Average Error: 0.1 → 0.1
Time: 19.3s
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 r12797109 = d1;
        double r12797110 = 3.0;
        double r12797111 = r12797109 * r12797110;
        double r12797112 = d2;
        double r12797113 = r12797109 * r12797112;
        double r12797114 = r12797111 + r12797113;
        double r12797115 = d3;
        double r12797116 = r12797109 * r12797115;
        double r12797117 = r12797114 + r12797116;
        return r12797117;
}
↓
double f(double d1, double d2, double d3) {
        double r12797118 = d2;
        double r12797119 = d3;
        double r12797120 = 3.0;
        double r12797121 = r12797119 + r12797120;
        double r12797122 = r12797118 + r12797121;
        double r12797123 = d1;
        double r12797124 = r12797122 * r12797123;
        return r12797124;
}

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 2019170 
(FPCore (d1 d2 d3)
  :name "FastMath test3"

  :herbie-target
  (* d1 (+ (+ 3.0 d2) d3))

  (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))