Average Error: 0.0 → 0.0
Time: 8.2s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(d2 + 37\right) + d3\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(d2 + 37\right) + d3\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r9224189 = d1;
        double r9224190 = d2;
        double r9224191 = r9224189 * r9224190;
        double r9224192 = d3;
        double r9224193 = 5.0;
        double r9224194 = r9224192 + r9224193;
        double r9224195 = r9224194 * r9224189;
        double r9224196 = r9224191 + r9224195;
        double r9224197 = 32.0;
        double r9224198 = r9224189 * r9224197;
        double r9224199 = r9224196 + r9224198;
        return r9224199;
}
↓
double f(double d1, double d2, double d3) {
        double r9224200 = d2;
        double r9224201 = 37.0;
        double r9224202 = r9224200 + r9224201;
        double r9224203 = d3;
        double r9224204 = r9224202 + r9224203;
        double r9224205 = d1;
        double r9224206 = r9224204 * r9224205;
        return r9224206;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019141 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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