Details

sample306.0ms

Algorithm

intervals

Results

104.0ms	87×	body	1280	valid
61.0ms	75×	body	640	valid
52.0ms	38×	body	320	valid
49.0ms	259×	body	80	valid
9.0ms	23×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
9	2326
8	1689
7	945
6	535
5	284
4	183
3	80
2	41
1	23
0	14

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.4b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* J (- (exp l) (exp (- l))))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
5.7b	(- (exp l) (exp (- l)))

rewrite92.0ms

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:

33.0ms	(* J (- (exp l) (exp (- l))))
48.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
10.0ms	(- (exp l) (exp (- l)))

series242.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* J (- (exp l) (exp (- l))))
126.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
41.0ms	(- (exp l) (exp (- l)))

simplify1.0s

Counts

72 → 72

Iterations

Iter	Nodes
3	3015
2	731
1	276
0	114

prune896.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

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

76.0ms	(* l (+ (* 1/3 (* l l)) 2))
16.0ms	(* (pow l 5) 1/60)
57.0ms	(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
13.0ms	(* 1/3 (* l l))

series484.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* l (+ (* 1/3 (* l l)) 2))
92.0ms	(* (pow l 5) 1/60)
220.0ms	(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
51.0ms	(* 1/3 (* l l))

simplify6.9s

Counts

102 → 102

Iterations

Iter	Nodes
3	11459
2	1950
1	515
0	180

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite493.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

145.0ms	(* 1/60 (* (* l (* l l)) (* l l)))
164.0ms	(* J (* (+ (+ (* 2 l) (* 1/60 (* (* l (* l l)) (* l l)))) (* (* (* l l) l) 1/3)) (cos (/ K 2))))
122.0ms	(* (+ (+ (* 2 l) (* 1/60 (* (* l (* l l)) (* l l)))) (* (* (* l l) l) 1/3)) (cos (/ K 2)))
59.0ms	(* (* (* l l) l) 1/3)

series532.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* 1/60 (* (* l (* l l)) (* l l)))
258.0ms	(* J (* (+ (+ (* 2 l) (* 1/60 (* (* l (* l l)) (* l l)))) (* (* (* l l) l) 1/3)) (cos (/ K 2))))
131.0ms	(* (+ (+ (* 2 l) (* 1/60 (* (* l (* l l)) (* l l)))) (* (* (* l l) l) 1/3)) (cos (/ K 2)))
60.0ms	(* (* (* l l) l) 1/3)

simplify6.5s

Counts

110 → 110

Iterations

Iter	Nodes
3	11220
2	1969
1	552
0	191

prune1.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize105.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) J))
0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
6×	`add-cbrt-cube` `associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 58

Calls

4 calls:

41.0ms	(* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) J))
2.0ms	(cbrt (cos (/ K 2)))
2.0ms	(cbrt (cos (/ K 2)))
2.0ms	(cbrt (cos (/ K 2)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) J))
154.0ms	(cbrt (cos (/ K 2)))
126.0ms	(cbrt (cos (/ K 2)))
181.0ms	(cbrt (cos (/ K 2)))

simplify2.3s

Counts

70 → 70

Iterations

Iter	Nodes
5	3536
4	1632
3	794
2	332
1	143
0	65

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes706.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	30
1	30
0	21

end0.0ms

sample9.7s

Algorithm

intervals

Results

3.0s	2657×	body	1280	valid
2.9s	2588×	body	640	valid
2.1s	8398×	body	80	valid
864.0ms	1385×	body	320	valid
270.0ms	761×	body	160	valid