Details

sample297.0ms

Algorithm

intervals

Results

104.0ms	85×	body	1280	valid
87.0ms	68×	body	640	valid
54.0ms	274×	body	80	valid
18.0ms	28×	body	320	valid
7.0ms	17×	body	160	valid

simplify111.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	113
7	113
6	101
5	91
4	79
3	70
2	48
1	25
0	12

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

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:

42.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
47.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
17.0ms	(/ (cos th) (sqrt 2))
20.0ms	(/ (cos th) (sqrt 2))

series387.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
123.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
65.0ms	(/ (cos th) (sqrt 2))
69.0ms	(/ (cos th) (sqrt 2))

simplify4.2s

Counts

184 → 184

Iterations

Iter	Nodes
3	7109
2	1765
1	523
0	183

prune2.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ a2 (sqrt 2)) a2)
0.3b	(* (/ (cos th) (sqrt 2)) (* a1 a1))
0.4b	(/ a2 (sqrt 2))
0.7b	(/ (cos th) (sqrt 2))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 169

Calls

4 calls:

16.0ms	(* (/ a2 (sqrt 2)) a2)
48.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
9.0ms	(/ a2 (sqrt 2))
17.0ms	(/ (cos th) (sqrt 2))

series418.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (/ a2 (sqrt 2)) a2)
150.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
69.0ms	(/ a2 (sqrt 2))
86.0ms	(/ (cos th) (sqrt 2))

simplify3.3s

Counts

181 → 181

Iterations

Iter	Nodes
3	6133
2	1656
1	532
0	211

prune2.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (cos th) a1) (/ (sqrt 2) a1))
0.2b	(* (/ a2 (sqrt 2)) a2)
0.4b	(/ a2 (sqrt 2))
0.4b	(/ (sqrt 2) a1)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
82×	`add-sqr-sqrt`
74×	`*-un-lft-identity` `add-cube-cbrt`
52×	`sqrt-prod`
31×	`associate-/r*`
25×	`add-cbrt-cube` `add-exp-log`
22×	`associate-l`
10×	`associate-/l*`
9×	`cbrt-undiv` `div-exp`
6×	`pow1` `div-inv`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `unswap-sqr`
1×	`pow-prod-down` `associate-l/` `associate-/r/` `-commutative`

Counts

4 → 188

Calls

4 calls:

26.0ms	(/ (* (cos th) a1) (/ (sqrt 2) a1))
13.0ms	(* (/ a2 (sqrt 2)) a2)
5.0ms	(/ a2 (sqrt 2))
5.0ms	(/ (sqrt 2) a1)

series394.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(/ (* (cos th) a1) (/ (sqrt 2) a1))
77.0ms	(* (/ a2 (sqrt 2)) a2)
109.0ms	(/ a2 (sqrt 2))
79.0ms	(/ (sqrt 2) a1)

simplify10.3s

Counts

200 → 200

Iterations

Iter	Nodes
3	8518
2	1988
1	604
0	247

prune2.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ a2 (sqrt 2)) a2)
0.2b	(/ (/ (* (cos th) a1) (sqrt 2)) (/ 1 a1))
0.4b	(/ a2 (sqrt 2))
0.5b	(/ (* (cos th) a1) (sqrt 2))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

357×	`times-frac`
164×	`add-sqr-sqrt`
156×	`*-un-lft-identity` `add-cube-cbrt`
70×	`sqrt-prod`
55×	`add-exp-log`
37×	`add-cbrt-cube`
30×	`div-exp`
29×	`div-inv`
25×	`associate-/r*`
22×	`associate-l`
17×	`cbrt-undiv`
14×	`associate-/l*`
7×	`prod-exp`
6×	`pow1`
5×	`cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-r` `unswap-sqr`
1×	`pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/`

Counts

4 → 295

Calls

4 calls:

23.0ms	(* (/ a2 (sqrt 2)) a2)
16.0ms	(/ (/ (* (cos th) a1) (sqrt 2)) (/ 1 a1))
6.0ms	(/ a2 (sqrt 2))
16.0ms	(/ (* (cos th) a1) (sqrt 2))

series447.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (/ a2 (sqrt 2)) a2)
164.0ms	(/ (/ (* (cos th) a1) (sqrt 2)) (/ 1 a1))
81.0ms	(/ a2 (sqrt 2))
134.0ms	(/ (* (cos th) a1) (sqrt 2))

simplify2.4s

Counts

307 → 307

Iterations

Iter	Nodes
2	3438
1	1308
0	434

prune3.9s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes625.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	19
1	19
0	15

end0.0ms

sample8.4s

Algorithm

intervals

Results

3.6s	2546×	body	1280	valid
2.3s	2150×	body	640	valid
1.4s	8146×	body	80	valid
528.0ms	1024×	body	320	valid
202.0ms	539×	body	160	valid