Development.Shake.Profile:generateTrace from shake-0.15.5

Average Error: 0 → 0

Time: 627.0ms

Precision: binary64

Cost: 64

Math

\[1000000 \cdot \left(x - x\right) \]

↓

\[0 \]

FPCore

(FPCore (x) :precision binary64 (* 1000000.0 (- x x)))

↓

(FPCore (x) :precision binary64 0.0)

C

double code(double x) {
	return 1000000.0 * (x - x);
}

↓

double code(double x) {
	return 0.0;
}

Fortran

real(8) function code(x)
    real(8), intent (in) :: x
    code = 1000000.0d0 * (x - x)
end function

↓

real(8) function code(x)
    real(8), intent (in) :: x
    code = 0.0d0
end function

Java

public static double code(double x) {
	return 1000000.0 * (x - x);
}

↓

public static double code(double x) {
	return 0.0;
}

Python

def code(x):
	return 1000000.0 * (x - x)

↓

def code(x):
	return 0.0

Julia

function code(x)
	return Float64(1000000.0 * Float64(x - x))
end

↓

function code(x)
	return 0.0
end

MATLAB

function tmp = code(x)
	tmp = 1000000.0 * (x - x);
end

↓

function tmp = code(x)
	tmp = 0.0;
end

Wolfram

code[x_] := N[(1000000.0 * N[(x - x), $MachinePrecision]), $MachinePrecision]

↓

code[x_] := 0.0

Target

Original	0
Target	0
Herbie	0

\[0 \]

Derivation

1. Initial program 0

   \[1000000 \cdot \left(x - x\right) \]

2. Simplified 0

   \[\leadsto \color{blue}{0} \]
   Proof

   [Start] 0	\[ 1000000 \cdot \left(x - x\right) \]
   *-commutative [=>] 0	\[ \color{blue}{\left(x - x\right) \cdot 1000000} \]
   +-inverses [=>] 0	\[ \color{blue}{0} \cdot 1000000 \]
   metadata-eval [=>] 0	\[ \color{blue}{0} \]

3. Final simplification 0

   \[\leadsto 0 \]

Reproduce

herbie shell --seed 2023187 
(FPCore (x)
  :name "Development.Shake.Profile:generateTrace from shake-0.15.5"
  :precision binary64

  :herbie-target
  0.0

  (* 1000000.0 (- x x)))