Average Error: 0.0 → 0.0
Time: 1.6s
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 r176568 = d1;
        double r176569 = d2;
        double r176570 = r176568 * r176569;
        double r176571 = d3;
        double r176572 = 5.0;
        double r176573 = r176571 + r176572;
        double r176574 = r176573 * r176568;
        double r176575 = r176570 + r176574;
        double r176576 = 32.0;
        double r176577 = r176568 * r176576;
        double r176578 = r176575 + r176577;
        return r176578;
}
↓
double f(double d1, double d2, double d3) {
        double r176579 = d1;
        double r176580 = d2;
        double r176581 = d3;
        double r176582 = 5.0;
        double r176583 = r176581 + r176582;
        double r176584 = 32.0;
        double r176585 = r176583 + r176584;
        double r176586 = r176580 + r176585;
        double r176587 = r176579 * r176586;
        return r176587;
}

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 2020100 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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