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

Average Error: 0.4 → 0.2

Time: 33.4s

Precision: binary64

Cost: 832

Math

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

↓

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

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
 (+ (/ (- y x) (/ (- t z) 60.0)) (* 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 ((y - x) / ((t - z) / 60.0)) + (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 = ((y - x) / ((t - z) / 60.0d0)) + (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 ((y - x) / ((t - z) / 60.0)) + (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 ((y - x) / ((t - z) / 60.0)) + (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(y - x) / Float64(Float64(t - z) / 60.0)) + 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 = ((y - x) / ((t - z) / 60.0)) + (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[(y - x), $MachinePrecision] / N[(N[(t - z), $MachinePrecision] / 60.0), $MachinePrecision]), $MachinePrecision] + N[(a * 120.0), $MachinePrecision]), $MachinePrecision]

Target

Original	0.4
Target	0.2
Herbie	0.2

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

Derivation

1. Initial program 0.4

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

2. Applied egg-rr 0.2

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

Alternatives

Alternative 1
Error	20.4
Cost	1368

\[\begin{array}{l} t_1 := 120 \cdot a + 60 \cdot \frac{y}{t}\\ t_2 := 120 \cdot a + 60 \cdot \frac{x}{z}\\ \mathbf{if}\;z \leq -3 \cdot 10^{-22}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.1 \cdot 10^{-182}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{-305}:\\ \;\;\;\;120 \cdot a + -60 \cdot \frac{x}{t}\\ \mathbf{elif}\;z \leq 2.4 \cdot 10^{-119}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2 \cdot 10^{+130}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 9.6 \cdot 10^{+177}:\\ \;\;\;\;120 \cdot a + -60 \cdot \frac{y}{z}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 2
Error	20.5
Cost	1368

\[\begin{array}{l} t_1 := 120 \cdot a + 60 \cdot \frac{y}{t}\\ t_2 := 120 \cdot a + 60 \cdot \frac{x}{z}\\ \mathbf{if}\;z \leq -2.3 \cdot 10^{-22}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -4.7 \cdot 10^{-184}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 6.8 \cdot 10^{-306}:\\ \;\;\;\;120 \cdot a + -60 \cdot \frac{x}{t}\\ \mathbf{elif}\;z \leq 2.3 \cdot 10^{-119}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.6 \cdot 10^{+140}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.25 \cdot 10^{+177}:\\ \;\;\;\;120 \cdot a + \frac{y}{\frac{z}{-60}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 3
Error	20.4
Cost	1368

\[\begin{array}{l} t_1 := 120 \cdot a + 60 \cdot \frac{y}{t}\\ t_2 := \frac{60}{z} \cdot x + a \cdot 120\\ \mathbf{if}\;z \leq -9.5 \cdot 10^{-22}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -2 \cdot 10^{-182}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.15 \cdot 10^{-306}:\\ \;\;\;\;120 \cdot a + -60 \cdot \frac{x}{t}\\ \mathbf{elif}\;z \leq 2.4 \cdot 10^{-119}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3 \cdot 10^{+134}:\\ \;\;\;\;120 \cdot a + 60 \cdot \frac{x}{z}\\ \mathbf{elif}\;z \leq 8.2 \cdot 10^{+177}:\\ \;\;\;\;120 \cdot a + \frac{y}{\frac{z}{-60}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 4
Error	20.5
Cost	1368

\[\begin{array}{l} t_1 := 120 \cdot a + 60 \cdot \frac{y}{t}\\ t_2 := \frac{60}{z} \cdot x + a \cdot 120\\ \mathbf{if}\;z \leq -5.5 \cdot 10^{-22}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -6.6 \cdot 10^{-184}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 8.5 \cdot 10^{-305}:\\ \;\;\;\;120 \cdot a + -60 \cdot \frac{x}{t}\\ \mathbf{elif}\;z \leq 2.4 \cdot 10^{-119}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 8.2 \cdot 10^{+132}:\\ \;\;\;\;\frac{60 \cdot x}{z} + a \cdot 120\\ \mathbf{elif}\;z \leq 2.15 \cdot 10^{+177}:\\ \;\;\;\;120 \cdot a + \frac{y}{\frac{z}{-60}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 5
Error	20.5
Cost	1368

\[\begin{array}{l} t_1 := \frac{60 \cdot y}{t} + a \cdot 120\\ t_2 := \frac{60}{z} \cdot x + a \cdot 120\\ \mathbf{if}\;z \leq -4.6 \cdot 10^{-22}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -7.5 \cdot 10^{-182}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 5.4 \cdot 10^{-305}:\\ \;\;\;\;120 \cdot a + -60 \cdot \frac{x}{t}\\ \mathbf{elif}\;z \leq 2.15 \cdot 10^{-119}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 4.5 \cdot 10^{+136}:\\ \;\;\;\;\frac{60 \cdot x}{z} + a \cdot 120\\ \mathbf{elif}\;z \leq 3.95 \cdot 10^{+177}:\\ \;\;\;\;120 \cdot a + \frac{y}{\frac{z}{-60}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 6
Error	25.9
Cost	1236

\[\begin{array}{l} t_1 := 120 \cdot a + -60 \cdot \frac{x}{t}\\ \mathbf{if}\;t \leq -7.5 \cdot 10^{+21}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.8 \cdot 10^{-165}:\\ \;\;\;\;120 \cdot a\\ \mathbf{elif}\;t \leq -6.2 \cdot 10^{-184}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.45 \cdot 10^{-245}:\\ \;\;\;\;\frac{y}{\frac{z}{-60}}\\ \mathbf{elif}\;t \leq 7.8 \cdot 10^{-54}:\\ \;\;\;\;120 \cdot a\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 7
Error	20.8
Cost	1104

\[\begin{array}{l} t_1 := 120 \cdot a + 60 \cdot \frac{x}{z}\\ \mathbf{if}\;z \leq -3.05 \cdot 10^{-40}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.45 \cdot 10^{-127}:\\ \;\;\;\;120 \cdot a + -60 \cdot \frac{x}{t}\\ \mathbf{elif}\;z \leq 1.5 \cdot 10^{+137}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.6 \cdot 10^{+175}:\\ \;\;\;\;120 \cdot a + -60 \cdot \frac{y}{z}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 8
Error	10.1
Cost	1100

\[\begin{array}{l} t_1 := 120 \cdot a + -60 \cdot \frac{x - y}{t}\\ \mathbf{if}\;t \leq -4.2 \cdot 10^{+101}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -9.5 \cdot 10^{-64}:\\ \;\;\;\;\frac{y}{\frac{z - t}{-60}} + a \cdot 120\\ \mathbf{elif}\;t \leq 1.4 \cdot 10^{-29}:\\ \;\;\;\;120 \cdot a + 60 \cdot \frac{x - y}{z}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 9
Error	15.3
Cost	968

\[\begin{array}{l} t_1 := 120 \cdot a + -60 \cdot \frac{x - y}{t}\\ \mathbf{if}\;t \leq -5 \cdot 10^{-64}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 2.7 \cdot 10^{-29}:\\ \;\;\;\;120 \cdot a + 60 \cdot \frac{x}{z}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 10
Error	10.2
Cost	968

\[\begin{array}{l} t_1 := 120 \cdot a + -60 \cdot \frac{x - y}{t}\\ \mathbf{if}\;t \leq -9 \cdot 10^{-24}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 4.5 \cdot 10^{-37}:\\ \;\;\;\;120 \cdot a + 60 \cdot \frac{x - y}{z}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 11
Error	7.0
Cost	968

\[\begin{array}{l} t_1 := \frac{60 \cdot x}{z - t} + a \cdot 120\\ \mathbf{if}\;x \leq -9 \cdot 10^{-33}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 6 \cdot 10^{+29}:\\ \;\;\;\;\frac{y}{\frac{z - t}{-60}} + a \cdot 120\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 12
Error	20.7
Cost	840

\[\begin{array}{l} t_1 := 120 \cdot a + -60 \cdot \frac{x}{t}\\ \mathbf{if}\;t \leq -2.1 \cdot 10^{+77}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 2.5 \cdot 10^{-40}:\\ \;\;\;\;120 \cdot a + -60 \cdot \frac{y}{z}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 13
Error	0.2
Cost	832

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

Alternative 14
Error	28.9
Cost	584

\[\begin{array}{l} \mathbf{if}\;a \leq -3.2 \cdot 10^{-171}:\\ \;\;\;\;120 \cdot a\\ \mathbf{elif}\;a \leq 6.9 \cdot 10^{-223}:\\ \;\;\;\;-60 \cdot \frac{y}{z}\\ \mathbf{else}:\\ \;\;\;\;120 \cdot a\\ \end{array} \]

Alternative 15
Error	28.9
Cost	584

\[\begin{array}{l} \mathbf{if}\;a \leq -1.25 \cdot 10^{-170}:\\ \;\;\;\;120 \cdot a\\ \mathbf{elif}\;a \leq 3.4 \cdot 10^{-220}:\\ \;\;\;\;\frac{-60}{z} \cdot y\\ \mathbf{else}:\\ \;\;\;\;120 \cdot a\\ \end{array} \]

Alternative 16
Error	28.9
Cost	584

\[\begin{array}{l} \mathbf{if}\;a \leq -3.3 \cdot 10^{-171}:\\ \;\;\;\;120 \cdot a\\ \mathbf{elif}\;a \leq 1.05 \cdot 10^{-221}:\\ \;\;\;\;\frac{-60 \cdot y}{z}\\ \mathbf{else}:\\ \;\;\;\;120 \cdot a\\ \end{array} \]

Alternative 17
Error	29.8
Cost	192

\[120 \cdot a \]

Reproduce

herbie shell --seed 2023010 
(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)))