Details

sample53.0ms

Algorithm

intervals

Results

13.0ms	33×	body	640	valid
12.0ms	28×	body	1280	valid
9.0ms	161×	body	80	valid
3.0ms	17×	body	320	valid
2.0ms	17×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
4	17
3	16
2	12
1	8
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 63

Calls

2 calls:

10.0ms	(/ (sin y) y)
18.0ms	(* x (/ (sin y) y))

series111.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (sin y) y)
76.0ms	(* x (/ (sin y) y))

simplify789.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	999
1	236
0	102

prune366.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

24.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))

series776.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
186.0ms	(cbrt (/ (sin y) y))
177.0ms	(cbrt (/ (sin y) y))
173.0ms	(cbrt (/ (sin y) y))

simplify1.2s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
2	1376
1	333
0	171

prune938.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.5b	(cbrt y)
0.6b	(cbrt (sin y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `div-inv`

Counts

4 → 74

Calls

4 calls:

3.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (/ (sin y) y))
1.0ms	(cbrt y)
2.0ms	(cbrt (sin y))

series739.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (/ (sin y) y))
178.0ms	(cbrt (/ (sin y) y))
256.0ms	(cbrt y)
133.0ms	(cbrt (sin y))

simplify1.6s

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
3	3021
2	635
1	221
0	119

prune534.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
36×	`times-frac`
32×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 96

Calls

4 calls:

3.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))

series710.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (/ (sin y) y))
176.0ms	(cbrt (/ (sin y) y))
171.0ms	(cbrt (/ (sin y) y))
151.0ms	(cbrt (/ (sin y) y))

simplify761.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
3	1027
2	290
1	137
0	82

prune697.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0b

regimes327.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample1.8s

Algorithm

intervals

Results

677.0ms	5209×	body	80	valid
402.0ms	906×	body	1280	valid
346.0ms	1009×	body	640	valid
103.0ms	589×	body	320	valid
42.0ms	287×	body	160	valid