Average Error: 0.0 → 0.0
Time: 5.4s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(37 + d3\right) + d2\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(37 + d3\right) + d2\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r4131133 = d1;
        double r4131134 = d2;
        double r4131135 = r4131133 * r4131134;
        double r4131136 = d3;
        double r4131137 = 5.0;
        double r4131138 = r4131136 + r4131137;
        double r4131139 = r4131138 * r4131133;
        double r4131140 = r4131135 + r4131139;
        double r4131141 = 32.0;
        double r4131142 = r4131133 * r4131141;
        double r4131143 = r4131140 + r4131142;
        return r4131143;
}
↓
double f(double d1, double d2, double d3) {
        double r4131144 = 37.0;
        double r4131145 = d3;
        double r4131146 = r4131144 + r4131145;
        double r4131147 = d2;
        double r4131148 = r4131146 + r4131147;
        double r4131149 = d1;
        double r4131150 = r4131148 * r4131149;
        return r4131150;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019156 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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