 = z;
        double r893768 = t;
        double r893769 = r893767 - r893768;
        double r893770 = x;
        double r893771 = y;
        double r893772 = r893770 - r893771;
        double r893773 = r893769 / r893772;
        double r893774 = r893766 / r893773;
        double r893775 = a;
        double r893776 = 120.0;
        double r893777 = r893775 * r893776;
        double r893778 = r893774 + r893777;
        return r893778;
}

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
Herbie0.2
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Derivation

  1. Initial program 0.5

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

  3. Applied associate-/l*0.2

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

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2019322 
(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)))