Details

analyze748.0ms

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
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	9
74.9%	25%	0.1%	10
74.9%	25%	0.1%	11
74.9%	25%	0.1%	12
74.9%	25%	0.1%	13
74.9%	25%	0.1%	14

sample226.0ms

Algorithm

intervals

Results

133.0ms	98×	body	1280	valid
51.0ms	56×	body	640	valid
13.0ms	70×	body	80	valid
11.0ms	19×	body	320	valid
5.0ms	13×	body	160	valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	74	30
1	182	30
2	657	30
3	2727	30
4	5001	30

prune5.0ms

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: 0.5b

Counts

2 → 1

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.4b	(- (cos x) (cos y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
8×	`add-cube-cbrt` `add-log-exp`
7×	`associate-l` `difference-of-squares`
6×	`sub-neg`
5×	`sqrt-prod`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`times-frac` `diff-log` `associate-l/` `-commutative` `unswap-sqr`
1×	`diff-cos`

Counts

4 → 94

Calls

4 calls:

17.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
7.0ms	(- (cos x) (cos y))

series43.0ms

Counts

4 → 10

Calls

4 calls:

22.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
12.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))

simplify65.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	622	1094
1	2643	1002
2	5003	1002

prune287.0ms

Filtered

70 candidates to 104 candidates (-48.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	95	9	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	9	105

Merged error: 0.3b

Counts

105 → 9

localize38.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
1.0b	(- 3.0 (sqrt 5.0))
2.4b	(- (cos x) (cos y))
6.6b	(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cube-div` `associate-*r/`
14×	`flip3--` `flip--`
12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`cbrt-prod` `frac-times` `cbrt-div` `add-log-exp`
6×	`add-cube-cbrt`
4×	`associate-*l/`
3×	`pow-unpow` `pow-pow` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `difference-of-squares`
2×	`cube-mult` `sub-neg` `unpow-prod-down` `diff-log` `unpow3` `cube-prod` `distribute-lft-out--` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `sqrt-prod` `rem-cbrt-cube` `diff-cos`

Counts

4 → 88

Calls

4 calls:

17.0ms	(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))
5.0ms	(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

series92.0ms

Counts

4 → 10

Calls

4 calls:

62.0ms	(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
0.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))
22.0ms	(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

simplify74.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	696	1370
1	3154	1289
2	5001	1289

prune315.0ms

Filtered

72 candidates to 98 candidates (-36.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	98	9	107

Merged error: 0.3b

Counts

107 → 9

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.4b	(- (cos x) (cos y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

36×	`associate-*r/`
35×	`flip3--` `flip--`
32×	`frac-times`
27×	`add-sqr-sqrt`
20×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`associate-r`
17×	`*-un-lft-identity`
16×	`associate-*l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt`
8×	`associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp` `difference-of-squares`
4×	`sqrt-prod` `distribute-lft-out--`
3×	`*-commutative`
2×	`times-frac` `diff-cos` `unswap-sqr`
1×	`diff-log`

Counts

4 → 133

Calls

4 calls:

22.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
16.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
10.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- (cos x) (cos y))

series79.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
24.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
12.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms	(- (cos x) (cos y))

simplify131.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	848	2481
1	4931	2282
2	5002	2282

prune458.0ms

Filtered

101 candidates to 145 candidates (-43.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	144	10	154

Merged error: 0.3b

Counts

154 → 10

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.4b	(- (cos x) (cos y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`cbrt-prod`
8×	`add-log-exp`
7×	`difference-of-squares`
6×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-div` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--`
2×	`sub-neg` `times-frac` `pow1/3` `diff-log`
1×	`sqrt-prod` `diff-cos`

Counts

4 → 62

Calls

4 calls:

6.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
6.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series60.0ms

Counts

4 → 10

Calls

4 calls:

26.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
24.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))

simplify57.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	306	596
1	686	562
2	1839	550
3	5002	544

prune241.0ms

Filtered

56 candidates to 72 candidates (-28.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	72	10	82

Merged error: 0.3b

Counts

82 → 10

regimes186.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	57
1	51	57

end0.0ms

analyze744.0ms

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
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	9
74.9%	25%	0.1%	10
74.9%	25%	0.1%	11
74.9%	25%	0.1%	12
74.9%	25%	0.1%	13
74.9%	25%	0.1%	14

sample6.4s

Algorithm

intervals

Results

3.6s	2725×	body	1280	valid
1.6s	1843×	body	640	valid
448.0ms	2348×	body	80	valid
446.0ms	756×	body	320	valid
128.0ms	328×	body	160	valid

Details

analyze748.0ms

sample226.0ms

simplify52.0ms

prune5.0ms

localize32.0ms

rewrite41.0ms

series43.0ms

simplify65.0ms

prune287.0ms

localize38.0ms

rewrite32.0ms

series92.0ms

simplify74.0ms

prune315.0ms

localize37.0ms

rewrite57.0ms

series79.0ms

simplify131.0ms

prune458.0ms

localize42.0ms

rewrite23.0ms

series60.0ms

simplify57.0ms

prune241.0ms

regimes186.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze744.0ms

sample6.4s

Profiling