Average Error: 0.0 → 0.0
Time: 46.0s
Precision: 64
Internal Precision: 320
\[\sqrt{0.5 \cdot \left(1 + \frac{1}{\sqrt{1 + \frac{p \cdot x}{x - y} \cdot \left(x - y\right)}}\right)}\]
\[\sqrt{0.5 \cdot \left(1 + \frac{1}{\sqrt{1 + \frac{p \cdot x}{x - y} \cdot \left(x - y\right)}}\right)}\]

Error

Bits error versus p

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{0.5 \cdot \left(1 + \frac{1}{\sqrt{1 + \frac{p \cdot x}{x - y} \cdot \left(x - y\right)}}\right)}\]

Runtime

Time bar (total: 46.0s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (p x y)
  :name "sqrt(.5*(1 + 1/sqrt(1+p*x/(x-y)*(x-y))))"
  (sqrt (* 0.5 (+ 1 (/ 1 (sqrt (+ 1 (* (/ (* p x) (- x y)) (- x y)))))))))