Average Error: 0.0 → 0.0
Time: 12.9s
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 r165798 = d1;
        double r165799 = d2;
        double r165800 = r165798 * r165799;
        double r165801 = d3;
        double r165802 = 5.0;
        double r165803 = r165801 + r165802;
        double r165804 = r165803 * r165798;
        double r165805 = r165800 + r165804;
        double r165806 = 32.0;
        double r165807 = r165798 * r165806;
        double r165808 = r165805 + r165807;
        return r165808;
}
↓
double f(double d1, double d2, double d3) {
        double r165809 = d1;
        double r165810 = d2;
        double r165811 = d3;
        double r165812 = 5.0;
        double r165813 = r165811 + r165812;
        double r165814 = 32.0;
        double r165815 = r165813 + r165814;
        double r165816 = r165810 + r165815;
        double r165817 = r165809 * r165816;
        return r165817;
}

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 2019294 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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