Details

sample221.0ms

Algorithm

intervals

Results

112.0ms	91×	body	1280	valid
27.0ms	62×	body	640	valid
24.0ms	259×	body	80	valid
13.0ms	48×	body	320	valid
4.0ms	21×	body	160	valid

simplify2.0s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
7.0b	(- (exp l) (exp (- l)))

rewrite108.0ms

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:

85.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
22.0ms	(- (exp l) (exp (- l)))

series186.0ms

Counts

2 → 6

Calls

2 calls:

143.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
43.0ms	(- (exp l) (exp (- l)))

simplify790.0ms

Counts

40 → 40

Iterations

Useful iterations: done (788.0ms)

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

prune208.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))
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)))
0.2b	(* 1/3 (pow l 3))

rewrite180.0ms

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` `add-log-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-prod-down` `sum-log` `*-commutative`
2×	`pow-to-exp` `flip3-+` `associate-r/` `associate-l/` `pow-exp` `flip-+`
1×	`+-commutative` `cube-mult` `associate-+r+` `unpow3`

Counts

4 → 89

Calls

4 calls:

28.0ms	(+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))
24.0ms	(* 1/60 (pow l 5))
112.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
14.0ms	(* 1/3 (pow l 3))

series506.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))
101.0ms	(* 1/60 (pow l 5))
227.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
69.0ms	(* 1/3 (pow l 3))

simplify1.4s

Counts

101 → 101

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	173	1516
1	476	1408
2	2218	1234
done	5000	1229

prune940.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
0.2b	(* 1/3 (pow l 3))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

12.0ms	(* 1/60 (pow l 5))
125.0ms	(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
116.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
13.0ms	(* 1/3 (pow l 3))

series538.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* 1/60 (pow l 5))
272.0ms	(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
147.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
45.0ms	(* 1/3 (pow l 3))

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	181	1751
1	478	1661
2	2073	1439
done	5000	1432

prune556.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
0.2b	(* 1/3 (pow l 3))
0.3b	(pow (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) 3)
24.6b	(cbrt (pow (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) 3))

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

177.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
14.0ms	(* 1/3 (pow l 3))
140.0ms	(pow (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) 3)
29.0ms	(cbrt (pow (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) 3))

series965.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
76.0ms	(* 1/3 (pow l 3))
346.0ms	(pow (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) 3)
267.0ms	(cbrt (pow (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) 3))

simplify2.2s

Counts

109 → 109

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	193	2652
1	605	2338
2	3380	2091
done	5000	2090

prune702.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes536.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	24
1	30	24
done	30	24

end0.0ms

sample8.4s

Algorithm

intervals

Results

3.2s	2618×	body	1280	valid
1.7s	8366×	body	80	valid
1.5s	2541×	body	640	valid
712.0ms	1391×	body	320	valid
251.0ms	762×	body	160	valid