Details

sample256.0ms

Algorithm

intervals

Results

95.0ms	80×	body	1280	valid
70.0ms	89×	body	640	valid
39.0ms	281×	body	80	valid
20.0ms	44×	body	320	valid
7.0ms	28×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
9	2396
8	1697
7	948
6	527
5	277
4	181
3	78
2	39
1	23
0	14

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))
6.2b	(- (exp l) (exp (- l)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
8×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `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:

47.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
33.0ms	(* J (- (exp l) (exp (- l))))
17.0ms	(- (exp l) (exp (- l)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
61.0ms	(* J (- (exp l) (exp (- l))))
42.0ms	(- (exp l) (exp (- l)))

simplify1.2s

Counts

69 → 69

Iterations

Iter	Nodes
3	2906
2	729
1	270
0	111

prune739.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/60 (pow l 5))
0.1b	(* (* J (+ (* 1/60 (pow l 5)) (* l (+ (* (* 1/3 l) l) 2)))) (cos (/ K 2)))
0.1b	(* (* 1/3 l) l)
0.4b	(* 1/3 l)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

7.0ms	(* 1/60 (pow l 5))
51.0ms	(* (* J (+ (* 1/60 (pow l 5)) (* l (+ (* (* 1/3 l) l) 2)))) (cos (/ K 2)))
24.0ms	(* (* 1/3 l) l)
5.0ms	(* 1/3 l)

series360.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* 1/60 (pow l 5))
218.0ms	(* (* J (+ (* 1/60 (pow l 5)) (* l (+ (* (* 1/3 l) l) 2)))) (cos (/ K 2)))
36.0ms	(* (* 1/3 l) l)
27.0ms	(* 1/3 l)

simplify5.9s

Counts

93 → 93

Iterations

Iter	Nodes
3	8893
2	1587
1	416
0	155

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* J (* (+ (* 1/60 (pow l 5)) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2))))
0.1b	(* (* 1/3 l) l)
0.1b	(* (+ (* 1/60 (pow l 5)) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2)))
0.4b	(* 1/3 l)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-l/` `-commutative` `add-log-exp`
2×	`flip3-+` `associate-*r/` `flip-+` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

58.0ms	(* J (* (+ (* 1/60 (pow l 5)) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2))))
17.0ms	(* (* 1/3 l) l)
20.0ms	(* (+ (* 1/60 (pow l 5)) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2)))
5.0ms	(* 1/3 l)

series411.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* J (* (+ (* 1/60 (pow l 5)) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2))))
34.0ms	(* (* 1/3 l) l)
141.0ms	(* (+ (* 1/60 (pow l 5)) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2)))
28.0ms	(* 1/3 l)

simplify4.6s

Counts

88 → 88

Iterations

Iter	Nodes
3	7429
2	1425
1	392
0	143

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize90.0ms

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)

rewrite12.0ms

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:

8.0ms	(* (cbrt J) (cbrt J))
1.0ms	(cbrt J)
1.0ms	(cbrt J)
1.0ms	(cbrt J)

series1.1s

Counts

4 → 12

Calls

4 calls:

260.0ms	(* (cbrt J) (cbrt J))
285.0ms	(cbrt J)
278.0ms	(cbrt J)
279.0ms	(cbrt J)

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
4	2793
3	814
2	307
1	130
0	61

prune1.4s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes481.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	29
1	29
0	20

end0.0ms

sample10.1s

Algorithm

intervals

Results

3.6s	2683×	body	1280	valid
2.3s	8385×	body	80	valid
2.0s	2549×	body	640	valid
1.3s	1488×	body	320	valid
327.0ms	732×	body	160	valid