Details

sample54.0ms

Algorithm

intervals

Results

16.0ms	41×	body	1280	valid
13.0ms	39×	body	640	valid
9.0ms	151×	body	80	valid
3.0ms	16×	body	320	valid
1.0ms	9×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

prune2.0ms

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

9.0ms	(+ (* x (cos y)) (* z (sin y)))
9.0ms	(* z (sin y))
8.0ms	(* x (cos y))

series157.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ (* x (cos y)) (* z (sin y)))
39.0ms	(* z (sin y))
43.0ms	(* x (cos y))

simplify2.1s

Counts

56 → 56

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	81	454
1	184	426
2	457	392
3	1059	392
4	2765	392
done	5000	392

prune141.0ms

Pruning

9 alts after pruning (9 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))

rewrite22.0ms

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:

13.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series456.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
97.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))
103.0ms	(cbrt (cos y))

simplify4.0s

Counts

85 → 85

Iterations

Useful iterations: 4 (2.1s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	336	521
3	1141	499
4	4928	492
done	5001	492

prune242.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (pow (pow (cos y) 2) 1/3))
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`unpow-prod-down`
18×	`associate-r`
16×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `cbrt-unprod`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`associate-l` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 90

Calls

4 calls:

23.0ms	(* x (pow (pow (cos y) 2) 1/3))
41.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series261.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* x (pow (pow (cos y) 2) 1/3))
39.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
104.0ms	(cbrt (cos y))

simplify2.6s

Counts

102 → 102

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	133	1081
1	301	889
2	849	792
3	3619	728
done	5001	720

prune283.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow1/3` `unpow2`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 65

Calls

4 calls:

3.0ms	(pow (cos y) 2)
5.0ms	(cbrt (pow (cos y) 2))
5.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
1.0ms	(cbrt (cos y))

series409.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(pow (cos y) 2)
162.0ms	(cbrt (pow (cos y) 2))
129.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
100.0ms	(cbrt (cos y))

simplify844.0ms

Counts

77 → 77

Iterations

Useful iterations: done (842.0ms)

Iter	Nodes	Cost
0	119	705
1	219	608
2	421	532
3	1067	522
done	5000	520

prune294.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes127.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	18	17
done	18	17

end0.0ms

sample1.6s

Algorithm

intervals

Results

613.0ms	1502×	body	1280	valid
311.0ms	1242×	body	640	valid
221.0ms	4293×	body	80	valid
120.0ms	644×	body	320	valid
37.0ms	319×	body	160	valid