Details

sample72.0ms

Algorithm

intervals

Results

27.0ms	92×	body	1280	valid
12.0ms	66×	body	640	valid
12.0ms	280×	body	80	valid
4.0ms	32×	body	320	valid
2.0ms	24×	body	160	valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	28	7
3	56	7
4	100	7
5	145	7
6	223	7
7	419	7
8	1004	7
9	1898	7
10	2239	7
11	2341	7
done	2341	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (sin y) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

9.0ms

(/ (sin y) y)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(/ (sin y) y)

simplify2.5s

Counts

32 → 32

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	61	258
1	107	248
2	239	232
3	448	231
4	825	231
5	1374	231
6	3144	231
done	5000	231

prune93.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 107

Calls

2 calls:

5.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))

series54.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ y (sin y))
27.0ms	(/ 1 (/ y (sin y)))

simplify3.9s

Counts

113 → 113

Iterations

Useful iterations: 3 (348.0ms)

Iter	Nodes	Cost
0	164	1300
1	331	1083
2	638	934
3	1414	915
4	2900	915
done	5000	915

prune187.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-l`
11×	`times-frac`
10×	`add-exp-log` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-r` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

19.0ms

(* (/ 1 y) (sin y))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* (/ 1 y) (sin y))

simplify2.4s

Counts

40 → 40

Iterations

Useful iterations: 3 (238.0ms)

Iter	Nodes	Cost
0	82	352
1	172	273
2	411	231
3	713	230
4	1156	230
5	2282	230
done	5000	230

prune102.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
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-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

30.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
3.0ms	(cbrt (/ y (sin y)))
3.0ms	(cbrt (/ y (sin y)))
3.0ms	(cbrt (/ y (sin y)))

series599.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
137.0ms	(cbrt (/ y (sin y)))
139.0ms	(cbrt (/ y (sin y)))
142.0ms	(cbrt (/ y (sin y)))

simplify2.2s

Counts

164 → 164

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	173	2275
1	291	2132
2	738	2056
3	1528	1946
4	4043	1928
done	5000	1817

prune553.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes200.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample2.4s

Algorithm

intervals

Results

897.0ms	2924×	body	1280	valid
451.0ms	2414×	body	640	valid
371.0ms	8597×	body	80	valid
159.0ms	1221×	body	320	valid
59.0ms	657×	body	160	valid