Details

sample123.0ms

Algorithm

intervals

Results

43.0ms	176×	body	80	valid
22.0ms	24×	body	1280	valid
18.0ms	29×	body	640	valid
7.0ms	17×	body	320	valid
3.0ms	10×	body	160	valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	37	9
4	43	9
5	52	9
6	111	9
7	281	9
8	766	9
9	2120	9
done	5000	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.0b	(+ x (cos y))
0.1b	(* z (sin y))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

78.0ms	(- (+ x (cos y)) (* z (sin y)))
12.0ms	(+ x (cos y))
17.0ms	(* z (sin y))

series203.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(- (+ x (cos y)) (* z (sin y)))
53.0ms	(+ x (cos y))
64.0ms	(* z (sin y))

simplify3.1s

Counts

53 → 53

Iterations

Useful iterations: 2 (139.0ms)

Iter	Nodes	Cost
0	84	477
1	205	446
2	653	420
3	3259	420
done	5001	420

prune416.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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:

32.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))

series766.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
184.0ms	(cbrt (sin y))
181.0ms	(cbrt (sin y))
190.0ms	(cbrt (sin y))

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	75	710
1	177	628
2	754	534
done	5000	520

prune596.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite31.0ms

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:

22.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

341.0ms	(* (cbrt z) (cbrt z))
314.0ms	(cbrt z)
321.0ms	(cbrt z)
362.0ms	(cbrt z)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune714.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite18.0ms

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 z)
12.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.5s

Counts

4 → 12

Calls

4 calls:

360.0ms	(cbrt z)
375.0ms	(cbrt z)
375.0ms	(cbrt z)
368.0ms	(cbrt z)

simplify3.5s

Counts

56 → 56

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	24	260
1	45	244
2	116	220
3	342	208
4	935	208
5	3497	208
done	5001	208

prune489.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes274.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	14	16
done	14	16

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.4s	5593×	body	80	valid
957.0ms	1026×	body	1280	valid
396.0ms	786×	body	640	valid
235.0ms	385×	body	320	valid
50.0ms	209×	body	160	valid
2.0ms	1×	body	2560	valid