Average Error: 0.0 → 0.0
Time: 12.0s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(32 + \left(5 + d2\right)\right) + d3\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(32 + \left(5 + d2\right)\right) + d3\right)
double f(double d1, double d2, double d3) {
        double r9969313 = d1;
        double r9969314 = d2;
        double r9969315 = r9969313 * r9969314;
        double r9969316 = d3;
        double r9969317 = 5.0;
        double r9969318 = r9969316 + r9969317;
        double r9969319 = r9969318 * r9969313;
        double r9969320 = r9969315 + r9969319;
        double r9969321 = 32.0;
        double r9969322 = r9969313 * r9969321;
        double r9969323 = r9969320 + r9969322;
        return r9969323;
}
↓
double f(double d1, double d2, double d3) {
        double r9969324 = d1;
        double r9969325 = 32.0;
        double r9969326 = 5.0;
        double r9969327 = d2;
        double r9969328 = r9969326 + r9969327;
        double r9969329 = r9969325 + r9969328;
        double r9969330 = d3;
        double r9969331 = r9969329 + r9969330;
        double r9969332 = r9969324 * r9969331;
        return r9969332;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019171 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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