Details

analyze285.0ms (9.5%)

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

sample53.0ms (1.8%)

Algorithm

1×

intervals

Results

21.0ms	40×	body	1280	valid
11.0ms	171×	body	80	valid
6.0ms	23×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	11×	body	160	valid

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	226	9
1	226	9

prune7.0ms (0.2%)

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: 0.1b

Counts

2 → 1

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

6.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))
3.0ms	(+ x (cos y))

series25.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(- (+ x (cos y)) (* z (sin y)))
8.0ms	(* z (sin y))
5.0ms	(+ x (cos y))

simplify50.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5209	415

prune88.0ms (2.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	8	53

Merged error: 0.0b

Counts

53 → 8

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite12.0ms (0.4%)

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)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series79.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
21.0ms	(cbrt (sin y))
18.0ms	(cbrt (sin y))
18.0ms	(cbrt (sin y))

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4991	490
1	4991	490

prune123.0ms (4.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms (0.4%)

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 z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series93.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt z) (cbrt z))
22.0ms	(cbrt z)
22.0ms	(cbrt z)
22.0ms	(cbrt z)

simplify45.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5165	356

prune125.0ms (4.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.3b	(cbrt (* z (sin y)))
8.3b	(cbrt (* z (sin y)))
8.3b	(cbrt (* z (sin y)))

rewrite15.0ms (0.5%)

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

series104.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
26.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))

simplify60.0ms (2%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5014	447

prune84.0ms (2.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	2	4	6
Picked	0	1	1
Done	1	2	3
Total	72	8	80

Merged error: 0.0b

Counts

80 → 8

regimes276.0ms (9.2%)

Accuracy

Total 0.0b remaining (63.1%)

Threshold costs 0.0b (63.1%)

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%)

sample1.3s (44.6%)

Algorithm

1×

intervals

Results

460.0ms	1006×	body	1280	valid
348.0ms	5583×	body	80	valid
218.0ms	784×	body	640	valid
81.0ms	405×	body	320	valid
29.0ms	222×	body	160	valid

Details

analyze285.0ms (9.5%)

sample53.0ms (1.8%)

simplify11.0ms (0.4%)

prune7.0ms (0.2%)

localize9.0ms (0.3%)

rewrite14.0ms (0.5%)

series25.0ms (0.8%)

simplify50.0ms (1.7%)

prune88.0ms (2.9%)

localize13.0ms (0.4%)

rewrite12.0ms (0.4%)

series79.0ms (2.6%)

simplify51.0ms (1.7%)

prune123.0ms (4.1%)

localize15.0ms (0.5%)

rewrite11.0ms (0.4%)

series93.0ms (3.1%)

simplify45.0ms (1.5%)

prune125.0ms (4.2%)

localize14.0ms (0.5%)

rewrite15.0ms (0.5%)

series104.0ms (3.5%)

simplify60.0ms (2%)

prune84.0ms (2.8%)

regimes276.0ms (9.2%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.3s (44.6%)

Profiling