Error

Derivation

1. Split input into 2 regimes.

2. if x < -6.667433711053936e-08

   1. Initial program 0.2

      \[e^{x} - 1\]

   if -6.667433711053936e-08 < x

   1. Initial program 59.5

      \[e^{x} - 1\]

   2. Applied taylor 0.1

      \[\leadsto \frac{1}{2} \cdot {x}^2 + \left(\frac{1}{6} \cdot {x}^{3} + x\right)\]

   3. Taylor expanded around 0 0.1

      \[\leadsto \color{blue}{\frac{1}{2} \cdot {x}^2 + \left(\frac{1}{6} \cdot {x}^{3} + x\right)}\]

   4. Applied simplify 0.1

      \[\leadsto \color{blue}{{x}^2 \cdot \left(\frac{1}{2} + x \cdot \frac{1}{6}\right) + x}\]
   5. Using strategy rm

   6. Applied distribute-lft-in 0.1

      \[\leadsto \color{blue}{\left({x}^2 \cdot \frac{1}{2} + {x}^2 \cdot \left(x \cdot \frac{1}{6}\right)\right)} + x\]

   7. Applied associate-+l+ 0.1

      \[\leadsto \color{blue}{{x}^2 \cdot \frac{1}{2} + \left({x}^2 \cdot \left(x \cdot \frac{1}{6}\right) + x\right)}\]

   8. Applied simplify 0.1

      \[\leadsto {x}^2 \cdot \frac{1}{2} + \color{blue}{\left({x}^3 \cdot \frac{1}{6} + x\right)}\]
3. Recombined 2 regimes into one program.
4. Removed slow pow expressions

Runtime

Time bar (total: 10.4s) Debug log

Please include this information when filing a bug report:

herbie shell --seed '#(3052192724 3812927732 3686175817 630908657 2373248591 511094450)'
(FPCore (x)
  :name "NMSE example 3.7"
  (- (exp x) 1))