Details

sample53.0ms

Algorithm

intervals

Results

17.0ms	193×	body	80	valid
11.0ms	31×	body	1280	valid
7.0ms	31×	body	640	valid
3.0ms	15×	body	320	valid
2.0ms	11×	body	160	valid

simplify46.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
1.9b	(/ (* x (/ (sin y) y)) z)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

7.0ms	(/ (sin y) y)
12.0ms	(* x (/ (sin y) y))
14.0ms	(/ (* x (/ (sin y) y)) z)

series237.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (sin y) y)
88.0ms	(* x (/ (sin y) y))
111.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1181
1	339
0	139

prune454.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* (/ (sin y) y) x)
1.9b	(/ (* (/ (sin y) y) x) z)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
13×	`associate-l`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-r` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

7.0ms	(/ (sin y) y)
22.0ms	(* (/ (sin y) y) x)
19.0ms	(/ (* (/ (sin y) y) x) z)

series206.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (sin y) y)
59.0ms	(* (/ (sin y) y) x)
100.0ms	(/ (* (/ (sin y) y) x) z)

simplify1.4s

Counts

92 → 92

Iterations

Iter	Nodes
done	5003
2	1100
1	344
0	140

prune613.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
1.3b	(* (/ (sin y) y) (/ x z))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
31×	`times-frac`
24×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r` `associate-l`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 77

Calls

2 calls:

18.0ms	(/ (sin y) y)
40.0ms	(* (/ (sin y) y) (/ x z))

series113.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (sin y) y)
82.0ms	(* (/ (sin y) y) (/ x z))

simplify1.4s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1378
1	407
0	144

prune526.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
1.4b	(/ (/ (sin y) y) (/ z x))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 242

Calls

2 calls:

13.0ms	(/ (sin y) y)
33.0ms	(/ (/ (sin y) y) (/ z x))

series165.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (sin y) y)
133.0ms	(/ (/ (sin y) y) (/ z x))

simplify2.3s

Counts

248 → 248

Iterations

Iter	Nodes
done	5002
2	4478
1	1396
0	455

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes303.0ms

Accuracy

79.6% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.6b

bsearch81.0ms

Steps

Iters	Range		Point
8	2.501213386638406e-131	3.0384533910994425e-128	3.1934743154824757e-129
4	-1.5563758061218204e-102	-8.645725447136131e-103	-1.0837513705339673e-102

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample2.2s

Algorithm

intervals

Results

828.0ms	5780×	body	80	valid
562.0ms	1029×	body	1280	valid
367.0ms	990×	body	640	valid
155.0ms	600×	body	320	valid
44.0ms	297×	body	160	valid