Details

Time bar (total: 8.1s)

sample159.0ms

Algorithm
intervals
Results
104.0ms760×body80nan
34.0ms256×body80valid

simplify26.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
26.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
22×times-frac
15×add-sqr-sqrt
13×fma-def
12×add-cube-cbrt
8×distribute-lft-out
7×div-inv
3×distribute-rgt-out sqrt-prod add-log-exp
1×expm1-log1p-u pow1 +-commutative sum-log flip3-+ add-cbrt-cube frac-add distribute-rgt1-in add-exp-log flip-+ insert-posit16 log1p-expm1-u
Counts
1 → 40
Calls
1 calls:
Slowest
31.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

series92.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
92.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

simplify2.0s

Counts
38 → 43
Calls
38 calls:
Slowest
458.0ms
(- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3))))
411.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
293.0ms
(- (/ 1 x) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)))
193.0ms
(+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x)))
52.0ms
(+ (* 1 x) (* x (sqrt (- 1 (* x x)))))

prune435.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.3s

Algorithm
intervals
Results
3.2s24056×body80nan
1.5s8000×body80valid