Details

sample55.0ms

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

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5
done	19	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

11.0ms	(* z (sin y))
8.0ms	(* x (cos y))

series74.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify91.0ms

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	118	145
1	439	125
2	1037	125
3	1579	125
4	3660	125
5	5002	125
done	5002	125

prune99.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))
1.0ms	(cbrt (cos y))

series435.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
94.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))

simplify99.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (94.0ms)

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

prune242.0ms

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))

rewrite68.0ms

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:

22.0ms	(* x (pow (pow (cos y) 2) 1/3))
39.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series243.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (pow (pow (cos y) 2) 1/3))
39.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
95.0ms	(cbrt (cos y))

simplify43.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	320	572
1	1417	499
2	5002	477
done	5002	477

prune272.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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×	`add-log-exp` `sqr-pow`
3×	`cbrt-prod` `cbrt-unprod` `unpow2`
2×	`pow-pow`
1×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 100

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))

series224.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (* x (pow (pow (cos y) 2) 1/6)) (pow (pow (cos y) 2) (/ 1/3 2)))
16.0ms	(pow (cos y) 2)
19.0ms	(pow (cos y) 2)
94.0ms	(cbrt (cos y))

simplify45.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	343	764
1	1344	490
2	5002	481
done	5002	481

prune263.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

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

604.0ms	1511×	body	1280	valid
311.0ms	1282×	body	640	valid
222.0ms	4269×	body	80	valid
107.0ms	631×	body	320	valid
39.0ms	307×	body	160	valid