Details

sample235.0ms

Algorithm

intervals

Results

81.0ms	84×	body	1280	valid
68.0ms	65×	body	640	valid
41.0ms	258×	body	80	valid
16.0ms	35×	body	320	valid
7.0ms	21×	body	160	valid

simplify87.0ms

Counts

1 → 1

Iterations

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

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))

rewrite94.0ms

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:

37.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
36.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
9.0ms	(/ (cos th) (sqrt 2))
9.0ms	(/ (cos th) (sqrt 2))

series521.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
163.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
108.0ms	(/ (cos th) (sqrt 2))
91.0ms	(/ (cos th) (sqrt 2))

simplify1.2s

Counts

184 → 184

Iterations

Iter	Nodes
done	2000
3	2000
2	1563
1	533
0	183

prune2.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

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`
25×	`associate-l`
14×	`pow1`
12×	`associate-/r*` `prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp` `pow-prod-down`
4×	`insert-posit16` `associate-/l*` `add-log-exp` `unswap-sqr`
3×	`div-inv`
2×	`clear-num` `frac-2neg` `associate-r` `*-commutative`
1×	`associate-*l/`

Counts

4 → 136

Calls

4 calls:

31.0ms	(* (cos th) (* a1 a1))
47.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
27.0ms	(/ (* (cos th) (* a1 a1)) (sqrt 2))
10.0ms	(/ (cos th) (sqrt 2))

series397.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (cos th) (* a1 a1))
128.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
138.0ms	(/ (* (cos th) (* a1 a1)) (sqrt 2))
72.0ms	(/ (cos th) (sqrt 2))

simplify1.1s

Counts

148 → 148

Iterations

Iter	Nodes
done	2068
3	2068
2	1570
1	536
0	194

prune1.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

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)))
0.7b	(/ (cos th) (sqrt (sqrt 2)))
0.7b	(/ (cos th) (sqrt 2))

rewrite102.0ms

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:

39.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
14.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
9.0ms	(/ (cos th) (sqrt (sqrt 2)))
14.0ms	(/ (cos th) (sqrt 2))

series468.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
78.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
150.0ms	(/ (cos th) (sqrt (sqrt 2)))
98.0ms	(/ (cos th) (sqrt 2))

simplify1.4s

Counts

485 → 485

Iterations

Iter	Nodes
done	2001
2	2001
1	1149
0	480

prune7.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (cos th) (sqrt 2)) (* a2 a2))
0.7b	(/ (cos th) (sqrt 2))
1.0b	(/ 1 (sqrt (sqrt 2)))
1.0b	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

793×	`sqrt-prod`
788×	`times-frac`
434×	`add-sqr-sqrt`
429×	`*-un-lft-identity` `add-cube-cbrt`
192×	`cbrt-prod`
37×	`associate-/l*`
31×	`add-exp-log`
27×	`associate-/r*`
25×	`add-cbrt-cube`
22×	`associate-l`
17×	`div-inv`
13×	`pow1`
11×	`div-exp`
7×	`cbrt-undiv` `sqrt-pow1` `pow-flip`
6×	`prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow1/2` `pow-prod-down` `unswap-sqr`
2×	`rec-exp` `pow1/3` `1-exp` `pow-div`
1×	`associate-r` `associate-l/` `-commutative` `inv-pow` `associate-/l/`

Counts

4 → 581

Calls

4 calls:

28.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
18.0ms	(/ (cos th) (sqrt 2))
12.0ms	(/ 1 (sqrt (sqrt 2)))
22.0ms	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))

series249.0ms

Counts

4 → 8

Calls

4 calls:

162.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
87.0ms	(/ (cos th) (sqrt 2))
0.0ms	(/ 1 (sqrt (sqrt 2)))
0.0ms	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))

simplify1.5s

Counts

589 → 589

Iterations

Iter	Nodes
done	2011
2	2011
1	1425
0	610

prune11.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes651.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	28
1	28
0	21

end0.0ms

sample8.6s

Algorithm

intervals

Results

3.5s	2475×	body	1280	valid
2.1s	8010×	body	80	valid
1.8s	2117×	body	640	valid
574.0ms	1052×	body	320	valid
191.0ms	540×	body	160	valid