Average Error: 0.0 → 0.0
Time: 6.3s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(37 + \left(d3 + d2\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(37 + \left(d3 + d2\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r8185666 = d1;
        double r8185667 = d2;
        double r8185668 = r8185666 * r8185667;
        double r8185669 = d3;
        double r8185670 = 5.0;
        double r8185671 = r8185669 + r8185670;
        double r8185672 = r8185671 * r8185666;
        double r8185673 = r8185668 + r8185672;
        double r8185674 = 32.0;
        double r8185675 = r8185666 * r8185674;
        double r8185676 = r8185673 + r8185675;
        return r8185676;
}
↓
double f(double d1, double d2, double d3) {
        double r8185677 = 37.0;
        double r8185678 = d3;
        double r8185679 = d2;
        double r8185680 = r8185678 + r8185679;
        double r8185681 = r8185677 + r8185680;
        double r8185682 = d1;
        double r8185683 = r8185681 * r8185682;
        return r8185683;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(37 + \left(d2 + d3\right)\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(37 + \left(d3 + d2\right)\right) \cdot d1\]

Reproduce

herbie shell --seed 2019146 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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