Details

analyze483.0ms

Algorithm: search

sample114.0ms

Algorithm

intervals

Results

20.0ms	35×	body	1280	valid
19.0ms	52×	body	640	valid
14.0ms	38×	body	1280	invalid
12.0ms	45×	body	640	invalid
9.0ms	132×	body	80	valid
8.0ms	118×	body	80	invalid
6.0ms	32×	body	320	invalid
4.0ms	18×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	6×	body	160	invalid

simplify187.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	9
1	41	9
2	83	9
3	173	9
4	284	9
5	556	9
6	919	9
7	1220	9
8	3918	9
9	5002	9

prune5.0ms

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: 17.0b

Counts

2 → 1

localize17.0ms

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)))
6.2b	(- (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`
8×	`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×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

7.0ms	(* 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)))

series39.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(* J (- (exp l) (exp (neg l))))
22.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
6.0ms	(- (exp l) (exp (neg l)))

simplify35.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	265	566
1	1128	479
2	5001	473

prune99.0ms

Filtered

47 candidates to 69 candidates (-46.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	2	70

Merged error: 0.0b

Counts

70 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

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-l`
2×	`*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 50

Calls

3 calls:

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

series38.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (* (* 2 (* J l)) (cos (/ K 2.0))) U)
3.0ms	(* 2 (* J l))
14.0ms	(* (* 2 (* J l)) (cos (/ K 2.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	244	365
1	1034	314
2	5002	314

prune90.0ms

Filtered

35 candidates to 59 candidates (-68.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	55	6	61

Merged error: 0b

Counts

61 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

7.0ms	(+ (* 2 (* J (* (cos (* 0.5 K)) l))) U)
8.0ms	(* 2 (* J (* (cos (* 0.5 K)) l)))
5.0ms	(* J (* (cos (* 0.5 K)) l))
4.0ms	(* (cos (* 0.5 K)) l)

series54.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* 2 (* J (* (cos (* 0.5 K)) l))) U)
13.0ms	(* 2 (* J (* (cos (* 0.5 K)) l)))
12.0ms	(* J (* (cos (* 0.5 K)) l))
8.0ms	(* (cos (* 0.5 K)) l)

simplify42.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	265	514
1	1044	433
2	5002	433

prune108.0ms

Filtered

49 candidates to 80 candidates (-63.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	80	6	86

Merged error: 0b

Counts

86 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2.0))) U)
0.1b	(* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2.0)))
0.3b	(* (sqrt 2) (* J l))
0.4b	(* (sqrt 2) (* (sqrt 2) (* J l)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod` `add-log-exp`
5×	`associate-r`
3×	`*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 80

Calls

4 calls:

14.0ms	(+ (* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2.0))) U)
11.0ms	(* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2.0)))
6.0ms	(* (sqrt 2) (* J l))
9.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2.0))) U)
18.0ms	(* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2.0)))
5.0ms	(* (sqrt 2) (* J l))
8.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))

simplify55.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	337	668
1	1617	520
2	5001	519

prune125.0ms

Filtered

56 candidates to 92 candidates (-64.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	92	6	98

Merged error: 0b

Counts

98 → 6

regimes579.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

analyze480.0ms

Algorithm: search

sample3.6s

Algorithm

intervals

Results

698.0ms	1188×	body	1280	valid
671.0ms	1401×	body	640	valid
581.0ms	1505×	body	1280	invalid
345.0ms	1275×	body	640	invalid
269.0ms	4077×	body	80	valid
229.0ms	3314×	body	80	invalid
188.0ms	858×	body	320	valid
117.0ms	624×	body	320	invalid
64.0ms	476×	body	160	valid
38.0ms	286×	body	160	invalid

Details

analyze483.0ms

sample114.0ms

simplify187.0ms

prune5.0ms

localize17.0ms

rewrite23.0ms

series39.0ms

simplify35.0ms

prune99.0ms

localize10.0ms

rewrite19.0ms

series38.0ms

simplify39.0ms

prune90.0ms

localize13.0ms

rewrite27.0ms

series54.0ms

simplify42.0ms

prune108.0ms

localize14.0ms

rewrite43.0ms

series61.0ms

simplify55.0ms

prune125.0ms

regimes579.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze480.0ms

sample3.6s

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