Average Error: 29.3 → 29.3
Time: 23.9s
Precision: 64
Internal Precision: 1344
$\frac{\sqrt{x + 1}}{\sqrt{x + 1} - \sqrt{x}} - \frac{\sqrt{x}}{\sqrt{x + 1} - \sqrt{x}}$
$\left(\sqrt[3]{\frac{\sqrt{x + 1}}{\sqrt{x + 1} - \sqrt{x}} - \frac{\sqrt{x}}{\sqrt{x + 1} - \sqrt{x}}} \cdot \sqrt[3]{\frac{\sqrt{x + 1}}{\sqrt{x + 1} - \sqrt{x}} - \frac{\sqrt{x}}{\sqrt{x + 1} - \sqrt{x}}}\right) \cdot \sqrt[3]{\frac{\sqrt{x + 1}}{\sqrt{x + 1} - \sqrt{x}} - \frac{\sqrt{x}}{\sqrt{x + 1} - \sqrt{x}}}$

# Try it out

Results

 In Out
Enter valid numbers for all inputs

# Derivation

1. Initial program 29.3

$\frac{\sqrt{x + 1}}{\sqrt{x + 1} - \sqrt{x}} - \frac{\sqrt{x}}{\sqrt{x + 1} - \sqrt{x}}$
2. Using strategy rm
$\leadsto \color{blue}{\left(\sqrt[3]{\frac{\sqrt{x + 1}}{\sqrt{x + 1} - \sqrt{x}} - \frac{\sqrt{x}}{\sqrt{x + 1} - \sqrt{x}}} \cdot \sqrt[3]{\frac{\sqrt{x + 1}}{\sqrt{x + 1} - \sqrt{x}} - \frac{\sqrt{x}}{\sqrt{x + 1} - \sqrt{x}}}\right) \cdot \sqrt[3]{\frac{\sqrt{x + 1}}{\sqrt{x + 1} - \sqrt{x}} - \frac{\sqrt{x}}{\sqrt{x + 1} - \sqrt{x}}}}$
herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)'