Details

Time bar (total: 12.5s)

sample171.0ms

Algorithm
intervals
Results
98.0ms773×body80nan
47.0ms256×body80valid

simplify32.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
32.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- 1 (* x x)))
0.0b
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
0.0b
(/ (sqrt (- 1 (* x x))) x)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
37×times-frac
34×add-sqr-sqrt
28×sqrt-prod
25×add-cube-cbrt
10×difference-of-squares
8×distribute-lft-out associate-/l*
7×div-inv
5×add-cbrt-cube add-exp-log add-log-exp
4×pow1 sqrt-div
3×associate-/r* distribute-rgt-out insert-posit16
2×flip3-- flip-- associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp frac-add distribute-rgt1-in flip-+
Counts
3 → 93
Calls
3 calls:
Slowest
17.0ms
(/ (sqrt (- 1 (* x x))) x)
17.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
4.0ms
(sqrt (- 1 (* x x)))

series656.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
428.0ms
(sqrt (- 1 (* x x)))
134.0ms
(/ (sqrt (- 1 (* x x))) x)
95.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

simplify5.7s

Counts
103 → 102
Calls
103 calls:
Slowest
409.0ms
(+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))
407.0ms
(+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/8 (/ 1 (* (pow x 4) (sqrt -1))))))
362.0ms
(- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3))))
355.0ms
(- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3))))
321.0ms
(- (/ 1 x) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)))

prune935.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.5s24335×body80nan
962.0ms8000×body80valid