Rectangular parallelepiped of dimension a×b×c

Average Error: 0 → 0

Time: 366.0ms

Precision: 64

Math

\[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]

↓

\[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]

C

double f() {
        double r56035 = 2.0;
        double r56036 = 1.0;
        double r56037 = 9.0;
        double r56038 = r56036 / r56037;
        double r56039 = r56036 * r56038;
        double r56040 = r56038 * r56038;
        double r56041 = r56039 + r56040;
        double r56042 = r56038 * r56036;
        double r56043 = r56041 + r56042;
        double r56044 = r56035 * r56043;
        return r56044;
}

↓

double f() {
        double r56045 = 2.0;
        double r56046 = 1.0;
        double r56047 = 9.0;
        double r56048 = r56046 / r56047;
        double r56049 = r56046 * r56048;
        double r56050 = r56048 * r56048;
        double r56051 = r56049 + r56050;
        double r56052 = r56048 * r56046;
        double r56053 = r56051 + r56052;
        double r56054 = r56045 * r56053;
        return r56054;
}

Target

Original	0
Target	0
Herbie	0

\[\left(\left(\frac{1}{9} \cdot 1\right) \cdot 2 + 2 \cdot \left(\frac{1}{9} \cdot \frac{1}{9}\right)\right) + 2 \cdot \left(1 \cdot \frac{1}{9}\right)\]

Derivation

1. Initial program 0

   \[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]

2. Final simplification 0

   \[\leadsto 2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]

Reproduce

herbie shell --seed 2020060 
(FPCore ()
  :name "Rectangular parallelepiped of dimension a×b×c"
  :precision binary64

  :herbie-target
  (+ (+ (* (* (/ 1 9) 1) 2) (* 2 (* (/ 1 9) (/ 1 9)))) (* 2 (* 1 (/ 1 9))))

  (* 2 (+ (+ (* 1 (/ 1 9)) (* (/ 1 9) (/ 1 9))) (* (/ 1 9) 1))))