Average Error: 0.0 → 0.0
Time: 8.9s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(32 + d2\right) + \left(d3 + 5\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(32 + d2\right) + \left(d3 + 5\right)\right)
double f(double d1, double d2, double d3) {
        double r190250 = d1;
        double r190251 = d2;
        double r190252 = r190250 * r190251;
        double r190253 = d3;
        double r190254 = 5.0;
        double r190255 = r190253 + r190254;
        double r190256 = r190255 * r190250;
        double r190257 = r190252 + r190256;
        double r190258 = 32.0;
        double r190259 = r190250 * r190258;
        double r190260 = r190257 + r190259;
        return r190260;
}
↓
double f(double d1, double d2, double d3) {
        double r190261 = d1;
        double r190262 = 32.0;
        double r190263 = d2;
        double r190264 = r190262 + r190263;
        double r190265 = d3;
        double r190266 = 5.0;
        double r190267 = r190265 + r190266;
        double r190268 = r190264 + r190267;
        double r190269 = r190261 * r190268;
        return r190269;
}

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. Using strategy rm

  4. Applied associate-+r+0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019325 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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