Graphics.Rendering.Plot.Render.Plot.Axis:renderAxisTick from plot-0.2.3.4, A

Average Error: 11.1 → 1.2

Time: 1.7min

Precision: binary64

Cost: 964

Math

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

↓

\[x + \begin{array}{l} \mathbf{if}\;y - z \ne 0:\\ \;\;\;\;\frac{t}{\frac{a - z}{y - z}}\\ \mathbf{else}:\\ \;\;\;\;\frac{y - z}{a - z} \cdot t\\ \end{array} \]

FPCore

(FPCore (x y z t a) :precision binary64 (+ x (/ (* (- y z) t) (- a z))))

↓

(FPCore (x y z t a)
 :precision binary64
 (+
  x
  (if (!= (- y z) 0.0) (/ t (/ (- a z) (- y z))) (* (/ (- y z) (- a z)) t))))

C

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

↓

double code(double x, double y, double z, double t, double a) {
	double tmp;
	if ((y - z) != 0.0) {
		tmp = t / ((a - z) / (y - z));
	} else {
		tmp = ((y - z) / (a - z)) * t;
	}
	return x + tmp;
}

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 = x + (((y - z) * t) / (a - z))
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
    real(8) :: tmp
    if ((y - z) /= 0.0d0) then
        tmp = t / ((a - z) / (y - z))
    else
        tmp = ((y - z) / (a - z)) * t
    end if
    code = x + tmp
end function

Java

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

↓

public static double code(double x, double y, double z, double t, double a) {
	double tmp;
	if ((y - z) != 0.0) {
		tmp = t / ((a - z) / (y - z));
	} else {
		tmp = ((y - z) / (a - z)) * t;
	}
	return x + tmp;
}

Python

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

↓

def code(x, y, z, t, a):
	tmp = 0
	if (y - z) != 0.0:
		tmp = t / ((a - z) / (y - z))
	else:
		tmp = ((y - z) / (a - z)) * t
	return x + tmp

Julia

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

↓

function code(x, y, z, t, a)
	tmp = 0.0
	if (Float64(y - z) != 0.0)
		tmp = Float64(t / Float64(Float64(a - z) / Float64(y - z)));
	else
		tmp = Float64(Float64(Float64(y - z) / Float64(a - z)) * t);
	end
	return Float64(x + tmp)
end

MATLAB

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

↓

function tmp_2 = code(x, y, z, t, a)
	tmp = 0.0;
	if ((y - z) ~= 0.0)
		tmp = t / ((a - z) / (y - z));
	else
		tmp = ((y - z) / (a - z)) * t;
	end
	tmp_2 = x + tmp;
end

Wolfram

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

↓

code[x_, y_, z_, t_, a_] := N[(x + If[Unequal[N[(y - z), $MachinePrecision], 0.0], N[(t / N[(N[(a - z), $MachinePrecision] / N[(y - z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(N[(y - z), $MachinePrecision] / N[(a - z), $MachinePrecision]), $MachinePrecision] * t), $MachinePrecision]]), $MachinePrecision]

Target

Original	11.1
Target	0.6
Herbie	1.2

\[\begin{array}{l} \mathbf{if}\;t < -1.0682974490174067 \cdot 10^{-39}:\\ \;\;\;\;x + \frac{y - z}{a - z} \cdot t\\ \mathbf{elif}\;t < 3.9110949887586375 \cdot 10^{-141}:\\ \;\;\;\;x + \frac{\left(y - z\right) \cdot t}{a - z}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y - z}{a - z} \cdot t\\ \end{array} \]

Derivation

1. Initial program 11.1

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

2. Applied egg-rr 1.2

   \[\leadsto x + \color{blue}{\begin{array}{l} \color{blue}{\mathbf{if}\;y - z \ne 0:\\ \;\;\;\;\frac{t}{\frac{a - z}{y - z}}\\ \mathbf{else}:\\ \;\;\;\;\frac{y - z}{a - z} \cdot t\\ } \end{array}} \]

Alternatives

Alternative 1
Error	3.6
Cost	1992

\[\begin{array}{l} t_1 := \frac{z - y}{z} \cdot t + x\\ t_2 := \frac{\left(y - z\right) \cdot t}{a - z}\\ \mathbf{if}\;t_2 \leq -\infty:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_2 \leq 5 \cdot 10^{+297}:\\ \;\;\;\;x + t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 2
Error	9.0
Cost	1104

\[\begin{array}{l} t_1 := x + \frac{t}{a - z} \cdot y\\ t_2 := \frac{z - y}{z} \cdot t + x\\ \mathbf{if}\;z \leq -3 \cdot 10^{+24}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -3.1 \cdot 10^{-167}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -9.8 \cdot 10^{-245}:\\ \;\;\;\;\frac{t \cdot \left(y - z\right)}{a} + x\\ \mathbf{elif}\;z \leq 2500000:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 3
Error	21.6
Cost	912

\[\begin{array}{l} \mathbf{if}\;z \leq -8.2 \cdot 10^{-73}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{-143}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 2.4 \cdot 10^{-61}:\\ \;\;\;\;\frac{y \cdot t}{a}\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{-59}:\\ \;\;\;\;\frac{t \cdot y}{-z}\\ \mathbf{else}:\\ \;\;\;\;x + t\\ \end{array} \]

Alternative 4
Error	21.9
Cost	844

\[\begin{array}{l} \mathbf{if}\;z \leq -1.3 \cdot 10^{-72}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq 6 \cdot 10^{-143}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 9 \cdot 10^{-33}:\\ \;\;\;\;t \cdot \frac{y - z}{a}\\ \mathbf{else}:\\ \;\;\;\;x + t\\ \end{array} \]

Alternative 5
Error	10.7
Cost	840

\[\begin{array}{l} \mathbf{if}\;z \leq -2.6 \cdot 10^{+55}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq 1.85 \cdot 10^{+135}:\\ \;\;\;\;x + \frac{t}{a - z} \cdot y\\ \mathbf{else}:\\ \;\;\;\;x + t\\ \end{array} \]

Alternative 6
Error	8.7
Cost	840

\[\begin{array}{l} t_1 := \frac{z - y}{z} \cdot t + x\\ \mathbf{if}\;z \leq -1.05 \cdot 10^{+19}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1050000000:\\ \;\;\;\;x + \frac{t}{a - z} \cdot y\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 7
Error	20.8
Cost	720

\[\begin{array}{l} \mathbf{if}\;z \leq -2.7 \cdot 10^{-73}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{-143}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 7.8 \cdot 10^{-95}:\\ \;\;\;\;\frac{t}{a} \cdot y\\ \mathbf{elif}\;z \leq 4.9 \cdot 10^{-60}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;x + t\\ \end{array} \]

Alternative 8
Error	20.8
Cost	720

\[\begin{array}{l} \mathbf{if}\;z \leq -3.4 \cdot 10^{-72}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{-143}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 7.8 \cdot 10^{-95}:\\ \;\;\;\;\frac{y}{a} \cdot t\\ \mathbf{elif}\;z \leq 9.8 \cdot 10^{-60}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;x + t\\ \end{array} \]

Alternative 9
Error	20.9
Cost	720

\[\begin{array}{l} \mathbf{if}\;z \leq -1.08 \cdot 10^{-72}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{-143}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 7.8 \cdot 10^{-95}:\\ \;\;\;\;\frac{y \cdot t}{a}\\ \mathbf{elif}\;z \leq 2 \cdot 10^{-59}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;x + t\\ \end{array} \]

Alternative 10
Error	14.6
Cost	712

\[\begin{array}{l} \mathbf{if}\;z \leq -9.6 \cdot 10^{-50}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq 45000000:\\ \;\;\;\;\frac{t}{a} \cdot y + x\\ \mathbf{else}:\\ \;\;\;\;x + t\\ \end{array} \]

Alternative 11
Error	1.3
Cost	704

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

Alternative 12
Error	19.9
Cost	456

\[\begin{array}{l} \mathbf{if}\;z \leq -2.6 \cdot 10^{-72}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq 1.7 \cdot 10^{-59}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;x + t\\ \end{array} \]

Alternative 13
Error	29.0
Cost	64

\[x \]

Reproduce

herbie shell --seed 2023033 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Plot.Render.Plot.Axis:renderAxisTick from plot-0.2.3.4, A"
  :precision binary64

  :herbie-target
  (if (< t -1.0682974490174067e-39) (+ x (* (/ (- y z) (- a z)) t)) (if (< t 3.9110949887586375e-141) (+ x (/ (* (- y z) t) (- a z))) (+ x (* (/ (- y z) (- a z)) t))))

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