Details

analyze258.0ms (7.7%)

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

sample57.0ms (1.7%)

Algorithm

1×

intervals

Results

22.0ms	49×	body	1280	valid
10.0ms	34×	body	640	valid
10.0ms	147×	body	80	valid
4.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	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: 0.2b

Counts

2 → 1

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (cos y)) (* z (sin y)))
0.1b	(* x (cos y))
0.2b	(* z (sin y))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

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

series35.0ms (1%)

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (* x (cos y)) (* z (sin y)))
8.0ms	(* z (sin y))
7.0ms	(* x (cos y))

simplify56.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5163	392

prune105.0ms (3.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	46	10	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	10	57

Merged error: 0.0b

Counts

57 → 10

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite11.0ms (0.3%)

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:

5.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series79.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))

simplify45.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5025	459

prune144.0ms (4.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	84	11	95

Merged error: 0.0b

Counts

95 → 11

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(* z (sin y))
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`cbrt-prod` `cbrt-unprod`
5×	`pow-exp`
4×	`associate-l` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

10.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
4.0ms	(* z (sin y))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series34.0ms (1%)

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt (cos y))
7.0ms	(* z (sin y))
7.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)

simplify57.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4903	441
1	4903	441

prune174.0ms (5.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	83	12	95

Merged error: 0.0b

Counts

95 → 12

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (cos y) 2))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 66

Calls

4 calls:

7.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
2.0ms	(cbrt (pow (cos y) 2))
1.0ms	(cbrt (cos y))

series54.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (pow (cos y) 2))
17.0ms	(cbrt (cos y))
7.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)

simplify36.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4905	521
1	4905	521

prune122.0ms (3.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	79	11	90

Merged error: 0.0b

Counts

90 → 11

regimes242.0ms (7.2%)

Accuracy

Total 0.2b remaining (87.2%)

Threshold costs 0.2b (87.2%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms (0%)

sample1.7s (51.9%)

Algorithm

1×

intervals

Results

704.0ms	1523×	body	1280	valid
362.0ms	1252×	body	640	valid
291.0ms	4277×	body	80	valid
129.0ms	641×	body	320	valid
43.0ms	307×	body	160	valid

Details

analyze258.0ms (7.7%)

sample57.0ms (1.7%)

simplify3.0ms (0.1%)

prune7.0ms (0.2%)

localize9.0ms (0.3%)

rewrite13.0ms (0.4%)

series35.0ms (1%)

simplify56.0ms (1.7%)

prune105.0ms (3.1%)

localize13.0ms (0.4%)

rewrite11.0ms (0.3%)

series79.0ms (2.3%)

simplify45.0ms (1.3%)

prune144.0ms (4.3%)

localize16.0ms (0.5%)

rewrite20.0ms (0.6%)

series34.0ms (1%)

simplify57.0ms (1.7%)

prune174.0ms (5.2%)

localize14.0ms (0.4%)

rewrite14.0ms (0.4%)

series54.0ms (1.6%)

simplify36.0ms (1.1%)

prune122.0ms (3.6%)

regimes242.0ms (7.2%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.7s (51.9%)

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