Average Error: 0.0 → 0.0
Time: 7.8s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(d3 + 32\right) + \left(5 + d2\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(d3 + 32\right) + \left(5 + d2\right)\right)
double f(double d1, double d2, double d3) {
        double r148005 = d1;
        double r148006 = d2;
        double r148007 = r148005 * r148006;
        double r148008 = d3;
        double r148009 = 5.0;
        double r148010 = r148008 + r148009;
        double r148011 = r148010 * r148005;
        double r148012 = r148007 + r148011;
        double r148013 = 32.0;
        double r148014 = r148005 * r148013;
        double r148015 = r148012 + r148014;
        return r148015;
}
↓
double f(double d1, double d2, double d3) {
        double r148016 = d1;
        double r148017 = d3;
        double r148018 = 32.0;
        double r148019 = r148017 + r148018;
        double r148020 = 5.0;
        double r148021 = d2;
        double r148022 = r148020 + r148021;
        double r148023 = r148019 + r148022;
        double r148024 = r148016 * r148023;
        return r148024;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019194 +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)))