Details

sample49.0ms

Algorithm

intervals

Results

13.0ms	35×	body	1280	valid
9.0ms	153×	body	80	valid
8.0ms	32×	body	640	valid
4.0ms	22×	body	320	valid
2.0ms	14×	body	160	valid

simplify9.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

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:

30.0ms	(* x (/ (sin y) y))
16.0ms	(/ (sin y) y)

series163.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(* x (/ (sin y) y))
53.0ms	(/ (sin y) y)

simplify4.7s

Counts

65 → 65

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	98	571
1	208	545
2	562	493
3	1529	493
4	4620	493
done	5000	493

prune160.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

16.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series679.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(* (cbrt y) (cbrt y))
133.0ms	(cbrt (sin y))
136.0ms	(cbrt (sin y))
143.0ms	(cbrt (sin y))

simplify4.3s

Counts

85 → 85

Iterations

Useful iterations: 4 (2.6s)

Iter	Nodes	Cost
0	79	605
1	150	504
2	400	463
3	1281	445
4	4987	440
done	5001	440

prune227.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(* (cbrt y) (cbrt y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(* (cbrt y) (cbrt y))

series1.2s

Counts

4 → 12

Calls

4 calls:

273.0ms	(cbrt y)
312.0ms	(cbrt y)
290.0ms	(cbrt y)
350.0ms	(* (cbrt y) (cbrt y))

simplify4.4s

Counts

85 → 85

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	321	397
3	1098	379
4	4542	374
done	5000	364

prune317.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
7.2b	(/ (* x (sin y)) y)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

16.0ms	(* x (sin y))
24.0ms	(/ (* x (sin y)) y)

series134.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* x (sin y))
80.0ms	(/ (* x (sin y)) y)

simplify3.2s

Counts

45 → 45

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	70	347
1	152	337
2	470	285
3	1913	285
done	5001	285

prune89.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes106.0ms

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	5	6
1	6	6
done	6	6

end0.0ms

sample1.6s

Algorithm

intervals

Results

469.0ms	5216×	body	80	valid
387.0ms	936×	body	1280	valid
266.0ms	932×	body	640	valid
152.0ms	611×	body	320	valid
37.0ms	305×	body	160	valid