Average Error: 0.0 → 0.0
Time: 9.6s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(37 + d3\right) + d2\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(37 + d3\right) + d2\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r12211650 = d1;
        double r12211651 = d2;
        double r12211652 = r12211650 * r12211651;
        double r12211653 = d3;
        double r12211654 = 5.0;
        double r12211655 = r12211653 + r12211654;
        double r12211656 = r12211655 * r12211650;
        double r12211657 = r12211652 + r12211656;
        double r12211658 = 32.0;
        double r12211659 = r12211650 * r12211658;
        double r12211660 = r12211657 + r12211659;
        return r12211660;
}
↓
double f(double d1, double d2, double d3) {
        double r12211661 = 37.0;
        double r12211662 = d3;
        double r12211663 = r12211661 + r12211662;
        double r12211664 = d2;
        double r12211665 = r12211663 + r12211664;
        double r12211666 = d1;
        double r12211667 = r12211665 * r12211666;
        return r12211667;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019168 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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