Average Error: 0.0 → 0.0
Time: 3.8s
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 r200754 = d1;
        double r200755 = d2;
        double r200756 = r200754 * r200755;
        double r200757 = d3;
        double r200758 = 5.0;
        double r200759 = r200757 + r200758;
        double r200760 = r200759 * r200754;
        double r200761 = r200756 + r200760;
        double r200762 = 32.0;
        double r200763 = r200754 * r200762;
        double r200764 = r200761 + r200763;
        return r200764;
}
↓
double f(double d1, double d2, double d3) {
        double r200765 = d1;
        double r200766 = d2;
        double r200767 = d3;
        double r200768 = 5.0;
        double r200769 = r200767 + r200768;
        double r200770 = 32.0;
        double r200771 = r200769 + r200770;
        double r200772 = r200766 + r200771;
        double r200773 = r200765 * r200772;
        return r200773;
}

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 2020046 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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