Details

sample68.0ms

Algorithm

intervals

Results

25.0ms	303×	body	80	nan
13.0ms	314×	body	80	valid

simplify14.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	21	10
3	36	10
4	62	10
5	133	10
6	191	10
7	373	10
8	1541	10
done	5000	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
3.4b	(- (* y y) (* z z))
24.8b	(sqrt (- (* y y) (* z z)))

rewrite94.0ms

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:

65.0ms	(* x (sqrt (- (* y y) (* z z))))
17.0ms	(- (* y y) (* z z))
10.0ms	(sqrt (- (* y y) (* z z)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(* x (sqrt (- (* y y) (* z z))))
40.0ms	(- (* y y) (* z z))
58.0ms	(sqrt (- (* y y) (* z z)))

simplify1.2s

Counts

63 → 63

Iterations

Useful iterations: 2 (154.0ms)

Iter	Nodes	Cost
0	85	765
1	185	697
2	443	613
3	1486	613
done	5001	613

prune197.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize5.0ms

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

prune6.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune5.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

81.0ms	(* x (* (sqrt (+ y z)) (sqrt (- y z))))
15.0ms	(sqrt (- y z))
88.0ms	(* (sqrt (+ y z)) (sqrt (- y z)))

series261.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(* x (* (sqrt (+ y z)) (sqrt (- y z))))
72.0ms	(sqrt (- y z))
81.0ms	(* (sqrt (+ y z)) (sqrt (- y z)))

simplify3.7s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	154	1250
1	349	1118
2	1005	1070
3	3679	1052
done	5000	1052

prune279.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.3b

Details

sample68.0ms

simplify14.6s

prune2.0ms

localize8.0ms

rewrite94.0ms

series201.0ms

simplify1.2s

prune197.0ms

localize5.0ms

rewrite0.0ms

series0.0ms

simplify0.0ms

prune6.0ms

localize7.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune5.0ms

localize20.0ms

rewrite191.0ms

series261.0ms

simplify3.7s

prune279.0ms

regimes458.0ms

bsearch71.0ms