Details

Time bar (total: 6.7s)

sample136.0ms

Algorithm
intervals
Results
82.0ms760×body80nan
34.0ms256×body80valid

simplify32.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
13×times-frac
8×add-sqr-sqrt distribute-lft-out
6×div-inv
5×add-cube-cbrt
3×distribute-rgt-out sqrt-prod add-log-exp
1×pow1 +-commutative sum-log flip3-+ add-cbrt-cube frac-add distribute-rgt1-in add-exp-log flip-+ insert-posit16
Counts
1 → 25
Calls
1 calls:
Slowest
31.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

series93.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
93.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

simplify1.2s

Counts
27 → 28
Calls
27 calls:
Slowest
347.0ms
(- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3))))
236.0ms
(- (/ 1 x) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)))
125.0ms
(+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x)))
42.0ms
(+ (/ (sqrt 1) (cbrt x)) (/ (sqrt (- 1 (* x x))) (cbrt x)))
36.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

prune230.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.3s24056×body80nan
1.1s8000×body80valid