?

Average Error: 5.7 → 5.7
Time: 14.6s
Precision: binary64
Cost: 19392

?

\[e^{\log a + \log b} \]
↓
\[e^{\log a + \log b} \]
(FPCore (a b) :precision binary64 (exp (+ (log a) (log b))))
↓
(FPCore (a b) :precision binary64 (exp (+ (log a) (log b))))
double code(double a, double b) {
	return exp((log(a) + log(b)));
}
↓
double code(double a, double b) {
	return exp((log(a) + log(b)));
}

real(8) function code(a, b)
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    code = exp((log(a) + log(b)))
end function
↓
real(8) function code(a, b)
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    code = exp((log(a) + log(b)))
end function

public static double code(double a, double b) {
	return Math.exp((Math.log(a) + Math.log(b)));
}
↓
public static double code(double a, double b) {
	return Math.exp((Math.log(a) + Math.log(b)));
}

def code(a, b):
	return math.exp((math.log(a) + math.log(b)))
↓
def code(a, b):
	return math.exp((math.log(a) + math.log(b)))

function code(a, b)
	return exp(Float64(log(a) + log(b)))
end
↓
function code(a, b)
	return exp(Float64(log(a) + log(b)))
end

function tmp = code(a, b)
	tmp = exp((log(a) + log(b)));
end
↓
function tmp = code(a, b)
	tmp = exp((log(a) + log(b)));
end

code[a_, b_] := N[Exp[N[(N[Log[a], $MachinePrecision] + N[Log[b], $MachinePrecision]), $MachinePrecision]], $MachinePrecision]
↓
code[a_, b_] := N[Exp[N[(N[Log[a], $MachinePrecision] + N[Log[b], $MachinePrecision]), $MachinePrecision]], $MachinePrecision]

e^{\log a + \log b}
↓
e^{\log a + \log b}

Error?

Try it out?

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.7
Target0
Herbie5.7
\[a \cdot b \]

Derivation?

  1. Initial program 5.7

    \[e^{\log a + \log b} \]

  2. Final simplification5.7

    \[\leadsto e^{\log a + \log b} \]

Reproduce?

herbie shell --seed 2023098 
(FPCore (a b)
  :name "Exp of sum of logs"
  :precision binary64

  :herbie-target
  (* a b)

  (exp (+ (log a) (log b))))