Average Error: 0.1 → 0.1
Time: 2.5s
Precision: binary64
\[\left(9 \cdot {x}^{4} - {y}^{4}\right) + 2 \cdot {y}^{2}\]
↓
\[\left(9 \cdot {x}^{4} - {y}^{4}\right) + 2 \cdot {y}^{2}\]
\left(9 \cdot {x}^{4} - {y}^{4}\right) + 2 \cdot {y}^{2}
↓
\left(9 \cdot {x}^{4} - {y}^{4}\right) + 2 \cdot {y}^{2}
double code(double x, double y) {
	return ((double) (((double) (((double) (9.0 * ((double) pow(x, 4.0)))) - ((double) pow(y, 4.0)))) + ((double) (2.0 * ((double) pow(y, 2.0))))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (((double) (9.0 * ((double) pow(x, 4.0)))) - ((double) pow(y, 4.0)))) + ((double) (2.0 * ((double) pow(y, 2.0))))));
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(9 \cdot {x}^{4} - {y}^{4}\right) + 2 \cdot {y}^{2}\]

  2. Final simplification0.1

    \[\leadsto \left(9 \cdot {x}^{4} - {y}^{4}\right) + 2 \cdot {y}^{2}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (pow y 2)))"
  :precision binary64
  (+ (- (* 9.0 (pow x 4.0)) (pow y 4.0)) (* 2.0 (pow y 2.0))))