Details

Time bar (total: 1.2s)

sample50.0ms

Algorithm
intervals
Results
39.0ms304×body80valid

simplify437.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
437.0ms
(* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.8b

localize21.0ms

Local error

Found 4 expressions with local error:

4.9b
(/ (/ (/ (/ PI 2) (- b a)) (+ a b)) a)
3.9b
(/ (/ (/ (/ PI 2) (- b a)) (+ a b)) b)
0.3b
(/ (/ PI 2) (- b a))
0.3b
(/ (/ PI 2) (- b a))

rewrite270.0ms

Algorithm
rewrite-expression-head
Rules
7770×times-frac
4866×*-un-lft-identity
3730×add-sqr-sqrt
2842×add-cube-cbrt
606×associate-/l*
568×distribute-lft-out
444×distribute-lft-out-- difference-of-squares
216×div-inv
84×associate-/r/
42×add-cbrt-cube add-exp-log
34×flip3-- flip--
26×cbrt-undiv div-exp
16×associate-/r*
flip3-+ flip-+
pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
Counts
4 → 2568
Calls
4 calls:
Slowest
37.0ms
(/ (/ (/ (/ PI 2) (- b a)) (+ a b)) a)
29.0ms
(/ (/ (/ (/ PI 2) (- b a)) (+ a b)) b)
22.0ms
(/ (/ PI 2) (- b a))
10.0ms
(/ (/ PI 2) (- b a))

series391.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
121.0ms
(/ (/ (/ (/ PI 2) (- b a)) (+ a b)) a)
110.0ms
(/ (/ (/ (/ PI 2) (- b a)) (+ a b)) b)
81.0ms
(/ (/ PI 2) (- b a))
79.0ms
(/ (/ PI 2) (- b a))