Details

analyze2.3s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12
18.7%	81.1%	0.2%	13
20.5%	79.3%	0.2%	14

sample50.0ms

Algorithm

intervals

Results

26.0ms	249×	body	80	valid
2.0ms	5×	body	640	valid
1.0ms	13×	body	80	invalid
1.0ms	4×	body	320	invalid
1.0ms	2×	body	640	invalid
1.0ms	1×	body	1280	valid
1.0ms	1×	body	1280	invalid
0.0ms	1×	body	320	valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5355	28

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 16.1b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos (- (* K (/ (+ m n) 2.0)) M)) (exp (- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))))
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
0.0b	(exp (- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)))
35.5b	(cos (- (* K (/ (+ m n) 2.0)) M))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `unpow-prod-down` `exp-prod` `add-cbrt-cube`
4×	`associate-r`
3×	`sub-neg` `pow-unpow` `associate-l` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`
2×	`exp-diff` `diff-log` `exp-sum`
1×	`cos-diff` `pow-to-exp` `cos-sum` `pow-pow` `times-frac` `associate-r/` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

21.0ms	(* (cos (- (* K (/ (+ m n) 2.0)) M)) (exp (- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))))
10.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
17.0ms	(exp (- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)))
7.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

series273.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cos (- (* K (/ (+ m n) 2.0)) M)) (exp (- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))))
40.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
51.0ms	(exp (- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)))
22.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

simplify45.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5081	1489

prune179.0ms

Filtered

60 candidates to 79 candidates (-31.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	4	80

Merged error: 1.5b

Counts

80 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
0.0b	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
0.0b	(exp (- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
17×	`add-log-exp`
16×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`unpow-prod-down` `exp-prod`
5×	`pow1` `add-exp-log` `distribute-lft-out--`
4×	`diff-log` `add-cbrt-cube` `difference-of-squares`
3×	`pow-unpow` `sum-log` `rem-exp-log` `distribute-lft-out`
2×	`sub-neg`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `flip3-+` `times-frac` `exp-diff` `exp-sum` `pow-exp` `flip--` `flip-+` `associate--r+` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

13.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
15.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
10.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
18.0ms	(exp (- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
39.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
38.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
52.0ms	(exp (- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)))

simplify43.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4970	1265
1	4970	1265

prune136.0ms

Filtered

58 candidates to 78 candidates (-34.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	78	4	82

Merged error: 1.5b

Counts

82 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (/ (+ m n) 2.0) M))
0.6b	(cbrt (- (/ (+ m n) 2.0) M))
0.6b	(cbrt (- (/ (+ m n) 2.0) M))
35.5b	(cos (- (* K (/ (+ m n) 2.0)) M))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

9.0ms	(cbrt (- (/ (+ m n) 2.0) M))
9.0ms	(cbrt (- (/ (+ m n) 2.0) M))
9.0ms	(cbrt (- (/ (+ m n) 2.0) M))
7.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

series136.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (- (/ (+ m n) 2.0) M))
37.0ms	(cbrt (- (/ (+ m n) 2.0) M))
38.0ms	(cbrt (- (/ (+ m n) 2.0) M))
22.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

simplify61.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5240	948

prune252.0ms

Filtered

62 candidates to 69 candidates (-11.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	68	5	73

Merged error: 1.5b

Counts

73 → 5

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (/ (+ m n) 2.0) M))
0.6b	(cbrt (- (/ (+ m n) 2.0) M))
0.6b	(cbrt (cbrt (- (/ (+ m n) 2.0) M)))
35.5b	(cos (- (* K (/ (+ m n) 2.0)) M))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

10.0ms	(cbrt (- (/ (+ m n) 2.0) M))
9.0ms	(cbrt (- (/ (+ m n) 2.0) M))
10.0ms	(cbrt (cbrt (- (/ (+ m n) 2.0) M)))
7.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

series132.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt (- (/ (+ m n) 2.0) M))
38.0ms	(cbrt (- (/ (+ m n) 2.0) M))
37.0ms	(cbrt (cbrt (- (/ (+ m n) 2.0) M)))
21.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

simplify40.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5223	1005

prune305.0ms

Filtered

62 candidates to 72 candidates (-16.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	72	5	77

Merged error: 1.5b

Counts

77 → 5

regimes390.0ms

Accuracy

0% (0.2b remaining)

Error of 1.2b against oracle of 1.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	17
1	20	17

end0.0ms

analyze2.3s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12
18.7%	81.1%	0.2%	13
20.5%	79.3%	0.2%	14

sample1.4s

Algorithm

intervals

Results

845.0ms	7852×	body	80	valid
41.0ms	85×	body	640	invalid
40.0ms	66×	body	1280	invalid
29.0ms	285×	body	80	invalid
29.0ms	64×	body	640	valid
23.0ms	58×	body	320	invalid
21.0ms	32×	body	1280	valid
16.0ms	37×	body	320	valid
7.0ms	34×	body	160	invalid
4.0ms	4×	body	2560	invalid
3.0ms	15×	body	160	valid

Details

analyze2.3s

sample50.0ms

simplify33.0ms

prune12.0ms

localize26.0ms

rewrite57.0ms

series273.0ms

simplify45.0ms

prune179.0ms

localize14.0ms

rewrite58.0ms

series163.0ms

simplify43.0ms

prune136.0ms

localize28.0ms

rewrite36.0ms

series136.0ms

simplify61.0ms

prune252.0ms

localize34.0ms

rewrite38.0ms

series132.0ms

simplify40.0ms

prune305.0ms

regimes390.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze2.3s

sample1.4s

Profiling