Average Error: 0.0 → 0.0
Time: 10.4s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(32 + \left(5 + d2\right)\right) + d3\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(32 + \left(5 + d2\right)\right) + d3\right)
double f(double d1, double d2, double d3) {
        double r12086155 = d1;
        double r12086156 = d2;
        double r12086157 = r12086155 * r12086156;
        double r12086158 = d3;
        double r12086159 = 5.0;
        double r12086160 = r12086158 + r12086159;
        double r12086161 = r12086160 * r12086155;
        double r12086162 = r12086157 + r12086161;
        double r12086163 = 32.0;
        double r12086164 = r12086155 * r12086163;
        double r12086165 = r12086162 + r12086164;
        return r12086165;
}
↓
double f(double d1, double d2, double d3) {
        double r12086166 = d1;
        double r12086167 = 32.0;
        double r12086168 = 5.0;
        double r12086169 = d2;
        double r12086170 = r12086168 + r12086169;
        double r12086171 = r12086167 + r12086170;
        double r12086172 = d3;
        double r12086173 = r12086171 + r12086172;
        double r12086174 = r12086166 * r12086173;
        return r12086174;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019169 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37.0 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0)))