Details

Time bar (total: 12.4s)

sample170.0ms

Algorithm
intervals
Results
109.0ms838×body80nan
35.0ms256×body80valid

simplify71.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
71.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
32×add-cube-cbrt
28×sqrt-prod
13×fma-def
10×difference-of-squares
8×div-inv distribute-lft-out associate-/l*
5×add-cbrt-cube add-exp-log add-log-exp
4×pow1 sqrt-div
3×expm1-log1p-u associate-/r* distribute-rgt-out insert-posit16 log1p-expm1-u
2×flip3-- flip-- associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp frac-add distribute-rgt1-in flip-+
Counts
3 → 112
Calls
3 calls:
Slowest
19.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
19.0ms
(/ (sqrt (- 1 (* x x))) x)
11.0ms
(sqrt (- 1 (* x x)))

series301.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
149.0ms
(/ (sqrt (- 1 (* x x))) x)
90.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
61.0ms
(sqrt (- 1 (* x x)))

simplify5.9s

Counts
114 → 121
Calls
114 calls:
Slowest
445.0ms
(- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3))))
395.0ms
(+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))
389.0ms
(- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3))))
383.0ms
(+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/8 (/ 1 (* (pow x 4) (sqrt -1))))))
354.0ms
(sqrt (- (pow 1 3) (pow (* x x) 3)))

prune993.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample4.8s

Algorithm
intervals
Results
3.3s24014×body80nan
964.0ms8000×body80valid