Details

analyze285.0ms (10.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

sample41.0ms (1.4%)

Algorithm

1×

intervals

Results

11.0ms	193×	body	80	valid
10.0ms	24×	body	1280	valid
6.0ms	21×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	6×	body	160	valid

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	226	9
1	226	9

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b	(* z (sin y))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

4.0ms

(* z (sin y))

series7.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(* z (sin y))

simplify42.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4985	109
1	4985	109

prune44.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Merged error: 0.0b

Counts

22 → 5

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.6b	(cbrt (* z (sin y)))
6.6b	(cbrt (* z (sin y)))
6.6b	(cbrt (* z (sin y)))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
5.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series103.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
23.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))

simplify57.0ms (2%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5014	447

prune96.0ms (3.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

localize19.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
6.6b	(cbrt (* z (sin y)))
6.6b	(cbrt (* z (sin y)))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt z)

series88.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt z)
23.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))
18.0ms	(cbrt (sin y))

simplify67.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4907	280
1	4907	280

prune70.0ms (2.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	52	6	58

Merged error: 0.0b

Counts

58 → 6

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series79.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
20.0ms	(cbrt (sin y))
18.0ms	(cbrt (sin y))
18.0ms	(cbrt (sin y))

simplify50.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4991	490
1	4991	490

prune99.0ms (3.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

regimes236.0ms (8.3%)

Accuracy

Total 0.0b remaining (52.1%)

Threshold costs 0.0b (52.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms (0%)

sample1.4s (47.7%)

Algorithm

1×

intervals

Results

440.0ms	979×	body	1280	valid
375.0ms	5579×	body	80	valid
223.0ms	808×	body	640	valid
81.0ms	413×	body	320	valid
30.0ms	221×	body	160	valid

Details

analyze285.0ms (10.1%)

sample41.0ms (1.4%)

simplify9.0ms (0.3%)

prune7.0ms (0.2%)

localize9.0ms (0.3%)

rewrite4.0ms (0.2%)

series7.0ms (0.3%)

simplify42.0ms (1.5%)

prune44.0ms (1.6%)

localize13.0ms (0.5%)

rewrite17.0ms (0.6%)

series103.0ms (3.6%)

simplify57.0ms (2%)

prune96.0ms (3.4%)

localize19.0ms (0.7%)

rewrite9.0ms (0.3%)

series88.0ms (3.1%)

simplify67.0ms (2.4%)

prune70.0ms (2.5%)

localize13.0ms (0.5%)

rewrite13.0ms (0.5%)

series79.0ms (2.8%)

simplify50.0ms (1.8%)

prune99.0ms (3.5%)

regimes236.0ms (8.3%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.4s (47.7%)

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