Average Error: 0.0 → 0.0
Time: 2.8s
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 r317910 = d1;
        double r317911 = d2;
        double r317912 = r317910 * r317911;
        double r317913 = d3;
        double r317914 = 5.0;
        double r317915 = r317913 + r317914;
        double r317916 = r317915 * r317910;
        double r317917 = r317912 + r317916;
        double r317918 = 32.0;
        double r317919 = r317910 * r317918;
        double r317920 = r317917 + r317919;
        return r317920;
}
↓
double f(double d1, double d2, double d3) {
        double r317921 = d1;
        double r317922 = d2;
        double r317923 = d3;
        double r317924 = 5.0;
        double r317925 = r317923 + r317924;
        double r317926 = 32.0;
        double r317927 = r317925 + r317926;
        double r317928 = r317922 + r317927;
        double r317929 = r317921 * r317928;
        return r317929;
}

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 2019318 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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