Details

sample184.0ms

Algorithm

intervals

Results

90.0ms	91×	body	1280	valid
29.0ms	262×	body	80	valid
28.0ms	60×	body	640	valid
13.0ms	38×	body	320	valid
4.0ms	20×	body	160	valid

simplify132.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	113
7	113
6	101
5	91
4	79
3	70
2	48
1	25
0	12

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (cos th) (sqrt 2)) (* a1 a1))
0.3b	(* (/ (cos th) (sqrt 2)) (* a2 a2))
0.7b	(/ (cos th) (sqrt 2))
0.7b	(/ (cos th) (sqrt 2))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
70×	`add-sqr-sqrt`
60×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-l` `sqrt-prod`
32×	`add-cbrt-cube` `add-exp-log`
14×	`pow1`
12×	`associate-/r*` `prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/l*` `unswap-sqr`
4×	`insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r` `associate-l/` `-commutative`

Counts

4 → 172

Calls

4 calls:

34.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
31.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
12.0ms	(/ (cos th) (sqrt 2))
9.0ms	(/ (cos th) (sqrt 2))

series485.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
147.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
93.0ms	(/ (cos th) (sqrt 2))
79.0ms	(/ (cos th) (sqrt 2))

simplify1.6s

Counts

184 → 184

Iterations

Iter	Nodes
done	5007
2	1563
1	533
0	183

prune899.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (cos th) (sqrt 2)) (* a2 a2))
0.6b	(/ (cos th) (sqrt (sqrt 2)))
0.6b	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.7b	(/ (cos th) (sqrt 2))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

616×	`sqrt-prod`
614×	`times-frac`
345×	`add-sqr-sqrt`
340×	`*-un-lft-identity` `add-cube-cbrt`
37×	`associate-/l*`
25×	`add-cbrt-cube` `add-exp-log`
24×	`associate-/r*`
22×	`associate-l`
14×	`div-inv`
9×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `unswap-sqr`
1×	`associate-r` `associate-l/` `-commutative` `associate-/l/`

Counts

4 → 473

Calls

4 calls:

29.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
15.0ms	(/ (cos th) (sqrt (sqrt 2)))
20.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
17.0ms	(/ (cos th) (sqrt 2))

series470.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
127.0ms	(/ (cos th) (sqrt (sqrt 2)))
104.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
101.0ms	(/ (cos th) (sqrt 2))

simplify2.1s

Counts

485 → 485

Iterations

Iter	Nodes
done	5078
2	2782
1	1150
0	480

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (cos th) (sqrt 2)) a2)
0.6b	(/ (cos th) (sqrt (sqrt 2)))
0.6b	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.7b	(/ (cos th) (sqrt 2))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

616×	`sqrt-prod`
614×	`times-frac`
349×	`add-sqr-sqrt`
341×	`*-un-lft-identity` `add-cube-cbrt`
37×	`associate-/l*`
24×	`associate-/r*`
22×	`associate-l`
18×	`add-cbrt-cube` `add-exp-log`
14×	`div-inv`
6×	`pow1` `cbrt-undiv` `div-exp`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `unswap-sqr`
2×	`prod-exp` `cbrt-unprod`
1×	`pow-prod-down` `associate-l/` `-commutative` `associate-/l/`

Counts

4 → 470

Calls

4 calls:

13.0ms	(* (/ (cos th) (sqrt 2)) a2)
10.0ms	(/ (cos th) (sqrt (sqrt 2)))
28.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
19.0ms	(/ (cos th) (sqrt 2))

series457.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (/ (cos th) (sqrt 2)) a2)
146.0ms	(/ (cos th) (sqrt (sqrt 2)))
84.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
72.0ms	(/ (cos th) (sqrt 2))

simplify1.9s

Counts

482 → 482

Iterations

Iter	Nodes
done	5032
2	2539
1	1085
0	474

prune2.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))
0.5b	(/ a2 (sqrt 2))
0.6b	(/ (cos th) (sqrt (sqrt 2)))
0.6b	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

1149×	`sqrt-prod`
1137×	`times-frac`
626×	`add-sqr-sqrt`
592×	`*-un-lft-identity` `add-cube-cbrt`
283×	`associate-l`
37×	`associate-/l*`
34×	`add-cbrt-cube` `add-exp-log`
24×	`associate-/r*`
23×	`div-inv`
13×	`unswap-sqr`
11×	`cbrt-undiv` `div-exp`
9×	`pow1` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down`
1×	`associate-r` `associate-l/` `-commutative` `associate-/l/`

Counts

4 → 748

Calls

4 calls:

41.0ms	(* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))
9.0ms	(/ a2 (sqrt 2))
27.0ms	(/ (cos th) (sqrt (sqrt 2)))
30.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))
71.0ms	(/ a2 (sqrt 2))
143.0ms	(/ (cos th) (sqrt (sqrt 2)))
76.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify2.7s

Counts

760 → 760

Iterations

Iter	Nodes
done	5016
2	4472
1	1665
0	581

prune3.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes454.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample8.4s

Algorithm

intervals

Results

2.8s	2537×	body	1280	valid
2.2s	2109×	body	640	valid
1.6s	8110×	body	80	valid
1.1s	1084×	body	320	valid
194.0ms	503×	body	160	valid