Diagrams.Segment:$catParam from diagrams-lib-1.3.0.3, B

Average Accuracy: 73.9% → 73.9%

Time: 10.7s

Precision: binary64

Cost: 448

Math

\[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y \]

↓

\[y \cdot \left(3 \cdot \left(y \cdot x\right)\right) \]

FPCore

(FPCore (x y) :precision binary64 (* (* (* x 3.0) y) y))

↓

(FPCore (x y) :precision binary64 (* y (* 3.0 (* y x))))

C

double code(double x, double y) {
	return ((x * 3.0) * y) * y;
}

↓

double code(double x, double y) {
	return y * (3.0 * (y * x));
}

Fortran

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = ((x * 3.0d0) * y) * y
end function

↓

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = y * (3.0d0 * (y * x))
end function

Java

public static double code(double x, double y) {
	return ((x * 3.0) * y) * y;
}

↓

public static double code(double x, double y) {
	return y * (3.0 * (y * x));
}

Python

def code(x, y):
	return ((x * 3.0) * y) * y

↓

def code(x, y):
	return y * (3.0 * (y * x))

Julia

function code(x, y)
	return Float64(Float64(Float64(x * 3.0) * y) * y)
end

↓

function code(x, y)
	return Float64(y * Float64(3.0 * Float64(y * x)))
end

MATLAB

function tmp = code(x, y)
	tmp = ((x * 3.0) * y) * y;
end

↓

function tmp = code(x, y)
	tmp = y * (3.0 * (y * x));
end

Wolfram

code[x_, y_] := N[(N[(N[(x * 3.0), $MachinePrecision] * y), $MachinePrecision] * y), $MachinePrecision]

↓

code[x_, y_] := N[(y * N[(3.0 * N[(y * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Target

Original	73.9%
Target	73.9%
Herbie	73.9%

\[\left(x \cdot \left(3 \cdot y\right)\right) \cdot y \]

Derivation

1. Initial program 75.1%

   \[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y \]

2. Taylor expanded in x around 0 75.2%

   \[\leadsto \color{blue}{\left(3 \cdot \left(y \cdot x\right)\right)} \cdot y \]

3. Final simplification 75.2%

   \[\leadsto y \cdot \left(3 \cdot \left(y \cdot x\right)\right) \]

Alternatives

Alternative 1
Accuracy	73.9%
Cost	448

\[3 \cdot \left(y \cdot \left(y \cdot x\right)\right) \]

Reproduce

herbie shell --seed 2023157 
(FPCore (x y)
  :name "Diagrams.Segment:$catParam from diagrams-lib-1.3.0.3, B"
  :precision binary64

  :herbie-target
  (* (* x (* 3.0 y)) y)

  (* (* (* x 3.0) y) y))