Details

analyze2.4s

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

sample56.0ms

Algorithm

intervals

Results

26.0ms	247×	body	80	valid
2.0ms	4×	body	1280	invalid
1.0ms	5×	body	320	valid
1.0ms	2×	body	1280	valid
1.0ms	4×	body	320	invalid
1.0ms	2×	body	640	invalid
1.0ms	7×	body	80	invalid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4986	28
1	4986	28

prune13.0ms

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: 17.4b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* K (/ (+ m n) 2.0)) M)
0.0b	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
35.0b	(cos (- (* K (/ (+ m n) 2.0)) M))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-log-exp`
6×	`add-cube-cbrt` `unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`pow-unpow`
2×	`sub-neg` `difference-of-squares`
1×	`+-commutative` `cos-diff` `pow-to-exp` `cos-sum` `flip3--` `pow-pow` `flip3-+` `times-frac` `diff-log` `pow-exp` `sum-log` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `sqr-pow`

Counts

4 → 52

Calls

4 calls:

7.0ms	(- (* K (/ (+ m n) 2.0)) M)
13.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
13.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
8.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

series113.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (* K (/ (+ m n) 2.0)) M)
39.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
40.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
21.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

simplify57.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4911	857
1	4911	857

prune171.0ms

Filtered

50 candidates to 64 candidates (-28.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	4	65

Merged error: 1.8b

Counts

65 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

16.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
13.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
10.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

series120.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
36.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
41.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify43.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4929	925
1	4929	925

prune121.0ms

Filtered

43 candidates to 57 candidates (-32.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	57	4	61

Merged error: 1.8b

Counts

61 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

15.0b	(cbrt (- (* K (/ (+ m n) 2.0)) M))
15.0b	(cbrt (- (* K (/ (+ m n) 2.0)) M))
15.0b	(cbrt (- (* K (/ (+ m n) 2.0)) M))
44.3b	(cos (* (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (cbrt (- (* K (/ (+ m n) 2.0)) M))) (cbrt (- (* K (/ (+ m n) 2.0)) M))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--`

Counts

4 → 46

Calls

4 calls:

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

series195.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
58.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
56.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
22.0ms	(cos (* (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (cbrt (- (* K (/ (+ m n) 2.0)) M))) (cbrt (- (* K (/ (+ m n) 2.0)) M))))

simplify39.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5152	873

prune232.0ms

Filtered

52 candidates to 58 candidates (-11.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	56	6	62

Merged error: 1.8b

Counts

62 → 6

localize31.0ms

Local error

Found 4 expressions with local error:

15.0b	(cbrt (- (* K (/ (+ m n) 2.0)) M))
15.0b	(cbrt (- (* K (/ (+ m n) 2.0)) M))
15.0b	(cbrt (- (* K (/ (+ m n) 2.0)) M))
43.4b	(cos (* (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (cbrt (- (* K (/ (+ m n) 2.0)) M))) (* (cbrt (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (cbrt (- (* K (/ (+ m n) 2.0)) M)))) (cbrt (cbrt (- (* K (/ (+ m n) 2.0)) M))))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--`

Counts

4 → 46

Calls

4 calls:

9.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
7.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
7.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
25.0ms	(cos (* (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (cbrt (- (* K (/ (+ m n) 2.0)) M))) (* (cbrt (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (cbrt (- (* K (/ (+ m n) 2.0)) M)))) (cbrt (cbrt (- (* K (/ (+ m n) 2.0)) M))))))

series197.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
59.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
56.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
23.0ms	(cos (* (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (cbrt (- (* K (/ (+ m n) 2.0)) M))) (* (cbrt (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (cbrt (- (* K (/ (+ m n) 2.0)) M)))) (cbrt (cbrt (- (* K (/ (+ m n) 2.0)) M))))))

simplify40.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5120	1249

prune307.0ms

Filtered

53 candidates to 58 candidates (-9.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	1	2	3
Picked	1	0	1
Done	1	1	2
Total	57	7	64

Merged error: 1.7b

Counts

64 → 7

regimes564.0ms

Accuracy

0% (0.2b remaining)

Error of 1.5b against oracle of 1.3b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	17
1	61	17

end0.0ms

sample1.4s

Algorithm

intervals

Results

847.0ms	7799×	body	80	valid
39.0ms	66×	body	1280	invalid
36.0ms	81×	body	640	valid
32.0ms	50×	body	1280	valid
29.0ms	70×	body	640	invalid
27.0ms	267×	body	80	invalid
20.0ms	66×	body	320	invalid
13.0ms	43×	body	320	valid
6.0ms	29×	body	160	invalid
6.0ms	27×	body	160	valid
4.0ms	4×	body	2560	invalid

Details

analyze2.4s

sample56.0ms

simplify42.0ms

prune13.0ms

localize20.0ms

rewrite42.0ms

series113.0ms

simplify57.0ms

prune171.0ms

localize14.0ms

rewrite40.0ms

series120.0ms

simplify43.0ms

prune121.0ms

localize25.0ms

rewrite31.0ms

series195.0ms

simplify39.0ms

prune232.0ms

localize31.0ms

rewrite49.0ms

series197.0ms

simplify40.0ms

prune307.0ms

regimes564.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling