Details

sample73.0ms

Algorithm

intervals

Results

21.0ms	37×	body	1280	valid
15.0ms	167×	body	80	valid
9.0ms	23×	body	640	valid
5.0ms	17×	body	320	valid
2.0ms	12×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

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

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 59

Calls

2 calls:

13.0ms	(* x (/ (sin y) y))
6.0ms	(/ (sin y) y)

series146.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(* x (/ (sin y) y))
49.0ms	(/ (sin y) y)

simplify608.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	996
1	232
0	98

prune353.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (/ y (sin y)))
0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 176

Calls

3 calls:

15.0ms	(/ 1 (/ y (sin y)))
50.0ms	(* x (/ 1 (/ y (sin y))))
5.0ms	(/ y (sin y))

series166.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ 1 (/ y (sin y)))
81.0ms	(* x (/ 1 (/ y (sin y))))
39.0ms	(/ y (sin y))

simplify1.3s

Counts

185 → 185

Iterations

Iter	Nodes
done	5001
2	3415
1	661
0	238

prune800.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (* y (/ 1 (sin y))))
0.1b	(* x (/ 1 (* y (/ 1 (sin y)))))
0.1b	(/ 1 (sin y))
0.2b	(* y (/ 1 (sin y)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log`
44×	`prod-exp`
36×	`div-exp`
34×	`add-sqr-sqrt` `add-cbrt-cube`
26×	`*-un-lft-identity` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
18×	`rec-exp` `1-exp`
12×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod`
6×	`associate-l` `associate-/l*`
4×	`associate-/r` `associate-r/` `associate-/r/` `un-div-inv` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-flip`
2×	`clear-num` `frac-2neg` `*-commutative` `inv-pow`

Counts

4 → 151

Calls

4 calls:

34.0ms	(/ 1 (* y (/ 1 (sin y))))
53.0ms	(* x (/ 1 (* y (/ 1 (sin y)))))
5.0ms	(/ 1 (sin y))
25.0ms	(* y (/ 1 (sin y)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ 1 (* y (/ 1 (sin y))))
93.0ms	(* x (/ 1 (* y (/ 1 (sin y)))))
29.0ms	(/ 1 (sin y))
56.0ms	(* y (/ 1 (sin y)))

simplify1.1s

Counts

163 → 163

Iterations

Iter	Nodes
done	5001
2	2638
1	524
0	192

prune586.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
0.2b	(cbrt (/ y (sin y)))
0.2b	(cbrt (/ y (sin y)))
0.2b	(cbrt (/ y (sin y)))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

2636×	`times-frac`
1404×	`cbrt-prod`
1154×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
126×	`div-inv`
53×	`associate-/l*`
21×	`cbrt-div`
18×	`associate-/r/`
16×	`associate-/r*`
13×	`add-exp-log`
7×	`pow1`
6×	`add-cbrt-cube` `div-exp`
5×	`pow1/3`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow-div`
2×	`pow-flip`
1×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `inv-pow` `associate-/l/`

Counts

4 → 1004

Calls

4 calls:

48.0ms	(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
5.0ms	(cbrt (/ y (sin y)))
4.0ms	(cbrt (/ y (sin y)))
5.0ms	(cbrt (/ y (sin y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

331.0ms	(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
196.0ms	(cbrt (/ y (sin y)))
203.0ms	(cbrt (/ y (sin y)))
626.0ms	(cbrt (/ y (sin y)))

simplify4.0s

Counts

1016 → 1016

Iterations

Iter	Nodes
done	5000
1	3665
0	1595

prune3.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes177.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample2.0s

Algorithm

intervals

Results

596.0ms	952×	body	1280	valid
435.0ms	1035×	body	640	valid
432.0ms	5075×	body	80	valid
186.0ms	611×	body	320	valid
48.0ms	327×	body	160	valid