Error

Derivation

1. Initial program 14.5

   \[\left(\frac{\pi}{2} \cdot \frac{1}{{b}^2 - {a}^2}\right) \cdot \left(\frac{1}{a} - \frac{1}{b}\right)\]
2. Using strategy rm

3. Applied frac-sub 14.6

   \[\leadsto \left(\frac{\pi}{2} \cdot \frac{1}{{b}^2 - {a}^2}\right) \cdot \color{blue}{\frac{1 \cdot b - a \cdot 1}{a \cdot b}}\]

4. Applied associate-*l/ 14.6

   \[\leadsto \color{blue}{\frac{\pi \cdot \frac{1}{{b}^2 - {a}^2}}{2}} \cdot \frac{1 \cdot b - a \cdot 1}{a \cdot b}\]

5. Applied frac-times 14.6

   \[\leadsto \color{blue}{\frac{\left(\pi \cdot \frac{1}{{b}^2 - {a}^2}\right) \cdot \left(1 \cdot b - a \cdot 1\right)}{2 \cdot \left(a \cdot b\right)}}\]

6. Applied simplify 0.2

   \[\leadsto \frac{\color{blue}{\frac{\pi}{b + a}}}{2 \cdot \left(a \cdot b\right)}\]
7. Using strategy rm

8. Applied div-inv 0.3

   \[\leadsto \color{blue}{\frac{\pi}{b + a} \cdot \frac{1}{2 \cdot \left(a \cdot b\right)}}\]
9. Removed slow pow expressions

Runtime

Time bar (total: 40.7s) Debug log

Please include this information when filing a bug report:

herbie --seed '#(4294275321 1056437738 1738865863 876234963 1873281196 2916868371)'
(FPCore (a b)
  :name "NMSE Section 6.1 mentioned, B"
  (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))))