Details

Time bar (total: 8.3s)

sample99.0ms

Algorithm
intervals
Results
55.0ms634×body80nan
27.0ms256×body80valid

simplify51.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
51.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×add-sqr-sqrt *-un-lft-identity
20×sqrt-prod
18×add-cube-cbrt
8×associate-/l* difference-of-squares
3×associate-/r* add-cbrt-cube add-exp-log
2×sqrt-div associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-- div-exp insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 50
Calls
1 calls:
Slowest
9.0ms
(/ (sqrt (- 1 (* x x))) x)

series121.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
121.0ms
(/ (sqrt (- 1 (* x x))) x)

simplify2.9s

Counts
64 → 53
Calls
64 calls:
Slowest
308.0ms
(sqrt (- (pow 1 3) (pow (* x x) 3)))
290.0ms
(- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3))))
269.0ms
(+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/8 (/ 1 (* (pow x 4) (sqrt -1))))))
257.0ms
(- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/8 (/ 1 (* (pow x 4) (sqrt -1)))))))
206.0ms
(/ (* (* (sqrt (- 1 (* x x))) (sqrt (- 1 (* x x)))) (sqrt (- 1 (* x x)))) (* (* x x) x))

prune434.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample4.7s

Algorithm
intervals
Results
3.0s23777×body80nan
1.2s8000×body80valid