Details

sample85.0ms

Algorithm

intervals

Results

21.0ms	34×	body	1280	valid
17.0ms	175×	body	80	valid
15.0ms	34×	body	640	valid
6.0ms	18×	body	320	valid
3.0ms	13×	body	160	valid

simplify112.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	24	8
3	48	8
4	71	8
5	79	8
done	79	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.6b	(/ (* x (/ (sin y) y)) z)

rewrite74.0ms

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:

25.0ms	(* x (/ (sin y) y))
17.0ms	(/ (sin y) y)
28.0ms	(/ (* x (/ (sin y) y)) z)

series258.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(* x (/ (sin y) y))
50.0ms	(/ (sin y) y)
127.0ms	(/ (* x (/ (sin y) y)) z)

simplify3.5s

Counts

92 → 92

Iterations

Useful iterations: 2 (235.0ms)

Iter	Nodes	Cost
0	139	893
1	316	857
2	1016	741
3	4714	741
done	5000	741

prune394.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
2.4b	(* x (/ (/ (sin y) y) z))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 162

Calls

3 calls:

23.0ms	(/ (/ (sin y) y) z)
9.0ms	(/ (sin y) y)
39.0ms	(* x (/ (/ (sin y) y) z))

series207.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (/ (sin y) y) z)
52.0ms	(/ (sin y) y)
105.0ms	(* x (/ (/ (sin y) y) z))

simplify1.6s

Counts

171 → 171

Iterations

Useful iterations: 2 (439.0ms)

Iter	Nodes	Cost
0	248	2083
1	582	1961
2	1612	1831
done	5000	1831

prune622.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

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))
2.6b	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
30×	`times-frac`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
15×	`cbrt-div`
14×	`add-cbrt-cube`
10×	`associate-*r/`
7×	`associate-/l/`
6×	`prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`pow1` `cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 98

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
130.0ms	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

series750.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (/ (sin y) y))
219.0ms	(cbrt (/ (sin y) y))
177.0ms	(cbrt (/ (sin y) y))
135.0ms	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

simplify2.1s

Counts

110 → 110

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	156	1641
1	346	1595
2	1178	1169
done	5001	1062

prune429.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
0.5b	(/ 1 (/ z (* x (/ (sin y) y))))
2.5b	(/ z (* x (/ (sin y) y)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
54×	`add-exp-log`
44×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-cbrt-cube`
26×	`div-exp`
14×	`cbrt-undiv`
13×	`associate-r`
12×	`associate-/r*`
10×	`prod-exp`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*r/` `associate-/r/` `cbrt-unprod`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 147

Calls

4 calls:

14.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)
37.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
26.0ms	(/ z (* x (/ (sin y) y)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* x (/ (sin y) y))
32.0ms	(/ (sin y) y)
80.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
119.0ms	(/ z (* x (/ (sin y) y)))

simplify1.2s

Counts

159 → 159

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	220	1903
1	485	1720
2	1407	1461
done	5000	1435

prune353.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes192.0ms

Accuracy

51.8% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.7b

bsearch89.0ms

Steps

Iters	Range		Point
9	0.12160444842987421	18133.886566758163	24.599386322894272

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	15	22
1	18	20
done	18	20

end0.0ms

sample2.7s

Algorithm

intervals

Results

988.0ms	5920×	body	80	valid
604.0ms	967×	body	1280	valid
416.0ms	978×	body	640	valid
194.0ms	592×	body	320	valid
50.0ms	297×	body	160	valid