Details

sample100.0ms

Algorithm

intervals

Results

35.0ms	87×	body	1280	valid
23.0ms	92×	body	640	valid
14.0ms	263×	body	80	valid
6.0ms	36×	body	320	valid
2.0ms	17×	body	160	valid

simplify25.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	15
1	23	15
2	41	15
3	74	15
4	123	15
5	190	15
6	302	15
7	496	15
8	671	15
9	1133	15
10	3001	15
11	4196	15
12	4772	15
done	5001	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* J (- (exp l) (exp (- l))))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
5.2b	(- (exp l) (exp (- l)))

rewrite60.0ms

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:

24.0ms	(* J (- (exp l) (exp (- l))))
27.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
6.0ms	(- (exp l) (exp (- l)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* J (- (exp l) (exp (- l))))
88.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
35.0ms	(- (exp l) (exp (- l)))

simplify1.2s

Counts

69 → 69

Iterations

Useful iterations: 3 (316.0ms)

Iter	Nodes	Cost
0	114	899
1	271	874
2	842	738
3	2915	735
done	5000	735

prune195.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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

rewrite99.0ms

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:

41.0ms	(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
6.0ms	(* 1/60 (pow l 5))
7.0ms	(* 1/3 (pow l 3))
41.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

series570.0ms

Counts

4 → 12

Calls

4 calls:

323.0ms	(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
49.0ms	(* 1/60 (pow l 5))
38.0ms	(* 1/3 (pow l 3))
159.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

simplify136.0ms

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	180	1661
1	483	1533