Details

Time bar (total: 9.7s)

sample140.0ms

Algorithm
intervals
Results
90.0ms770×body80nan
29.0ms256×body80valid

simplify20.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
20.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
37×times-frac
30×add-sqr-sqrt
23×add-cube-cbrt sqrt-prod
8×distribute-lft-out associate-/l* difference-of-squares
7×div-inv
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* distribute-rgt-out
2×pow1 sqrt-div insert-posit16 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 → 75
Calls
2 calls:
Slowest
14.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
9.0ms
(/ (sqrt (- 1 (* x x))) x)

series233.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
145.0ms
(/ (sqrt (- 1 (* x x))) x)
88.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

simplify4.0s

Counts
91 → 81
Calls
91 calls:
Slowest
337.0ms
(- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3))))
326.0ms
(- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3))))
305.0ms
(sqrt (- (pow 1 3) (pow (* x x) 3)))
301.0ms
(+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/8 (/ 1 (* (pow x 4) (sqrt -1))))))
278.0ms
(- (/ 1 x) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)))

prune672.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample4.6s

Algorithm
intervals
Results
3.1s23803×body80nan
1.0s8000×body80valid