Details

sample203.0ms

Algorithm

intervals

Results

83.0ms	96×	body	1280	valid
41.0ms	86×	body	640	valid
25.0ms	271×	body	80	valid
16.0ms	51×	body	320	valid
4.0ms	20×	body	160	valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 5 (193.0ms)

Iter	Nodes	Cost
0	14	445
1	23	445
2	41	376
3	80	376
4	183	376
5	361	375
6	1004	375
7	3179	375
done	5000	375

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.6b

localize35.0ms

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))))
6.8b	(- (exp l) (exp (- l)))

rewrite123.0ms

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:

50.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
50.0ms	(* J (- (exp l) (exp (- l))))
21.0ms	(- (exp l) (exp (- l)))

series308.0ms

Counts

3 → 9

Calls

3 calls:

175.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
73.0ms	(* J (- (exp l) (exp (- l))))
60.0ms	(- (exp l) (exp (- l)))

simplify5.5s

Counts

69 → 69

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	113	25453
1	287	24023
2	884	20170
3	4009	19292
done	5003	19292

prune531.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

56.0ms	(* l (+ (* 1/3 (* l l)) 2))
12.0ms	(* 1/60 (pow l 5))
41.0ms	(* (* J (+ (* 1/60 (pow l 5)) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2.0)))
14.0ms	(* 1/3 (* l l))

series504.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* l (+ (* 1/3 (* l l)) 2))
90.0ms	(* 1/60 (pow l 5))
238.0ms	(* (* J (+ (* 1/60 (pow l 5)) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2.0)))
43.0ms	(* 1/3 (* l l))

simplify2.6s

Counts

98 → 98

Iterations

Useful iterations: 2 (832.0ms)

Iter	Nodes	Cost
0	179	34339
1	541	31102
2	2046	30781
done	5010	30781

prune772.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

12.0ms	(* 1/60 (pow l 5))
61.0ms	(* J (* (+ (* 1/60 (pow l 5)) (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2.0))))
25.0ms	(* (+ (* 1/60 (pow l 5)) (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2.0)))
26.0ms	(* 1/3 (* l l))

series447.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* 1/60 (pow l 5))
236.0ms	(* J (* (+ (* 1/60 (pow l 5)) (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2.0))))
107.0ms	(* (+ (* 1/60 (pow l 5)) (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2.0)))
33.0ms	(* 1/3 (* l l))

simplify2.9s

Counts

96 → 96

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	172	43829
1	453	40502
2	1537	40142
done	5004	39862

prune756.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/3 (* l l))
0.2b	(* 1/3 (* l l))
0.4b	(* (* l (sqrt (+ (* 1/3 (* l l)) 2))) (sqrt (+ (* 1/3 (* l l)) 2)))
0.5b	(* l (sqrt (+ (* 1/3 (* l l)) 2)))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
14×	`sqrt-div` `associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
7×	`flip3-+` `sqrt-prod` `flip-+`
4×	`frac-times` `*-commutative` `add-log-exp` `unswap-sqr`
2×	`associate-*l/`

Counts

4 → 91

Calls

4 calls:

19.0ms	(* 1/3 (* l l))
21.0ms	(* 1/3 (* l l))
175.0ms	(* (* l (sqrt (+ (* 1/3 (* l l)) 2))) (sqrt (+ (* 1/3 (* l l)) 2)))
66.0ms	(* l (sqrt (+ (* 1/3 (* l l)) 2)))

series400.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* 1/3 (* l l))
29.0ms	(* 1/3 (* l l))
140.0ms	(* (* l (sqrt (+ (* 1/3 (* l l)) 2))) (sqrt (+ (* 1/3 (* l l)) 2)))
188.0ms	(* l (sqrt (+ (* 1/3 (* l l)) 2)))

simplify3.1s

Counts

103 → 103

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	139	29921
1	410	22867
2	1807	22183
done	5001	21986

prune739.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes743.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	21	679
1	29	679
done	29	679

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.0s	2703×	body	1280	valid
1.9s	8223×	body	80	valid
1.5s	2588×	body	640	valid
652.0ms	1445×	body	320	valid
161.0ms	756×	body	160	valid