Average Error: 0.0 → 0.0
Time: 8.7s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)
double f(double d1, double d2, double d3) {
        double r170058 = d1;
        double r170059 = d2;
        double r170060 = r170058 * r170059;
        double r170061 = d3;
        double r170062 = 5.0;
        double r170063 = r170061 + r170062;
        double r170064 = r170063 * r170058;
        double r170065 = r170060 + r170064;
        double r170066 = 32.0;
        double r170067 = r170058 * r170066;
        double r170068 = r170065 + r170067;
        return r170068;
}
↓
double f(double d1, double d2, double d3) {
        double r170069 = d1;
        double r170070 = d3;
        double r170071 = 5.0;
        double r170072 = r170070 + r170071;
        double r170073 = 32.0;
        double r170074 = r170072 + r170073;
        double r170075 = d2;
        double r170076 = r170074 + r170075;
        double r170077 = r170069 * r170076;
        return r170077;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019347 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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