Average Error: 0.0 → 0.0
Time: 13.9s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)
double f(double d1, double d2, double d3) {
        double r181092 = d1;
        double r181093 = d2;
        double r181094 = r181092 * r181093;
        double r181095 = d3;
        double r181096 = 5.0;
        double r181097 = r181095 + r181096;
        double r181098 = r181097 * r181092;
        double r181099 = r181094 + r181098;
        double r181100 = 32.0;
        double r181101 = r181092 * r181100;
        double r181102 = r181099 + r181101;
        return r181102;
}
↓
double f(double d1, double d2, double d3) {
        double r181103 = d1;
        double r181104 = d3;
        double r181105 = 5.0;
        double r181106 = r181104 + r181105;
        double r181107 = 32.0;
        double r181108 = r181106 + r181107;
        double r181109 = d2;
        double r181110 = r181108 + r181109;
        double r181111 = r181103 * r181110;
        return r181111;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)}\]

  3. Final simplification0.0

    \[\leadsto d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)\]

Reproduce

herbie shell --seed 2019306 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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