Details

sample286.0ms

Algorithm

intervals

Results

116.0ms	99×	body	1280	valid
58.0ms	95×	body	640	valid
35.0ms	272×	body	80	valid
16.0ms	37×	body	320	valid
4.0ms	16×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	15
1	23	15
2	41	15
3	82	15
4	198	15
5	537	15
6	2607	15
done	5001	15

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.8b

localize44.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
6.1b	(- (exp l) (exp (- l)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

113.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
25.0ms	(- (exp l) (exp (- l)))

series216.0ms

Counts

2 → 6

Calls

2 calls:

155.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
62.0ms	(- (exp l) (exp (- l)))

simplify1.0s

Counts

40 → 40

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	96	588
1	241	571
2	1112	477
done	5001	473

prune341.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
0.1b	(* 1/60 (pow l 5))
0.1b	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
0.1b	(* 1/3 (pow l 3))

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `prod-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-prod-down` `*-commutative`
2×	`pow-to-exp` `flip3-+` `associate-r/` `associate-l/` `pow-exp` `flip-+`
1×	`+-commutative` `cube-mult` `unpow3` `sum-log`

Counts

4 → 87

Calls

4 calls:

153.0ms	(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
20.0ms	(* 1/60 (pow l 5))
166.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
23.0ms	(* 1/3 (pow l 3))

series1.0s

Counts

4 → 12

Calls

4 calls:

579.0ms	(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
84.0ms	(* 1/60 (pow l 5))
298.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
72.0ms	(* 1/3 (pow l 3))

simplify1.9s

Counts

99 → 99

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	180	1661
1	498	1531
2	2278	1379
done	5000	1378

prune896.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (pow l 3))
0.1b	(* 1/60 (pow l 5))
0.1b	(* (* J (+ (log (cbrt (exp (pow l 3)))) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
1.3b	(log (cbrt (exp (pow l 3))))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-exp-log`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`exp-prod`
11×	`add-cbrt-cube`
10×	`pow1` `associate-r`
7×	`unpow-prod-down`
6×	`log-prod` `prod-exp`
5×	`add-log-exp`
4×	`associate-l` `cbrt-unprod`
3×	`cbrt-prod` `cube-prod` `pow-prod-down` `unswap-sqr` `sqr-pow`
2×	`associate-r/` `associate-l/` `log-pow` `*-commutative`
1×	`cube-mult` `pow-to-exp` `flip3-+` `pow1/3` `unpow3` `rem-log-exp` `pow-exp` `flip-+` `rem-exp-log`

Counts

4 → 81

Calls

4 calls:

14.0ms	(exp (pow l 3))
21.0ms	(* 1/60 (pow l 5))
154.0ms	(* (* J (+ (log (cbrt (exp (pow l 3)))) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
8.0ms	(log (cbrt (exp (pow l 3))))

series1.7s

Counts

4 → 12

Calls

4 calls:

39.0ms	(exp (pow l 3))
92.0ms	(* 1/60 (pow l 5))
403.0ms	(* (* J (+ (log (cbrt (exp (pow l 3)))) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
1.2s	(log (cbrt (exp (pow l 3))))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	170	1231
1	413	1162
2	1829	1000
done	5002	995

prune922.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/60 (pow l 5))
0.1b	(* (* J (cos (/ K 2.0))) (+ (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))) (* 2 l)))
0.1b	(* 1/3 (pow l 3))
0.1b	(* J (cos (/ K 2.0)))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`associate-r`
21×	`add-exp-log`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
10×	`associate-l` `prod-exp`
8×	`unpow-prod-down` `unswap-sqr`
6×	`cbrt-unprod`
4×	`cube-prod` `pow-prod-down` `*-commutative` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `associate-*r/` `pow-exp`
1×	`distribute-rgt-in` `cube-mult` `distribute-lft-in` `flip3-+` `unpow3` `flip-+`

Counts

4 → 96

Calls

4 calls:

21.0ms	(* 1/60 (pow l 5))
154.0ms	(* (* J (cos (/ K 2.0))) (+ (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))) (* 2 l)))
31.0ms	(* 1/3 (pow l 3))
15.0ms	(* J (cos (/ K 2.0)))

series678.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* 1/60 (pow l 5))
452.0ms	(* (* J (cos (/ K 2.0))) (+ (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))) (* 2 l)))
63.0ms	(* 1/3 (pow l 3))
74.0ms	(* J (cos (/ K 2.0)))

simplify2.7s

Counts

108 → 108

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	181	1403
1	512	1325
2	2729	1155
done	5002	1154

prune1.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes1.0s

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	25
1	30	25
done	30	25

end0.0ms

sample9.6s

Algorithm

intervals

Results

3.2s	2690×	body	1280	valid
2.6s	2534×	body	640	valid
1.5s	8411×	body	80	valid
733.0ms	1376×	body	320	valid
311.0ms	711×	body	160	valid