Details

sample244.0ms

Algorithm

intervals

Results

106.0ms	94×	body	1280	valid
36.0ms	82×	body	640	valid
28.0ms	296×	body	80	valid
15.0ms	47×	body	320	valid
11.0ms	31×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* J (* (- (exp l) (exp (- l))) (cos (/ K 2.0))))
0.0b	(* (- (exp l) (exp (- l))) (cos (/ K 2.0)))
6.2b	(- (exp l) (exp (- l)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

69.0ms	(* J (* (- (exp l) (exp (- l))) (cos (/ K 2.0))))
78.0ms	(* (- (exp l) (exp (- l))) (cos (/ K 2.0)))
11.0ms	(- (exp l) (exp (- l)))

series314.0ms

Counts

3 → 9

Calls

3 calls:

173.0ms	(* J (* (- (exp l) (exp (- l))) (cos (/ K 2.0))))
100.0ms	(* (- (exp l) (exp (- l))) (cos (/ K 2.0)))
40.0ms	(- (exp l) (exp (- l)))

simplify672.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
2	1176
1	273
0	114

prune495.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite530.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`add-exp-log`
19×	`associate-r`
16×	`associate-l`
15×	`add-cbrt-cube`
14×	`*-un-lft-identity` `add-cube-cbrt`
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-+` `pow-exp` `associate-*r/` `flip-+`
1×	`cube-mult` `unpow3`

Counts

4 → 96

Calls

4 calls:

19.0ms	(* (pow l 5) 1/60)
266.0ms	(* (+ (* (pow l 5) 1/60) (+ (* 1/3 (pow l 3)) (+ l l))) (cos (/ K 2.0)))
223.0ms	(* J (* (+ (* (pow l 5) 1/60) (+ (* 1/3 (pow l 3)) (+ l l))) (cos (/ K 2.0))))
18.0ms	(* 1/3 (pow l 3))

series530.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (pow l 5) 1/60)
115.0ms	(* (+ (* (pow l 5) 1/60) (+ (* 1/3 (pow l 3)) (+ l l))) (cos (/ K 2.0)))
279.0ms	(* J (* (+ (* (pow l 5) 1/60) (+ (* 1/3 (pow l 3)) (+ l l))) (cos (/ K 2.0))))
62.0ms	(* 1/3 (pow l 3))

simplify1.4s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	2379
1	482
0	183

prune910.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`associate-l`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `associate-r` `prod-exp`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cube-prod` `associate-*l/` `sqr-pow`
3×	`pow-prod-down` `*-commutative`
2×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`
1×	`cube-mult` `+-commutative` `sum-log` `unpow3`

Counts

4 → 87

Calls

4 calls:

13.0ms	(+ U (* (* (+ (* 2 l) (+ (* (pow l 3) 1/3) (* (pow l 5) 1/60))) J) (cos (/ K 2.0))))
18.0ms	(* (pow l 5) 1/60)
103.0ms	(* (* (+ (* 2 l) (+ (* (pow l 3) 1/3) (* (pow l 5) 1/60))) J) (cos (/ K 2.0)))
21.0ms	(* (pow l 3) 1/3)

series659.0ms

Counts

4 → 12

Calls

4 calls:

359.0ms	(+ U (* (* (+ (* 2 l) (+ (* (pow l 3) 1/3) (* (pow l 5) 1/60))) J) (cos (/ K 2.0))))
75.0ms	(* (pow l 5) 1/60)
151.0ms	(* (* (+ (* 2 l) (+ (* (pow l 3) 1/3) (* (pow l 5) 1/60))) J) (cos (/ K 2.0)))
74.0ms	(* (pow l 3) 1/3)

simplify1.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	2302
1	469
0	177

prune833.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt J) (cbrt J))
0.6b	(cbrt J)
0.6b	(cbrt J)
0.6b	(cbrt J)

rewrite17.0ms

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:

9.0ms	(* (cbrt J) (cbrt J))
1.0ms	(cbrt J)
1.0ms	(cbrt J)
5.0ms	(cbrt J)

series1.2s

Counts

4 → 12

Calls

4 calls:

314.0ms	(* (cbrt J) (cbrt J))
282.0ms	(cbrt J)
304.0ms	(cbrt J)
274.0ms	(cbrt J)

simplify1.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune747.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes779.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	30
1	30
0	22

end0.0ms

sample8.3s

Algorithm

intervals

Results

2.9s	2632×	body	1280	valid
2.1s	8439×	body	80	valid
1.4s	2653×	body	640	valid
607.0ms	1425×	body	320	valid
174.0ms	806×	body	160	valid