Details

sample56.0ms

Algorithm

intervals

Results

21.0ms	53×	body	1280	valid
12.0ms	50×	body	640	valid
7.0ms	129×	body	80	valid
3.0ms	20×	body	320	valid
0.0ms	4×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	21	5
2	25	5
3	25	5
done	25	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

13.0ms	(* z (sin y))
8.0ms	(* x (cos y))

series77.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* z (sin y))
39.0ms	(* x (cos y))

simplify98.0ms

Counts

46 → 46

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	122	157
1	443	137
2	1041	137
3	1583	137
4	3679	137
5	5001	137
done	5001	137

prune115.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

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))

series461.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
99.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))

simplify103.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	128	471
1	500	419
2	3232	387
3	5002	381
done	5002	381

prune290.0ms

Pruning

9 alts after pruning (9 fresh and 0 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)))
0.3b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite69.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 98

Calls

4 calls:

22.0ms	(* x (pow (pow (cos y) 2) 1/3))
40.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series258.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* x (pow (pow (cos y) 2) 1/3))
43.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
100.0ms	(cbrt (cos y))

simplify49.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	330	610
1	1447	529
2	5001	498
done	5001	498

prune323.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (pow (pow (cos y) 2) 1/6)) (pow (pow (cos y) 2) (/ 1/3 2)))
0.3b	(pow (cos y) 2)
0.3b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-exp-log`
55×	`prod-exp`
46×	`pow-exp`
24×	`pow-to-exp`
17×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
9×	`add-cbrt-cube`
6×	`pow1` `pow-unpow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`cbrt-prod` `cbrt-unprod` `unpow2`
2×	`pow-pow`
1×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 108

Calls

4 calls:

51.0ms	(* (* x (pow (pow (cos y) 2) 1/6)) (pow (pow (cos y) 2) (/ 1/3 2)))
3.0ms	(pow (cos y) 2)
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series235.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (* x (pow (pow (cos y) 2) 1/6)) (pow (pow (cos y) 2) (/ 1/3 2)))
17.0ms	(pow (cos y) 2)
17.0ms	(pow (cos y) 2)
101.0ms	(cbrt (cos y))

simplify46.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	351	802
1	1428	525
2	5001	485
done	5001	485

prune323.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes110.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	14
1	24	14
2	24	14
done	24	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

619.0ms	1511×	body	1280	valid
309.0ms	1282×	body	640	valid
229.0ms	4269×	body	80	valid
106.0ms	631×	body	320	valid
39.0ms	307×	body	160	valid