Details

sample335.0ms

Algorithm

intervals

Results

166.0ms	72×	body	1280	valid
59.0ms	45×	body	640	valid
58.0ms	195×	body	80	valid
23.0ms	23×	body	320	valid
11.0ms	16×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
3	1118
2	185
1	54
0	19

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.3b

localize50.0ms

Local error

Found 4 expressions with local error:

1.4b	(* (* (/ t l) (/ t l)) t)
2.7b	(* (sin k) (* (* (/ t l) (/ t l)) t))
4.1b	(/ (/ 2 (tan k)) (* (sin k) (* (* (/ t l) (/ t l)) t)))
15.1b	(/ (/ (/ 2 (tan k)) (* (sin k) (* (* (/ t l) (/ t l)) t))) (+ (* (/ k t) (/ k t)) 2))

rewrite358.0ms

Algorithm

rewrite-expression-head

Rules

209×	`add-cbrt-cube` `add-exp-log`
187×	`times-frac`
84×	`prod-exp` `cbrt-unprod`
81×	`cbrt-undiv` `div-exp`
75×	`add-sqr-sqrt`
74×	`*-un-lft-identity` `add-cube-cbrt`
35×	`associate-/l*`
28×	`associate-*l/`
25×	`associate-*r/`
23×	`associate-/r/`
18×	`pow1`
12×	`div-inv`
9×	`pow-prod-down`
7×	`frac-times`
6×	`tan-quot`
4×	`associate-/r` `associate-r` `associate-l*` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 263

Calls

4 calls:

31.0ms	(* (* (/ t l) (/ t l)) t)
97.0ms	(* (sin k) (* (* (/ t l) (/ t l)) t))
97.0ms	(/ (/ 2 (tan k)) (* (sin k) (* (* (/ t l) (/ t l)) t)))
127.0ms	(/ (/ (/ 2 (tan k)) (* (sin k) (* (* (/ t l) (/ t l)) t))) (+ (* (/ k t) (/ k t)) 2))

series1.2s

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (/ t l) (/ t l)) t)
111.0ms	(* (sin k) (* (* (/ t l) (/ t l)) t))
275.0ms	(/ (/ 2 (tan k)) (* (sin k) (* (* (/ t l) (/ t l)) t)))
771.0ms	(/ (/ (/ 2 (tan k)) (* (sin k) (* (* (/ t l) (/ t l)) t))) (+ (* (/ k t) (/ k t)) 2))

simplify732.0ms

Counts

275 → 275

Iterations

Iter	Nodes
done	2001
1	1235
0	448

prune1.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 13.1b

localize81.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (* (sin k) (* (/ t l) (/ t l))) t)
3.4b	(* (sin k) (* (/ t l) (/ t l)))
4.1b	(/ (/ 2 (tan k)) (* (* (sin k) (* (/ t l) (/ t l))) t))
15.1b	(/ (/ (/ 2 (tan k)) (* (* (sin k) (* (/ t l) (/ t l))) t)) (+ (* (/ k t) (/ k t)) 2))

rewrite395.0ms

Algorithm

rewrite-expression-head

Rules

209×	`add-cbrt-cube` `add-exp-log`
187×	`times-frac`
84×	`prod-exp` `cbrt-unprod`
81×	`cbrt-undiv` `div-exp`
75×	`add-sqr-sqrt`
74×	`*-un-lft-identity` `add-cube-cbrt`
35×	`associate-/l*`
28×	`associate-*r/`
25×	`associate-*l/`
23×	`associate-/r/`
18×	`pow1`
12×	`div-inv`
9×	`pow-prod-down`
7×	`frac-times`
6×	`tan-quot`
4×	`associate-/r` `associate-r` `associate-l*` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 263

Calls

4 calls:

98.0ms	(* (* (sin k) (* (/ t l) (/ t l))) t)
29.0ms	(* (sin k) (* (/ t l) (/ t l)))
112.0ms	(/ (/ 2 (tan k)) (* (* (sin k) (* (/ t l) (/ t l))) t))
146.0ms	(/ (/ (/ 2 (tan k)) (* (* (sin k) (* (/ t l) (/ t l))) t)) (+ (* (/ k t) (/ k t)) 2))

series1.6s

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (* (sin k) (* (/ t l) (/ t l))) t)
114.0ms	(* (sin k) (* (/ t l) (/ t l)))
372.0ms	(/ (/ 2 (tan k)) (* (* (sin k) (* (/ t l) (/ t l))) t))
897.0ms	(/ (/ (/ 2 (tan k)) (* (* (sin k) (* (/ t l) (/ t l))) t)) (+ (* (/ k t) (/ k t)) 2))

simplify1.1s

Counts

275 → 275

Iterations

Iter	Nodes
done	2010
1	1316
0	463

prune1.9s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 10.6b

localize116.0ms

Local error

Found 4 expressions with local error:

5.8b	(/ (/ (* (cbrt 2) (cbrt 2)) (* (* (sin k) (/ t l)) (/ t l))) (cbrt (+ (* (/ k t) (/ k t)) 2)))
20.2b	(cbrt (+ (* (/ k t) (/ k t)) 2))
20.2b	(cbrt (+ (* (/ k t) (/ k t)) 2))
20.2b	(cbrt (+ (* (/ k t) (/ k t)) 2))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-exp-log`
56×	`add-cbrt-cube`
55×	`times-frac`
39×	`cbrt-undiv` `div-exp`
36×	`cbrt-prod`
32×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`prod-exp` `cbrt-unprod`
23×	`associate-/r/`
21×	`associate-*r/`
8×	`cbrt-div` `div-inv` `associate-/l*`
7×	`frac-times` `associate-*l/`
6×	`associate-/r*`
4×	`pow1` `flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 148

Calls

4 calls:

74.0ms	(/ (/ (* (cbrt 2) (cbrt 2)) (* (* (sin k) (/ t l)) (/ t l))) (cbrt (+ (* (/ k t) (/ k t)) 2)))
7.0ms	(cbrt (+ (* (/ k t) (/ k t)) 2))
7.0ms	(cbrt (+ (* (/ k t) (/ k t)) 2))
11.0ms	(cbrt (+ (* (/ k t) (/ k t)) 2))

series1.9s

Counts

4 → 12

Calls

4 calls:

1.3s	(/ (/ (* (cbrt 2) (cbrt 2)) (* (* (sin k) (/ t l)) (/ t l))) (cbrt (+ (* (/ k t) (/ k t)) 2)))
194.0ms	(cbrt (+ (* (/ k t) (/ k t)) 2))
194.0ms	(cbrt (+ (* (/ k t) (/ k t)) 2))
192.0ms	(cbrt (+ (* (/ k t) (/ k t)) 2))

simplify1.1s

Counts

160 → 160

Iterations

Iter	Nodes
done	2002
1	904
0	307

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.6b

localize60.0ms

Local error

Found 4 expressions with local error:

3.4b	(/ (/ (* (cbrt 2) (cbrt 2)) (* (* (cbrt (+ (* (/ k t) (/ k t)) 2)) (* (sin k) (/ t l))) (/ t l))) (cbrt (+ (* (/ k t) (/ k t)) 2)))
20.2b	(cbrt (+ (* (/ k t) (/ k t)) 2))
20.2b	(cbrt (+ (* (/ k t) (/ k t)) 2))
20.2b	(cbrt (+ (* (/ k t) (/ k t)) 2))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

117×	`add-exp-log`
103×	`times-frac`
79×	`associate-/r/`
68×	`add-cbrt-cube`
64×	`cbrt-div`
63×	`frac-times` `associate-l/` `associate-r/`
60×	`cbrt-prod`
49×	`cbrt-undiv` `div-exp`
48×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
45×	`prod-exp` `cbrt-unprod`
32×	`flip3-+` `flip-+`
16×	`associate-/l*`
8×	`div-inv`
6×	`associate-/r*`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 212

Calls

4 calls:

216.0ms	(/ (/ (* (cbrt 2) (cbrt 2)) (* (* (cbrt (+ (* (/ k t) (/ k t)) 2)) (* (sin k) (/ t l))) (/ t l))) (cbrt (+ (* (/ k t) (/ k t)) 2)))
7.0ms	(cbrt (+ (* (/ k t) (/ k t)) 2))
19.0ms	(cbrt (+ (* (/ k t) (/ k t)) 2))
7.0ms	(cbrt (+ (* (/ k t) (/ k t)) 2))

series1.8s

Counts

4 → 12

Calls

4 calls:

1.3s	(/ (/ (* (cbrt 2) (cbrt 2)) (* (* (cbrt (+ (* (/ k t) (/ k t)) 2)) (* (sin k) (/ t l))) (/ t l))) (cbrt (+ (* (/ k t) (/ k t)) 2)))
187.0ms	(cbrt (+ (* (/ k t) (/ k t)) 2))
153.0ms	(cbrt (+ (* (/ k t) (/ k t)) 2))
177.0ms	(cbrt (+ (* (/ k t) (/ k t)) 2))

simplify1.4s

Counts

224 → 224

Iterations

Iter	Nodes
done	2014
1	1318
0	445

prune1.8s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.6b

regimes583.0ms

Accuracy

0% (2.0b remaining)

Error of 13.7b against oracle of 11.7b and baseline of 13.7b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	27
1	27
0	22

end0.0ms

sample15.0s

Algorithm

intervals

Results

5.5s	2037×	body	1280	valid
4.8s	1754×	body	640	valid
2.3s	5882×	body	80	valid
1.3s	846×	body	320	valid
781.0ms	452×	body	160	valid