Details

sample51.0ms

Algorithm

intervals

Results

16.0ms	41×	body	1280	valid
10.0ms	39×	body	640	valid
9.0ms	151×	body	80	valid
3.0ms	16×	body	320	valid
1.0ms	9×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune5.0ms

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))

rewrite36.0ms

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`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 54

Calls

3 calls:

11.0ms	(+ (* x (cos y)) (* z (sin y)))
14.0ms	(* z (sin y))
10.0ms	(* x (cos y))

series150.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (* x (cos y)) (* z (sin y)))
43.0ms	(* z (sin y))
37.0ms	(* x (cos y))

simplify2.5s

Counts

63 → 63

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	87	494
1	196	449
2	503	417
3	1301	417
4	3744	417
done	5000	417

prune171.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite24.0ms

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:

17.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series448.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
96.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	353	551
3	1189	529
done	5000	520

prune273.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite78.0ms

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:

28.0ms	(* x (pow (pow (cos y) 2) 1/3))
42.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
4.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series249.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* x (pow (pow (cos y) 2) 1/3))
40.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
96.0ms	(cbrt (cos y))

simplify2.6s

Counts

110 → 110

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	141	1143
1	310	945
2	874	842
3	3706	778
done	5000	769

prune342.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite15.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow1/3` `unpow2`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 73

Calls

4 calls:

4.0ms	(pow (cos y) 2)
3.0ms	(cbrt (pow (cos y) 2))
5.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
1.0ms	(cbrt (cos y))

series427.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(pow (cos y) 2)
170.0ms	(cbrt (pow (cos y) 2))
140.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
99.0ms	(cbrt (cos y))

simplify834.0ms

Counts

85 → 85

Iterations

Useful iterations: done (832.0ms)

Iter	Nodes	Cost
0	127	751
1	231	650
2	445	574
3	1106	564
done	5001	559

prune346.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes140.0ms

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

625.0ms	1502×	body	1280	valid
307.0ms	1242×	body	640	valid
253.0ms	4293×	body	80	valid
110.0ms	644×	body	320	valid
39.0ms	319×	body	160	valid