Average Error: 0.0 → 0.0
Time: 23.7s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d2 + \left(37 + d3\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d2 + \left(37 + d3\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r97483664 = d1;
        double r97483665 = d2;
        double r97483666 = r97483664 * r97483665;
        double r97483667 = d3;
        double r97483668 = 5.0;
        double r97483669 = r97483667 + r97483668;
        double r97483670 = r97483669 * r97483664;
        double r97483671 = r97483666 + r97483670;
        double r97483672 = 32.0;
        double r97483673 = r97483664 * r97483672;
        double r97483674 = r97483671 + r97483673;
        return r97483674;
}
↓
double f(double d1, double d2, double d3) {
        double r97483675 = d2;
        double r97483676 = 37.0;
        double r97483677 = d3;
        double r97483678 = r97483676 + r97483677;
        double r97483679 = r97483675 + r97483678;
        double r97483680 = d1;
        double r97483681 = r97483679 * r97483680;
        return r97483681;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019104 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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