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

sample52.0ms

Algorithm

intervals

Results

26.0ms	247×	body	80	valid
2.0ms	5×	body	640	valid
2.0ms	5×	body	640	invalid
1.0ms	2×	body	1280	invalid
1.0ms	9×	body	80	invalid
1.0ms	1×	body	1280	valid
1.0ms	2×	body	320	invalid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	invalid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4986	28
1	4986	28

prune17.0ms

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

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
0.0b	(* (cos (- (* K (/ (+ m n) 2.0)) M)) (exp (- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))))
0.0b	(* K (/ (+ m n) 2.0))
31.2b	(cos (- (* K (/ (+ m n) 2.0)) M))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
20×	`associate-r`
17×	`add-cube-cbrt`
14×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
6×	`unpow-prod-down` `associate-l`
4×	`add-log-exp`
3×	`pow-unpow` `prod-exp` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
2×	`sub-neg` `associate-r/` `pow-prod-down` `-commutative` `difference-of-squares`
1×	`cbrt-undiv` `cos-diff` `pow-to-exp` `cos-sum` `pow-pow` `exp-diff` `div-exp` `exp-sum` `pow-exp` `div-inv` `distribute-lft-out--` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

10.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
19.0ms	(* (cos (- (* K (/ (+ m n) 2.0)) M)) (exp (- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))))
9.0ms	(* K (/ (+ m n) 2.0))
8.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

series234.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
167.0ms	(* (cos (- (* K (/ (+ m n) 2.0)) M)) (exp (- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))))
8.0ms	(* K (/ (+ m n) 2.0))
20.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

simplify43.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5274	1471

prune236.0ms

Filtered

69 candidates to 96 candidates (-39.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	88	8	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	8	97

Merged error: 1.6b

Counts

97 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* K (/ (+ m n) 2.0))
0.0b	(log (pow (exp (cos (- (* K (/ (+ m n) 2.0)) M))) (exp (- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)))))
0.1b	(exp (cos (- (* K (/ (+ m n) 2.0)) M)))
31.2b	(cos (- (* K (/ (+ m n) 2.0)) M))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `associate-r`
13×	`times-frac`
10×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`log-prod`
6×	`pow1`
5×	`add-log-exp`
4×	`unpow-prod-down`
3×	`cos-diff` `exp-prod` `rem-log-exp` `associate-l` `distribute-lft-out`
2×	`sub-neg` `cos-sum` `exp-sum` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `pow-to-exp` `exp-diff` `associate-r/` `div-exp` `pow-prod-down` `pow-exp` `log-pow` `-commutative` `div-inv` `rem-exp-log` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

10.0ms	(* K (/ (+ m n) 2.0))
9.0ms	(log (pow (exp (cos (- (* K (/ (+ m n) 2.0)) M))) (exp (- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)))))
9.0ms	(exp (cos (- (* K (/ (+ m n) 2.0)) M)))
8.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

series305.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* K (/ (+ m n) 2.0))
242.0ms	(log (pow (exp (cos (- (* K (/ (+ m n) 2.0)) M))) (exp (- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)))))
32.0ms	(exp (cos (- (* K (/ (+ m n) 2.0)) M)))
21.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

simplify39.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4996	1459
1	4996	1459

prune237.0ms

Filtered

64 candidates to 88 candidates (-37.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	87	9	96

Merged error: 1.6b

Counts

96 → 9

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (cos (- (* K (/ (+ m n) 2.0)) M)))
0.1b	(exp (cos (- (* K (/ (+ m n) 2.0)) M)))
31.2b	(cos (- (* K (/ (+ m n) 2.0)) M))
31.2b	(cos (- (* K (/ (+ m n) 2.0)) M))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `exp-prod` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-exp-log` `cos-diff` `sub-neg` `cos-sum` `add-cbrt-cube`
2×	`exp-diff` `exp-sum` `rem-exp-log`

Counts

4 → 44

Calls

4 calls:

11.0ms	(exp (cos (- (* K (/ (+ m n) 2.0)) M)))
9.0ms	(exp (cos (- (* K (/ (+ m n) 2.0)) M)))
8.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))
8.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

series105.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(exp (cos (- (* K (/ (+ m n) 2.0)) M)))
32.0ms	(exp (cos (- (* K (/ (+ m n) 2.0)) M)))
20.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))
20.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

simplify52.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4854	722
1	4854	722

prune288.0ms

Filtered

46 candidates to 56 candidates (-21.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	56	9	65

Merged error: 1.6b

Counts

65 → 9

localize14.0ms

Local error

Found 2 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)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

14.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
10.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

series80.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
41.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify25.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5087	706

prune277.0ms

Filtered

31 candidates to 42 candidates (-35.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	42	9	51

Merged error: 1.6b

Counts

51 → 9

regimes539.0ms

Accuracy

0% (0.2b remaining)

Error of 1.3b against oracle of 1.1b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	68	30
1	68	30

end0.0ms

sample1.4s

Algorithm

intervals

Results

845.0ms	7818×	body	80	valid
54.0ms	83×	body	1280	invalid
38.0ms	89×	body	640	invalid
38.0ms	51×	body	1280	valid
34.0ms	66×	body	640	valid
29.0ms	274×	body	80	invalid
21.0ms	67×	body	320	invalid
13.0ms	40×	body	320	valid
7.0ms	33×	body	160	invalid
5.0ms	25×	body	160	valid
4.0ms	4×	body	2560	invalid

Details

analyze2.4s

sample52.0ms

simplify43.0ms

prune17.0ms

localize20.0ms

rewrite50.0ms

series234.0ms

simplify43.0ms

prune236.0ms

localize23.0ms

rewrite38.0ms

series305.0ms

simplify39.0ms

prune237.0ms

localize28.0ms

rewrite37.0ms

series105.0ms

simplify52.0ms

prune288.0ms

localize14.0ms

rewrite25.0ms

series80.0ms

simplify25.0ms

prune277.0ms

regimes539.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling