Average Error: 0.0 → 0.0
Time: 1.9s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)
double f(double d1, double d2, double d3) {
        double r304074 = d1;
        double r304075 = d2;
        double r304076 = r304074 * r304075;
        double r304077 = d3;
        double r304078 = 5.0;
        double r304079 = r304077 + r304078;
        double r304080 = r304079 * r304074;
        double r304081 = r304076 + r304080;
        double r304082 = 32.0;
        double r304083 = r304074 * r304082;
        double r304084 = r304081 + r304083;
        return r304084;
}
↓
double f(double d1, double d2, double d3) {
        double r304085 = d1;
        double r304086 = d2;
        double r304087 = d3;
        double r304088 = 5.0;
        double r304089 = r304087 + r304088;
        double r304090 = 32.0;
        double r304091 = r304089 + r304090;
        double r304092 = r304086 + r304091;
        double r304093 = r304085 * r304092;
        return r304093;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)}\]

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020060 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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