Details

sample223.0ms

Algorithm

intervals

Results

84.0ms	75×	body	1280	valid
48.0ms	81×	body	640	valid
37.0ms	299×	body	80	valid
21.0ms	51×	body	320	valid
5.0ms	19×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3179
6	1004
5	361
4	183
3	80
2	41
1	23
0	14

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.5b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
0.0b	(* J (- (exp l) (exp (- l))))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
4.9b	(- (exp l) (exp (- l)))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
8×	`associate-r` `add-log-exp`
7×	`add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16`
3×	`sub-neg` `flip3--` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

81.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
55.0ms	(* J (- (exp l) (exp (- l))))
89.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
24.0ms	(- (exp l) (exp (- l)))

series565.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
103.0ms	(* J (- (exp l) (exp (- l))))
143.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
42.0ms	(- (exp l) (exp (- l)))

simplify3.3s

Counts

87 → 87

Iterations

Iter	Nodes
done	5005
3	4449
2	1047
1	380
0	147

prune492.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

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` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`associate-l/` `associate-r/` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 85

Calls

4 calls:

14.0ms	(* 1/60 (pow l 5))
19.0ms	(* (* l 1/3) l)
59.0ms	(* (* J (+ (* 1/60 (pow l 5)) (* l (+ (* (* l 1/3) l) 2)))) (cos (/ K 2)))
21.0ms	(* l 1/3)

series379.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* 1/60 (pow l 5))
51.0ms	(* (* l 1/3) l)
208.0ms	(* (* J (+ (* 1/60 (pow l 5)) (* l (+ (* (* l 1/3) l) 2)))) (cos (/ K 2)))
19.0ms	(* l 1/3)

simplify2.0s

Counts

97 → 97

Iterations

Iter	Nodes
done	5012
2	1712
1	440
0	161

prune699.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

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` `insert-posit16` `add-log-exp`
2×	`flip3-+` `associate-*r/` `flip-+` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

84.0ms	(* J (* (+ (* 1/60 (pow l 5)) (* l (+ (* (* l 1/3) l) 2))) (cos (/ K 2))))
23.0ms	(* (* l 1/3) l)
45.0ms	(* (+ (* 1/60 (pow l 5)) (* l (+ (* (* l 1/3) l) 2))) (cos (/ K 2)))
7.0ms	(* l 1/3)

series450.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(* J (* (+ (* 1/60 (pow l 5)) (* l (+ (* (* l 1/3) l) 2))) (cos (/ K 2))))
38.0ms	(* (* l 1/3) l)
125.0ms	(* (+ (* 1/60 (pow l 5)) (* l (+ (* (* l 1/3) l) 2))) (cos (/ K 2)))
18.0ms	(* l 1/3)

simplify1.7s

Counts

92 → 92

Iterations

Iter	Nodes
done	5008
2	1518
1	412
0	149

prune642.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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` `insert-posit16` `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 → 77

Calls

4 calls:

25.0ms	(* (cbrt J) (cbrt J))
2.0ms	(cbrt J)
2.0ms	(cbrt J)
2.0ms	(cbrt J)

series1.1s

Counts

4 → 12

Calls

4 calls:

253.0ms	(* (cbrt J) (cbrt J))
314.0ms	(cbrt J)
249.0ms	(cbrt J)
300.0ms	(cbrt J)

simplify3.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
4	3832
3	1045
2	380
1	138
0	63

prune649.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes563.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	29
1	29
0	20

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.3s	2664×	body	1280	valid
2.2s	2558×	body	640	valid
1.5s	8315×	body	80	valid
567.0ms	1337×	body	320	valid
151.0ms	764×	body	160	valid