Details

sample245.0ms

Algorithm

intervals

Results

109.0ms	100×	body	1280	valid
35.0ms	68×	body	640	valid
29.0ms	264×	body	80	valid
20.0ms	58×	body	320	valid
5.0ms	23×	body	160	valid

simplify1.6s

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: 16.9b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
0.2b	(* J (- (exp l) (exp (- l))))
5.2b	(- (exp l) (exp (- l)))

rewrite165.0ms

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:

60.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
79.0ms	(* J (- (exp l) (exp (- l))))
21.0ms	(- (exp l) (exp (- l)))

series270.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
79.0ms	(* J (- (exp l) (exp (- l))))
52.0ms	(- (exp l) (exp (- l)))

simplify881.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5002
2	1400
1	288
0	113

prune416.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite200.0ms

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:

79.0ms	(* J (+ (* 1/60 (pow l 5)) (+ (* 1/3 (pow l 3)) (* 2 l))))
14.0ms	(* 1/60 (pow l 5))
83.0ms	(* (* J (+ (* 1/60 (pow l 5)) (+ (* 1/3 (pow l 3)) (* 2 l)))) (cos (/ K 2.0)))
21.0ms	(* 1/3 (pow l 3))

series534.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(* J (+ (* 1/60 (pow l 5)) (+ (* 1/3 (pow l 3)) (* 2 l))))
66.0ms	(* 1/60 (pow l 5))
233.0ms	(* (* J (+ (* 1/60 (pow l 5)) (+ (* 1/3 (pow l 3)) (* 2 l)))) (cos (/ K 2.0)))
48.0ms	(* 1/3 (pow l 3))

simplify1.3s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	2424
1	509
0	182

prune720.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`add-exp-log`
19×	`associate-l`
16×	`associate-r`
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` `*-commutative` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `associate-*r/`
1×	`distribute-rgt-in` `cube-mult` `distribute-lft-in` `flip3-+` `unpow3` `flip-+`

Counts

4 → 96

Calls

4 calls:

10.0ms	(* 1/60 (pow l 5))
76.0ms	(* (* (cos (/ K 2.0)) J) (+ (* 1/60 (pow l 5)) (+ (* (pow l 3) 1/3) (* l 2))))
6.0ms	(* (cos (/ K 2.0)) J)
16.0ms	(* (pow l 3) 1/3)

series548.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* 1/60 (pow l 5))
347.0ms	(* (* (cos (/ K 2.0)) J) (+ (* 1/60 (pow l 5)) (+ (* (pow l 3) 1/3) (* l 2))))
93.0ms	(* (cos (/ K 2.0)) J)
48.0ms	(* (pow l 3) 1/3)

simplify1.6s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	2902
1	495
0	184

prune777.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

localize48.0ms

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:

17.0ms	(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
1.0ms	(cbrt (cos (/ K 2.0)))
1.0ms	(cbrt (cos (/ K 2.0)))
1.0ms	(cbrt (cos (/ K 2.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

460.0ms	(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
250.0ms	(cbrt (cos (/ K 2.0)))
244.0ms	(cbrt (cos (/ K 2.0)))
225.0ms	(cbrt (cos (/ K 2.0)))

simplify3.5s

Counts

85 → 85

Iterations

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

prune717.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.3b

regimes942.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	34
1	34
0	24

end0.0ms

sample7.7s

Algorithm

intervals

Results

2.3s	2743×	body	1280	valid
2.1s	8444×	body	80	valid
1.6s	2607×	body	640	valid
611.0ms	1409×	body	320	valid
189.0ms	753×	body	160	valid