Details

sample58.0ms

Algorithm

intervals

Results

21.0ms	53×	body	1280	valid
15.0ms	50×	body	640	valid
7.0ms	129×	body	80	valid
3.0ms	20×	body	320	valid
0.0ms	4×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5
done	11	5

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)))
0.1b	(* 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:

10.0ms	(+ (* x (cos y)) (* z (sin y)))
9.0ms	(* z (sin y))
8.0ms	(* x (cos y))

series155.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (* x (cos y)) (* z (sin y)))
39.0ms	(* z (sin y))
42.0ms	(* x (cos y))

simplify70.0ms

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	183	248
1	698	227
2	2213	227
3	5001	227
done	5001	227

prune141.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite19.0ms

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))
2.0ms	(cbrt (cos y))

series476.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
103.0ms	(cbrt (cos y))
103.0ms	(cbrt (cos y))
106.0ms	(cbrt (cos y))

simplify103.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351
done	5001	351

prune267.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (pow (cos y) 2) 1/3)
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

6.0ms	(pow (pow (cos y) 2) 1/3)
42.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series326.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(pow (pow (cos y) 2) 1/3)
45.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
104.0ms	(cbrt (cos y))

simplify50.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	312	474
1	1319	403
2	5001	386
done	5001	386

prune265.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (pow (cos y) 2) (sqrt 1/3))
0.2b	(* (* x (pow (pow (pow (cos y) 2) (sqrt 1/3)) (sqrt 1/3))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
15×	`prod-exp`
14×	`unpow-prod-down` `pow-exp`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow-unpow`
7×	`pow1` `add-cbrt-cube`
6×	`cbrt-prod` `pow-to-exp` `associate-r`
4×	`add-log-exp`
3×	`sqrt-prod` `cbrt-unprod` `sqr-pow`
2×	`pow-pow` `unpow2`
1×	`pow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 82

Calls

4 calls:

6.0ms	(pow (pow (cos y) 2) (sqrt 1/3))
63.0ms	(* (* x (pow (pow (pow (cos y) 2) (sqrt 1/3)) (sqrt 1/3))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series628.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(pow (pow (cos y) 2) (sqrt 1/3))
336.0ms	(* (* x (pow (pow (pow (cos y) 2) (sqrt 1/3)) (sqrt 1/3))) (cbrt (cos y)))
19.0ms	(pow (cos y) 2)
105.0ms	(cbrt (cos y))

simplify50.0ms

Counts

94 → 94

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	360	669
1	1495	589
2	5001	491
done	5001	491

prune266.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes123.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13
done	20	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

612.0ms	1511×	body	1280	valid
320.0ms	1282×	body	640	valid
230.0ms	4269×	body	80	valid
103.0ms	631×	body	320	valid
35.0ms	307×	body	160	valid