Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	173×	body	80	valid
7.0ms	24×	body	1280	valid
5.0ms	28×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	9×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	12	6
3	16	6
4	17	6
done	17	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

9.0ms	(/ (sin y) y)
16.0ms	(* x (/ (sin y) y))

series103.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (sin y) y)
65.0ms	(* x (/ (sin y) y))

simplify595.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (145.0ms)

Iter	Nodes	Cost
0	98	571
1	232	549
2	999	501
done	5000	501

prune149.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

34.0ms	(* x (* (sin y) (/ 1 y)))
18.0ms	(* (sin y) (/ 1 y))

series107.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(* x (* (sin y) (/ 1 y)))
35.0ms	(* (sin y) (/ 1 y))

simplify3.7s

Counts

66 → 66

Iterations

Useful iterations: 2 (422.0ms)

Iter	Nodes	Cost
0	113	653
1	294	584
2	2480	421
done	5001	421

prune148.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(* x (/ 1 (/ y (sin y))))
0.3b	(/ 1 (/ y (sin y)))

rewrite63.0ms

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×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 176

Calls

3 calls:

6.0ms	(/ y (sin y))
37.0ms	(* x (/ 1 (/ y (sin y))))
11.0ms	(/ 1 (/ y (sin y)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ y (sin y))
71.0ms	(* x (/ 1 (/ y (sin y))))
28.0ms	(/ 1 (/ y (sin y)))

simplify1.2s

Counts

185 → 185

Iterations

Useful iterations: 2 (430.0ms)

Iter	Nodes	Cost
0	238	2193
1	659	1812
2	3323	1590
done	5000	1590

prune403.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt (sin y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series862.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (sin y))
259.0ms	(cbrt y)
210.0ms	(cbrt y)
249.0ms	(cbrt y)

simplify1.1s

Counts

56 → 56

Iterations

Useful iterations: 3 (147.0ms)

Iter	Nodes	Cost
0	49	287
1	97	269
2	260	242
3	822	230
4	2554	230
done	5001	230

prune199.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	11	8
done	11	8

end0.0ms

sample2.1s

Algorithm

intervals

Results

940.0ms	5209×	body	80	valid
363.0ms	943×	body	1280	valid
276.0ms	1017×	body	640	valid
139.0ms	530×	body	320	valid
40.0ms	301×	body	160	valid