Average Error: 0.0 → 0.0
Time: 13.2s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)
double f(double d1, double d2, double d3) {
        double r180284 = d1;
        double r180285 = d2;
        double r180286 = r180284 * r180285;
        double r180287 = d3;
        double r180288 = 5.0;
        double r180289 = r180287 + r180288;
        double r180290 = r180289 * r180284;
        double r180291 = r180286 + r180290;
        double r180292 = 32.0;
        double r180293 = r180284 * r180292;
        double r180294 = r180291 + r180293;
        return r180294;
}
↓
double f(double d1, double d2, double d3) {
        double r180295 = d1;
        double r180296 = 32.0;
        double r180297 = d2;
        double r180298 = d3;
        double r180299 = 5.0;
        double r180300 = r180298 + r180299;
        double r180301 = r180297 + r180300;
        double r180302 = r180296 + r180301;
        double r180303 = r180295 * r180302;
        return r180303;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019212 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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