Details

Time bar (total: 11.7s)

sample96.0ms

Algorithm
intervals
Results
56.0ms770×body80nan
25.0ms256×body80valid

simplify73.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
73.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
46×times-frac
37×add-sqr-sqrt
30×add-cube-cbrt
23×sqrt-prod
13×fma-def
8×div-inv distribute-lft-out associate-/l* difference-of-squares
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* distribute-rgt-out
2×expm1-log1p-u pow1 sqrt-div insert-posit16 log1p-expm1-u associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ flip3-- div-exp frac-add distribute-rgt1-in flip-+ flip--
Counts
2 → 92
Calls
2 calls:
Slowest
33.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
16.0ms
(/ (sqrt (- 1 (* x x))) x)

series283.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
175.0ms
(/ (sqrt (- 1 (* x x))) x)
109.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

simplify5.0s

Counts
102 → 98
Calls
102 calls:
Slowest
482.0ms
(- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3))))
438.0ms
(- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3))))
385.0ms
(sqrt (- (pow 1 3) (pow (* x x) 3)))
314.0ms
(- (/ 1 x) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)))
286.0ms
(- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/8 (/ 1 (* (pow x 4) (sqrt -1)))))))

prune915.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.2s

Algorithm
intervals
Results
3.2s23803×body80nan
1.4s8000×body80valid