Details

sample230.0ms

Algorithm

intervals

Results

70.0ms	88×	body	1280	valid
44.0ms	85×	body	640	valid
38.0ms	44×	body	320	valid
29.0ms	269×	body	80	valid
4.0ms	20×	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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(* J (- (exp l) (exp (- l))))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
4.4b	(- (exp l) (exp (- l)))

rewrite193.0ms

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:

71.0ms	(* J (- (exp l) (exp (- l))))
98.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
22.0ms	(- (exp l) (exp (- l)))

series274.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* J (- (exp l) (exp (- l))))
136.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
69.0ms	(- (exp l) (exp (- l)))

simplify822.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5002
2	1402
1	287
0	113

prune483.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
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))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`associate-r`
21×	`add-exp-log`
15×	`add-cbrt-cube`
14×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
10×	`associate-l` `prod-exp`
8×	`unpow-prod-down` `unswap-sqr`
6×	`cbrt-unprod`
4×	`cube-prod` `pow-prod-down` `associate-r/` `-commutative` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `flip3-+` `associate-*l/` `pow-exp` `flip-+`
1×	`distribute-rgt-in` `cube-mult` `distribute-lft-in` `unpow3`

Counts

4 → 98

Calls

4 calls:

84.0ms	(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
18.0ms	(* 1/60 (pow l 5))
141.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
21.0ms	(* 1/3 (pow l 3))

series590.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
72.0ms	(* 1/60 (pow l 5))
245.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
76.0ms	(* 1/3 (pow l 3))

simplify1.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	2461
1	508
0	182

prune851.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`associate-l` `add-exp-log`
15×	`add-cbrt-cube`
14×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
11×	`pow1`
10×	`prod-exp`
8×	`unpow-prod-down` `unswap-sqr`
6×	`associate-*r/` `cbrt-unprod`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`cube-prod` `pow-prod-down` `*-commutative` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`
1×	`cube-mult` `unpow3`

Counts

4 → 102

Calls

4 calls:

18.0ms	(* 1/60 (pow l 5))
111.0ms	(* J (* (cos (/ K 2.0)) (+ (+ (* (pow l 3) 1/3) (* l 2)) (* 1/60 (pow l 5)))))
86.0ms	(* (cos (/ K 2.0)) (+ (+ (* (pow l 3) 1/3) (* l 2)) (* 1/60 (pow l 5))))
23.0ms	(* (pow l 3) 1/3)

series747.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* 1/60 (pow l 5))
388.0ms	(* J (* (cos (/ K 2.0)) (+ (+ (* (pow l 3) 1/3) (* l 2)) (* 1/60 (pow l 5)))))
212.0ms	(* (cos (/ K 2.0)) (+ (+ (* (pow l 3) 1/3) (* l 2)) (* 1/60 (pow l 5))))
71.0ms	(* (pow l 3) 1/3)

simplify1.6s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	2768
1	542
0	201

prune784.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(* J (cos (* 0.5 K)))
0.2b	(* 1/3 (cos (* 0.5 K)))
2.4b	(* (pow l 5) J)
4.9b	(* (pow l 3) J)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
25×	`associate-l`
18×	`add-exp-log`
15×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `associate-r`
9×	`unswap-sqr`
8×	`pow1` `unpow-prod-down` `prod-exp`
4×	`cube-prod` `*-commutative` `cbrt-unprod` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `pow-prod-down` `pow-exp`
1×	`cube-mult` `unpow3`

Counts

4 → 92

Calls

4 calls:

23.0ms	(* J (cos (* 0.5 K)))
14.0ms	(* 1/3 (cos (* 0.5 K)))
16.0ms	(* (pow l 5) J)
10.0ms	(* (pow l 3) J)

series171.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* J (cos (* 0.5 K)))
47.0ms	(* 1/3 (cos (* 0.5 K)))
48.0ms	(* (pow l 5) J)
26.0ms	(* (pow l 3) J)

simplify821.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1401
1	342
0	144

prune847.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes649.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	30
1	30
0	22

end0.0ms

sample8.4s

Algorithm

intervals

Results

3.0s	2662×	body	1280	valid
2.0s	2683×	body	640	valid
1.5s	8436×	body	80	valid
583.0ms	1452×	body	320	valid
317.0ms	791×	body	160	valid