Average Error: 0.0 → 0.0
Time: 2.1s
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 r1442106 = a;
        double r1442107 = r1442106 * r1442106;
        double r1442108 = b;
        double r1442109 = r1442108 * r1442108;
        double r1442110 = r1442107 - r1442109;
        return r1442110;
}
↓
double f(double a, double b) {
        double r1442111 = a;
        double r1442112 = r1442111 * r1442111;
        double r1442113 = b;
        double r1442114 = r1442113 * r1442113;
        double r1442115 = r1442112 - r1442114;
        return r1442115;
}

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 2019128 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"

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

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