Details

sample49.0ms

Algorithm

intervals

Results

15.0ms	190×	body	80	valid
11.0ms	36×	body	1280	valid
6.0ms	27×	body	640	valid
1.0ms	10×	body	320	valid
1.0ms	8×	body	160	valid

simplify26.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	23	8
3	48	8
4	67	8
5	76	8
done	76	8

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 3.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.9b	(/ (* x (/ (sin y) y)) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
7.0ms	(/ (* x (/ (sin y) y)) z)

series33.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
17.0ms	(/ (* x (/ (sin y) y)) z)

simplify518.0ms

Counts

92 → 92

Iterations

Useful iterations: done (516.0ms)

Iter	Nodes	Cost
0	139	893
1	332	868
2	1285	768
done	5000	747

prune124.0ms

Filtered

70 candidates to 92 candidates (-31.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))
2.9b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 207

Calls

4 calls:

17.0ms	(* x (/ 1 (/ y (sin y))))
4.0ms	(/ y (sin y))
7.0ms	(/ 1 (/ y (sin y)))
12.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series40.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* x (/ 1 (/ y (sin y))))
7.0ms	(/ y (sin y))
5.0ms	(/ 1 (/ y (sin y)))
16.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify617.0ms

Counts

219 → 219

Iterations

Useful iterations: done (612.0ms)

Iter	Nodes	Cost
0	286	2685
1	728	2318
2	2631	1944
done	5001	1848

prune183.0ms

Filtered

137 candidates to 219 candidates (-59.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	217	2	219
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	220	7	227

Merged error: 0.0b

Counts

227 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(/ x (/ y (sin y)))
2.9b	(/ (/ x (/ y (sin y))) z)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
50×	`associate-/l*`
23×	`div-inv`
19×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
3×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

3 → 293

Calls

3 calls:

4.0ms	(/ y (sin y))
7.0ms	(/ x (/ y (sin y)))
15.0ms	(/ (/ x (/ y (sin y))) z)

series40.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ y (sin y))
17.0ms	(/ x (/ y (sin y)))
17.0ms	(/ (/ x (/ y (sin y))) z)

simplify835.0ms

Counts

302 → 302

Iterations

Useful iterations: done (825.0ms)

Iter	Nodes	Cost
0	490	5041
1	1178	4743
2	4256	4585
done	5000	4584

prune293.0ms

Filtered

269 candidates to 302 candidates (-12.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	300	2	302
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	302	7	309

Merged error: 0b

Counts

309 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
1.6b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt (sin y)) (cbrt (sin y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
23×	`prod-exp` `cbrt-unprod`
19×	`add-cbrt-cube`
9×	`pow1` `cbrt-prod` `add-sqr-sqrt`
8×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
5×	`associate-l`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down`
2×	`times-frac` `unswap-sqr`
1×	`associate-r` `associate-l/` `-commutative` `div-inv`

Counts

4 → 72

Calls

4 calls:

2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
17.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt (sin y)) (cbrt (sin y))))

series108.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt (sin y))
20.0ms	(cbrt (sin y))
25.0ms	(cbrt (sin y))
42.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt (sin y)) (cbrt (sin y))))

simplify554.0ms

Counts

84 → 84

Iterations

Useful iterations: done (552.0ms)

Iter	Nodes	Cost
0	140	1426
1	416	1358
2	1840	946
done	5000	935

prune93.0ms

Filtered

61 candidates to 84 candidates (-37.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Merged error: 0b

Counts

91 → 7

regimes286.0ms

Accuracy

92.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.8b

bsearch60.0ms

Steps

Iters	Range		Point
8	4.227347176163769e-19	4.761529482205169e-16	1.7046640976337448e-17
10	-1.7205894411264096e+45	-8.534522168063439e+34	-2.622978452090755e+41

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	36
1	25	36
done	25	36

end0.0ms

sample1.3s

Algorithm

intervals

Results

313.0ms	5896×	body	80	valid
302.0ms	988×	body	1280	valid
214.0ms	1019×	body	640	valid
82.0ms	541×	body	320	valid
30.0ms	276×	body	160	valid

Details

sample49.0ms

simplify26.0ms

prune3.0ms

localize7.0ms

rewrite24.0ms

series33.0ms

simplify518.0ms

prune124.0ms

localize9.0ms

rewrite53.0ms

series40.0ms

simplify617.0ms

prune183.0ms

localize7.0ms

rewrite44.0ms

series40.0ms

simplify835.0ms

prune293.0ms

localize25.0ms

rewrite26.0ms

series108.0ms

simplify554.0ms

prune93.0ms

regimes286.0ms

bsearch60.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling