Details

analyze486.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
49.9%	49.9%	0.2%	2
49.9%	49.9%	0.2%	3
49.9%	49.9%	0.2%	4
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
53%	46.8%	0.2%	8
57.7%	42.1%	0.2%	9
61.6%	38.2%	0.2%	10
63.5%	30%	6.4%	11
63.5%	30%	6.4%	12
67.6%	25.9%	6.4%	13
68.9%	24.7%	6.4%	14

sample118.0ms

Algorithm

intervals

Results

21.0ms	56×	body	1280	invalid
21.0ms	36×	body	1280	valid
16.0ms	48×	body	640	valid
10.0ms	99×	body	80	invalid
9.0ms	35×	body	640	invalid
9.0ms	130×	body	80	valid
5.0ms	27×	body	320	valid
3.0ms	14×	body	320	invalid
2.0ms	15×	body	160	valid
1.0ms	9×	body	160	invalid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5412	15

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 17.1b

Counts

2 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* J (- (exp l) (exp (neg l))))
0.0b	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
6.8b	(- (exp l) (exp (neg l)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

9.0ms	(* J (- (exp l) (exp (neg l))))
9.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
5.0ms	(- (exp l) (exp (neg l)))

series40.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(* J (- (exp l) (exp (neg l))))
20.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
9.0ms	(- (exp l) (exp (neg l)))

simplify45.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4921	712
1	4921	712

prune104.0ms

Filtered

49 candidates to 68 candidates (-38.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	67	3	70

Merged error: 0.1b

Counts

70 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* J (* 2 (sinh l))) (cos (/ K 2.0))) U)
0.0b	(* J (* 2 (sinh l)))
0.0b	(sinh l)
0.2b	(* (* J (* 2 (sinh l))) (cos (/ K 2.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r/` `associate-r` `associate-l*`
3×	`sinh-def`
2×	`*-commutative`
1×	`+-commutative` `flip3-+` `associate-*l/` `sum-log` `flip-+`

Counts

4 → 60

Calls

4 calls:

8.0ms	(+ (* (* J (* 2 (sinh l))) (cos (/ K 2.0))) U)
5.0ms	(* J (* 2 (sinh l)))
1.0ms	(sinh l)
7.0ms	(* (* J (* 2 (sinh l))) (cos (/ K 2.0)))

series93.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* (* J (* 2 (sinh l))) (cos (/ K 2.0))) U)
13.0ms	(* J (* 2 (sinh l)))
10.0ms	(sinh l)
24.0ms	(* (* J (* 2 (sinh l))) (cos (/ K 2.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5048	727

prune135.0ms

Filtered

49 candidates to 72 candidates (-46.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	0	1	1
Picked	0	1	1
Done	1	0	1
Total	67	8	75

Merged error: 0.0b

Counts

75 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* J (* 2 (* (sinh l) (cos (/ K 2.0))))) U)
0.0b	(sinh l)
0.1b	(* J (* 2 (* (sinh l) (cos (/ K 2.0)))))
0.1b	(* (sinh l) (cos (/ K 2.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
4×	`associate-r`
3×	`sinh-def`
2×	`associate-r/` `associate-l/` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 60

Calls

4 calls:

8.0ms	(+ (* J (* 2 (* (sinh l) (cos (/ K 2.0))))) U)
1.0ms	(sinh l)
7.0ms	(* J (* 2 (* (sinh l) (cos (/ K 2.0)))))
5.0ms	(* (sinh l) (cos (/ K 2.0)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* J (* 2 (* (sinh l) (cos (/ K 2.0))))) U)
9.0ms	(sinh l)
24.0ms	(* J (* 2 (* (sinh l) (cos (/ K 2.0)))))
15.0ms	(* (sinh l) (cos (/ K 2.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4919	767
1	4919	767

prune132.0ms

Filtered

53 candidates to 72 candidates (-35.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	72	8	80

Merged error: 0b

Counts

80 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (sinh l) 2) (* J (cos (* K 0.5)))) U)
0.0b	(sinh l)
0.1b	(* (* (sinh l) 2) (* J (cos (* K 0.5))))
0.1b	(* J (cos (* K 0.5)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`sinh-def` `associate-l/` `-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 60

Calls

4 calls:

8.0ms	(+ (* (* (sinh l) 2) (* J (cos (* K 0.5)))) U)
1.0ms	(sinh l)
7.0ms	(* (* (sinh l) 2) (* J (cos (* K 0.5))))
4.0ms	(* J (cos (* K 0.5)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* (* (sinh l) 2) (* J (cos (* K 0.5)))) U)
7.0ms	(sinh l)
25.0ms	(* (* (sinh l) 2) (* J (cos (* K 0.5))))
7.0ms	(* J (cos (* K 0.5)))

simplify48.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4930	735
1	4930	735

prune93.0ms

Filtered

48 candidates to 72 candidates (-50.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	72	8	80

Merged error: 0b

Counts

80 → 8

regimes493.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	13
1	47	13

end0.0ms

sample3.5s

Algorithm

intervals

Results

711.0ms	1230×	body	1280	valid
591.0ms	1493×	body	1280	invalid
452.0ms	1347×	body	640	valid
329.0ms	1211×	body	640	invalid
296.0ms	4156×	body	80	valid
235.0ms	3264×	body	80	invalid
177.0ms	813×	body	320	valid
130.0ms	621×	body	320	invalid
71.0ms	454×	body	160	valid
43.0ms	294×	body	160	invalid

Details

analyze486.0ms

sample118.0ms

simplify87.0ms

prune14.0ms

localize13.0ms

rewrite24.0ms

series40.0ms

simplify45.0ms

prune104.0ms

localize11.0ms

rewrite23.0ms

series93.0ms

simplify55.0ms

prune135.0ms

localize11.0ms

rewrite23.0ms

series91.0ms

simplify68.0ms

prune132.0ms

localize11.0ms

rewrite23.0ms

series83.0ms

simplify48.0ms

prune93.0ms

regimes493.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.5s

Profiling