Average Error: 0.0 → 0.1
Time: 29.0s
Precision: 64
Internal Precision: 576
\[\frac{108}{100} \cdot {\left(\frac{145}{100}\right)}^{x}\]
\[\sqrt[3]{\left({\left(\frac{108}{100}\right)}^{3} \cdot {\left(\frac{145}{100}\right)}^{x}\right) \cdot \left({\left(\frac{145}{100}\right)}^{x} \cdot {\left(\frac{145}{100}\right)}^{x}\right)}\]

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{108}{100} \cdot {\left(\frac{145}{100}\right)}^{x}\]
  2. Using strategy rm
  3. Applied add-cbrt-cube0.1

    \[\leadsto \frac{108}{100} \cdot \color{blue}{\sqrt[3]{\left({\left(\frac{145}{100}\right)}^{x} \cdot {\left(\frac{145}{100}\right)}^{x}\right) \cdot {\left(\frac{145}{100}\right)}^{x}}}\]
  4. Applied add-cbrt-cube0.1

    \[\leadsto \color{blue}{\sqrt[3]{\left(\frac{108}{100} \cdot \frac{108}{100}\right) \cdot \frac{108}{100}}} \cdot \sqrt[3]{\left({\left(\frac{145}{100}\right)}^{x} \cdot {\left(\frac{145}{100}\right)}^{x}\right) \cdot {\left(\frac{145}{100}\right)}^{x}}\]
  5. Applied cbrt-unprod0.1

    \[\leadsto \color{blue}{\sqrt[3]{\left(\left(\frac{108}{100} \cdot \frac{108}{100}\right) \cdot \frac{108}{100}\right) \cdot \left(\left({\left(\frac{145}{100}\right)}^{x} \cdot {\left(\frac{145}{100}\right)}^{x}\right) \cdot {\left(\frac{145}{100}\right)}^{x}\right)}}\]
  6. Applied simplify0.1

    \[\leadsto \sqrt[3]{\color{blue}{\left({\left(\frac{108}{100}\right)}^{3} \cdot {\left(\frac{145}{100}\right)}^{x}\right) \cdot \left({\left(\frac{145}{100}\right)}^{x} \cdot {\left(\frac{145}{100}\right)}^{x}\right)}}\]

Runtime

Time bar (total: 29.0s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (x)
  :name "(108/100)*((145/100)^x)"
  (* (/ 108 100) (pow (/ 145 100) x)))