Details

analyze278.0ms

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
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

sample45.0ms

Algorithm

intervals

Results

14.0ms	30×	body	1280	valid
11.0ms	180×	body	80	valid
7.0ms	25×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	226	9
1	226	9

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

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:

10.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(+ x (cos y))
4.0ms	(* z (sin y))

series26.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(- (+ x (cos y)) (* z (sin y)))
5.0ms	(+ x (cos y))
9.0ms	(* z (sin y))

simplify45.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5209	415

prune64.0ms

Filtered

37 candidates to 52 candidates (-40.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	5	53

Merged error: 0.0b

Counts

53 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

series94.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt z) (cbrt z))
22.0ms	(cbrt z)
24.0ms	(cbrt z)
22.0ms	(cbrt z)

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5165	356

prune90.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt (cbrt z))
2.0ms	(cbrt (cbrt z))

series107.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt z)
22.0ms	(cbrt z)
33.0ms	(cbrt (cbrt z))
30.0ms	(cbrt (cbrt z))

simplify36.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4926	282
1	4926	282

prune89.0ms

Filtered

46 candidates to 62 candidates (-34.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	61	6	67

Merged error: 0.0b

Counts

67 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt (cbrt z)))
0.6b	(cbrt (cbrt (cbrt z)))
0.6b	(cbrt (cbrt (cbrt z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

2.0ms	(cbrt (cbrt z))
2.0ms	(cbrt (cbrt (cbrt z)))
2.0ms	(cbrt (cbrt (cbrt z)))
2.0ms	(cbrt (cbrt (cbrt z)))

series127.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (cbrt z))
31.0ms	(cbrt (cbrt (cbrt z)))
31.0ms	(cbrt (cbrt (cbrt z)))
33.0ms	(cbrt (cbrt (cbrt z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5035	528

prune104.0ms

Filtered

61 candidates to 77 candidates (-26.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	77	6	83

Merged error: 0.0b

Counts

83 → 6

regimes250.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

440.0ms	974×	body	1280	valid
360.0ms	5615×	body	80	valid
231.0ms	819×	body	640	valid
72.0ms	384×	body	320	valid
27.0ms	208×	body	160	valid

Details

analyze278.0ms

sample45.0ms

simplify10.0ms

prune7.0ms

localize9.0ms

rewrite19.0ms

series26.0ms

simplify45.0ms

prune64.0ms

localize13.0ms

rewrite10.0ms

series94.0ms

simplify47.0ms

prune90.0ms

localize19.0ms

rewrite7.0ms

series107.0ms

simplify36.0ms

prune89.0ms

localize23.0ms

rewrite10.0ms

series127.0ms

simplify49.0ms

prune104.0ms

regimes250.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling