Details

sample240.0ms

Algorithm

intervals

Results

75.0ms	103×	body	1280	valid
73.0ms	99×	body	640	valid
29.0ms	274×	body	80	valid
16.0ms	38×	body	320	valid
6.0ms	25×	body	160	valid

simplify3.8s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp l) J)
0.0b	(* (- (* (exp l) J) (/ J (exp l))) (cos (/ K 2.0)))
5.9b	(- (* (exp l) J) (/ J (exp l)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
6×	`associate-r` `associate-l` `add-exp-log`
5×	`add-log-exp`
2×	`flip3--` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`sub-neg` `diff-log`

Counts

3 → 50

Calls

3 calls:

17.0ms	(* (exp l) J)
72.0ms	(* (- (* (exp l) J) (/ J (exp l))) (cos (/ K 2.0)))
15.0ms	(- (* (exp l) J) (/ J (exp l)))

series300.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (exp l) J)
151.0ms	(* (- (* (exp l) J) (/ J (exp l))) (cos (/ K 2.0)))
122.0ms	(- (* (exp l) J) (/ J (exp l)))

simplify2.5s

Counts

59 → 59

Iterations

Iter	Nodes
done	5004
3	3305
2	718
1	244
0	104

prune516.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ U (* (* J (+ l l)) (cos (/ K 2.0))))
0.2b	(* (* J (+ l l)) (cos (/ K 2.0)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`flip3-+` `associate-l/` `associate-r/` `flip-+`
1×	`+-commutative` `sum-log` `associate-l` `*-commutative`

Counts

2 → 31

Calls

2 calls:

15.0ms	(+ U (* (* J (+ l l)) (cos (/ K 2.0))))
53.0ms	(* (* J (+ l l)) (cos (/ K 2.0)))

series217.0ms

Counts

2 → 6

Calls

2 calls:

140.0ms	(+ U (* (* J (+ l l)) (cos (/ K 2.0))))
77.0ms	(* (* J (+ l l)) (cos (/ K 2.0)))

simplify4.0s

Counts

37 → 37

Iterations

Iter	Nodes
done	5004
3	4315
2	830
1	225
0	80

prune299.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ U (* (* J (cos (* 0.5 K))) (+ l l)))
0.1b	(* (* J (cos (* 0.5 K))) (+ l l))
0.1b	(* J (cos (* 0.5 K)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-r`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-rgt-out` `distribute-lft-out`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-r/` `-commutative` `flip-+`
1×	`+-commutative` `sum-log` `distribute-lft1-in` `count-2` `distribute-rgt1-in` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

7.0ms	(+ U (* (* J (cos (* 0.5 K))) (+ l l)))
58.0ms	(* (* J (cos (* 0.5 K))) (+ l l))
12.0ms	(* J (cos (* 0.5 K)))

series279.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(+ U (* (* J (cos (* 0.5 K))) (+ l l)))
113.0ms	(* (* J (cos (* 0.5 K))) (+ l l))
49.0ms	(* J (cos (* 0.5 K)))

simplify1.4s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1118
1	295
0	104

prune432.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* l (* J (cos (* 0.5 K))))
0.1b	(* l (* J (cos (* 0.5 K))))
0.1b	(* J (cos (* 0.5 K)))
0.1b	(* J (cos (* 0.5 K)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`*-commutative` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 72

Calls

4 calls:

39.0ms	(* l (* J (cos (* 0.5 K))))
29.0ms	(* l (* J (cos (* 0.5 K))))
20.0ms	(* J (cos (* 0.5 K)))
11.0ms	(* J (cos (* 0.5 K)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* l (* J (cos (* 0.5 K))))
73.0ms	(* l (* J (cos (* 0.5 K))))
50.0ms	(* J (cos (* 0.5 K)))
48.0ms	(* J (cos (* 0.5 K)))

simplify2.6s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	1597
2	400
1	127
0	57

prune460.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes603.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.1s	2716×	body	1280	valid
1.6s	2651×	body	640	valid
1.5s	8432×	body	80	valid
1.0s	1425×	body	320	valid
141.0ms	711×	body	160	valid