Average Error: 0.0 → 0.0
Time: 7.6s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)
double f(double d1, double d2, double d3) {
        double r210958 = d1;
        double r210959 = d2;
        double r210960 = r210958 * r210959;
        double r210961 = d3;
        double r210962 = 5.0;
        double r210963 = r210961 + r210962;
        double r210964 = r210963 * r210958;
        double r210965 = r210960 + r210964;
        double r210966 = 32.0;
        double r210967 = r210958 * r210966;
        double r210968 = r210965 + r210967;
        return r210968;
}
↓
double f(double d1, double d2, double d3) {
        double r210969 = d1;
        double r210970 = 32.0;
        double r210971 = d2;
        double r210972 = d3;
        double r210973 = 5.0;
        double r210974 = r210972 + r210973;
        double r210975 = r210971 + r210974;
        double r210976 = r210970 + r210975;
        double r210977 = r210969 * r210976;
        return r210977;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020047 +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)))