Details

sample186.0ms

Algorithm

intervals

Results

60.0ms	87×	body	1280	valid
41.0ms	87×	body	640	valid
28.0ms	253×	body	80	valid
23.0ms	34×	body	160	valid
14.0ms	42×	body	320	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
9	2396
8	1697
7	948
6	527
5	277
4	181
3	78
2	39
1	23
0	14

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.1b

localize43.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
6.8b	(- (exp l) (exp (- l)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

45.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
10.0ms	(- (exp l) (exp (- l)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
42.0ms	(- (exp l) (exp (- l)))

simplify1.3s

Counts

42 → 42

Iterations

Iter	Nodes
3	3079
2	684
1	239
0	96

prune616.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
19×	`add-sqr-sqrt`
18×	`add-cbrt-cube`
16×	`pow1` `associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`prod-exp`
8×	`associate-l` `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:

62.0ms	(* l (+ (* (* l l) 1/3) 2))
16.0ms	(* 1/60 (pow l 5))
147.0ms	(* (* J (+ (* l (+ (* (* l l) 1/3) 2)) (* 1/60 (pow l 5)))) (cos (/ K 2)))
14.0ms	(* (* l l) 1/3)

series479.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* l (+ (* (* l l) 1/3) 2))
77.0ms	(* 1/60 (pow l 5))
214.0ms	(* (* J (+ (* l (+ (* (* l l) 1/3) 2)) (* 1/60 (pow l 5)))) (cos (/ K 2)))
39.0ms	(* (* l l) 1/3)

simplify6.7s

Counts

102 → 102

Iterations

Iter	Nodes
3	10022
2	1768
1	509
0	184

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.1b	(* l (* l l))
0.1b	(* l (* l l))
0.1b	(* (* (+ (+ (* 2 l) (* (* l (* l l)) 1/3)) (* 1/60 (* (* l (* l l)) (* l l)))) J) (cos (/ K 2)))
0.1b	(* (* l (* l l)) 1/3)

rewrite387.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
28×	`add-cbrt-cube` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `pow-prod-up`
8×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`associate-l/` `-commutative` `insert-posit16` `add-log-exp`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 93

Calls

4 calls:

13.0ms	(* l (* l l))
25.0ms	(* l (* l l))
280.0ms	(* (* (+ (+ (* 2 l) (* (* l (* l l)) 1/3)) (* 1/60 (* (* l (* l l)) (* l l)))) J) (cos (/ K 2)))
67.0ms	(* (* l (* l l)) 1/3)

series351.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* l (* l l))
40.0ms	(* l (* l l))
201.0ms	(* (* (+ (+ (* 2 l) (* (* l (* l l)) 1/3)) (* 1/60 (* (* l (* l l)) (* l l)))) J) (cos (/ K 2)))
61.0ms	(* (* l (* l l)) 1/3)

simplify4.0s

Counts

105 → 105

Iterations

Iter	Nodes
3	6828
2	1271
1	363
0	132

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(* l (* l l))
0.1b	(* J (* (+ (+ (* 2 l) (* (* l (* l l)) 1/3)) (* 1/60 (* (* l (* l l)) (* l l)))) (cos (/ K 2))))
0.1b	(* (+ (+ (* 2 l) (* (* l (* l l)) 1/3)) (* 1/60 (* (* l (* l l)) (* l l)))) (cos (/ K 2)))
0.1b	(* (* l (* l l)) 1/3)

rewrite518.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1`
25×	`add-cbrt-cube` `add-exp-log`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
10×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
5×	`pow-prod-up`
4×	`associate-l/` `-commutative` `insert-posit16` `add-log-exp`
2×	`flip3-+` `associate-*r/` `flip-+` `unswap-sqr`
1×	`pow2` `pow-plus` `cube-unmult` `pow-sqr`

Counts

4 → 89

Calls

4 calls:

26.0ms	(* l (* l l))
246.0ms	(* J (* (+ (+ (* 2 l) (* (* l (* l l)) 1/3)) (* 1/60 (* (* l (* l l)) (* l l)))) (cos (/ K 2))))
202.0ms	(* (+ (+ (* 2 l) (* (* l (* l l)) 1/3)) (* 1/60 (* (* l (* l l)) (* l l)))) (cos (/ K 2)))
42.0ms	(* (* l (* l l)) 1/3)

series475.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* l (* l l))
230.0ms	(* J (* (+ (+ (* 2 l) (* (* l (* l l)) 1/3)) (* 1/60 (* (* l (* l l)) (* l l)))) (cos (/ K 2))))
143.0ms	(* (+ (+ (* 2 l) (* (* l (* l l)) 1/3)) (* 1/60 (* (* l (* l l)) (* l l)))) (cos (/ K 2)))
51.0ms	(* (* l (* l l)) 1/3)

simplify6.4s

Counts

101 → 101

Iterations

Iter	Nodes
3	9507
2	1545
1	421
0	157

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes422.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	30
1	30
0	20

end0.0ms

sample9.7s

Algorithm

intervals

Results

3.5s	2515×	body	1280	valid
2.5s	2601×	body	640	valid
2.2s	8391×	body	80	valid
740.0ms	1462×	body	320	valid
256.0ms	728×	body	160	valid