Average Error: 0.4 → 0.2
Time: 12.3s
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 r569693 = 60.0;
        double r569694 = x;
        double r569695 = y;
        double r569696 = r569694 - r569695;
        double r569697 = r569693 * r569696;
        double r569698 = z;
        double r569699 = t;
        double r569700 = r569698 - r569699;
        double r569701 = r569697 / r569700;
        double r569702 = a;
        double r569703 = 120.0;
        double r569704 = r569702 * r569703;
        double r569705 = r569701 + r569704;
        return r569705;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r569706 = 60.0;
        double r569707 = z;
        double r569708 = t;
        double r569709 = r569707 - r569708;
        double r569710 = x;
        double r569711 = y;
        double r569712 = r569710 - r569711;
        double r569713 = r569709 / r569712;
        double r569714 = r569706 / r569713;
        double r569715 = a;
        double r569716 = 120.0;
        double r569717 = r569715 * r569716;
        double r569718 = r569714 + r569717;
        return r569718;
}

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. Final simplification0.2

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

Reproduce

herbie shell --seed 2019326 
(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)))