Average Error: 0.0 → 0.0
Time: 10.2s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(d3 + 5\right) + 32\right) \cdot d1 + d2 \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(d3 + 5\right) + 32\right) \cdot d1 + d2 \cdot d1
double f(double d1, double d2, double d3) {
        double r9901783 = d1;
        double r9901784 = d2;
        double r9901785 = r9901783 * r9901784;
        double r9901786 = d3;
        double r9901787 = 5.0;
        double r9901788 = r9901786 + r9901787;
        double r9901789 = r9901788 * r9901783;
        double r9901790 = r9901785 + r9901789;
        double r9901791 = 32.0;
        double r9901792 = r9901783 * r9901791;
        double r9901793 = r9901790 + r9901792;
        return r9901793;
}
↓
double f(double d1, double d2, double d3) {
        double r9901794 = d3;
        double r9901795 = 5.0;
        double r9901796 = r9901794 + r9901795;
        double r9901797 = 32.0;
        double r9901798 = r9901796 + r9901797;
        double r9901799 = d1;
        double r9901800 = r9901798 * r9901799;
        double r9901801 = d2;
        double r9901802 = r9901801 * r9901799;
        double r9901803 = r9901800 + r9901802;
        return r9901803;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)}\]
  3. Using strategy rm

  4. Applied distribute-rgt-in0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37.0 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0)))