Details

sample233.0ms

Algorithm

intervals

Results

75.0ms	68×	body	640	valid
75.0ms	85×	body	1280	valid
42.0ms	274×	body	80	valid
12.0ms	28×	body	320	valid
6.0ms	17×	body	160	valid

simplify145.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	134
7	134
6	122
5	110
4	98
3	80
2	55
1	26
0	12

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize47.0ms

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))

rewrite134.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r` `associate-l/` `-commutative`

Counts

4 → 180

Calls

4 calls:

44.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
50.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
18.0ms	(/ (cos th) (sqrt 2))
17.0ms	(/ (cos th) (sqrt 2))

series477.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
142.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
88.0ms	(/ (cos th) (sqrt 2))
106.0ms	(/ (cos th) (sqrt 2))

simplify4.0s

Counts

192 → 192

Iterations

Iter	Nodes
3	7069
2	1733
1	518
0	189

prune2.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
78×	`add-sqr-sqrt`
73×	`*-un-lft-identity` `add-cube-cbrt`
52×	`sqrt-prod`
32×	`add-cbrt-cube` `add-exp-log`
31×	`associate-/r*`
22×	`associate-l`
10×	`cbrt-undiv` `div-exp` `associate-/l*`
9×	`pow1`
8×	`prod-exp` `cbrt-unprod`
6×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `unswap-sqr`
1×	`associate-r` `associate-l/` `associate-/r/` `-commutative`

Counts

4 → 199

Calls

4 calls:

13.0ms	(/ (* a2 (cos th)) (/ (sqrt 2) a2))
40.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
10.0ms	(/ (sqrt 2) a2)
18.0ms	(/ (cos th) (sqrt 2))

series470.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(/ (* a2 (cos th)) (/ (sqrt 2) a2))
147.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
90.0ms	(/ (sqrt 2) a2)
67.0ms	(/ (cos th) (sqrt 2))

simplify942.0ms

Counts

211 → 211

Iterations

Iter	Nodes
2	2562
1	719
0	277

prune2.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a2 a2) (cos th))
0.2b	(/ (* (* a2 a2) (cos th)) (sqrt 2))
0.3b	(* (/ (cos th) (sqrt 2)) (* a1 a1))
0.7b	(/ (cos th) (sqrt 2))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
43×	`add-sqr-sqrt`
37×	`*-un-lft-identity` `add-cube-cbrt`
32×	`add-cbrt-cube` `add-exp-log`
28×	`sqrt-prod`
23×	`associate-l`
14×	`pow1`
12×	`associate-/r*` `prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp` `pow-prod-down`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
3×	`div-inv`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`associate-*l/`

Counts

4 → 144

Calls

4 calls:

17.0ms	(* (* a2 a2) (cos th))
26.0ms	(/ (* (* a2 a2) (cos th)) (sqrt 2))
50.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
18.0ms	(/ (cos th) (sqrt 2))

series488.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (* a2 a2) (cos th))
152.0ms	(/ (* (* a2 a2) (cos th)) (sqrt 2))
171.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
80.0ms	(/ (cos th) (sqrt 2))

simplify4.7s

Counts

156 → 156

Iterations

Iter	Nodes
3	7086
2	1734
1	528
0	203

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
65×	`add-sqr-sqrt`
60×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-l`
43×	`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*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`clear-num` `frac-2neg` `associate-r` `associate-l/` `-commutative`

Counts

4 → 177

Calls

4 calls:

47.0ms	(* (/ a2 (sqrt 2)) (* a2 (cos th)))
22.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
5.0ms	(/ a2 (sqrt 2))
17.0ms	(/ (cos th) (sqrt 2))

series487.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (/ a2 (sqrt 2)) (* a2 (cos th)))
168.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
107.0ms	(/ a2 (sqrt 2))
81.0ms	(/ (cos th) (sqrt 2))

simplify4.9s

Counts

189 → 189

Iterations

Iter	Nodes
3	7990
2	1922
1	585
0	232

prune2.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes461.0ms

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	17
1	17
0	13

end0.0ms

sample8.7s

Algorithm

intervals

Results

3.0s	2546×	body	1280	valid
2.4s	2150×	body	640	valid
2.0s	8146×	body	80	valid
662.0ms	1024×	body	320	valid
190.0ms	539×	body	160	valid