Details

sample318.0ms

Algorithm

intervals

Results

115.0ms	99×	body	1280	valid
74.0ms	271×	body	80	valid
65.0ms	82×	body	640	valid
26.0ms	44×	body	320	valid
10.0ms	26×	body	160	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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.4b

localize47.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
5.8b	(- (exp l) (exp (- l)))

rewrite89.0ms

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:

68.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
21.0ms	(- (exp l) (exp (- l)))

series181.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
71.0ms	(- (exp l) (exp (- l)))

simplify1.4s

Counts

42 → 42

Iterations

Iter	Nodes
3	3079
2	684
1	239
0	96

prune561.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

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)

rewrite270.0ms

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:

74.0ms	(* l (+ (* (* l l) 1/3) 2))
15.0ms	(* 1/60 (pow l 5))
153.0ms	(* (* J (+ (* l (+ (* (* l l) 1/3) 2)) (* 1/60 (pow l 5)))) (cos (/ K 2)))
26.0ms	(* (* l l) 1/3)

series467.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* l (+ (* (* l l) 1/3) 2))
80.0ms	(* 1/60 (pow l 5))
246.0ms	(* (* J (+ (* l (+ (* (* l l) 1/3) 2)) (* 1/60 (pow l 5)))) (cos (/ K 2)))
38.0ms	(* (* l l) 1/3)

simplify6.1s

Counts

102 → 102

Iterations

Iter	Nodes
3	10022
2	1768
1	509
0	184

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite522.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

60.0ms	(* (* l (* l l)) (* l l))
257.0ms	(* J (* (+ (+ (* 2 l) (* (* l (* l l)) 1/3)) (* 1/60 (* (* l (* l l)) (* l l)))) (cos (/ K 2))))
72.0ms	(* (* l (* l l)) 1/3)
129.0ms	(* (+ (+ (* 2 l) (* (* l (* l l)) 1/3)) (* 1/60 (* (* l (* l l)) (* l l)))) (cos (/ K 2)))

series467.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (* l (* l l)) (* l l))
218.0ms	(* J (* (+ (+ (* 2 l) (* (* l (* l l)) 1/3)) (* 1/60 (* (* l (* l l)) (* l l)))) (cos (/ K 2))))
52.0ms	(* (* l (* l l)) 1/3)
138.0ms	(* (+ (+ (* 2 l) (* (* l (* l l)) 1/3)) (* 1/60 (* (* l (* l l)) (* l l)))) (cos (/ K 2)))

simplify5.9s

Counts

125 → 125

Iterations

Iter	Nodes
3	9864
2	1683
1	471
0	180

prune1.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 1/3 l) l)
0.1b	(* (* l (+ (* (* l l) (* (* l l) 1/60)) (+ 2 (* (* 1/3 l) l)))) (cos (/ K 2)))
0.2b	(* (* l l) 1/60)
0.4b	(* 1/3 l)

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt` `associate-r`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-l/` `associate-r/` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 79

Calls

4 calls:

13.0ms	(* (* 1/3 l) l)
228.0ms	(* (* l (+ (* (* l l) (* (* l l) 1/60)) (+ 2 (* (* 1/3 l) l)))) (cos (/ K 2)))
22.0ms	(* (* l l) 1/60)
5.0ms	(* 1/3 l)

series212.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* 1/3 l) l)
123.0ms	(* (* l (+ (* (* l l) (* (* l l) 1/60)) (+ 2 (* (* 1/3 l) l)))) (cos (/ K 2)))
30.0ms	(* (* l l) 1/60)
16.0ms	(* 1/3 l)

simplify6.7s

Counts

91 → 91

Iterations

Iter	Nodes
3	8827
2	1626
1	437
0	149

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes753.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	28
1	28
0	20

end0.0ms

sample10.0s

Algorithm

intervals

Results

3.8s	2689×	body	1280	valid
2.1s	2653×	body	640	valid
1.8s	1415×	body	320	valid
1.4s	8398×	body	80	valid
318.0ms	779×	body	160	valid