Average Error: 0.0 → 0.0
Time: 27.9s
Precision: 64
\[a \cdot \left(\left(b + c\right) + d\right)\]
↓
\[\left(\left(b + c\right) + d\right) \cdot a\]
double f(double a, double b, double c, double d) {
        double r11290376 = a;
        double r11290377 = b;
        double r11290378 = c;
        double r11290379 = r11290377 + r11290378;
        double r11290380 = d;
        double r11290381 = r11290379 + r11290380;
        double r11290382 = r11290376 * r11290381;
        return r11290382;
}
↓
double f(double a, double b, double c, double d) {
        double r11290383 = b;
        double r11290384 = c;
        double r11290385 = r11290383 + r11290384;
        double r11290386 = d;
        double r11290387 = r11290385 + r11290386;
        double r11290388 = a;
        double r11290389 = r11290387 * r11290388;
        return r11290389;
}


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

Error

Bits error versus a

Bits error versus b

Bits error versus c

Bits error versus d

Target

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

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019102 
(FPCore (a b c d)
  :name "Expression, p14"
  :pre (and (<= 56789 a 98765) (<= 0 b 1) (<= 0 c 0.0016773) (<= 0 d 0.0016773))

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

  (* a (+ (+ b c) d)))