Details

sample113.0ms

Algorithm

intervals

Results

41.0ms	100×	body	1280	valid
24.0ms	85×	body	640	valid
16.0ms	292×	body	80	valid
8.0ms	45×	body	320	valid
2.0ms	19×	body	160	valid

simplify16.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	15
1	23	15
2	41	15
3	72	15
4	121	15
5	184	15
6	264	15
7	375	15
8	521	15
9	941	15
10	2363	15
11	3392	15
12	3761	15
13	4827	15
done	5000	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
0.3b	(* J (- (exp l) (exp (- l))))
4.8b	(- (exp l) (exp (- l)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`associate-r` `add-log-exp`
7×	`add-cube-cbrt`
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×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

26.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
29.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
21.0ms	(* J (- (exp l) (exp (- l))))
6.0ms	(- (exp l) (exp (- l)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
87.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
54.0ms	(* J (- (exp l) (exp (- l))))
36.0ms	(- (exp l) (exp (- l)))

simplify2.0s

Counts

83 → 83

Iterations

Useful iterations: 3 (880.0ms)

Iter	Nodes	Cost
0	146	1240
1	357	1185
2	992	1031
3	3614	1016
done	5001	1016

prune253.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* J (+ (* 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)))
0.1b	(* 1/3 (pow l 3))

rewrite93.0ms

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` `associate-r/` `pow-prod-down` `-commutative` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `flip3-+` `associate-*l/` `pow-exp` `flip-+`
1×	`distribute-rgt-in` `cube-mult` `distribute-lft-in` `unpow3`

Counts

4 → 98

Calls

4 calls:

34.0ms	(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
8.0ms	(* 1/60 (pow l 5))
41.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
7.0ms	(* 1/3 (pow l 3))

series384.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
51.0ms	(* 1/60 (pow l 5))
162.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
37.0ms	(* 1/3 (pow l 3))

simplify872.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (232.0ms)

Iter	Nodes	Cost
0	184	1706
1	470	1616
2	1557	1390
done	5001	1390

prune368.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/60 (pow l 5))
0.1b	(* (+ (* (pow l 3) (* 1/3 J)) (* J (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
0.3b	(* 1/3 J)
3.3b	(* (pow l 3) (* 1/3 J))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

6.0ms	(* 1/60 (pow l 5))
24.0ms	(* (+ (* (pow l 3) (* 1/3 J)) (* J (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
3.0ms	(* 1/3 J)
10.0ms	(* (pow l 3) (* 1/3 J))

series196.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* 1/60 (pow l 5))
106.0ms	(* (+ (* (pow l 3) (* 1/3 J)) (* J (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
18.0ms	(* 1/3 J)
25.0ms	(* (pow l 3) (* 1/3 J))

simplify767.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	170	1327
1	418	1238
2	1382	1072
done	5000	1072

prune381.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

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

rewrite85.0ms

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:

6.0ms	(* 1/60 (pow l 5))
35.0ms	(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
7.0ms	(* 1/3 (pow l 3))
35.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* 1/60 (pow l 5))
167.0ms	(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
36.0ms	(* 1/3 (pow l 3))
91.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

simplify807.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (198.0ms)

Iter	Nodes	Cost
0	181	1751
1	454	1663
2	1511	1431
done	5001	1431

prune353.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes255.0ms

Accuracy

0% (0.3b 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	23	26
1	32	26
done	32	26

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.2s	2796×	body	1280	valid
921.0ms	2626×	body	640	valid
475.0ms	8441×	body	80	valid
254.0ms	1431×	body	320	valid
94.0ms	792×	body	160	valid