Details

sample53.0ms

Algorithm

intervals

Results

15.0ms	301×	body	80	nan
15.0ms	324×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	203
1	14	203
2	21	203
3	36	203
4	62	203
5	133	203
6	275	203
7	725	203
8	3279	203
done	5000	203

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.6b	(- (* y y) (* z z))
24.0b	(sqrt (- (* y y) (* z z)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

39.0ms	(* x (sqrt (- (* y y) (* z z))))
6.0ms	(- (* y y) (* z z))
7.0ms	(sqrt (- (* y y) (* z z)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(* x (sqrt (- (* y y) (* z z))))
34.0ms	(- (* y y) (* z z))
68.0ms	(sqrt (- (* y y) (* z z)))

simplify981.0ms

Counts

63 → 63

Iterations

Useful iterations: done (974.0ms)

Iter	Nodes	Cost
0	85	15908
1	211	13517
2	924	13517
done	5001	13477

prune316.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune24.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- y z))
0.0b	(sqrt (+ y z))
0.1b	(* x (sqrt (+ y z)))
0.2b	(* (* x (sqrt (+ y z))) (sqrt (- y z)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `sqrt-prod`
18×	`sqrt-div`
15×	`associate-r`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*r/`
5×	`flip3-+` `flip-+`
4×	`frac-times` `flip3--` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

11.0ms	(sqrt (- y z))
13.0ms	(sqrt (+ y z))
21.0ms	(* x (sqrt (+ y z)))
51.0ms	(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(sqrt (- y z))
49.0ms	(sqrt (+ y z))
96.0ms	(* x (sqrt (+ y z)))
157.0ms	(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify1.4s

Counts

101 → 101

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	162	29819
1	407	23573
2	1831	23253
done	5000	22813

prune447.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.1b

Details

sample53.0ms

simplify3.3s

prune9.0ms

localize13.0ms

rewrite55.0ms

series201.0ms

simplify981.0ms

prune316.0ms

localize7.0ms

rewrite0.0ms

series0.0ms

simplify0.0ms

prune24.0ms

localize17.0ms

rewrite101.0ms

series388.0ms

simplify1.4s

prune447.0ms

localize6.0ms

rewrite0.0ms

series0.0ms

simplify0.0ms

prune0.0ms

regimes875.0ms

bsearch33.0ms