Details

analyze489.0ms

Algorithm: search

sample106.0ms

Algorithm

intervals

Results

17.0ms	43×	body	1280	invalid
16.0ms	29×	body	1280	valid
16.0ms	44×	body	640	valid
10.0ms	37×	body	640	invalid
9.0ms	130×	body	80	valid
7.0ms	34×	body	320	valid
5.0ms	82×	body	80	invalid
4.0ms	17×	body	320	invalid
3.0ms	19×	body	160	valid
1.0ms	8×	body	160	invalid

simplify182.0ms

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

prune4.0ms

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: 16.1b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
0.0b	(* J (- (exp l) (exp (neg l))))
6.2b	(- (exp l) (exp (neg l)))

rewrite26.0ms

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:

12.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
7.0ms	(* J (- (exp l) (exp (neg l))))
5.0ms	(- (exp l) (exp (neg l)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
11.0ms	(* J (- (exp l) (exp (neg l))))
5.0ms	(- (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

prune104.0ms

Filtered

47 candidates to 69 candidates (-46.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	4	70

Merged error: 0.0b

Counts

70 → 4

localize9.0ms

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:

6.0ms	(+ (* (* 2 (* J l)) (cos (/ K 2.0))) U)
4.0ms	(* 2 (* J l))
6.0ms	(* (* 2 (* J l)) (cos (/ K 2.0)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (* (* 2 (* J l)) (cos (/ K 2.0))) U)
3.0ms	(* 2 (* J l))
12.0ms	(* (* 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

prune88.0ms

Filtered

35 candidates to 59 candidates (-68.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize12.0ms

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	(* (cos (* 0.5 K)) l)
0.1b	(* J (* (cos (* 0.5 K)) l))

rewrite25.0ms

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

series51.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (* 2 (* J (* (cos (* 0.5 K)) l))) U)
13.0ms	(* 2 (* J (* (cos (* 0.5 K)) l)))
7.0ms	(* (cos (* 0.5 K)) l)
11.0ms	(* J (* (cos (* 0.5 K)) l))

simplify39.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	265	514
1	1044	433
2	5001	433

prune107.0ms

Filtered

49 candidates to 80 candidates (-63.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	80	7	87

Merged error: 0.0b

Counts

87 → 7

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) (* (sqrt 2) (* J l)))
0.4b	(* (sqrt 2) (* J l))

rewrite37.0ms

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:

10.0ms	(+ (* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2.0))) U)
10.0ms	(* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2.0)))
9.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))
6.0ms	(* (sqrt 2) (* J l))

series60.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2.0))) U)
17.0ms	(* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2.0)))
8.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))
5.0ms	(* (sqrt 2) (* J l))

simplify54.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (46.0ms)

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

prune116.0ms

Filtered

56 candidates to 92 candidates (-64.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

regimes530.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

analyze486.0ms

Algorithm: search

sample3.5s

Algorithm

intervals

Results

698.0ms	1192×	body	1280	valid
604.0ms	1505×	body	1280	invalid
490.0ms	1424×	body	640	valid
345.0ms	1223×	body	640	invalid
280.0ms	4099×	body	80	valid
225.0ms	3274×	body	80	invalid
183.0ms	792×	body	320	valid
133.0ms	623×	body	320	invalid
71.0ms	493×	body	160	valid
45.0ms	327×	body	160	invalid

Details

analyze489.0ms

sample106.0ms

simplify182.0ms

prune4.0ms

localize12.0ms

rewrite26.0ms

series36.0ms

simplify35.0ms

prune104.0ms

localize9.0ms

rewrite19.0ms

series36.0ms

simplify39.0ms

prune88.0ms

localize12.0ms

rewrite25.0ms

series51.0ms

simplify39.0ms

prune107.0ms

localize14.0ms

rewrite37.0ms

series60.0ms

simplify54.0ms

prune116.0ms

regimes530.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze486.0ms

sample3.5s

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