Details

sample334.0ms

Algorithm

intervals

Results

108.0ms	90×	body	1280	valid
105.0ms	91×	body	640	valid
46.0ms	247×	body	80	valid
34.0ms	57×	body	320	valid
8.0ms	19×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
7	2000
6	1004
5	361
4	183
3	80
2	41
1	23
0	14

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.3b

localize45.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))
5.6b	(- (exp l) (exp (- l)))

rewrite189.0ms

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:

100.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
67.0ms	(* J (- (exp l) (exp (- l))))
22.0ms	(- (exp l) (exp (- l)))

series330.0ms

Counts

3 → 9

Calls

3 calls:

163.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
98.0ms	(* J (- (exp l) (exp (- l))))
68.0ms	(- (exp l) (exp (- l)))

simplify1.4s

Counts

72 → 72

Iterations

Iter	Nodes
done	2001
3	2001
2	892
1	287
0	114

prune500.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 2 (* J l)) (cos (/ K 2))) U)
0.0b	(* 2 (* J l))
0.1b	(* (* 2 (* J l)) (cos (/ K 2)))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`insert-posit16`
2×	`*-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 53

Calls

3 calls:

71.0ms	(+ (* (* 2 (* J l)) (cos (/ K 2))) U)
33.0ms	(* 2 (* J l))
69.0ms	(* (* 2 (* J l)) (cos (/ K 2)))

series235.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(+ (* (* 2 (* J l)) (cos (/ K 2))) U)
22.0ms	(* 2 (* J l))
80.0ms	(* (* 2 (* J l)) (cos (/ K 2)))

simplify1.4s

Counts

62 → 62

Iterations

Iter	Nodes
done	2000
3	2000
2	836
1	247
0	94

prune381.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2))) U)
0.1b	(* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2)))
0.3b	(* (sqrt 2) (* (sqrt 2) (* J l)))
0.4b	(* (sqrt 2) (* J l))

rewrite438.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-cbrt-cube` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-prod` `add-log-exp`
5×	`associate-r`
4×	`insert-posit16`
3×	`*-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 84

Calls

4 calls:

146.0ms	(+ (* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2))) U)
191.0ms	(* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2)))
67.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))
30.0ms	(* (sqrt 2) (* J l))

series706.0ms

Counts

4 → 12

Calls

4 calls:

311.0ms	(+ (* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2))) U)
216.0ms	(* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2)))
112.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))
67.0ms	(* (sqrt 2) (* J l))

simplify1.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	2003
3	2003
2	1257
1	318
0	119

prune438.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt 2) (* (* (sqrt 2) (* J l)) (cos (/ K 2)))) U)
0.1b	(* (* (sqrt 2) (* J l)) (cos (/ K 2)))
0.4b	(* (sqrt 2) (* J l))
0.4b	(* (sqrt 2) (* (* (sqrt 2) (* J l)) (cos (/ K 2))))

rewrite489.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-cbrt-cube` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-prod` `add-log-exp`
5×	`associate-r`
4×	`insert-posit16`
3×	`*-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 84

Calls

4 calls:

176.0ms	(+ (* (sqrt 2) (* (* (sqrt 2) (* J l)) (cos (/ K 2)))) U)
86.0ms	(* (* (sqrt 2) (* J l)) (cos (/ K 2)))
31.0ms	(* (sqrt 2) (* J l))
194.0ms	(* (sqrt 2) (* (* (sqrt 2) (* J l)) (cos (/ K 2))))

series623.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(+ (* (sqrt 2) (* (* (sqrt 2) (* J l)) (cos (/ K 2)))) U)
155.0ms	(* (* (sqrt 2) (* J l)) (cos (/ K 2)))
59.0ms	(* (sqrt 2) (* J l))
166.0ms	(* (sqrt 2) (* (* (sqrt 2) (* J l)) (cos (/ K 2))))

simplify1.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	2002
3	2002
2	1281
1	330
0	121

prune543.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes794.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample10.8s

Algorithm

intervals

Results

4.1s	2701×	body	1280	valid
2.6s	2471×	body	640	valid
2.1s	8376×	body	80	valid
1.0s	1437×	body	320	valid
299.0ms	742×	body	160	valid