Details

analyze317.0ms

Algorithm

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
25%	74.9%	0.1%	6
49.9%	49.9%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
71.8%	28.1%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
85%	14.8%	0.1%	13
87.8%	12.1%	0.1%	14

sample84.0ms

Algorithm

intervals

Results

22.0ms	45×	body	1280	valid
11.0ms	37×	body	640	valid
10.0ms	147×	body	80	valid
4.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

prune4.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

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	(+ (* x (sin y)) (* z (cos y)))
8.0ms	(* z (cos y))
4.0ms	(* x (sin y))

series33.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (* x (sin y)) (* z (cos y)))
8.0ms	(* z (cos y))
8.0ms	(* x (sin y))

simplify56.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5167	396

prune99.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	48	8	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	8	57

Merged error: 0.0b

Counts

57 → 8

localize15.0ms

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))

rewrite12.0ms

Algorithm

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))

series77.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
17.0ms	(cbrt (sin y))
17.0ms	(cbrt (sin y))
18.0ms	(cbrt (sin y))

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4991	490
1	4991	490

prune114.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize15.0ms

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)

rewrite10.0ms

Algorithm

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)

series88.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (cbrt z) (cbrt z))
22.0ms	(cbrt z)
21.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5165	356

prune106.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

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

Merged error: 0.0b

Counts

93 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.9b	(pow (cbrt (cbrt (sin y))) 4)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
4.0ms	(pow (cbrt (cbrt (sin y))) 4)

series81.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt (sin y))
19.0ms	(cbrt (sin y))
17.0ms	(cbrt (sin y))
26.0ms	(pow (cbrt (cbrt (sin y))) 4)

simplify34.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4847	439
1	4847	439

prune91.0ms

Filtered

44 candidates to 69 candidates (-56.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

regimes331.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	15	18

end0.0ms

sample2.7s

Algorithm

intervals

Results

718.0ms	1482×	body	1280	valid
382.0ms	1274×	body	640	valid
281.0ms	4272×	body	80	valid
134.0ms	646×	body	320	valid
46.0ms	326×	body	160	valid

Details

analyze317.0ms

sample84.0ms

simplify3.0ms

prune4.0ms

localize11.0ms

rewrite17.0ms

series33.0ms

simplify56.0ms

prune99.0ms

localize15.0ms

rewrite12.0ms

series77.0ms

simplify53.0ms

prune114.0ms

localize15.0ms

rewrite10.0ms

series88.0ms

simplify47.0ms

prune106.0ms

localize21.0ms

rewrite10.0ms

series81.0ms

simplify34.0ms

prune91.0ms

regimes331.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.7s

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