Details

Time bar (total: 10.0s)

sample149.0ms

Algorithm
intervals
Results
97.0ms762×body80nan
33.0ms256×body80valid

simplify21.0ms

Calls
1 calls:
Slowest
21.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
37×times-frac
30×add-sqr-sqrt
23×add-cube-cbrt sqrt-prod
distribute-lft-out associate-/l* difference-of-squares
div-inv
add-cbrt-cube add-exp-log add-log-exp
associate-/r* distribute-rgt-out
pow1 sqrt-div insert-posit16 associate-/l/
cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ flip3-- div-exp frac-add distribute-rgt1-in flip-+ flip--
Calls
2 calls:
Slowest
15.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
14.0ms
(/ (sqrt (- 1 (* x x))) x)

series250.0ms

Calls
2 calls:
Slowest
143.0ms
(/ (sqrt (- 1 (* x x))) x)
106.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

simplify3.8s

Calls
91 calls:
Slowest
343.0ms
(sqrt (- (pow 1 3) (pow (* x x) 3)))
317.0ms
(- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3))))
302.0ms
(+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/8 (/ 1 (* (pow x 4) (sqrt -1))))))
293.0ms
(- (/ 1 x) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)))
288.0ms
(- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3))))

prune613.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.1s

Algorithm
intervals
Results
3.2s24289×body80nan
1.5s8000×body80valid