?

Average Error: 11.8 → 11.8
Time: 8.7s
Precision: binary64
Cost: 448

?

\[\frac{a1 \cdot a2}{b1 \cdot b2} \]
↓
\[\frac{a1 \cdot a2}{b1 \cdot b2} \]
(FPCore (a1 a2 b1 b2) :precision binary64 (/ (* a1 a2) (* b1 b2)))
↓
(FPCore (a1 a2 b1 b2) :precision binary64 (/ (* a1 a2) (* b1 b2)))
double code(double a1, double a2, double b1, double b2) {
	return (a1 * a2) / (b1 * b2);
}
↓
double code(double a1, double a2, double b1, double b2) {
	return (a1 * a2) / (b1 * b2);
}

real(8) function code(a1, a2, b1, b2)
    real(8), intent (in) :: a1
    real(8), intent (in) :: a2
    real(8), intent (in) :: b1
    real(8), intent (in) :: b2
    code = (a1 * a2) / (b1 * b2)
end function
↓
real(8) function code(a1, a2, b1, b2)
    real(8), intent (in) :: a1
    real(8), intent (in) :: a2
    real(8), intent (in) :: b1
    real(8), intent (in) :: b2
    code = (a1 * a2) / (b1 * b2)
end function

public static double code(double a1, double a2, double b1, double b2) {
	return (a1 * a2) / (b1 * b2);
}
↓
public static double code(double a1, double a2, double b1, double b2) {
	return (a1 * a2) / (b1 * b2);
}

def code(a1, a2, b1, b2):
	return (a1 * a2) / (b1 * b2)
↓
def code(a1, a2, b1, b2):
	return (a1 * a2) / (b1 * b2)

function code(a1, a2, b1, b2)
	return Float64(Float64(a1 * a2) / Float64(b1 * b2))
end
↓
function code(a1, a2, b1, b2)
	return Float64(Float64(a1 * a2) / Float64(b1 * b2))
end

function tmp = code(a1, a2, b1, b2)
	tmp = (a1 * a2) / (b1 * b2);
end
↓
function tmp = code(a1, a2, b1, b2)
	tmp = (a1 * a2) / (b1 * b2);
end

code[a1_, a2_, b1_, b2_] := N[(N[(a1 * a2), $MachinePrecision] / N[(b1 * b2), $MachinePrecision]), $MachinePrecision]
↓
code[a1_, a2_, b1_, b2_] := N[(N[(a1 * a2), $MachinePrecision] / N[(b1 * b2), $MachinePrecision]), $MachinePrecision]

\frac{a1 \cdot a2}{b1 \cdot b2}
↓
\frac{a1 \cdot a2}{b1 \cdot b2}

Error?

Try it out?

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original11.8
Target11.3
Herbie11.8
\[\frac{a1}{b1} \cdot \frac{a2}{b2} \]

Derivation?

  1. Initial program 11.8

    \[\frac{a1 \cdot a2}{b1 \cdot b2} \]

  2. Final simplification11.8

    \[\leadsto \frac{a1 \cdot a2}{b1 \cdot b2} \]

Reproduce?

herbie shell --seed 2023092 
(FPCore (a1 a2 b1 b2)
  :name "Quotient of products"
  :precision binary64

  :herbie-target
  (* (/ a1 b1) (/ a2 b2))

  (/ (* a1 a2) (* b1 b2)))