Average Error: 0.0 → 0.0
Time: 1.9s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)
double f(double d1, double d2, double d3) {
        double r238987 = d1;
        double r238988 = d2;
        double r238989 = r238987 * r238988;
        double r238990 = d3;
        double r238991 = 5.0;
        double r238992 = r238990 + r238991;
        double r238993 = r238992 * r238987;
        double r238994 = r238989 + r238993;
        double r238995 = 32.0;
        double r238996 = r238987 * r238995;
        double r238997 = r238994 + r238996;
        return r238997;
}
↓
double f(double d1, double d2, double d3) {
        double r238998 = d1;
        double r238999 = d2;
        double r239000 = d3;
        double r239001 = 5.0;
        double r239002 = r239000 + r239001;
        double r239003 = 32.0;
        double r239004 = r239002 + r239003;
        double r239005 = r238999 + r239004;
        double r239006 = r238998 * r239005;
        return r239006;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020062 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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