Average Error: 0.0 → 0.0
Time: 10.1s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d2 + \left(d3 + 37\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d2 + \left(d3 + 37\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r5721004 = d1;
        double r5721005 = d2;
        double r5721006 = r5721004 * r5721005;
        double r5721007 = d3;
        double r5721008 = 5.0;
        double r5721009 = r5721007 + r5721008;
        double r5721010 = r5721009 * r5721004;
        double r5721011 = r5721006 + r5721010;
        double r5721012 = 32.0;
        double r5721013 = r5721004 * r5721012;
        double r5721014 = r5721011 + r5721013;
        return r5721014;
}
↓
double f(double d1, double d2, double d3) {
        double r5721015 = d2;
        double r5721016 = d3;
        double r5721017 = 37.0;
        double r5721018 = r5721016 + r5721017;
        double r5721019 = r5721015 + r5721018;
        double r5721020 = d1;
        double r5721021 = r5721019 * r5721020;
        return r5721021;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019153 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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