Average Error: 0.0 → 0.0
Time: 9.7s
Precision: 64
\[a \cdot a - b \cdot b\]
↓
\[a \cdot a - b \cdot b\]
a \cdot a - b \cdot b
↓
a \cdot a - b \cdot b
double f(double a, double b) {
        double r5730998 = a;
        double r5730999 = r5730998 * r5730998;
        double r5731000 = b;
        double r5731001 = r5731000 * r5731000;
        double r5731002 = r5730999 - r5731001;
        return r5731002;
}
↓
double f(double a, double b) {
        double r5731003 = a;
        double r5731004 = r5731003 * r5731003;
        double r5731005 = b;
        double r5731006 = r5731005 * r5731005;
        double r5731007 = r5731004 - r5731006;
        return r5731007;
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[\left(a + b\right) \cdot \left(a - b\right)\]

Derivation

  1. Initial program 0.0

    \[a \cdot a - b \cdot b\]

  2. Final simplification0.0

    \[\leadsto a \cdot a - b \cdot b\]

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"

  :herbie-target
  (* (+ a b) (- a b))

  (- (* a a) (* b b)))