Details

sample208.0ms

Algorithm

intervals

Results

63.0ms	83×	body	1280	valid
45.0ms	265×	body	80	valid
45.0ms	89×	body	640	valid
16.0ms	51×	body	320	valid
5.0ms	25×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
6	2572
5	534
4	198
3	82
2	41
1	23
0	14

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.4b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
5.9b	(- (exp l) (exp (- l)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

65.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
12.0ms	(- (exp l) (exp (- l)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

127.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
41.0ms	(- (exp l) (exp (- l)))

simplify1.2s

Counts

40 → 40

Iterations

Iter	Nodes
done	5001
2	1122
1	240
0	95

prune230.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

43.0ms	(+ (* (* J (+ (* 1/60 (pow l 5)) (* l (+ (* (* l l) 1/3) 2)))) (cos (/ K 2.0))) U)
11.0ms	(* 1/60 (pow l 5))
63.0ms	(* (* J (+ (* 1/60 (pow l 5)) (* l (+ (* (* l l) 1/3) 2)))) (cos (/ K 2.0)))
16.0ms	(* (* l l) 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

508.0ms	(+ (* (* J (+ (* 1/60 (pow l 5)) (* l (+ (* (* l l) 1/3) 2)))) (cos (/ K 2.0))) U)
438.0ms	(* 1/60 (pow l 5))
237.0ms	(* (* J (+ (* 1/60 (pow l 5)) (* l (+ (* (* l l) 1/3) 2)))) (cos (/ K 2.0)))
31.0ms	(* (* l l) 1/3)

simplify1.9s

Counts

87 → 87

Iterations

Iter	Nodes
done	5002
2	2793
1	483
0	169

prune573.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
19×	`add-sqr-sqrt`
18×	`add-cbrt-cube`
16×	`pow1`
14×	`associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l` `prod-exp`
8×	`cbrt-unprod`
7×	`pow-prod-down`
5×	`unswap-sqr`
4×	`unpow-prod-down` `associate-l/` `-commutative` `add-log-exp`
2×	`flip3-+` `associate-*r/` `flip-+` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 84

Calls

4 calls:

10.0ms	(* 1/60 (pow l 5))
51.0ms	(* J (* (+ (* 1/60 (pow l 5)) (* l (+ (* (* l l) 1/3) 2))) (cos (/ K 2.0))))
34.0ms	(* (+ (* 1/60 (pow l 5)) (* l (+ (* (* l l) 1/3) 2))) (cos (/ K 2.0)))
16.0ms	(* (* l l) 1/3)

series484.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* 1/60 (pow l 5))
235.0ms	(* J (* (+ (* 1/60 (pow l 5)) (* l (+ (* (* l l) 1/3) 2))) (cos (/ K 2.0))))
137.0ms	(* (+ (* 1/60 (pow l 5)) (* l (+ (* (* l l) 1/3) 2))) (cos (/ K 2.0)))
44.0ms	(* (* l l) 1/3)

simplify1.9s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	2591
1	466
0	174

prune668.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
0.3b	(cbrt (cos (/ K 2.0)))
0.3b	(cbrt (cos (/ K 2.0)))
0.3b	(cbrt (cos (/ K 2.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

15.0ms	(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
1.0ms	(cbrt (cos (/ K 2.0)))
1.0ms	(cbrt (cos (/ K 2.0)))
2.0ms	(cbrt (cos (/ K 2.0)))

series1.0s

Counts

4 → 12

Calls

4 calls:

372.0ms	(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
205.0ms	(cbrt (cos (/ K 2.0)))
243.0ms	(cbrt (cos (/ K 2.0)))
212.0ms	(cbrt (cos (/ K 2.0)))

simplify3.8s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	3811
2	607
1	155
0	70

prune677.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes583.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	29
1	29
0	21

end0.0ms

sample7.7s

Algorithm

intervals

Results

2.4s	2545×	body	640	valid
2.2s	2614×	body	1280	valid
1.8s	8383×	body	80	valid
495.0ms	1442×	body	320	valid
166.0ms	805×	body	160	valid