Average Error: 0.4 → 0.1
Time: 13.4s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[60 \cdot \frac{x - y}{z - t} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
60 \cdot \frac{x - y}{z - t} + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r627771 = 60.0;
        double r627772 = x;
        double r627773 = y;
        double r627774 = r627772 - r627773;
        double r627775 = r627771 * r627774;
        double r627776 = z;
        double r627777 = t;
        double r627778 = r627776 - r627777;
        double r627779 = r627775 / r627778;
        double r627780 = a;
        double r627781 = 120.0;
        double r627782 = r627780 * r627781;
        double r627783 = r627779 + r627782;
        return r627783;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r627784 = 60.0;
        double r627785 = x;
        double r627786 = y;
        double r627787 = r627785 - r627786;
        double r627788 = z;
        double r627789 = t;
        double r627790 = r627788 - r627789;
        double r627791 = r627787 / r627790;
        double r627792 = r627784 * r627791;
        double r627793 = a;
        double r627794 = 120.0;
        double r627795 = r627793 * r627794;
        double r627796 = r627792 + r627795;
        return r627796;
}

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

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

Reproduce

herbie shell --seed 2019305 
(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)))