Average Error: 0.0 → 0.0
Time: 1.8s
Precision: binary64
\[\left(\left(z1 + \left(a - b\right) \cdot \left(a - b\right)\right) + z2\right) - q\]
↓
\[\left(\left(z1 + \left(a - b\right) \cdot \left(a - b\right)\right) + z2\right) - q\]
\left(\left(z1 + \left(a - b\right) \cdot \left(a - b\right)\right) + z2\right) - q
↓
\left(\left(z1 + \left(a - b\right) \cdot \left(a - b\right)\right) + z2\right) - q
double code(double z1, double a, double b, double z2, double q) {
	return ((double) (((double) (((double) (z1 + ((double) (((double) (a - b)) * ((double) (a - b)))))) + z2)) - q));
}
↓
double code(double z1, double a, double b, double z2, double q) {
	return ((double) (((double) (((double) (z1 + ((double) (((double) (a - b)) * ((double) (a - b)))))) + z2)) - q));
}

Error

Bits error versus z1

Bits error versus a

Bits error versus b

Bits error versus z2

Bits error versus q

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(z1 + \left(a - b\right) \cdot \left(a - b\right)\right) + z2\right) - q\]

  2. Final simplification0.0

    \[\leadsto \left(\left(z1 + \left(a - b\right) \cdot \left(a - b\right)\right) + z2\right) - q\]

Reproduce

herbie shell --seed 2020152 
(FPCore (z1 a b z2 q)
  :name "(- (+ (+ z1 (* (- a b) (- a b))) z2) q)"
  :precision binary64
  (- (+ (+ z1 (* (- a b) (- a b))) z2) q))