Details

sample42.0ms

Algorithm

intervals

Results

13.0ms	31×	body	1280	valid
10.0ms	182×	body	80	valid
5.0ms	20×	body	640	valid
3.0ms	19×	body	320	valid
0.0ms	4×	body	160	valid

simplify224.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	27	9
3	33	9
4	39	9
5	48	9
6	61	9
7	88	9
8	130	9
9	156	9
10	181	9
11	204	9
12	222	9
done	222	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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))

rewrite26.0ms

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:

18.0ms	(- (+ x (cos y)) (* z (sin y)))
3.0ms	(+ x (cos y))
4.0ms	(* z (sin y))

series115.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (+ x (cos y)) (* z (sin y)))
24.0ms	(+ x (cos y))
41.0ms	(* z (sin y))

simplify1.1s

Counts

53 → 53

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	84	477
1	208	446
2	609	420
3	2335	420
done	5001	420

prune138.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite11.0ms

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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series420.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
106.0ms	(cbrt (sin y))
99.0ms	(cbrt (sin y))
97.0ms	(cbrt (sin y))

simplify1.7s

Counts

85 → 85

Iterations

Useful iterations: 3 (538.0ms)

Iter	Nodes	Cost
0	75	710
1	159	632
2	538	534
3	2147	512
done	5001	512

prune243.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.7b	(cbrt (cbrt (sin y)))
0.7b	(cbrt (cbrt (sin y)))
0.7b	(cbrt (cbrt (sin y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (cbrt (sin y)))
1.0ms	(cbrt (cbrt (sin y)))
1.0ms	(cbrt (cbrt (sin y)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (sin y))
99.0ms	(cbrt (cbrt (sin y)))
101.0ms	(cbrt (cbrt (sin y)))
99.0ms	(cbrt (cbrt (sin y)))

simplify719.0ms

Counts

65 → 65

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	56	509
1	113	497
2	233	452
3	601	440
4	1810	440
done	5000	440

prune245.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (cbrt (pow (sin y) 2)))
0.3b	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
0.6b	(cbrt (sin y))
17.2b	(cbrt (pow (sin y) 2))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
21×	`add-sqr-sqrt`
17×	`associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log`
7×	`unpow-prod-down` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unpow2` `sqr-pow`
2×	`pow1/3` `*-commutative`

Counts

4 → 78

Calls

4 calls:

12.0ms	(* z (cbrt (pow (sin y) 2)))
15.0ms	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (pow (sin y) 2))

series338.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* z (cbrt (pow (sin y) 2)))
42.0ms	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
99.0ms	(cbrt (sin y))
116.0ms	(cbrt (pow (sin y) 2))

simplify577.0ms

Counts

90 → 90

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	128	911
1	298	859
2	1158	732
done	5001	732

prune296.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.2s

Algorithm

intervals

Results

425.0ms	970×	body	1280	valid
304.0ms	5648×	body	80	valid
192.0ms	760×	body	640	valid
72.0ms	414×	body	320	valid
32.0ms	208×	body	160	valid