Details

sample36.0ms

Algorithm

intervals

Results

8.0ms	328×	body	80	valid
7.0ms	296×	body	80	nan

simplify75.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	5
1	21	5
2	36	5
3	62	5
4	133	5
5	211	5
6	397	5
7	1798	5
8	5001	5
done	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.8b	(- (* y y) (* z z))
25.2b	(sqrt (- (* y y) (* z z)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`sqrt-div`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`associate-*r/` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 54

Calls

3 calls:

28.0ms	(* x (sqrt (- (* y y) (* z z))))
10.0ms	(- (* y y) (* z z))
9.0ms	(sqrt (- (* y y) (* z z)))

series156.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* x (sqrt (- (* y y) (* z z))))
30.0ms	(- (* y y) (* z z))
49.0ms	(sqrt (- (* y y) (* z z)))

simplify73.0ms

Counts

63 → 63

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	187	364
1	732	340
2	3010	337
3	5002	337
done	5002	337

prune133.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (* y y) (* z z))
2.8b	(- (* y y) (* z z))
25.2b	(sqrt (- (* y y) (* z z)))
25.2b	(sqrt (- (* y y) (* z z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

8.0ms	(- (* y y) (* z z))
8.0ms	(- (* y y) (* z z))
9.0ms	(sqrt (- (* y y) (* z z)))
12.0ms	(sqrt (- (* y y) (* z z)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* y y) (* z z))
30.0ms	(- (* y y) (* z z))
43.0ms	(sqrt (- (* y y) (* z z)))
49.0ms	(sqrt (- (* y y) (* z z)))

simplify47.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	122	378
1	432	350
2	1459	350
3	5001	348
done	5001	348

prune199.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune3.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

Details

sample36.0ms

simplify75.0ms

prune2.0ms

localize7.0ms

rewrite48.0ms

series156.0ms

simplify73.0ms

prune133.0ms

localize9.0ms

rewrite38.0ms

series158.0ms

simplify47.0ms

prune199.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune3.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes520.0ms

bsearch10.0ms