\[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]

↓

\[\left(\left(20 + 10\right) + d2\right) \cdot d1\]

double f(double d1, double d2) {
        double r2105826 = d1;
        double r2105827 = 10.0;
        double r2105828 = r2105826 * r2105827;
        double r2105829 = d2;
        double r2105830 = r2105826 * r2105829;
        double r2105831 = r2105828 + r2105830;
        double r2105832 = 20.0;
        double r2105833 = r2105826 * r2105832;
        double r2105834 = r2105831 + r2105833;
        return r2105834;
}

↓

double f(double d1, double d2) {
        double r2105835 = 20.0;
        double r2105836 = 10.0;
        double r2105837 = r2105835 + r2105836;
        double r2105838 = d2;
        double r2105839 = r2105837 + r2105838;
        double r2105840 = d1;
        double r2105841 = r2105839 * r2105840;
        return r2105841;
}

\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20

↓

\left(\left(20 + 10\right) + d2\right) \cdot d1

Derivation

Initial program 0.3
\[\frac{\left(\frac{\left(d1 \cdot \left(10\right)\right)}{\left(d1 \cdot d2\right)}\right)}{\left(d1 \cdot \left(20\right)\right)}\]
Simplified0.3
\[\leadsto \color{blue}{\left(\frac{\left(20\right)}{\left(\frac{\left(10\right)}{d2}\right)}\right) \cdot d1}\]
Using strategy rm
Applied associate-+r+0.3
\[\leadsto \color{blue}{\left(\frac{\left(\frac{\left(20\right)}{\left(10\right)}\right)}{d2}\right)} \cdot d1\]
Final simplification0.3
\[\leadsto \left(\left(20 + 10\right) + d2\right) \cdot d1\]

Reproduce

herbie shell --seed 2019101 
(FPCore (d1 d2)
  :name "FastMath test2"
  (+.p16 (+.p16 (*.p16 d1 (real->posit16 10)) (*.p16 d1 d2)) (*.p16 d1 (real->posit16 20))))

Error

Derivation

Reproduce