Details

Time bar (total: 8.0s)

sample160.0ms

Algorithm
intervals
Results
40.0ms762×body80nan
18.0ms256×body80valid

simplify65.0ms

Calls
1 calls:
Slowest
65.0ms
(- (log (- (/ 1 x) 1)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 1 expressions with local error:

0.0b
(log (- (/ 1 x) 1))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×log-prod
11×*-un-lft-identity
times-frac difference-of-squares
difference-of-sqr-1
pow1 log-div add-exp-log add-cube-cbrt distribute-lft-out--
flip3-- add-cbrt-cube rem-log-exp log-pow insert-posit16 div-inv flip-- add-log-exp
Calls
1 calls:
Slowest
16.0ms
(log (- (/ 1 x) 1))

series55.0ms

Calls
1 calls:
Slowest
54.0ms
(log (- (/ 1 x) 1))

simplify1.6s

Calls
20 calls:
Slowest
551.0ms
(log (- (pow (/ 1 x) 3) (pow 1 3)))
249.0ms
(log (- (* (/ 1 x) (/ 1 x)) (* 1 1)))
215.0ms
(- (+ x (+ (* 1/2 (pow x 2)) (log x))))
176.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
131.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))

prune227.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 2 expressions with local error:

0.1b
(sqrt (- (/ 1 x) 1))
0.1b
(sqrt (- (/ 1 x) 1))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
28×sqrt-prod
22×*-un-lft-identity
12×times-frac difference-of-squares
difference-of-sqr-1
pow1 sqrt-div add-cube-cbrt distribute-lft-out--
rem-sqrt-square sqrt-pow1 flip3-- add-cbrt-cube pow1/2 add-exp-log insert-posit16 div-inv flip-- add-log-exp
Calls
2 calls:
Slowest
20.0ms
(sqrt (- (/ 1 x) 1))
20.0ms
(sqrt (- (/ 1 x) 1))

series93.0ms

Calls
2 calls:
Slowest
56.0ms
(sqrt (- (/ 1 x) 1))
37.0ms
(sqrt (- (/ 1 x) 1))

simplify1.9s

Calls
42 calls:
Slowest
244.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))
243.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))
237.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))
196.0ms
(sqrt (- (pow (/ 1 x) 3) (pow 1 3)))
194.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))

prune576.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample3.3s

Algorithm
intervals
Results
2.2s24289×body80nan
660.0ms8000×body80valid