Average Error: 0.4 → 0.2
Time: 14.7s
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 r573465 = 60.0;
        double r573466 = x;
        double r573467 = y;
        double r573468 = r573466 - r573467;
        double r573469 = r573465 * r573468;
        double r573470 = z;
        double r573471 = t;
        double r573472 = r573470 - r573471;
        double r573473 = r573469 / r573472;
        double r573474 = a;
        double r573475 = 120.0;
        double r573476 = r573474 * r573475;
        double r573477 = r573473 + r573476;
        return r573477;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r573478 = 60.0;
        double r573479 = z;
        double r573480 = t;
        double r573481 = r573479 - r573480;
        double r573482 = x;
        double r573483 = y;
        double r573484 = r573482 - r573483;
        double r573485 = r573481 / r573484;
        double r573486 = r573478 / r573485;
        double r573487 = a;
        double r573488 = 120.0;
        double r573489 = r573487 * r573488;
        double r573490 = r573486 + r573489;
        return r573490;
}

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 2019325 
(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)))