Details

sample58.0ms

Algorithm

intervals

Results

16.0ms	171×	body	80	valid
15.0ms	31×	body	1280	valid
8.0ms	27×	body	640	valid
4.0ms	20×	body	320	valid
1.0ms	7×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
3	22
2	19
1	13
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sin y))
0.1b	(* z (cos y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+ x (sin y))
7.0ms	(* z (cos y))

series82.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (sin y))
53.0ms	(* z (cos y))

simplify1.7s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	3474
3	1084
2	336
1	130
0	56

prune194.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

16.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series572.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
114.0ms	(cbrt (cos y))
118.0ms	(cbrt (cos y))
132.0ms	(cbrt (cos y))

simplify724.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune404.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

32.0ms	(* (pow (pow (cos y) 2) 1/3) z)
38.0ms	(* (* (pow (pow (cos y) 2) 1/3) z) (cbrt (cos y)))
4.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series367.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (pow (pow (cos y) 2) 1/3) z)
58.0ms	(* (* (pow (pow (cos y) 2) 1/3) z) (cbrt (cos y)))
24.0ms	(pow (cos y) 2)
127.0ms	(cbrt (cos y))

simplify884.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	1754
1	356
0	136

prune592.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

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` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
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-r` `*-commutative`

Counts

4 → 100

Calls

4 calls:

44.0ms	(* (pow (pow (cos y) 2) (/ 1/3 2)) (* z (pow (pow (cos y) 2) 1/6)))
3.0ms	(pow (cos y) 2)
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series315.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (pow (pow (cos y) 2) (/ 1/3 2)) (* z (pow (pow (cos y) 2) 1/6)))
24.0ms	(pow (cos y) 2)
24.0ms	(pow (cos y) 2)
132.0ms	(cbrt (cos y))

simplify676.0ms

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	1400
1	355
0	125

prune481.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes289.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	5546×	body	80	valid
661.0ms	1011×	body	1280	valid
331.0ms	824×	body	640	valid
104.0ms	412×	body	320	valid
39.0ms	207×	body	160	valid