Details

sample52.0ms

Algorithm

intervals

Results

20.0ms	48×	body	1280	valid
10.0ms	39×	body	640	valid
8.0ms	142×	body	80	valid
3.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	9
3	25	9
done	25	9

prune3.0ms

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	(* z (sin y))
0.1b	(* x (cos y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

3.0ms	(* z (sin y))
3.0ms	(* x (cos y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* z (sin y))
39.0ms	(* x (cos y))

simplify1.5s

Counts

46 → 46

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	66	274
1	122	268
2	234	236
3	310	236
4	439	236
5	805	236
6	1900	236
done	5000	236

prune134.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite10.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series444.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
101.0ms	(cbrt (cos y))
93.0ms	(cbrt (cos y))
92.0ms	(cbrt (cos y))

simplify1.8s

Counts

93 → 93

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	363	551
3	1342	529
done	5000	523

prune291.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 74

Calls

4 calls:

13.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (pow (cos y) 2))

series305.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
94.0ms	(cbrt (cos y))
155.0ms	(cbrt (pow (cos y) 2))

simplify2.2s

Counts

86 → 86

Iterations

Useful iterations: 3 (920.0ms)

Iter	Nodes	Cost
0	112	763
1	242	704
2	786	613
3	3455	592
done	5000	592

prune334.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (* (pow (pow (cos y) 2) 2/3) (cbrt (pow (cos y) 2))))
0.4b	(cbrt (pow (cos y) 2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 62

Calls

4 calls:

1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
6.0ms	(cbrt (* (pow (pow (cos y) 2) 2/3) (cbrt (pow (cos y) 2))))
2.0ms	(cbrt (pow (cos y) 2))

series411.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(pow (cos y) 2)
92.0ms	(cbrt (cos y))
152.0ms	(cbrt (* (pow (pow (cos y) 2) 2/3) (cbrt (pow (cos y) 2))))
151.0ms	(cbrt (pow (cos y) 2))

simplify2.8s

Counts

74 → 74

Iterations

Useful iterations: 4 (873.0ms)

Iter	Nodes	Cost
0	94	643
1	171	578
2	369	518
3	901	454
4	4300	415
done	5000	415

prune475.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	22	25
done	22	25

end0.0ms

sample1.6s

Algorithm

intervals

Results

647.0ms	1519×	body	1280	valid
340.0ms	1214×	body	640	valid
250.0ms	4352×	body	80	valid
107.0ms	596×	body	320	valid
40.0ms	319×	body	160	valid