Details

sample228.0ms

Algorithm

intervals

Results

89.0ms	81×	body	1280	valid
65.0ms	260×	body	80	valid
36.0ms	55×	body	640	valid
16.0ms	28×	body	320	valid
4.0ms	13×	body	160	valid

simplify89.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	134
7	134
6	122
5	110
4	98
3	80
2	55
1	26
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:

0.3b	(* (/ (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))

rewrite87.0ms

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:

23.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
25.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
15.0ms	(/ (cos th) (sqrt 2))
20.0ms	(/ (cos th) (sqrt 2))

series463.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
141.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
88.0ms	(/ (cos th) (sqrt 2))
80.0ms	(/ (cos th) (sqrt 2))

simplify893.0ms

Counts

192 → 192

Iterations

Iter	Nodes
done	2001
2	1524
1	528
0	189

prune998.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ a1 (sqrt 2)) a1)
0.3b	(* (/ (cos th) (sqrt 2)) (* a2 a2))
0.4b	(/ a1 (sqrt 2))
0.7b	(/ (cos th) (sqrt 2))

rewrite62.0ms

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

Counts

4 → 177

Calls

4 calls:

15.0ms	(* (/ a1 (sqrt 2)) a1)
31.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
5.0ms	(/ a1 (sqrt 2))
9.0ms	(/ (cos th) (sqrt 2))

series421.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (/ a1 (sqrt 2)) a1)
155.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
98.0ms	(/ a1 (sqrt 2))
73.0ms	(/ (cos th) (sqrt 2))

simplify1.0s

Counts

189 → 189

Iterations

Iter	Nodes
done	2006
2	1683
1	546
0	219

prune959.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos th) (* (/ a1 (sqrt 2)) a1))
0.1b	(* (/ a1 (sqrt 2)) a1)
0.3b	(/ (* a2 a2) (sqrt 2))
0.4b	(/ a1 (sqrt 2))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
44×	`times-frac`
38×	`*-un-lft-identity` `add-cube-cbrt`
28×	`sqrt-prod`
25×	`add-cbrt-cube` `associate-l` `add-exp-log`
12×	`associate-/r*`
11×	`pow1`
8×	`prod-exp` `cbrt-unprod`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `associate-l/` `-commutative`
1×	`associate-*r/`

Counts

4 → 141

Calls

4 calls:

54.0ms	(* (cos th) (* (/ a1 (sqrt 2)) a1))
19.0ms	(* (/ a1 (sqrt 2)) a1)
9.0ms	(/ (* a2 a2) (sqrt 2))
5.0ms	(/ a1 (sqrt 2))

series438.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cos th) (* (/ a1 (sqrt 2)) a1))
102.0ms	(* (/ a1 (sqrt 2)) a1)
90.0ms	(/ (* a2 a2) (sqrt 2))
100.0ms	(/ a1 (sqrt 2))

simplify975.0ms

Counts

153 → 153

Iterations

Iter	Nodes
done	2000
2	1714
1	461
0	183

prune863.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ a1 (sqrt 2)) a1)
0.2b	(* (/ a2 (sqrt 2)) a2)
0.4b	(/ a1 (sqrt 2))
0.4b	(/ a2 (sqrt 2))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
76×	`times-frac`
62×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-l` `sqrt-prod`
18×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*`
8×	`pow1`
6×	`associate-r` `associate-/l*` `unswap-sqr`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 174

Calls

4 calls:

23.0ms	(* (/ a1 (sqrt 2)) a1)
23.0ms	(* (/ a2 (sqrt 2)) a2)
9.0ms	(/ a1 (sqrt 2))
10.0ms	(/ a2 (sqrt 2))

series333.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (/ a1 (sqrt 2)) a1)
80.0ms	(* (/ a2 (sqrt 2)) a2)
99.0ms	(/ a1 (sqrt 2))
80.0ms	(/ a2 (sqrt 2))

simplify1.0s

Counts

186 → 186

Iterations

Iter	Nodes
done	2000
2	1553
1	444
0	189

prune918.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes701.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	13

end0.0ms

sample8.9s

Algorithm

intervals

Results

4.4s	2512×	body	1280	valid
1.8s	2103×	body	640	valid
1.5s	7892×	body	80	valid
692.0ms	1035×	body	320	valid
185.0ms	536×	body	160	valid