Average Error: 0.0 → 0.0
Time: 5.5s
Precision: binary64
Cost: 13248
\[e^{\left(x + y \cdot \log y\right) - z} \]
↓
\[e^{\left(x + y \cdot \log y\right) - z} \]
(FPCore (x y z) :precision binary64 (exp (- (+ x (* y (log y))) z)))
↓
(FPCore (x y z) :precision binary64 (exp (- (+ x (* y (log y))) z)))
double code(double x, double y, double z) {
	return exp(((x + (y * log(y))) - z));
}
↓
double code(double x, double y, double z) {
	return exp(((x + (y * log(y))) - z));
}

real(8) function code(x, y, z)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    code = exp(((x + (y * log(y))) - z))
end function
↓
real(8) function code(x, y, z)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    code = exp(((x + (y * log(y))) - z))
end function

public static double code(double x, double y, double z) {
	return Math.exp(((x + (y * Math.log(y))) - z));
}
↓
public static double code(double x, double y, double z) {
	return Math.exp(((x + (y * Math.log(y))) - z));
}

def code(x, y, z):
	return math.exp(((x + (y * math.log(y))) - z))
↓
def code(x, y, z):
	return math.exp(((x + (y * math.log(y))) - z))

function code(x, y, z)
	return exp(Float64(Float64(x + Float64(y * log(y))) - z))
end
↓
function code(x, y, z)
	return exp(Float64(Float64(x + Float64(y * log(y))) - z))
end

function tmp = code(x, y, z)
	tmp = exp(((x + (y * log(y))) - z));
end
↓
function tmp = code(x, y, z)
	tmp = exp(((x + (y * log(y))) - z));
end

code[x_, y_, z_] := N[Exp[N[(N[(x + N[(y * N[Log[y], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - z), $MachinePrecision]], $MachinePrecision]
↓
code[x_, y_, z_] := N[Exp[N[(N[(x + N[(y * N[Log[y], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - z), $MachinePrecision]], $MachinePrecision]

e^{\left(x + y \cdot \log y\right) - z}
↓
e^{\left(x + y \cdot \log y\right) - z}

Error

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[e^{\left(x - z\right) + \log y \cdot y} \]

Derivation

  1. Initial program 0.0

    \[e^{\left(x + y \cdot \log y\right) - z} \]

  2. Final simplification0.0

    \[\leadsto e^{\left(x + y \cdot \log y\right) - z} \]

Alternatives

Alternative 1
Error1.1
Cost6660
\[\begin{array}{l} \mathbf{if}\;z \leq 6.4 \cdot 10^{-12}:\\ \;\;\;\;e^{x}\\ \mathbf{else}:\\ \;\;\;\;e^{-z}\\ \end{array} \]
Alternative 2
Error0.5
Cost6592
\[e^{x - z} \]
Alternative 3
Error19.2
Cost6464
\[e^{x} \]
Alternative 4
Error45.0
Cost192
\[1 - z \]

Error

Reproduce

herbie shell --seed 2022291 
(FPCore (x y z)
  :name "Statistics.Distribution.Poisson.Internal:probability from math-functions-0.1.5.2"
  :precision binary64

  :herbie-target
  (exp (+ (- x z) (* (log y) y)))

  (exp (- (+ x (* y (log y))) z)))