Average Error: 0.0 → 0.0
Time: 8.0s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d2 + \left(37 + d3\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d2 + \left(37 + d3\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r37683063 = d1;
        double r37683064 = d2;
        double r37683065 = r37683063 * r37683064;
        double r37683066 = d3;
        double r37683067 = 5.0;
        double r37683068 = r37683066 + r37683067;
        double r37683069 = r37683068 * r37683063;
        double r37683070 = r37683065 + r37683069;
        double r37683071 = 32.0;
        double r37683072 = r37683063 * r37683071;
        double r37683073 = r37683070 + r37683072;
        return r37683073;
}
↓
double f(double d1, double d2, double d3) {
        double r37683074 = d2;
        double r37683075 = 37.0;
        double r37683076 = d3;
        double r37683077 = r37683075 + r37683076;
        double r37683078 = r37683074 + r37683077;
        double r37683079 = d1;
        double r37683080 = r37683078 * r37683079;
        return r37683080;
}

Error

Bits error versus d1

Bits error versus d2

Bits error versus d3

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[d1 \cdot \left(\left(37 + d3\right) + d2\right)\]

Derivation

  1. Initial program 0.0

    \[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]

  2. Simplified0.0

    \[\leadsto \color{blue}{d1 \cdot \left(d2 + \left(d3 + 37\right)\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(d2 + \left(37 + d3\right)\right) \cdot d1\]

Reproduce

herbie shell --seed 2019107 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32)))