Average Error: 0.4 → 0.1
Time: 11.0s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{x - y}{\frac{z - t}{60}} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{x - y}{\frac{z - t}{60}} + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r642987 = 60.0;
        double r642988 = x;
        double r642989 = y;
        double r642990 = r642988 - r642989;
        double r642991 = r642987 * r642990;
        double r642992 = z;
        double r642993 = t;
        double r642994 = r642992 - r642993;
        double r642995 = r642991 / r642994;
        double r642996 = a;
        double r642997 = 120.0;
        double r642998 = r642996 * r642997;
        double r642999 = r642995 + r642998;
        return r642999;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r643000 = x;
        double r643001 = y;
        double r643002 = r643000 - r643001;
        double r643003 = z;
        double r643004 = t;
        double r643005 = r643003 - r643004;
        double r643006 = 60.0;
        double r643007 = r643005 / r643006;
        double r643008 = r643002 / r643007;
        double r643009 = a;
        double r643010 = 120.0;
        double r643011 = r643009 * r643010;
        double r643012 = r643008 + r643011;
        return r643012;
}

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 sub-neg0.4

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

  4. Applied distribute-lft-in0.4

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

  5. Final simplification0.1

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

Reproduce

herbie shell --seed 2019303 
(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)))