Details

analyze366.0ms (12.4%)

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
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

sample47.0ms (1.6%)

Algorithm

1×

intervals

Results

13.0ms	29×	body	1280	valid
10.0ms	177×	body	80	valid
10.0ms	34×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	4×	body	160	valid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

prune8.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	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 2 expressions with local error:

0.0b	(+ (sin y) (* z (cos y)))
0.1b	(* z (cos y))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 29

Calls

2 calls:

4.0ms	(* z (cos y))
3.0ms	(+ (sin y) (* z (cos y)))

series20.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (sin y) (* z (cos y)))
7.0ms	(* z (cos y))

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4785	255
1	4785	255

prune58.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Merged error: 0.0b

Counts

36 → 5

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.5b	(cbrt (* z (cos y)))
0.5b	(cbrt (* z (cos y)))
0.5b	(cbrt (* z (cos y)))

rewrite13.0ms (0.4%)

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 (cos y))) (cbrt (* z (cos y))))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))

series98.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
24.0ms	(cbrt (* z (cos y)))
22.0ms	(cbrt (* z (cos y)))
22.0ms	(cbrt (* z (cos y)))

simplify45.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4968	438
1	4968	438

prune106.0ms (3.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	68	7	75

Merged error: 0.0b

Counts

75 → 7

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (* (cbrt (* z (cos y))) (cbrt (cos y))))
0.5b	(cbrt (* z (cos y)))
0.5b	(cbrt (* z (cos y)))
0.6b	(cbrt z)

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1` `add-exp-log`
8×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1/3` `associate-l`
5×	`pow-prod-down` `add-cbrt-cube`
4×	`add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 51

Calls

4 calls:

7.0ms	(* (cbrt z) (* (cbrt (* z (cos y))) (cbrt (cos y))))
3.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
1.0ms	(cbrt z)

series100.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cbrt z) (* (cbrt (* z (cos y))) (cbrt (cos y))))
25.0ms	(cbrt (* z (cos y)))
22.0ms	(cbrt (* z (cos y)))
21.0ms	(cbrt z)

simplify52.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5118	419

prune95.0ms (3.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	63	7	70

Merged error: 0.0b

Counts

70 → 7

localize20.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* z (cos y)))
0.5b	(cbrt (* z (cos y)))
0.5b	(cbrt (* z (cos y)))
0.5b	(cbrt (* z (cos y)))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

3.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))

series92.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt (* z (cos y)))
23.0ms	(cbrt (* z (cos y)))
22.0ms	(cbrt (* z (cos y)))
22.0ms	(cbrt (* z (cos y)))

simplify48.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4874	308
1	4874	308

prune71.0ms (2.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	47	8	55

Merged error: 0b

Counts

55 → 8

regimes204.0ms (6.9%)

Accuracy

Total 0.0b remaining (59.1%)

Threshold costs 0.0b (59.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms (0%)

sample1.4s (46.7%)

Algorithm

1×

intervals

Results

460.0ms	993×	body	1280	valid
345.0ms	5515×	body	80	valid
257.0ms	872×	body	640	valid
88.0ms	414×	body	320	valid
28.0ms	206×	body	160	valid

Details

analyze366.0ms (12.4%)

sample47.0ms (1.6%)

simplify3.0ms (0.1%)

prune8.0ms (0.3%)

localize9.0ms (0.3%)

rewrite8.0ms (0.3%)

series20.0ms (0.7%)

simplify58.0ms (2%)

prune58.0ms (2%)

localize14.0ms (0.5%)

rewrite13.0ms (0.4%)

series98.0ms (3.3%)

simplify45.0ms (1.5%)

prune106.0ms (3.6%)

localize17.0ms (0.6%)

rewrite14.0ms (0.5%)

series100.0ms (3.4%)

simplify52.0ms (1.8%)

prune95.0ms (3.2%)

localize20.0ms (0.7%)

rewrite10.0ms (0.3%)

series92.0ms (3.1%)

simplify48.0ms (1.6%)

prune71.0ms (2.4%)

regimes204.0ms (6.9%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.4s (46.7%)

Profiling