Average Error: 0.0 → 0.0
Time: 14.4s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(d3 + \left(d2 + 32\right)\right) + 5\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(d3 + \left(d2 + 32\right)\right) + 5\right)
double f(double d1, double d2, double d3) {
        double r8875209 = d1;
        double r8875210 = d2;
        double r8875211 = r8875209 * r8875210;
        double r8875212 = d3;
        double r8875213 = 5.0;
        double r8875214 = r8875212 + r8875213;
        double r8875215 = r8875214 * r8875209;
        double r8875216 = r8875211 + r8875215;
        double r8875217 = 32.0;
        double r8875218 = r8875209 * r8875217;
        double r8875219 = r8875216 + r8875218;
        return r8875219;
}
↓
double f(double d1, double d2, double d3) {
        double r8875220 = d1;
        double r8875221 = d3;
        double r8875222 = d2;
        double r8875223 = 32.0;
        double r8875224 = r8875222 + r8875223;
        double r8875225 = r8875221 + r8875224;
        double r8875226 = 5.0;
        double r8875227 = r8875225 + r8875226;
        double r8875228 = r8875220 * r8875227;
        return r8875228;
}

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. Using strategy rm

  4. Applied *-un-lft-identity0.0

    \[\leadsto \left(d3 + \left(32 + \left(d2 + 5\right)\right)\right) \cdot \color{blue}{\left(1 \cdot d1\right)}\]

  5. Applied associate-*r*0.0

    \[\leadsto \color{blue}{\left(\left(d3 + \left(32 + \left(d2 + 5\right)\right)\right) \cdot 1\right) \cdot d1}\]

  6. Simplified0.0

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2019172 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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