Average Error: 0.0 → 0.0
Time: 36.1s
Precision: 64
\[\left(a + b\right) \cdot \left(a + b\right)\]
↓
\[\left(b + a\right) \cdot \left(b + a\right)\]
double f(double a, double b) {
        double r27801408 = a;
        double r27801409 = b;
        double r27801410 = r27801408 + r27801409;
        double r27801411 = r27801410 * r27801410;
        return r27801411;
}
↓
double f(double a, double b) {
        double r27801412 = b;
        double r27801413 = a;
        double r27801414 = r27801412 + r27801413;
        double r27801415 = r27801414 * r27801414;
        return r27801415;
}


\left(a + b\right) \cdot \left(a + b\right)
↓
\left(b + a\right) \cdot \left(b + a\right)

Error

Bits error versus a

Bits error versus b

Target

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

Derivation

  1. Initial program 0.0

    \[\left(a + b\right) \cdot \left(a + b\right)\]

  2. Final simplification0.0

    \[\leadsto \left(b + a\right) \cdot \left(b + a\right)\]

Reproduce

herbie shell --seed 2019101 +o rules:numerics
(FPCore (a b)
  :name "Expression 4, p15"
  :pre (and (<= 5 a 10) (<= 0 b 0.001))

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

  (* (+ a b) (+ a b)))