Average Error: 0.0 → 0.0
Time: 3.3s
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 r420081 = d1;
        double r420082 = d2;
        double r420083 = r420081 * r420082;
        double r420084 = d3;
        double r420085 = 5.0;
        double r420086 = r420084 + r420085;
        double r420087 = r420086 * r420081;
        double r420088 = r420083 + r420087;
        double r420089 = 32.0;
        double r420090 = r420081 * r420089;
        double r420091 = r420088 + r420090;
        return r420091;
}
↓
double f(double d1, double d2, double d3) {
        double r420092 = d1;
        double r420093 = d2;
        double r420094 = d3;
        double r420095 = 5.0;
        double r420096 = r420094 + r420095;
        double r420097 = 32.0;
        double r420098 = r420096 + r420097;
        double r420099 = r420093 + r420098;
        double r420100 = r420092 * r420099;
        return r420100;
}

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 2020021 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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