Data.Colour.RGB:hslsv from colour-2.3.3, B

Average Error: 0.5 → 0.5

Time: 22.7s

Precision: binary64

Cost: 832

Math

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

↓

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

FPCore

(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)))

C

double code(double x, double y, double z, double t, double a) {
	return ((60.0 * (x - y)) / (z - t)) + (a * 120.0);
}

↓

double code(double x, double y, double z, double t, double a) {
	return ((60.0 * (x - y)) / (z - t)) + (a * 120.0);
}

Fortran

real(8) function code(x, y, z, t, a)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    code = ((60.0d0 * (x - y)) / (z - t)) + (a * 120.0d0)
end function

↓

real(8) function code(x, y, z, t, a)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    code = ((60.0d0 * (x - y)) / (z - t)) + (a * 120.0d0)
end function

Java

public static double code(double x, double y, double z, double t, double a) {
	return ((60.0 * (x - y)) / (z - t)) + (a * 120.0);
}

↓

public static double code(double x, double y, double z, double t, double a) {
	return ((60.0 * (x - y)) / (z - t)) + (a * 120.0);
}

Python

def code(x, y, z, t, a):
	return ((60.0 * (x - y)) / (z - t)) + (a * 120.0)

↓

def code(x, y, z, t, a):
	return ((60.0 * (x - y)) / (z - t)) + (a * 120.0)

Julia

function code(x, y, z, t, a)
	return Float64(Float64(Float64(60.0 * Float64(x - y)) / Float64(z - t)) + Float64(a * 120.0))
end

↓

function code(x, y, z, t, a)
	return Float64(Float64(Float64(60.0 * Float64(x - y)) / Float64(z - t)) + Float64(a * 120.0))
end

MATLAB

function tmp = code(x, y, z, t, a)
	tmp = ((60.0 * (x - y)) / (z - t)) + (a * 120.0);
end

↓

function tmp = code(x, y, z, t, a)
	tmp = ((60.0 * (x - y)) / (z - t)) + (a * 120.0);
end

Wolfram

code[x_, y_, z_, t_, a_] := N[(N[(N[(60.0 * N[(x - y), $MachinePrecision]), $MachinePrecision] / N[(z - t), $MachinePrecision]), $MachinePrecision] + N[(a * 120.0), $MachinePrecision]), $MachinePrecision]

↓

code[x_, y_, z_, t_, a_] := N[(N[(N[(60.0 * N[(x - y), $MachinePrecision]), $MachinePrecision] / N[(z - t), $MachinePrecision]), $MachinePrecision] + N[(a * 120.0), $MachinePrecision]), $MachinePrecision]

Target

Original	0.5
Target	0.2
Herbie	0.5

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

Derivation

1. Initial program 0.5

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

2. Final simplification 0.5

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

Alternatives

Alternative 1
Error	26.9
Cost	2396

\[\begin{array}{l} t_1 := a \cdot 120 + y \cdot \frac{-60}{z}\\ \mathbf{if}\;a \cdot 120 \leq -2 \cdot 10^{-74}:\\ \;\;\;\;a \cdot 120\\ \mathbf{elif}\;a \cdot 120 \leq -5 \cdot 10^{-241}:\\ \;\;\;\;y \cdot \frac{60}{t - z}\\ \mathbf{elif}\;a \cdot 120 \leq 2 \cdot 10^{-263}:\\ \;\;\;\;\frac{x \cdot -60}{t - z}\\ \mathbf{elif}\;a \cdot 120 \leq 2 \cdot 10^{-177}:\\ \;\;\;\;\frac{60}{\frac{t - z}{y}}\\ \mathbf{elif}\;a \cdot 120 \leq 4 \cdot 10^{-101}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \cdot 120 \leq 5 \cdot 10^{-13}:\\ \;\;\;\;-60 \cdot \frac{y - x}{z}\\ \mathbf{elif}\;a \cdot 120 \leq 2 \cdot 10^{+66}:\\ \;\;\;\;a \cdot 120\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 2
Error	20.4
Cost	1764

\[\begin{array}{l} t_1 := \frac{60 \cdot \left(y - x\right)}{t - z}\\ t_2 := a \cdot 120 + 60 \cdot \frac{x}{z}\\ t_3 := a \cdot 120 + y \cdot \frac{-60}{z}\\ \mathbf{if}\;t \leq -3.267364369568142 \cdot 10^{+106}:\\ \;\;\;\;a \cdot 120 + x \cdot \frac{-60}{t}\\ \mathbf{elif}\;t \leq -5.920138609530139 \cdot 10^{+75}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -9.17781787895581 \cdot 10^{+38}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -4.782528231707174 \cdot 10^{-79}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.65 \cdot 10^{-195}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.05 \cdot 10^{-286}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 9.8 \cdot 10^{-179}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 6.445626109092952 \cdot 10^{-68}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.6378964310627438 \cdot 10^{+21}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;a \cdot 120 + 60 \cdot \frac{y}{t}\\ \end{array} \]

Alternative 3
Error	20.4
Cost	1764

\[\begin{array}{l} t_1 := \frac{60 \cdot \left(y - x\right)}{t - z}\\ t_2 := a \cdot 120 + 60 \cdot \frac{x}{z}\\ t_3 := a \cdot 120 + y \cdot \frac{-60}{z}\\ \mathbf{if}\;t \leq -3.267364369568142 \cdot 10^{+106}:\\ \;\;\;\;a \cdot 120 + x \cdot \frac{-60}{t}\\ \mathbf{elif}\;t \leq -5.920138609530139 \cdot 10^{+75}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -9.17781787895581 \cdot 10^{+38}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -4.782528231707174 \cdot 10^{-79}:\\ \;\;\;\;\left(y - x\right) \cdot \frac{60}{t - z}\\ \mathbf{elif}\;t \leq -1.65 \cdot 10^{-195}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.05 \cdot 10^{-286}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 9.8 \cdot 10^{-179}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 6.445626109092952 \cdot 10^{-68}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.6378964310627438 \cdot 10^{+21}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;a \cdot 120 + 60 \cdot \frac{y}{t}\\ \end{array} \]

Alternative 4
Error	26.3
Cost	1632

\[\begin{array}{l} t_1 := a \cdot 120 + y \cdot \frac{-60}{z}\\ t_2 := a \cdot 120 + 60 \cdot \frac{y}{t}\\ \mathbf{if}\;x \leq -2.9800323889608173 \cdot 10^{+174}:\\ \;\;\;\;\frac{x \cdot -60}{t - z}\\ \mathbf{elif}\;x \leq -1.5817055234956398 \cdot 10^{-130}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -2.1934593230252892 \cdot 10^{-209}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.0269242453569888 \cdot 10^{-245}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.076782277854486 \cdot 10^{-188}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 4.975918112768789 \cdot 10^{+75}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 6.107698758709279 \cdot 10^{+133}:\\ \;\;\;\;-60 \cdot \frac{x}{t - z}\\ \mathbf{elif}\;x \leq 5.982227831194957 \cdot 10^{+153}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;x \cdot \frac{-60}{t - z}\\ \end{array} \]

Alternative 5
Error	20.9
Cost	1236

\[\begin{array}{l} t_1 := a \cdot 120 + 60 \cdot \frac{x}{z}\\ \mathbf{if}\;z \leq -2.3116739680324984 \cdot 10^{-25}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 7.2644219908388435 \cdot 10^{-59}:\\ \;\;\;\;a \cdot 120 + 60 \cdot \frac{y}{t}\\ \mathbf{elif}\;z \leq 301462975953211700:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.447891273082628 \cdot 10^{+52}:\\ \;\;\;\;\frac{y}{\left(t - z\right) \cdot 0.016666666666666666}\\ \mathbf{elif}\;z \leq 5.481340022003956 \cdot 10^{+78}:\\ \;\;\;\;-60 \cdot \frac{y - x}{z}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 6
Error	15.1
Cost	1096

\[\begin{array}{l} \mathbf{if}\;a \cdot 120 \leq -5 \cdot 10^{-21}:\\ \;\;\;\;a \cdot 120\\ \mathbf{elif}\;a \cdot 120 \leq 20000:\\ \;\;\;\;\frac{60 \cdot \left(y - x\right)}{t - z}\\ \mathbf{else}:\\ \;\;\;\;a \cdot 120\\ \end{array} \]

Alternative 7
Error	26.2
Cost	976

\[\begin{array}{l} t_1 := \frac{x \cdot -60}{t - z}\\ \mathbf{if}\;a \leq -7.634817705880239 \cdot 10^{-134}:\\ \;\;\;\;a \cdot 120\\ \mathbf{elif}\;a \leq 2.6055263423323078 \cdot 10^{-260}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.0877088693901857 \cdot 10^{-179}:\\ \;\;\;\;\frac{60}{\frac{t}{y}}\\ \mathbf{elif}\;a \leq 2.1183571315957475 \cdot 10^{-17}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;a \cdot 120\\ \end{array} \]

Alternative 8
Error	25.7
Cost	976

\[\begin{array}{l} t_1 := \frac{y}{\left(t - z\right) \cdot 0.016666666666666666}\\ \mathbf{if}\;a \leq -2.0541069899953204 \cdot 10^{-76}:\\ \;\;\;\;a \cdot 120\\ \mathbf{elif}\;a \leq -4.440156712374861 \cdot 10^{-243}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.325026154048384 \cdot 10^{-265}:\\ \;\;\;\;\frac{x \cdot -60}{t - z}\\ \mathbf{elif}\;a \leq 2.210927393727683 \cdot 10^{-15}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;a \cdot 120\\ \end{array} \]

Alternative 9
Error	25.7
Cost	976

\[\begin{array}{l} \mathbf{if}\;a \leq -2.0541069899953204 \cdot 10^{-76}:\\ \;\;\;\;a \cdot 120\\ \mathbf{elif}\;a \leq -4.440156712374861 \cdot 10^{-243}:\\ \;\;\;\;y \cdot \frac{60}{t - z}\\ \mathbf{elif}\;a \leq 1.325026154048384 \cdot 10^{-265}:\\ \;\;\;\;\frac{x \cdot -60}{t - z}\\ \mathbf{elif}\;a \leq 2.210927393727683 \cdot 10^{-15}:\\ \;\;\;\;\frac{y}{\left(t - z\right) \cdot 0.016666666666666666}\\ \mathbf{else}:\\ \;\;\;\;a \cdot 120\\ \end{array} \]

Alternative 10
Error	13.9
Cost	972

\[\begin{array}{l} \mathbf{if}\;x \leq -6.88165988553158 \cdot 10^{+177}:\\ \;\;\;\;\frac{60 \cdot \left(y - x\right)}{t - z}\\ \mathbf{elif}\;x \leq 4.975918112768789 \cdot 10^{+75}:\\ \;\;\;\;\frac{y \cdot -60}{z - t} + a \cdot 120\\ \mathbf{elif}\;x \leq 7.153163943074829 \cdot 10^{+146}:\\ \;\;\;\;60 \cdot \frac{y - x}{t - z}\\ \mathbf{else}:\\ \;\;\;\;a \cdot 120 + 60 \cdot \frac{x}{z}\\ \end{array} \]

Alternative 11
Error	6.7
Cost	968

\[\begin{array}{l} t_1 := \frac{60 \cdot x}{z - t} + a \cdot 120\\ \mathbf{if}\;x \leq -1.0099980643966763 \cdot 10^{+29}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 5.58210036445772 \cdot 10^{+61}:\\ \;\;\;\;\frac{y \cdot -60}{z - t} + a \cdot 120\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 12
Error	28.6
Cost	848

\[\begin{array}{l} \mathbf{if}\;a \leq -3.510442649166879 \cdot 10^{-155}:\\ \;\;\;\;a \cdot 120\\ \mathbf{elif}\;a \leq -4.440156712374861 \cdot 10^{-243}:\\ \;\;\;\;y \cdot \frac{-60}{z}\\ \mathbf{elif}\;a \leq 4.215315915321471 \cdot 10^{-270}:\\ \;\;\;\;x \cdot \frac{60}{z}\\ \mathbf{elif}\;a \leq 1.0747080897393841 \cdot 10^{-198}:\\ \;\;\;\;\frac{y}{t \cdot 0.016666666666666666}\\ \mathbf{else}:\\ \;\;\;\;a \cdot 120\\ \end{array} \]

Alternative 13
Error	28.6
Cost	584

\[\begin{array}{l} \mathbf{if}\;a \leq -7.634817705880239 \cdot 10^{-134}:\\ \;\;\;\;a \cdot 120\\ \mathbf{elif}\;a \leq 1.0747080897393841 \cdot 10^{-198}:\\ \;\;\;\;\frac{y}{t \cdot 0.016666666666666666}\\ \mathbf{else}:\\ \;\;\;\;a \cdot 120\\ \end{array} \]

Alternative 14
Error	28.9
Cost	584

\[\begin{array}{l} \mathbf{if}\;a \leq -3.510442649166879 \cdot 10^{-155}:\\ \;\;\;\;a \cdot 120\\ \mathbf{elif}\;a \leq -9.687348141796715 \cdot 10^{-307}:\\ \;\;\;\;y \cdot \frac{-60}{z}\\ \mathbf{else}:\\ \;\;\;\;a \cdot 120\\ \end{array} \]

Alternative 15
Error	29.3
Cost	192

\[a \cdot 120 \]

Reproduce

herbie shell --seed 2022300 
(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)))