Details

sample89.0ms

Algorithm

intervals

Results

29.0ms	40×	body	1280	valid
19.0ms	37×	body	640	valid
18.0ms	155×	body	80	valid
7.0ms	18×	body	320	valid
2.0ms	6×	body	160	valid

simplify157.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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))

rewrite65.0ms

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:

44.0ms	(- (+ x (cos y)) (* z (sin y)))
10.0ms	(+ x (cos y))
10.0ms	(* z (sin y))

series126.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (+ x (cos y)) (* z (sin y)))
31.0ms	(+ x (cos y))
43.0ms	(* z (sin y))

simplify1.2s

Counts

53 → 53

Iterations

Useful iterations: 2 (70.0ms)

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

prune228.0ms

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

rewrite39.0ms

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:

21.0ms	(* (cbrt z) (cbrt z))
11.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

319.0ms	(* (cbrt z) (cbrt z))
247.0ms	(cbrt z)
222.0ms	(cbrt z)
268.0ms	(cbrt z)

simplify4.4s

Counts

85 → 85

Iterations

Useful iterations: done (4.4s)

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

prune258.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

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)
1.0ms	(cbrt z)

series972.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt z)
247.0ms	(cbrt z)
250.0ms	(cbrt z)
225.0ms	(cbrt z)

simplify1.8s

Counts

56 → 56

Iterations

Useful iterations: 3 (30.0ms)

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

prune232.0ms

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))

rewrite45.0ms

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:

12.0ms	(* (cbrt z) (sin y))
27.0ms	(* (cbrt (* z z)) (* (cbrt z) (sin y)))
1.0ms	(cbrt z)
4.0ms	(cbrt (* z z))

series743.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (cbrt z) (sin y))
78.0ms	(* (cbrt (* z z)) (* (cbrt z) (sin y)))
280.0ms	(cbrt z)
250.0ms	(cbrt (* z z))

simplify2.7s

Counts

73 → 73

Iterations

Useful iterations: 3 (722.0ms)

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

prune225.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes184.0ms

Accuracy

0% (0.0b 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	8	9
1	10	9
done	10	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	943×	body	1280	valid
494.0ms	5602×	body	80	valid
447.0ms	836×	body	640	valid
112.0ms	413×	body	320	valid
38.0ms	206×	body	160	valid