Details

sample228.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 24.946233%

Guaranteed chance to sample good point: 33.237827%

Results

11.0ms	315×	body	80	valid
5.0ms	138×	body	80	nan

simplify75.0ms

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

prune3.0ms

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: 24.8b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.4b	(- (* y y) (* z z))
24.7b	(sqrt (- (* y y) (* z z)))

rewrite18.0ms

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:

7.0ms	(* x (sqrt (- (* y y) (* z z))))
6.0ms	(- (* y y) (* z z))
4.0ms	(sqrt (- (* y y) (* z z)))

series32.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* x (sqrt (- (* y y) (* z z))))
6.0ms	(- (* y y) (* z z))
8.0ms	(sqrt (- (* y y) (* z z)))

simplify71.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	188	364
1	742	340
2	3019	337
3	5001	337

prune76.0ms

Filtered

46 candidates to 63 candidates (-37.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	59	4	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	5	64

Merged error: 0.2b

Counts

64 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (* y y) (* z z))
2.4b	(- (* y y) (* z z))
24.7b	(sqrt (- (* y y) (* z z)))
24.7b	(sqrt (- (* y y) (* z z)))

rewrite190.0ms

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:

4.0ms	(- (* y y) (* z z))
4.0ms	(- (* y y) (* z z))
4.0ms	(sqrt (- (* y y) (* z z)))
178.0ms	(sqrt (- (* y y) (* z z)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	123	378
1	439	350
2	1491	350
3	5003	348

prune81.0ms

Filtered

54 candidates to 70 candidates (-29.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	70	5	75

Merged error: 0.2b

Counts

75 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.4b	(- (* y y) (* z z))
24.7b	(sqrt (- (* y y) (* z z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
4.0ms	(- (* y y) (* z z))
5.0ms	(sqrt (- (* y y) (* z z)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt x)
24.0ms	(cbrt x)
6.0ms	(- (* y y) (* z z))
8.0ms	(sqrt (- (* y y) (* z z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	178	291
1	539	269
2	1747	249
3	5001	246

prune69.0ms

Filtered

49 candidates to 63 candidates (-28.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	62	6	68

Merged error: 0.2b

Counts

68 → 6

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

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	3	3
Total	6	6

Merged error: 0.2b

Counts

6 → 6

Details

sample228.0ms

simplify75.0ms

prune3.0ms

localize7.0ms

rewrite18.0ms

series32.0ms

simplify71.0ms

prune76.0ms

localize9.0ms

rewrite190.0ms

series27.0ms

simplify46.0ms

prune81.0ms

localize10.0ms

rewrite12.0ms

series62.0ms

simplify50.0ms

prune69.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes667.0ms

bsearch10.0ms

Profiling