Details

sample264.0ms

Algorithm

intervals

Results

96.0ms	66×	body	640	valid
76.0ms	82×	body	1280	valid
36.0ms	240×	body	80	valid
24.0ms	48×	body	320	valid
7.0ms	23×	body	160	valid

simplify97.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize23.0ms

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))

rewrite82.0ms

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:

26.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
32.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
13.0ms	(/ (cos th) (sqrt 2))
9.0ms	(/ (cos th) (sqrt 2))

series462.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
156.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
94.0ms	(/ (cos th) (sqrt 2))
72.0ms	(/ (cos th) (sqrt 2))

simplify3.9s

Counts

184 → 184

Iterations

Iter	Nodes
3	7079
2	1764
1	523
0	183

prune2.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

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:

27.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
28.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
26.0ms	(/ (cos th) (sqrt (sqrt 2)))
10.0ms	(/ (cos th) (sqrt 2))

series807.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
82.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
114.0ms	(/ (cos th) (sqrt (sqrt 2)))
469.0ms	(/ (cos th) (sqrt 2))

simplify1.2s

Counts

485 → 485

Iterations

Iter	Nodes
2	2931
1	1129
0	480

prune6.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (cos th) (sqrt 2)) (* a2 a2))
0.6b	(/ 1 (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2)))))
0.6b	(/ (cos th) (sqrt (sqrt 2)))
0.7b	(/ (cos th) (sqrt 2))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

3005×	`times-frac`
2146×	`sqrt-prod`
1404×	`add-sqr-sqrt`
1399×	`*-un-lft-identity` `add-cube-cbrt`
299×	`associate-/r*`
44×	`div-inv`
41×	`add-exp-log`
29×	`add-cbrt-cube`
22×	`associate-l`
19×	`div-exp`
10×	`pow1` `cbrt-undiv`
9×	`associate-/l*`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r/`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-prod-down` `unswap-sqr`
1×	`associate-r` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 1303

Calls

4 calls:

25.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
15.0ms	(/ 1 (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2)))))
15.0ms	(/ (cos th) (sqrt (sqrt 2)))
17.0ms	(/ (cos th) (sqrt 2))

series459.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
92.0ms	(/ 1 (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2)))))
157.0ms	(/ (cos th) (sqrt (sqrt 2)))
66.0ms	(/ (cos th) (sqrt 2))

simplify31.0s

Counts

1315 → 1315

Iterations

Iter	Nodes
1	3744
0	1307

prune21.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ (cos th) (sqrt 2)) a2)
0.6b	(/ 1 (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2)))))
0.6b	(/ (cos th) (sqrt (sqrt 2)))
0.7b	(/ (cos th) (sqrt 2))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

3005×	`times-frac`
2146×	`sqrt-prod`
1408×	`add-sqr-sqrt`
1400×	`*-un-lft-identity` `add-cube-cbrt`
299×	`associate-/r*`
44×	`div-inv`
34×	`add-exp-log`
22×	`add-cbrt-cube` `associate-l`
18×	`div-exp`
9×	`cbrt-undiv` `associate-/l*`
7×	`pow1`
5×	`associate-/r/`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-r` `unswap-sqr`
2×	`prod-exp` `cbrt-unprod`
1×	`pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 1300

Calls

4 calls:

13.0ms	(* (/ (cos th) (sqrt 2)) a2)
15.0ms	(/ 1 (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2)))))
12.0ms	(/ (cos th) (sqrt (sqrt 2)))
17.0ms	(/ (cos th) (sqrt 2))

series497.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (/ (cos th) (sqrt 2)) a2)
95.0ms	(/ 1 (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2)))))
150.0ms	(/ (cos th) (sqrt (sqrt 2)))
90.0ms	(/ (cos th) (sqrt 2))

simplify28.5s

Counts

1312 → 1312

Iterations

Iter	Nodes
1	3688
0	1301

prune22.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

regimes674.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	28
1	28
0	22

end0.0ms

sample8.2s

Algorithm

intervals

Results

3.1s	2567×	body	1280	valid
2.0s	8063×	body	80	valid
1.8s	2034×	body	640	valid
581.0ms	1071×	body	320	valid
222.0ms	528×	body	160	valid