Average Error: 0.0 → 0.0
Time: 11.2s
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 r477045 = d1;
        double r477046 = d2;
        double r477047 = r477045 * r477046;
        double r477048 = d3;
        double r477049 = 5.0;
        double r477050 = r477048 + r477049;
        double r477051 = r477050 * r477045;
        double r477052 = r477047 + r477051;
        double r477053 = 32.0;
        double r477054 = r477045 * r477053;
        double r477055 = r477052 + r477054;
        return r477055;
}
↓
double f(double d1, double d2, double d3) {
        double r477056 = d1;
        double r477057 = 32.0;
        double r477058 = d2;
        double r477059 = d3;
        double r477060 = 5.0;
        double r477061 = r477059 + r477060;
        double r477062 = r477058 + r477061;
        double r477063 = r477057 + r477062;
        double r477064 = r477056 * r477063;
        return r477064;
}

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 2019323 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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