Details

sample68.0ms

Algorithm

intervals

Results

19.0ms	193×	body	80	valid
17.0ms	36×	body	640	valid
14.0ms	23×	body	1280	valid
5.0ms	17×	body	320	valid
1.0ms	6×	body	160	valid

simplify61.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	78
6	78
5	76
4	65
3	40
2	22
1	12
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
2.3b	(/ (* x (/ (sin y) y)) z)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
108×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
83×	`add-cube-cbrt`
65×	`associate-r`
34×	`associate-/l*`
19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*r/`
15×	`associate-l`
12×	`associate-/r*`
11×	`associate-/l/`
10×	`unswap-sqr`
7×	`div-inv`
6×	`cbrt-undiv` `clear-num` `div-exp`
5×	`pow1` `*-commutative`
4×	`frac-2neg` `prod-exp` `un-div-inv` `cbrt-unprod`
3×	`insert-posit16` `add-log-exp`
1×	`pow-prod-down`

Counts

3 → 194

Calls

3 calls:

17.0ms	(/ (sin y) y)
37.0ms	(* x (/ (sin y) y))
52.0ms	(/ (* x (/ (sin y) y)) z)

series205.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (sin y) y)
65.0ms	(* x (/ (sin y) y))
100.0ms	(/ (* x (/ (sin y) y)) z)

simplify2.3s

Counts

203 → 203

Iterations

Iter	Nodes
done	5002
2	2438
1	745
0	284

prune882.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
1.8b	(/ (/ (sin y) y) (/ z x))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

430×	`times-frac`
210×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
30×	`div-inv`
22×	`associate-/r` `associate-/l`
16×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
4×	`clear-num` `frac-2neg`
2×	`pow1` `insert-posit16` `add-log-exp`

Counts

2 → 260

Calls

2 calls:

12.0ms	(/ (sin y) y)
22.0ms	(/ (/ (sin y) y) (/ z x))

series183.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (sin y) y)
123.0ms	(/ (/ (sin y) y) (/ z x))

simplify3.1s

Counts

266 → 266

Iterations

Iter	Nodes
done	5005
2	4942
1	1474
0	471

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
1.8b	(* (/ (sin y) y) (/ x z))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

81×	`frac-times`
76×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
64×	`add-cube-cbrt` `associate-/l*`
63×	`associate-/r*`
31×	`times-frac`
22×	`clear-num`
21×	`frac-2neg`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r` `associate-l`
9×	`associate-l/` `associate-r/`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`div-inv`
2×	`un-div-inv` `insert-posit16` `add-log-exp`
1×	`pow-prod-down` `*-commutative`

Counts

2 → 177

Calls

2 calls:

16.0ms	(/ (sin y) y)
69.0ms	(* (/ (sin y) y) (/ x z))

series127.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (sin y) y)
97.0ms	(* (/ (sin y) y) (/ x z))

simplify2.4s

Counts

183 → 183

Iterations

Iter	Nodes
done	5000
2	2938
1	891
0	277

prune641.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(/ z (/ (sin y) y))
2.2b	(/ x (/ z (/ (sin y) y)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

513×	`times-frac`
264×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
96×	`associate-/r*`
64×	`associate-/r/`
27×	`associate-/l*`
24×	`div-inv`
19×	`add-cbrt-cube` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
9×	`clear-num` `frac-2neg`
3×	`pow1` `insert-posit16` `add-log-exp`

Counts

3 → 354

Calls

3 calls:

12.0ms	(/ (sin y) y)
21.0ms	(/ z (/ (sin y) y))
51.0ms	(/ x (/ z (/ (sin y) y)))

series288.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (sin y) y)
101.0ms	(/ z (/ (sin y) y))
150.0ms	(/ x (/ z (/ (sin y) y)))

simplify1.5s

Counts

363 → 363

Iterations

Iter	Nodes
done	5000
1	1509
0	555

prune1.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes277.0ms

Accuracy

65.5% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.9b

bsearch164.0ms

Steps

Iters	Range		Point
8	1.5201484901397875e+242	4.329115297153896e+245	1.5442293158046647e+242
7	-1.0655363365485027e+18	-6.599107358080548e+16	-1.2889274271188022e+17

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.5s	5916×	body	80	valid
914.0ms	914×	body	1280	valid
712.0ms	1046×	body	640	valid
396.0ms	578×	body	320	valid
116.0ms	277×	body	160	valid