Details

Time bar (total: 3.1s)

sample37.0ms

Algorithm
intervals
Results
13.0ms775×body80nan
6.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
194
294
done94

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(log (- (/ 1.0 x) 1.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
4×*-un-lft-identity
2×pow1 add-exp-log add-cube-cbrt log-div difference-of-squares
1×flip3-- times-frac rem-log-exp log-pow add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
Counts
1 → 17
Calls
1 calls:
11.0ms
(log (- (/ 1.0 x) 1.0))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(log (- (/ 1.0 x) 1.0))

simplify59.0ms

Counts
20 → 20
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0153144
1424131
21814130
35001130
done5001130

prune58.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt (- (/ 1.0 x) 1.0)))
0.0b
(log (sqrt (- (/ 1.0 x) 1.0)))
0.1b
(sqrt (- (/ 1.0 x) 1.0))
0.1b
(sqrt (- (/ 1.0 x) 1.0))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
24×sqrt-prod
18×log-prod *-un-lft-identity
10×pow1 add-cube-cbrt
8×sqrt-div difference-of-squares
6×add-exp-log log-pow
4×log-div flip3-- sqrt-pow1 times-frac pow1/2 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
2×rem-sqrt-square rem-log-exp
Counts
4 → 80
Calls
4 calls:
11.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
11.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
21.0ms
(sqrt (- (/ 1.0 x) 1.0))
19.0ms
(sqrt (- (/ 1.0 x) 1.0))

series341.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
122.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
49.0ms
(sqrt (- (/ 1.0 x) 1.0))
54.0ms
(sqrt (- (/ 1.0 x) 1.0))

simplify79.0ms

Counts
92 → 92
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0212728
1576678
22493660
35002648
done5002648

prune230.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (- (/ 1.0 x) 1.0)))
0.3b
(* (fabs (cbrt (- (/ 1.0 x) 1.0))) (sqrt (cbrt (- (/ 1.0 x) 1.0))))
0.5b
(cbrt (- (/ 1.0 x) 1.0))
0.5b
(cbrt (- (/ 1.0 x) 1.0))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
26×cbrt-prod
20×*-un-lft-identity sqrt-prod
12×add-cube-cbrt associate-*r*
8×cbrt-div difference-of-squares
7×pow1
6×add-exp-log add-cbrt-cube
4×flip3-- times-frac sqrt-div flip-- distribute-lft-out-- add-log-exp
3×pow1/3 associate-*l* unswap-sqr
2×rem-sqrt-square sqrt-pow1 associate-*r/
1×pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
20.0ms
(sqrt (cbrt (- (/ 1.0 x) 1.0)))
49.0ms
(* (fabs (cbrt (- (/ 1.0 x) 1.0))) (sqrt (cbrt (- (/ 1.0 x) 1.0))))
10.0ms
(cbrt (- (/ 1.0 x) 1.0))
10.0ms
(cbrt (- (/ 1.0 x) 1.0))

series552.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(sqrt (cbrt (- (/ 1.0 x) 1.0)))
150.0ms
(* (fabs (cbrt (- (/ 1.0 x) 1.0))) (sqrt (cbrt (- (/ 1.0 x) 1.0))))
129.0ms
(cbrt (- (/ 1.0 x) 1.0))
137.0ms
(cbrt (- (/ 1.0 x) 1.0))

simplify58.0ms

Counts
98 → 98
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05631111
119251054
25001993
done5001993

prune392.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01816
11916
21916
done1916

end0.0ms

sample1.1s

Algorithm
intervals
Results
422.0ms24216×body80nan
192.0ms8000×body80valid