?

Average Error: 0.0 → 0.0
Time: 3.5s
Precision: binary64
Cost: 6848

?

\[-1000000000 \leq deltaP \land deltaP \leq 1000000000\]
\[\frac{deltaP}{\sqrt{1 - deltaP \cdot deltaP}} \]
↓
\[\frac{deltaP}{\sqrt{1 - deltaP \cdot deltaP}} \]
(FPCore (deltaP)
 :precision binary64
 (/ deltaP (sqrt (- 1.0 (* deltaP deltaP)))))
↓
(FPCore (deltaP)
 :precision binary64
 (/ deltaP (sqrt (- 1.0 (* deltaP deltaP)))))
double code(double deltaP) {
	return deltaP / sqrt((1.0 - (deltaP * deltaP)));
}
↓
double code(double deltaP) {
	return deltaP / sqrt((1.0 - (deltaP * deltaP)));
}

real(8) function code(deltap)
    real(8), intent (in) :: deltap
    code = deltap / sqrt((1.0d0 - (deltap * deltap)))
end function
↓
real(8) function code(deltap)
    real(8), intent (in) :: deltap
    code = deltap / sqrt((1.0d0 - (deltap * deltap)))
end function

public static double code(double deltaP) {
	return deltaP / Math.sqrt((1.0 - (deltaP * deltaP)));
}
↓
public static double code(double deltaP) {
	return deltaP / Math.sqrt((1.0 - (deltaP * deltaP)));
}

def code(deltaP):
	return deltaP / math.sqrt((1.0 - (deltaP * deltaP)))
↓
def code(deltaP):
	return deltaP / math.sqrt((1.0 - (deltaP * deltaP)))

function code(deltaP)
	return Float64(deltaP / sqrt(Float64(1.0 - Float64(deltaP * deltaP))))
end
↓
function code(deltaP)
	return Float64(deltaP / sqrt(Float64(1.0 - Float64(deltaP * deltaP))))
end

function tmp = code(deltaP)
	tmp = deltaP / sqrt((1.0 - (deltaP * deltaP)));
end
↓
function tmp = code(deltaP)
	tmp = deltaP / sqrt((1.0 - (deltaP * deltaP)));
end

code[deltaP_] := N[(deltaP / N[Sqrt[N[(1.0 - N[(deltaP * deltaP), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]
↓
code[deltaP_] := N[(deltaP / N[Sqrt[N[(1.0 - N[(deltaP * deltaP), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]

\frac{deltaP}{\sqrt{1 - deltaP \cdot deltaP}}
↓
\frac{deltaP}{\sqrt{1 - deltaP \cdot deltaP}}

Error?

Try it out?

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation?

  1. Initial program 0.0

    \[\frac{deltaP}{\sqrt{1 - deltaP \cdot deltaP}} \]

  2. Final simplification0.0

    \[\leadsto \frac{deltaP}{\sqrt{1 - deltaP \cdot deltaP}} \]

Alternatives

Alternative 1
Error0.3
Cost576
\[\frac{deltaP}{1 + \left(deltaP \cdot deltaP\right) \cdot -0.5} \]
Alternative 2
Error0.7
Cost64
\[deltaP \]

Error

Reproduce?

herbie shell --seed 1 
(FPCore (deltaP)
  :name "deltaP / sqrt(1. - deltaP * deltaP)"
  :precision binary64
  :pre (and (<= -1000000000.0 deltaP) (<= deltaP 1000000000.0))
  (/ deltaP (sqrt (- 1.0 (* deltaP deltaP)))))