Average Error: 23.7 → 23.7
Time: 1.0s
Precision: binary64
\[\frac{\left(p - \ell \cdot trsi0\right) \cdot n}{p \cdot \left(\left(n + \ell \cdot trsi0\right) - p\right)}\]
↓
\[\frac{\left(p - \ell \cdot trsi0\right) \cdot n}{p \cdot \left(\left(n + \ell \cdot trsi0\right) - p\right)}\]
\frac{\left(p - \ell \cdot trsi0\right) \cdot n}{p \cdot \left(\left(n + \ell \cdot trsi0\right) - p\right)}
↓
\frac{\left(p - \ell \cdot trsi0\right) \cdot n}{p \cdot \left(\left(n + \ell \cdot trsi0\right) - p\right)}
double code(double p, double l, double trsi0, double n) {
	return ((double) (((double) (((double) (p - ((double) (l * trsi0)))) * n)) / ((double) (p * ((double) (((double) (n + ((double) (l * trsi0)))) - p))))));
}
↓
double code(double p, double l, double trsi0, double n) {
	return ((double) (((double) (((double) (p - ((double) (l * trsi0)))) * n)) / ((double) (p * ((double) (((double) (n + ((double) (l * trsi0)))) - p))))));
}

Error

Bits error versus p

Bits error versus l

Bits error versus trsi0

Bits error versus n

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 23.7

    \[\frac{\left(p - \ell \cdot trsi0\right) \cdot n}{p \cdot \left(\left(n + \ell \cdot trsi0\right) - p\right)}\]

  2. Final simplification23.7

    \[\leadsto \frac{\left(p - \ell \cdot trsi0\right) \cdot n}{p \cdot \left(\left(n + \ell \cdot trsi0\right) - p\right)}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (p l trsi0 n)
  :name "(/ (* (- p (* l trsi0)) n) (* p (- (+ n (* l trsi0)) p)))"
  :precision binary64
  (/ (* (- p (* l trsi0)) n) (* p (- (+ n (* l trsi0)) p))))