Average Error: 0.5 → 0.2
Time: 4.7s
Precision: binary64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[60 \cdot \frac{x - y}{z - t} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
60 \cdot \frac{x - y}{z - t} + a \cdot 120
(FPCore (x y z t a)
 :precision binary64
 (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))
↓
(FPCore (x y z t a)
 :precision binary64
 (+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0)))
double code(double x, double y, double z, double t, double a) {
	return ((double) ((((double) (60.0 * ((double) (x - y)))) / ((double) (z - t))) + ((double) (a * 120.0))));
}
↓
double code(double x, double y, double z, double t, double a) {
	return ((double) (((double) (60.0 * (((double) (x - y)) / ((double) (z - t))))) + ((double) (a * 120.0))));
}

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

Original0.5
Target0.2
Herbie0.2
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Derivation

  1. Initial program 0.5

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

  2. Simplified0.2

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

  3. Final simplification0.2

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

Reproduce

herbie shell --seed 2020198 
(FPCore (x y z t a)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, B"
  :precision binary64

  :herbie-target
  (+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))

  (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))