Average Error: 0.0 → 0.0
Time: 1.9s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot d2 + d1 \cdot \left(\left(d3 + 5\right) + 32\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot d2 + d1 \cdot \left(\left(d3 + 5\right) + 32\right)
double f(double d1, double d2, double d3) {
        double r716139 = d1;
        double r716140 = d2;
        double r716141 = r716139 * r716140;
        double r716142 = d3;
        double r716143 = 5.0;
        double r716144 = r716142 + r716143;
        double r716145 = r716144 * r716139;
        double r716146 = r716141 + r716145;
        double r716147 = 32.0;
        double r716148 = r716139 * r716147;
        double r716149 = r716146 + r716148;
        return r716149;
}
↓
double f(double d1, double d2, double d3) {
        double r716150 = d1;
        double r716151 = d2;
        double r716152 = r716150 * r716151;
        double r716153 = d3;
        double r716154 = 5.0;
        double r716155 = r716153 + r716154;
        double r716156 = 32.0;
        double r716157 = r716155 + r716156;
        double r716158 = r716150 * r716157;
        double r716159 = r716152 + r716158;
        return r716159;
}

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. Using strategy rm

  4. Applied distribute-lft-in0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2020039 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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