Details

sample107.0ms

Algorithm

intervals

Results

37.0ms	37×	body	640	valid
29.0ms	40×	body	1280	valid
15.0ms	155×	body	80	valid
5.0ms	18×	body	320	valid
1.0ms	6×	body	160	valid

simplify173.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	36	9
4	42	9
5	51	9
6	61	9
7	71	9
8	85	9
9	101	9
10	114	9
11	117	9
done	117	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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))

rewrite104.0ms

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:

75.0ms	(- (+ x (cos y)) (* z (sin y)))
11.0ms	(+ x (cos y))
16.0ms	(* z (sin y))

series149.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (+ x (cos y)) (* z (sin y)))
28.0ms	(+ x (cos y))
60.0ms	(* z (sin y))

simplify1.2s

Counts

53 → 53

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	84	477
1	199	446
2	520	420
3	1623	420
done	5001	420

prune214.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite27.0ms

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:

19.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

310.0ms	(* (cbrt z) (cbrt z))
293.0ms	(cbrt z)
219.0ms	(cbrt z)
269.0ms	(cbrt z)

simplify4.6s

Counts

85 → 85

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune400.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

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:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt z)
324.0ms	(cbrt z)
285.0ms	(cbrt z)
287.0ms	(cbrt z)

simplify2.1s

Counts

56 → 56

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	24	260
1	42	244
2	83	220
3	167	208
4	388	208
5	1317	208
done	5000	208

prune306.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt z) (sin y))
0.3b	(* (cbrt (* z z)) (* (cbrt z) (sin y)))
0.7b	(cbrt z)
30.5b	(cbrt (* z z))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log`
10×	`associate-l`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

24.0ms	(* (cbrt z) (sin y))
36.0ms	(* (cbrt (* z z)) (* (cbrt z) (sin y)))
7.0ms	(cbrt z)
4.0ms	(cbrt (* z z))

series814.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt z) (sin y))
69.0ms	(* (cbrt (* z z)) (* (cbrt z) (sin y)))
312.0ms	(cbrt z)
278.0ms	(cbrt (* z z))

simplify3.0s

Counts

73 → 73

Iterations

Useful iterations: 3 (848.0ms)

Iter	Nodes	Cost
0	89	571
1	184	544
2	560	492
3	2015	476
done	5001	476

prune336.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes325.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.0s	5602×	body	80	valid
799.0ms	943×	body	1280	valid
445.0ms	836×	body	640	valid
207.0ms	413×	body	320	valid
42.0ms	206×	body	160	valid