Average Error: 0.1 → 0.1
Time: 14.2s
Precision: 64
\[\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3\]
↓
\[\left(d2 + \left(d3 + 3\right)\right) \cdot d1\]
\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3
↓
\left(d2 + \left(d3 + 3\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r3464573 = d1;
        double r3464574 = 3.0;
        double r3464575 = r3464573 * r3464574;
        double r3464576 = d2;
        double r3464577 = r3464573 * r3464576;
        double r3464578 = r3464575 + r3464577;
        double r3464579 = d3;
        double r3464580 = r3464573 * r3464579;
        double r3464581 = r3464578 + r3464580;
        return r3464581;
}
↓
double f(double d1, double d2, double d3) {
        double r3464582 = d2;
        double r3464583 = d3;
        double r3464584 = 3.0;
        double r3464585 = r3464583 + r3464584;
        double r3464586 = r3464582 + r3464585;
        double r3464587 = d1;
        double r3464588 = r3464586 * r3464587;
        return r3464588;
}

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

Original0.1
Target0.1
Herbie0.1
\[d1 \cdot \left(\left(3 + d2\right) + d3\right)\]

Derivation

  1. Initial program 0.1

    \[\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3\]

  2. Simplified0.1

    \[\leadsto \color{blue}{d1 \cdot \left(d2 + \left(3 + d3\right)\right)}\]

  3. Final simplification0.1

    \[\leadsto \left(d2 + \left(d3 + 3\right)\right) \cdot d1\]

Reproduce

herbie shell --seed 2019138 
(FPCore (d1 d2 d3)
  :name "FastMath test3"

  :herbie-target
  (* d1 (+ (+ 3 d2) d3))

  (+ (+ (* d1 3) (* d1 d2)) (* d1 d3)))