Details

sample73.0ms

Algorithm

intervals

Results

24.0ms	338×	body	80	nan
21.0ms	329×	body	80	valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 24.3b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

2.0b	(- (* y y) (* z z))
23.9b	(sqrt (- (* y y) (* z z)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

4.0ms	(- (* y y) (* z z))
4.0ms	(sqrt (- (* y y) (* z z)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- (* y y) (* z z))
44.0ms	(sqrt (- (* y y) (* z z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	122	189
1	432	175
2	1459	175
3	5001	174

prune72.0ms

Filtered

35 candidates to 27 candidates (77.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0.0b

Counts

36 → 4

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Merged error: 0.0b

Counts

4 → 4

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 0.0b

Counts

4 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

6.0ms	(sqrt (- y z))
3.0ms	(sqrt (+ y z))
11.0ms	(* (sqrt (+ y z)) (sqrt (- y z)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(sqrt (- y z))
38.0ms	(sqrt (+ y z))
64.0ms	(* (sqrt (+ y z)) (sqrt (- y z)))

simplify68.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	236	514
1	742	490
2	2902	475
3	5002	475

prune158.0ms

Filtered

83 candidates to 58 candidates (69.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	83	4	87

Merged error: 0b

Counts

87 → 4

Details

sample73.0ms

simplify80.0ms

prune2.0ms

localize8.0ms

rewrite8.0ms

series77.0ms

simplify48.0ms

prune72.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune4.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune2.0ms

localize9.0ms

rewrite23.0ms

series168.0ms

simplify68.0ms

prune158.0ms

regimes347.0ms

bsearch43.0ms

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