Details

Time bar (total: 9.0s)

sample504.0ms

Algorithm
intervals
Results
211.0ms724×body80nan
69.0ms256×body80valid

simplify45.0ms

Calls
1 calls:
Slowest
44.0ms
(- (log (- (/ 1 x) 1)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×log-prod
3×pow1 *-un-lft-identity add-exp-log add-cube-cbrt
2×log-div flip3-- add-cbrt-cube difference-of-sqr-1 insert-posit16 flip-- add-log-exp
1×sub-neg rem-log-exp log-pow
Calls
2 calls:
Slowest
8.0ms
(- (/ 1 x) 1)
3.0ms
(log (- (/ 1 x) 1))

series42.0ms

Calls
2 calls:
Slowest
22.0ms
(log (- (/ 1 x) 1))
20.0ms
(- (/ 1 x) 1)

simplify900.0ms

Calls
14 calls:
Slowest
196.0ms
(- (+ x (+ (* 1/2 (pow x 2)) (log x))))
177.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
163.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
122.0ms
(log (- (* (/ 1 x) (/ 1 x)) (* 1 1)))
85.0ms
(log (- (pow (/ 1 x) 3) (pow 1 3)))

prune340.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (/ 1 x) 1))
0.1b
(sqrt (- (/ 1 x) 1))
0.0b
(- (/ 1 x) 1)
0.0b
(- (/ 1 x) 1)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×sqrt-prod
6×*-un-lft-identity add-cube-cbrt
4×pow1 flip3-- add-cbrt-cube sqrt-div difference-of-sqr-1 add-exp-log insert-posit16 flip-- add-log-exp
2×rem-sqrt-square sub-neg pow1/2
Calls
4 calls:
Slowest
10.0ms
(- (/ 1 x) 1)
7.0ms
(sqrt (- (/ 1 x) 1))
7.0ms
(sqrt (- (/ 1 x) 1))
6.0ms
(- (/ 1 x) 1)

series58.0ms

Calls
4 calls:
Slowest
18.0ms
(sqrt (- (/ 1 x) 1))
15.0ms
(sqrt (- (/ 1 x) 1))
15.0ms
(- (/ 1 x) 1)
10.0ms
(- (/ 1 x) 1)

simplify2.3s

Calls
28 calls:
Slowest
440.0ms
(- (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))
416.0ms
(- (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))
409.0ms
(- (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))
385.0ms
(- (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))
128.0ms
(sqrt (- (* (/ 1 x) (/ 1 x)) (* 1 1)))

prune711.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample3.9s

Algorithm
intervals
Results
2.5s23906×body80nan
861.0ms8000×body80valid