Average Error: 0.0 → 0.0
Time: 8.5s
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 r161254 = d1;
        double r161255 = d2;
        double r161256 = r161254 * r161255;
        double r161257 = d3;
        double r161258 = 5.0;
        double r161259 = r161257 + r161258;
        double r161260 = r161259 * r161254;
        double r161261 = r161256 + r161260;
        double r161262 = 32.0;
        double r161263 = r161254 * r161262;
        double r161264 = r161261 + r161263;
        return r161264;
}
↓
double f(double d1, double d2, double d3) {
        double r161265 = d1;
        double r161266 = d3;
        double r161267 = 5.0;
        double r161268 = r161266 + r161267;
        double r161269 = 32.0;
        double r161270 = r161268 + r161269;
        double r161271 = d2;
        double r161272 = r161270 + r161271;
        double r161273 = r161265 * r161272;
        return r161273;
}

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 2019303 +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)))