Details

sample219.0ms

Algorithm

intervals

Results

56.0ms	279×	body	80	valid
52.0ms	74×	body	1280	valid
49.0ms	105×	body	640	valid
17.0ms	42×	body	320	valid
2.0ms	10×	body	160	valid

simplify20.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	15
1	23	15
2	41	15
3	81	15
4	168	15
5	230	15
6	285	15
7	395	15
8	483	15
9	800	15
10	1301	15
11	1948	15
12	2455	15
13	2758	15
14	2840	15
done	2840	15

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
5.3b	(- (exp l) (exp (- l)))

rewrite92.0ms

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:

75.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
16.0ms	(- (exp l) (exp (- l)))

series200.0ms

Counts

2 → 6

Calls

2 calls:

146.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
54.0ms	(- (exp l) (exp (- l)))

simplify2.6s

Counts

40 → 40

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	96	588
1	221	571
2	701	473
3	2985	471
done	5002	471

prune154.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

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

rewrite199.0ms

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:

42.0ms	(+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))
21.0ms	(* 1/60 (pow l 5))
18.0ms	(* 1/3 (pow l 3))
113.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

series416.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))
78.0ms	(* 1/60 (pow l 5))
44.0ms	(* 1/3 (pow l 3))
226.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

simplify1.1s

Counts

101 → 101

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	173	1516
1	443	1410
2	1707	1230
done	5000	1229

prune512.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5)))
0.1b	(* 1/60 (pow l 5))
0.1b	(* 1/3 (pow l 3))
0.2b	(* (* J (+ (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))) (* 2 l))) (cos (/ K 2.0)))

rewrite207.0ms

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:

12.0ms	(+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5)))
12.0ms	(* 1/60 (pow l 5))
18.0ms	(* 1/3 (pow l 3))
161.0ms	(* (* J (+ (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))) (* 2 l))) (cos (/ K 2.0)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5)))
75.0ms	(* 1/60 (pow l 5))
43.0ms	(* 1/3 (pow l 3))
233.0ms	(* (* J (+ (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))) (* 2 l))) (cos (/ K 2.0)))

simplify1.2s

Counts

99 → 99

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	175	1403
1	465	1275
2	1799	1127
done	5000	1126

prune489.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

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

rewrite311.0ms

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:

13.0ms	(* 1/60 (pow l 5))
142.0ms	(* J (* (+ (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))) (* 2 l)) (cos (/ K 2.0))))
22.0ms	(* 1/3 (pow l 3))
128.0ms	(* (+ (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))) (* 2 l)) (cos (/ K 2.0)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* 1/60 (pow l 5))
232.0ms	(* J (* (+ (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))) (* 2 l)) (cos (/ K 2.0))))
68.0ms	(* 1/3 (pow l 3))
128.0ms	(* (+ (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))) (* 2 l)) (cos (/ K 2.0)))

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	182	1751
1	456	1675
2	1611	1441
done	5001	1440

prune578.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes347.0ms

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

sample8.6s

Algorithm

intervals

Results

2.8s	2703×	body	1280	valid
2.4s	8365×	body	80	valid
1.5s	2560×	body	640	valid
727.0ms	1450×	body	320	valid
174.0ms	783×	body	160	valid