Details

sample317.0ms

Algorithm

intervals

Results

107.0ms	92×	body	1280	valid
91.0ms	87×	body	640	valid
49.0ms	294×	body	80	valid
33.0ms	51×	body	320	valid
9.0ms	13×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize33.0ms

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)))
4.8b	(- (exp l) (exp (- l)))

rewrite183.0ms

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--` `insert-posit16` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

63.0ms	(* J (- (exp l) (exp (- l))))
99.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
21.0ms	(- (exp l) (exp (- l)))

series269.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(* J (- (exp l) (exp (- l))))
161.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
43.0ms	(- (exp l) (exp (- l)))

simplify3.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	3987
2	847
1	282
0	114

prune473.0ms

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

rewrite340.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
19×	`add-sqr-sqrt`
18×	`add-cbrt-cube`
16×	`pow1`
14×	`associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r` `prod-exp`
8×	`cbrt-unprod`
7×	`pow-prod-down`
5×	`unswap-sqr`
4×	`unpow-prod-down` `associate-r/` `-commutative` `insert-posit16` `add-log-exp`
2×	`flip3-+` `associate-*l/` `flip-+` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow-exp`

Counts

4 → 90

Calls

4 calls:

117.0ms	(* J (+ (* l (+ (* 1/3 (* l l)) 2)) (* (pow l 5) 1/60)))
15.0ms	(* (pow l 5) 1/60)
184.0ms	(* (* J (+ (* l (+ (* 1/3 (* l l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
22.0ms	(* 1/3 (* l l))

series531.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* J (+ (* l (+ (* 1/3 (* l l)) 2)) (* (pow l 5) 1/60)))
69.0ms	(* (pow l 5) 1/60)
234.0ms	(* (* J (+ (* l (+ (* 1/3 (* l l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
34.0ms	(* 1/3 (* l l))

simplify2.0s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	1899
1	481
0	170

prune749.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 1/3 l) l)
0.3b	(* 1/3 l)
3.4b	(* (* J 1/60) (pow l 5))
4.0b	(* (* l (* (* 1/3 l) l)) J)

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
30×	`add-cbrt-cube`
25×	`pow1`
23×	`prod-exp`
17×	`cbrt-unprod`
16×	`associate-r`
14×	`pow-prod-down`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unpow-prod-down`
2×	`pow-to-exp` `pow-exp`
1×	`unswap-sqr` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

27.0ms	(* (* 1/3 l) l)
10.0ms	(* 1/3 l)
32.0ms	(* (* J 1/60) (pow l 5))
169.0ms	(* (* l (* (* 1/3 l) l)) J)

series209.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* 1/3 l) l)
16.0ms	(* 1/3 l)
112.0ms	(* (* J 1/60) (pow l 5))
35.0ms	(* (* l (* (* 1/3 l) l)) J)

simplify1.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1480
1	396
0	141

prune605.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
19×	`add-sqr-sqrt`
18×	`add-cbrt-cube`
16×	`pow1` `associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`prod-exp`
8×	`associate-r` `cbrt-unprod`
7×	`pow-prod-down`
5×	`unswap-sqr`
4×	`unpow-prod-down` `associate-l/` `-commutative` `insert-posit16` `add-log-exp`
2×	`flip3-+` `associate-*r/` `flip-+` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 88

Calls

4 calls:

8.0ms	(* (pow l 5) 1/60)
142.0ms	(* J (* (+ (* l (+ (* 1/3 (* l l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
103.0ms	(* (+ (* l (+ (* 1/3 (* l l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
13.0ms	(* 1/3 (* l l))

series505.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (pow l 5) 1/60)
276.0ms	(* J (* (+ (* l (+ (* 1/3 (* l l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
117.0ms	(* (+ (* l (+ (* 1/3 (* l l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
42.0ms	(* 1/3 (* l l))

simplify1.9s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	1640
1	455
0	173

prune569.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes405.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	35
1	35
0	23

end0.0ms

sample10.3s

Algorithm

intervals

Results

4.4s	2644×	body	1280	valid
2.4s	2558×	body	640	valid
1.7s	8331×	body	80	valid
885.0ms	1460×	body	320	valid
285.0ms	732×	body	160	valid