Details

sample106.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
13.0ms	229×	body	80	nan

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	11
1	16	11
2	19	11
3	21	11
done	21	11

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(/ (- 1.0 x) (+ 1.0 x))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
41×	`times-frac`
26×	`sqrt-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`add-exp-log` `associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num` `flip--`

Counts

2 → 84

Calls

2 calls:

21.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
27.0ms	(/ (- 1.0 x) (+ 1.0 x))

series202.0ms

Counts

2 → 6

Calls

2 calls:

141.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
60.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify1.8s

Counts

90 → 90

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	155	1324
1	341	1249
2	842	1175
3	2123	1159
done	5000	1143

prune337.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	11	11
done	11	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

754.0ms	8000×	body	80	valid
506.0ms	7970×	body	80	nan