Details

sample58.0ms

Algorithm

intervals

Results

16.0ms	273×	body	160	nan
15.0ms	575×	body	80	nan
9.0ms	256×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	232
1	10	232
2	11	232
done	11	232

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize26.0ms

Local error

Found 1 expressions with local error:

28.7b

(sqrt (- (* x x) 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip--` `add-log-exp` `difference-of-squares`

Counts

1 → 16

Calls

1 calls:

12.0ms

(sqrt (- (* x x) 1.0))

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(sqrt (- (* x x) 1.0))

simplify3.4s

Counts

19 → 19

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	64	5587
1	149	4390
2	581	4188
3	4999	4188
done	5000	4188

prune98.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ x (sqrt 1.0)))
0.5b	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`sqrt-prod`
14×	`sqrt-div`
13×	`*-un-lft-identity`
9×	`associate-r`
7×	`pow1` `associate-l` `add-cube-cbrt`
4×	`frac-times` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `unswap-sqr`
3×	`sqrt-pow1` `flip3--` `pow1/2` `pow-prod-down` `flip--`
2×	`associate-l/` `associate-r/` `distribute-lft-out` `add-log-exp` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--`

Counts

2 → 58

Calls

2 calls:

8.0ms	(sqrt (+ x (sqrt 1.0)))
42.0ms	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series357.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(sqrt (+ x (sqrt 1.0)))
276.0ms	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify1.3s

Counts

64 → 64

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	150	26412
1	343	20310
2	1270	20027
done	5000	19547

prune420.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	352
1	13	352
done	13	352

end0.0ms

sample3.3s

Algorithm

intervals

Results

910.0ms	7642×	body	160	nan
887.0ms	8000×	body	80	valid
864.0ms	15820×	body	80	nan