Details

Time bar (total: 7.4s)

sample194.0ms

Algorithm
intervals
Results
100.0ms762×body80nan
25.0ms256×body80valid

simplify21.0ms

Calls
1 calls:
Slowest
20.0ms
(- (log (- (/ 1 x) 1)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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--
expm1-log1p-u flip3-- add-cbrt-cube rem-log-exp log-pow insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Calls
1 calls:
Slowest
18.0ms
(log (- (/ 1 x) 1))

series64.0ms

Calls
1 calls:
Slowest
64.0ms
(log (- (/ 1 x) 1))

simplify1.4s

Calls
20 calls:
Slowest
500.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
213.0ms
(log (- (pow (/ 1 x) 3) (pow 1 3)))
178.0ms
(- (+ x (+ (* 1/2 (pow x 2)) (log x))))
169.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
96.0ms
(log (- (* (/ 1 x) (/ 1 x)) (* 1 1)))

prune252.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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--
expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-- add-cbrt-cube pow1/2 add-exp-log insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Calls
2 calls:
Slowest
32.0ms
(sqrt (- (/ 1 x) 1))
25.0ms
(sqrt (- (/ 1 x) 1))

series90.0ms

Calls
2 calls:
Slowest
52.0ms
(sqrt (- (/ 1 x) 1))
38.0ms
(sqrt (- (/ 1 x) 1))

simplify1.8s

Calls
42 calls:
Slowest
204.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))
203.0ms
(sqrt (- (pow (/ 1 x) 3) (pow 1 3)))
202.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))
181.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))
174.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))

prune572.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.9s24289×body80nan
641.0ms8000×body80valid