Details

analyze267.0ms (7.9%)

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

sample58.0ms (1.7%)

Algorithm

1×

intervals

Results

20.0ms	44×	body	1280	valid
13.0ms	148×	body	80	valid
8.0ms	28×	body	640	valid
4.0ms	23×	body	320	valid
2.0ms	13×	body	160	valid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.1b

Counts

2 → 1

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series28.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (* x (cos y)) (* z (sin y)))
7.0ms	(* z (sin y))
7.0ms	(* x (cos y))

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5163	392

prune104.0ms (3.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	47	9	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	9	57

Merged error: 0.1b

Counts

57 → 9

localize13.0ms (0.4%)

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 (0.3%)

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

series93.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt z) (cbrt z))
25.0ms	(cbrt z)
21.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify45.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5165	356

prune139.0ms (4.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	82	12	94

Merged error: 0.0b

Counts

94 → 12

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.9b	(cbrt (* z (sin y)))
9.9b	(cbrt (* z (sin y)))
9.9b	(cbrt (* z (sin y)))

rewrite15.0ms (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 (sin y))) (cbrt (* z (sin y))))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series103.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
25.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))

simplify61.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5014	447

prune122.0ms (3.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	71	11	82

Merged error: 0.0b

Counts

82 → 11

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
9.9b	(cbrt (* z (sin y)))
9.9b	(cbrt (* z (sin y)))

rewrite8.0ms (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)

series86.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))
21.0ms	(cbrt z)
20.0ms	(cbrt (sin y))

simplify76.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4907	280
1	4907	280

prune62.0ms (1.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	51	12	63

Merged error: 0.0b

Counts

63 → 12

regimes249.0ms (7.4%)

Accuracy

Total 0.5b remaining (90.9%)

Threshold costs 0.5b (90.9%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	23
1	20	23

end0.0ms (0%)

sample1.7s (50.2%)

Algorithm

1×

intervals

Results

669.0ms	1445×	body	1280	valid
346.0ms	1218×	body	640	valid
288.0ms	4342×	body	80	valid
118.0ms	621×	body	320	valid
50.0ms	374×	body	160	valid

Details

analyze267.0ms (7.9%)

sample58.0ms (1.7%)

simplify3.0ms (0.1%)

prune7.0ms (0.2%)

localize10.0ms (0.3%)

rewrite13.0ms (0.4%)

series28.0ms (0.8%)

simplify66.0ms (2%)

prune104.0ms (3.1%)

localize13.0ms (0.4%)

rewrite11.0ms (0.3%)

series93.0ms (2.8%)

simplify45.0ms (1.3%)

prune139.0ms (4.1%)

localize14.0ms (0.4%)

rewrite15.0ms (0.4%)

series103.0ms (3.1%)

simplify61.0ms (1.8%)

prune122.0ms (3.6%)

localize18.0ms (0.5%)

rewrite8.0ms (0.3%)

series86.0ms (2.6%)

simplify76.0ms (2.3%)

prune62.0ms (1.9%)

regimes249.0ms (7.4%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.7s (50.2%)

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