Details

sample327.0ms

Algorithm

intervals

Results

94.0ms	80×	body	1280	valid
87.0ms	255×	body	80	valid
76.0ms	81×	body	640	valid
26.0ms	49×	body	320	valid
10.0ms	28×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.7b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(* J (- (exp l) (exp (- l))))
0.0b	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
7.4b	(- (exp l) (exp (- l)))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
8×	`associate-r` `add-log-exp`
7×	`add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16`
3×	`sub-neg` `flip3--` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

58.0ms	(* J (- (exp l) (exp (- l))))
76.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
92.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
27.0ms	(- (exp l) (exp (- l)))

series556.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* J (- (exp l) (exp (- l))))
260.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
154.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
46.0ms	(- (exp l) (exp (- l)))

simplify1.6s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1074
1	378
0	147

prune578.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite125.0ms

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:

26.0ms	(* 2 (* J l))
60.0ms	(+ (* (* 2 (* J l)) (cos (/ K 2))) U)
39.0ms	(* (* 2 (* J l)) (cos (/ K 2)))

series244.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* 2 (* J l))
129.0ms	(+ (* (* 2 (* J l)) (cos (/ K 2))) U)
76.0ms	(* (* 2 (* J l)) (cos (/ K 2)))

simplify3.8s

Counts

62 → 62

Iterations

Iter	Nodes
done	5002
3	3987
2	812
1	247
0	94

prune343.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

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)))
0.3b	(* (sqrt 2) (* J l))

rewrite368.0ms

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:

141.0ms	(+ (* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2))) U)
142.0ms	(* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2)))
52.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))
29.0ms	(* (sqrt 2) (* J l))

series587.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(+ (* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2))) U)
173.0ms	(* (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2)))
101.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))
79.0ms	(* (sqrt 2) (* J l))

simplify2.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1257
1	318
0	119

prune485.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow (* (* (cos (/ K 2)) (* 2 J)) l) 1) U)
0.1b	(* (* (cos (/ K 2)) (* 2 J)) l)
0.1b	(* (cos (/ K 2)) (* 2 J))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

23.0ms	(+ (pow (* (* (cos (/ K 2)) (* 2 J)) l) 1) U)
45.0ms	(* (* (cos (/ K 2)) (* 2 J)) l)
26.0ms	(* (cos (/ K 2)) (* 2 J))

series293.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(+ (pow (* (* (cos (/ K 2)) (* 2 J)) l) 1) U)
97.0ms	(* (* (cos (/ K 2)) (* 2 J)) l)
64.0ms	(* (cos (/ K 2)) (* 2 J))

simplify3.8s

Counts

63 → 63

Iterations

Iter	Nodes
done	5008
3	4787
2	1008
1	276
0	107

prune351.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes559.0ms

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	22
1	22
0	14

end0.0ms

sample9.6s

Algorithm

intervals

Results

4.2s	2688×	body	1280	valid
2.1s	2618×	body	640	valid
1.6s	8327×	body	80	valid
804.0ms	1422×	body	320	valid
266.0ms	754×	body	160	valid