Average Error: 0.0 → 0.0
Time: 20.1s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d2 + \left(37 + d3\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d2 + \left(37 + d3\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r28498112 = d1;
        double r28498113 = d2;
        double r28498114 = r28498112 * r28498113;
        double r28498115 = d3;
        double r28498116 = 5.0;
        double r28498117 = r28498115 + r28498116;
        double r28498118 = r28498117 * r28498112;
        double r28498119 = r28498114 + r28498118;
        double r28498120 = 32.0;
        double r28498121 = r28498112 * r28498120;
        double r28498122 = r28498119 + r28498121;
        return r28498122;
}
↓
double f(double d1, double d2, double d3) {
        double r28498123 = d2;
        double r28498124 = 37.0;
        double r28498125 = d3;
        double r28498126 = r28498124 + r28498125;
        double r28498127 = r28498123 + r28498126;
        double r28498128 = d1;
        double r28498129 = r28498127 * r28498128;
        return r28498129;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(d2 + \left(d3 + 37\right)\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(d2 + \left(37 + d3\right)\right) \cdot d1\]

Reproduce

herbie shell --seed 2019121 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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