Details

analyze499.0ms

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

sample121.0ms

Algorithm

intervals

Results

25.0ms	42×	body	1280	valid
21.0ms	53×	body	1280	invalid
15.0ms	43×	body	640	valid
11.0ms	116×	body	80	invalid
10.0ms	37×	body	640	invalid
9.0ms	137×	body	80	valid
5.0ms	21×	body	320	valid
3.0ms	14×	body	320	invalid
2.0ms	13×	body	160	valid
1.0ms	5×	body	160	invalid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4815	15
1	4815	15

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 17.8b

Counts

2 → 1

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)))
6.3b	(- (exp l) (exp (neg l)))

rewrite25.0ms

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:

10.0ms	(* 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)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(* J (- (exp l) (exp (neg l))))
21.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
5.0ms	(- (exp l) (exp (neg l)))

simplify56.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5019	714

prune89.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

69 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

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

series83.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (* (* J (* 2 (sinh l))) (cos (/ K 2.0))) U)
13.0ms	(* J (* 2 (sinh l)))
25.0ms	(* (* J (* 2 (sinh l))) (cos (/ K 2.0)))

simplify31.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5764	680

prune99.0ms

Filtered

40 candidates to 61 candidates (-52.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	6	62

Merged error: 0.0b

Counts

62 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

8.0ms	(+ (* J (* 2 (* (sinh l) (cos (/ K 2.0))))) U)
8.0ms	(* J (* 2 (* (sinh l) (cos (/ K 2.0)))))
4.0ms	(* (sinh l) (cos (/ K 2.0)))

series86.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (* J (* 2 (* (sinh l) (cos (/ K 2.0))))) U)
24.0ms	(* J (* 2 (* (sinh l) (cos (/ K 2.0)))))
15.0ms	(* (sinh l) (cos (/ K 2.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4988	728
1	4988	728

prune94.0ms

Filtered

44 candidates to 61 candidates (-38.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	61	6	67

Merged error: 0.0b

Counts

67 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
0.3b	(cbrt (cos (/ K 2.0)))
0.3b	(cbrt (cos (/ K 2.0)))
0.3b	(cbrt (cos (/ K 2.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
1.0ms	(cbrt (cos (/ K 2.0)))
1.0ms	(cbrt (cos (/ K 2.0)))
1.0ms	(cbrt (cos (/ K 2.0)))

series77.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
17.0ms	(cbrt (cos (/ K 2.0)))
16.0ms	(cbrt (cos (/ K 2.0)))
17.0ms	(cbrt (cos (/ K 2.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4927	671
1	4927	671

prune161.0ms

Filtered

54 candidates to 85 candidates (-57.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

regimes411.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	13
1	17	13

end0.0ms

sample3.6s

Algorithm

intervals

Results

741.0ms	1236×	body	1280	valid
602.0ms	1491×	body	1280	invalid
461.0ms	1323×	body	640	valid
353.0ms	1239×	body	640	invalid
301.0ms	4206×	body	80	valid
241.0ms	3322×	body	80	invalid
190.0ms	811×	body	320	valid
129.0ms	625×	body	320	invalid
65.0ms	424×	body	160	valid
45.0ms	305×	body	160	invalid

Details

analyze499.0ms

sample121.0ms

simplify58.0ms

prune9.0ms

localize13.0ms

rewrite25.0ms

series37.0ms

simplify56.0ms

prune89.0ms

localize12.0ms

rewrite22.0ms

series83.0ms

simplify31.0ms

prune99.0ms

localize12.0ms

rewrite22.0ms

series86.0ms

simplify44.0ms

prune94.0ms

localize16.0ms

rewrite11.0ms

series77.0ms

simplify52.0ms

prune161.0ms

regimes411.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.6s

Profiling