Average Error: 0.4 → 0.2
Time: 4.6s
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 r835667 = 60.0;
        double r835668 = x;
        double r835669 = y;
        double r835670 = r835668 - r835669;
        double r835671 = r835667 * r835670;
        double r835672 = z;
        double r835673 = t;
        double r835674 = r835672 - r835673;
        double r835675 = r835671 / r835674;
        double r835676 = a;
        double r835677 = 120.0;
        double r835678 = r835676 * r835677;
        double r835679 = r835675 + r835678;
        return r835679;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r835680 = 60.0;
        double r835681 = x;
        double r835682 = y;
        double r835683 = r835681 - r835682;
        double r835684 = z;
        double r835685 = t;
        double r835686 = r835684 - r835685;
        double r835687 = r835683 / r835686;
        double r835688 = r835680 * r835687;
        double r835689 = a;
        double r835690 = 120.0;
        double r835691 = r835689 * r835690;
        double r835692 = r835688 + r835691;
        return r835692;
}

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 *-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-frac0.2

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

  5. Simplified0.2

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

  6. Final simplification0.2

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

Reproduce

herbie shell --seed 2019362 
(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)))