Details

sample246.0ms

Algorithm

intervals

Results

91.0ms	90×	body	1280	valid
59.0ms	78×	body	640	valid
42.0ms	258×	body	80	valid
18.0ms	15×	body	160	valid
11.0ms	23×	body	320	valid

simplify180.0ms

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

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:

25.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
29.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
18.0ms	(/ (cos th) (sqrt 2))
17.0ms	(/ (cos th) (sqrt 2))

series460.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
135.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
106.0ms	(/ (cos th) (sqrt 2))
74.0ms	(/ (cos th) (sqrt 2))

simplify4.0s

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: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (cos th) (sqrt 2)) (* a1 a1))
0.6b	(/ (cos th) (sqrt (sqrt 2)))
0.7b	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.7b	(/ (cos th) (sqrt 2))

rewrite147.0ms

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:

49.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
21.0ms	(/ (cos th) (sqrt (sqrt 2)))
32.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
18.0ms	(/ (cos th) (sqrt 2))

series464.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
127.0ms	(/ (cos th) (sqrt (sqrt 2)))
82.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
95.0ms	(/ (cos th) (sqrt 2))

simplify1.2s

Counts

485 → 485

Iterations

Iter	Nodes
2	2895
1	1130
0	480

prune7.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

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:

39.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
16.0ms	(* (/ (cos th) (sqrt 2)) a2)
10.0ms	(/ (cos th) (sqrt 2))
12.0ms	(/ (cos th) (sqrt 2))

series475.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
145.0ms	(* (/ (cos th) (sqrt 2)) a2)
96.0ms	(/ (cos th) (sqrt 2))
80.0ms	(/ (cos th) (sqrt 2))

simplify3.9s

Counts

181 → 181

Iterations

Iter	Nodes
3	4953
2	1539
1	473
0	177

prune2.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (cos th) (sqrt 2)) a1)
0.6b	(/ (cos th) (sqrt (sqrt 2)))
0.7b	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.7b	(/ (cos th) (sqrt 2))

rewrite86.0ms

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:

26.0ms	(* (/ (cos th) (sqrt 2)) a1)
16.0ms	(/ (cos th) (sqrt (sqrt 2)))
18.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
15.0ms	(/ (cos th) (sqrt 2))

series465.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (/ (cos th) (sqrt 2)) a1)
143.0ms	(/ (cos th) (sqrt (sqrt 2)))
95.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
92.0ms	(/ (cos th) (sqrt 2))

simplify1.1s

Counts

482 → 482

Iterations

Iter	Nodes
2	2492
1	1070
0	475

prune7.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes620.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	16
1	16
0	12

end0.0ms

sample8.9s

Algorithm

intervals

Results

3.7s	2571×	body	1280	valid
2.2s	2063×	body	640	valid
1.7s	8110×	body	80	valid
556.0ms	1009×	body	320	valid
207.0ms	512×	body	160	valid