Average Error: 0.0 → 0.0
Time: 6.8s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)
double f(double d1, double d2, double d3) {
        double r172006 = d1;
        double r172007 = d2;
        double r172008 = r172006 * r172007;
        double r172009 = d3;
        double r172010 = 5.0;
        double r172011 = r172009 + r172010;
        double r172012 = r172011 * r172006;
        double r172013 = r172008 + r172012;
        double r172014 = 32.0;
        double r172015 = r172006 * r172014;
        double r172016 = r172013 + r172015;
        return r172016;
}
↓
double f(double d1, double d2, double d3) {
        double r172017 = d1;
        double r172018 = 32.0;
        double r172019 = d2;
        double r172020 = d3;
        double r172021 = 5.0;
        double r172022 = r172020 + r172021;
        double r172023 = r172019 + r172022;
        double r172024 = r172018 + r172023;
        double r172025 = r172017 * r172024;
        return r172025;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019208 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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