Average Error: 0.0 → 0.0
Time: 5.7s
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 r399954 = d1;
        double r399955 = d2;
        double r399956 = r399954 * r399955;
        double r399957 = d3;
        double r399958 = 5.0;
        double r399959 = r399957 + r399958;
        double r399960 = r399959 * r399954;
        double r399961 = r399956 + r399960;
        double r399962 = 32.0;
        double r399963 = r399954 * r399962;
        double r399964 = r399961 + r399963;
        return r399964;
}
↓
double f(double d1, double d2, double d3) {
        double r399965 = d1;
        double r399966 = d2;
        double r399967 = d3;
        double r399968 = 5.0;
        double r399969 = r399967 + r399968;
        double r399970 = 32.0;
        double r399971 = r399969 + r399970;
        double r399972 = r399966 + r399971;
        double r399973 = r399965 * r399972;
        return r399973;
}

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 2019297 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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