Details

sample42.0ms

Algorithm

intervals

Results

10.0ms	37×	body	1280	valid
10.0ms	37×	body	640	valid
8.0ms	185×	body	80	valid
2.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid

simplify33.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.5b	(/ (* x (/ (sin y) y)) z)

rewrite21.0ms

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:

10.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
5.0ms	(/ (* x (/ (sin y) y)) z)

series161.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* x (/ (sin y) y))
31.0ms	(/ (sin y) y)
73.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.2s

Counts

92 → 92

Iterations

Useful iterations: 2 (135.0ms)

Iter	Nodes	Cost
0	139	893
1	325	857
2	1062	741
done	5001	741

prune229.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.7b	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

152×	`times-frac`
110×	`add-sqr-sqrt`
82×	`associate-r`
78×	`add-cube-cbrt` `*-un-lft-identity`
52×	`cbrt-prod`
40×	`add-exp-log`
28×	`add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
12×	`prod-exp` `cbrt-unprod`
10×	`unswap-sqr`
8×	`div-inv`
7×	`associate-l`
6×	`pow1`
4×	`add-log-exp`
3×	`pow1/3`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 162

Calls

4 calls:

0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)
48.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series671.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt z)
186.0ms	(cbrt z)
185.0ms	(cbrt z)
118.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify1.6s

Counts

174 → 174

Iterations

Useful iterations: 2 (754.0ms)

Iter	Nodes	Cost
0	306	2938
1	1023	2772
2	4540	2198
done	5000	2198

prune542.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* z (/ y (sin y)))
0.2b	(/ y (sin y))
4.1b	(/ x (* z (/ y (sin y))))

rewrite18.0ms

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-/l*`
5×	`pow1`
4×	`prod-exp` `associate-/r*` `cbrt-unprod`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative`

Counts

3 → 83

Calls

3 calls:

8.0ms	(* z (/ y (sin y)))
2.0ms	(/ y (sin y))
5.0ms	(/ x (* z (/ y (sin y))))

series194.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* z (/ y (sin y)))
25.0ms	(/ y (sin y))
92.0ms	(/ x (* z (/ y (sin y))))

simplify2.1s

Counts

92 → 92

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	139	893
1	317	861
2	1010	745
3	4782	743
done	5000	743

prune230.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ y (sin y))
0.8b	(/ (/ x z) (/ y (sin y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 242

Calls

2 calls:

2.0ms	(/ y (sin y))
11.0ms	(/ (/ x z) (/ y (sin y)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ y (sin y))
90.0ms	(/ (/ x z) (/ y (sin y)))

simplify1.9s

Counts

248 → 248

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	455	4717
1	1314	4410
2	4774	4250
done	5000	4250

prune705.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
done	7	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

298.0ms	1002×	body	1280	valid
259.0ms	5808×	body	80	valid
193.0ms	1034×	body	640	valid
71.0ms	537×	body	320	valid
27.0ms	292×	body	160	valid