Error

Derivation

1. Initial program 14.6

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

2. Applied simplify9.4

   \[\leadsto \color{blue}{\left(\frac{1}{a} - \frac{1}{b}\right) \cdot \frac{\frac{\frac{\pi}{2}}{b - a}}{b + a}}\]
3. Using strategy rm

4. Applied associate-*r/0.3

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

5. Applied simplify0.3

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

7. Applied *-un-lft-identity0.3

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

8. Applied times-frac0.3

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

Runtime

Time bar (total: 2.0m)Debug logProfile

herbie shell --seed '#(1070991898 1055468627 4280279443 640792587 928206309 3646738750)' 
(FPCore (a b)
  :name "NMSE Section 6.1 mentioned, B"
  (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))))