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

Average Error: 0.5 → 0.5

Time: 42.1s

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	0.1
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	9.6
Cost	1232

\[\begin{array}{l} t_1 := \left(\left(a + a\right) + \frac{x}{z - t}\right) \cdot 60\\ t_2 := \left(a + \left(x - y\right) \cdot \frac{0.5}{z}\right) \cdot 120\\ \mathbf{if}\;z \leq -1.4 \cdot 10^{+90}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -6.8 \cdot 10^{-159}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3 \cdot 10^{-103}:\\ \;\;\;\;\left(x - y\right) \cdot \frac{-60}{t} + a \cdot 120\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-10}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 2
Error	9.7
Cost	1232

\[\begin{array}{l} t_1 := \left(a + \left(x - y\right) \cdot \frac{0.5}{z}\right) \cdot 120\\ \mathbf{if}\;z \leq -2.6 \cdot 10^{+90}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -6.8 \cdot 10^{-159}:\\ \;\;\;\;\left(\left(a + a\right) + \frac{x}{z - t}\right) \cdot 60\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{-108}:\\ \;\;\;\;\left(x - y\right) \cdot \frac{-60}{t} + a \cdot 120\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-10}:\\ \;\;\;\;\frac{60 \cdot x}{z - t} + a \cdot 120\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 3
Error	23.9
Cost	1108

\[\begin{array}{l} t_1 := -60 \cdot \frac{y}{z - t}\\ t_2 := 60 \cdot \frac{x}{z - t}\\ \mathbf{if}\;a \leq -1.2 \cdot 10^{-110}:\\ \;\;\;\;120 \cdot a\\ \mathbf{elif}\;a \leq -5 \cdot 10^{-274}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 1.05 \cdot 10^{-190}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 3.35 \cdot 10^{-143}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 3.2 \cdot 10^{-129}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;120 \cdot a\\ \end{array} \]

Alternative 4
Error	24.3
Cost	1108

\[\begin{array}{l} t_1 := -60 \cdot \frac{y}{z - t}\\ \mathbf{if}\;a \leq -1.2 \cdot 10^{-110}:\\ \;\;\;\;120 \cdot a\\ \mathbf{elif}\;a \leq 2 \cdot 10^{-301}:\\ \;\;\;\;60 \cdot \frac{x - y}{z}\\ \mathbf{elif}\;a \leq 9.2 \cdot 10^{-191}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.75 \cdot 10^{-142}:\\ \;\;\;\;60 \cdot \frac{x}{z - t}\\ \mathbf{elif}\;a \leq 3.2 \cdot 10^{-129}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;120 \cdot a\\ \end{array} \]

Alternative 5
Error	24.4
Cost	1108

\[\begin{array}{l} t_1 := -60 \cdot \frac{y}{z - t}\\ \mathbf{if}\;a \leq -2.1 \cdot 10^{-110}:\\ \;\;\;\;120 \cdot a\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-301}:\\ \;\;\;\;\left(x - y\right) \cdot \frac{60}{z}\\ \mathbf{elif}\;a \leq 5.6 \cdot 10^{-191}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.15 \cdot 10^{-143}:\\ \;\;\;\;60 \cdot \frac{x}{z - t}\\ \mathbf{elif}\;a \leq 3.4 \cdot 10^{-129}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;120 \cdot a\\ \end{array} \]

Alternative 6
Error	15.0
Cost	968

\[\begin{array}{l} t_1 := \left(a + \left(x - y\right) \cdot \frac{0.5}{z}\right) \cdot 120\\ \mathbf{if}\;z \leq -1.35 \cdot 10^{-61}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 5.6 \cdot 10^{-64}:\\ \;\;\;\;120 \cdot a + -60 \cdot \frac{x}{t}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 7
Error	12.5
Cost	968

\[\begin{array}{l} t_1 := \left(a + \left(x - y\right) \cdot \frac{0.5}{z}\right) \cdot 120\\ \mathbf{if}\;z \leq -2.85 \cdot 10^{+88}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-10}:\\ \;\;\;\;\left(\left(a + a\right) + \frac{x}{z - t}\right) \cdot 60\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 8
Error	15.4
Cost	840

\[\begin{array}{l} \mathbf{if}\;a \leq -4.3 \cdot 10^{-110}:\\ \;\;\;\;120 \cdot a\\ \mathbf{elif}\;a \leq 3.7 \cdot 10^{-67}:\\ \;\;\;\;60 \cdot \frac{x - y}{z - t}\\ \mathbf{else}:\\ \;\;\;\;120 \cdot a\\ \end{array} \]

Alternative 9
Error	14.9
Cost	840

\[\begin{array}{l} \mathbf{if}\;a \leq -4.2 \cdot 10^{+23}:\\ \;\;\;\;120 \cdot a\\ \mathbf{elif}\;a \leq 1.15 \cdot 10^{-65}:\\ \;\;\;\;\left(x - y\right) \cdot \frac{60}{z - t}\\ \mathbf{else}:\\ \;\;\;\;120 \cdot a\\ \end{array} \]

Alternative 10
Error	14.6
Cost	840

\[\begin{array}{l} \mathbf{if}\;a \leq -6.5 \cdot 10^{+17}:\\ \;\;\;\;120 \cdot a\\ \mathbf{elif}\;a \leq 1.8 \cdot 10^{-21}:\\ \;\;\;\;\frac{60}{\frac{z - t}{x - y}}\\ \mathbf{else}:\\ \;\;\;\;120 \cdot a\\ \end{array} \]

Alternative 11
Error	15.5
Cost	840

\[\begin{array}{l} \mathbf{if}\;a \leq -4.4 \cdot 10^{-110}:\\ \;\;\;\;120 \cdot a\\ \mathbf{elif}\;a \leq 8 \cdot 10^{-67}:\\ \;\;\;\;\frac{\frac{x - y}{0.016666666666666666}}{z - t}\\ \mathbf{else}:\\ \;\;\;\;120 \cdot a\\ \end{array} \]

Alternative 12
Error	0.2
Cost	832

\[\left(a + \left(x - y\right) \cdot \frac{0.5}{z - t}\right) \cdot 120 \]

Alternative 13
Error	0.1
Cost	832

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

Alternative 14
Error	0.1
Cost	832

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

Alternative 15
Error	24.5
Cost	712

\[\begin{array}{l} \mathbf{if}\;a \leq -1.15 \cdot 10^{-114}:\\ \;\;\;\;120 \cdot a\\ \mathbf{elif}\;a \leq 3.5 \cdot 10^{-129}:\\ \;\;\;\;-60 \cdot \frac{y}{z - t}\\ \mathbf{else}:\\ \;\;\;\;120 \cdot a\\ \end{array} \]

Alternative 16
Error	27.7
Cost	584

\[\begin{array}{l} \mathbf{if}\;a \leq -2.2 \cdot 10^{-220}:\\ \;\;\;\;120 \cdot a\\ \mathbf{elif}\;a \leq 3.45 \cdot 10^{-158}:\\ \;\;\;\;-60 \cdot \frac{x}{t}\\ \mathbf{else}:\\ \;\;\;\;120 \cdot a\\ \end{array} \]

Alternative 17
Error	27.9
Cost	584

\[\begin{array}{l} \mathbf{if}\;a \leq -4.8 \cdot 10^{-193}:\\ \;\;\;\;120 \cdot a\\ \mathbf{elif}\;a \leq 3.1 \cdot 10^{-157}:\\ \;\;\;\;-60 \cdot \frac{y}{z}\\ \mathbf{else}:\\ \;\;\;\;120 \cdot a\\ \end{array} \]

Alternative 18
Error	28.6
Cost	192

\[120 \cdot a \]

Reproduce

herbie shell --seed 2023068 
(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)))