Average Error: 0.0 → 0.0
Time: 3.4s
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 r434591 = d1;
        double r434592 = d2;
        double r434593 = r434591 * r434592;
        double r434594 = d3;
        double r434595 = 5.0;
        double r434596 = r434594 + r434595;
        double r434597 = r434596 * r434591;
        double r434598 = r434593 + r434597;
        double r434599 = 32.0;
        double r434600 = r434591 * r434599;
        double r434601 = r434598 + r434600;
        return r434601;
}
↓
double f(double d1, double d2, double d3) {
        double r434602 = d1;
        double r434603 = d2;
        double r434604 = d3;
        double r434605 = 5.0;
        double r434606 = r434604 + r434605;
        double r434607 = 32.0;
        double r434608 = r434606 + r434607;
        double r434609 = r434603 + r434608;
        double r434610 = r434602 * r434609;
        return r434610;
}

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 2020002 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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