Details

analyze488.0ms

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

sample117.0ms

Algorithm

intervals

Results

21.0ms	53×	body	1280	invalid
21.0ms	35×	body	1280	valid
14.0ms	44×	body	640	valid
11.0ms	108×	body	80	invalid
10.0ms	143×	body	80	valid
9.0ms	32×	body	640	invalid
5.0ms	22×	body	320	valid
4.0ms	22×	body	320	invalid
2.0ms	12×	body	160	valid
1.0ms	9×	body	160	invalid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4815	15
1	4815	15

prune10.0ms

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: 15.4b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* J (* (- (exp l) (exp (neg l))) (cos (/ K 2.0))))
0.0b	(* (- (exp l) (exp (neg l))) (cos (/ K 2.0)))
6.3b	(- (exp l) (exp (neg l)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

9.0ms	(* J (* (- (exp l) (exp (neg l))) (cos (/ K 2.0))))
7.0ms	(* (- (exp l) (exp (neg l))) (cos (/ K 2.0)))
5.0ms	(- (exp l) (exp (neg l)))

series41.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* J (* (- (exp l) (exp (neg l))) (cos (/ K 2.0))))
15.0ms	(* (- (exp l) (exp (neg l))) (cos (/ K 2.0)))
5.0ms	(- (exp l) (exp (neg l)))

simplify38.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5038	786

prune85.0ms

Filtered

49 candidates to 66 candidates (-34.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	1	67

Merged error: 0.0b

Counts

67 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh l)
0.0b	(+ (* J (* (* 2 (sinh l)) (cos (/ K 2.0)))) U)
0.1b	(* J (* (* 2 (sinh l)) (cos (/ K 2.0))))
0.1b	(* (* 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-l`
3×	`sinh-def` `associate-*r/`
2×	`associate-l/` `-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 60

Calls

4 calls:

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

series94.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sinh l)
46.0ms	(+ (* J (* (* 2 (sinh l)) (cos (/ K 2.0)))) U)
24.0ms	(* J (* (* 2 (sinh l)) (cos (/ K 2.0))))
16.0ms	(* (* 2 (sinh l)) (cos (/ K 2.0)))

simplify30.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5323	806

prune133.0ms

Filtered

53 candidates to 72 candidates (-35.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	7	73

Merged error: 0b

Counts

73 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

4.0ms	(* (sinh l) J)
8.0ms	(+ (* (* 2 (* (sinh l) J)) (cos (/ K 2.0))) U)
5.0ms	(* 2 (* (sinh l) J))
7.0ms	(* (* 2 (* (sinh l) J)) (cos (/ K 2.0)))

series106.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (sinh l) J)
48.0ms	(+ (* (* 2 (* (sinh l) J)) (cos (/ K 2.0))) U)
16.0ms	(* 2 (* (sinh l) J))
26.0ms	(* (* 2 (* (sinh l) J)) (cos (/ K 2.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4969	816
1	4969	816

prune120.0ms

Filtered

56 candidates to 83 candidates (-48.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	83	7	90

Merged error: 0b

Counts

90 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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` `*-commutative`
1×	`+-commutative` `flip3-+` `associate-r/` `associate-l/` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 60

Calls

4 calls:

1.0ms	(sinh l)
10.0ms	(+ (* (* 2 (sinh l)) (* J (cos (* K 0.5)))) U)
7.0ms	(* (* 2 (sinh l)) (* J (cos (* K 0.5))))
4.0ms	(* J (cos (* K 0.5)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sinh l)
43.0ms	(+ (* (* 2 (sinh l)) (* J (cos (* K 0.5)))) U)
25.0ms	(* (* 2 (sinh l)) (* J (cos (* K 0.5))))
8.0ms	(* J (cos (* K 0.5)))

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5006	744

prune82.0ms

Filtered

49 candidates to 72 candidates (-46.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	72	7	79

Merged error: 0b

Counts

79 → 7

regimes440.0ms

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

sample3.5s

Algorithm

intervals

Results

697.0ms	1167×	body	1280	valid
572.0ms	1399×	body	1280	invalid
491.0ms	1386×	body	640	valid
345.0ms	1228×	body	640	invalid
295.0ms	4186×	body	80	valid
219.0ms	3133×	body	80	invalid
185.0ms	798×	body	320	valid
126.0ms	638×	body	320	invalid
67.0ms	463×	body	160	valid
37.0ms	266×	body	160	invalid

Details

analyze488.0ms

sample117.0ms

simplify53.0ms

prune10.0ms

localize13.0ms

rewrite23.0ms

series41.0ms

simplify38.0ms

prune85.0ms

localize13.0ms

rewrite23.0ms

series94.0ms

simplify30.0ms

prune133.0ms

localize13.0ms

rewrite26.0ms

series106.0ms

simplify44.0ms

prune120.0ms

localize11.0ms

rewrite24.0ms

series83.0ms

simplify41.0ms

prune82.0ms

regimes440.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.5s

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