Details

sample154.0ms

Algorithm

intervals

Results

53.0ms	102×	body	640	valid
42.0ms	85×	body	1280	valid
17.0ms	243×	body	80	valid
11.0ms	44×	body	320	valid
4.0ms	24×	body	160	valid

simplify351.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.7b

localize16.0ms

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))))
7.5b	(- (exp l) (exp (- l)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `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:

63.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
46.0ms	(* J (- (exp l) (exp (- l))))
35.0ms	(- (exp l) (exp (- l)))

series208.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
60.0ms	(* J (- (exp l) (exp (- l))))
43.0ms	(- (exp l) (exp (- l)))

simplify34.0ms

Counts: 69 → 69

prune222.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 2 (* J l)) (cos (/ K 2.0))) U)
0.0b	(* 2 (* J l))
0.1b	(* (* 2 (* J l)) (cos (/ K 2.0)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

44.0ms	(+ (* (* 2 (* J l)) (cos (/ K 2.0))) U)
18.0ms	(* 2 (* J l))
48.0ms	(* (* 2 (* J l)) (cos (/ K 2.0)))

series196.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+ (* (* 2 (* J l)) (cos (/ K 2.0))) U)
21.0ms	(* 2 (* J l))
70.0ms	(* (* 2 (* J l)) (cos (/ K 2.0)))

simplify37.0ms

Counts: 59 → 59

prune141.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2 (* J (* (cos (* 0.5 K)) l))) U)
0.0b	(* 2 (* J (* (cos (* 0.5 K)) l)))
0.1b	(* (cos (* 0.5 K)) l)
0.1b	(* J (* (cos (* 0.5 K)) l))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-r`
3×	`*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

58.0ms	(+ (* 2 (* J (* (cos (* 0.5 K)) l))) U)
71.0ms	(* 2 (* J (* (cos (* 0.5 K)) l)))
16.0ms	(* (cos (* 0.5 K)) l)
36.0ms	(* J (* (cos (* 0.5 K)) l))

series296.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (* 2 (* J (* (cos (* 0.5 K)) l))) U)
76.0ms	(* 2 (* J (* (cos (* 0.5 K)) l)))
49.0ms	(* (cos (* 0.5 K)) l)
63.0ms	(* J (* (cos (* 0.5 K)) l))

simplify37.0ms

Counts: 80 → 80

prune192.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos (* 0.5 K))) (cbrt (cos (* 0.5 K))))
0.3b	(cbrt (cos (* 0.5 K)))
0.3b	(cbrt (cos (* 0.5 K)))
0.3b	(cbrt (cos (* 0.5 K)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

25.0ms	(* (cbrt (cos (* 0.5 K))) (cbrt (cos (* 0.5 K))))
3.0ms	(cbrt (cos (* 0.5 K)))
3.0ms	(cbrt (cos (* 0.5 K)))
3.0ms	(cbrt (cos (* 0.5 K)))

series803.0ms

Counts

4 → 12

Calls

4 calls:

323.0ms	(* (cbrt (cos (* 0.5 K))) (cbrt (cos (* 0.5 K))))
158.0ms	(cbrt (cos (* 0.5 K)))
161.0ms	(cbrt (cos (* 0.5 K)))
161.0ms	(cbrt (cos (* 0.5 K)))

simplify92.0ms

Counts: 85 → 85

prune279.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes285.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.8s

Algorithm

intervals

Results

1.7s	2781×	body	1280	valid
1.3s	2644×	body	640	valid
1.1s	1396×	body	320	valid
900.0ms	8234×	body	80	valid
111.0ms	769×	body	160	valid