Details

sample81.0ms

Algorithm

intervals

Results

22.0ms	31×	body	1280	valid
16.0ms	171×	body	80	valid
12.0ms	27×	body	640	valid
6.0ms	20×	body	320	valid
2.0ms	7×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:

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

series103.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ x (sin y))
58.0ms	(* z (cos y))

simplify2.1s

Counts

36 → 36

Iterations

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

prune182.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

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))

rewrite27.0ms

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:

20.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series729.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
166.0ms	(cbrt (cos y))
167.0ms	(cbrt (cos y))
139.0ms	(cbrt (cos y))

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune572.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
19×	`add-sqr-sqrt`
16×	`prod-exp`
14×	`associate-r`
13×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`cbrt-unprod`
7×	`associate-l`
6×	`cbrt-prod`
4×	`pow-exp` `add-log-exp` `unswap-sqr`
3×	`swap-sqr` `*-commutative`
2×	`pow-to-exp` `unpow-prod-down` `unpow1/3` `pow-prod-down` `sqr-pow`
1×	`pow2` `sqr-cos` `pow-plus` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 87

Calls

4 calls:

26.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
50.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
14.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series369.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
48.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
20.0ms	(* (cos y) (cos y))
139.0ms	(cbrt (cos y))

simplify1.8s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	2386
1	338
0	127

prune641.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
47×	`prod-exp`
18×	`add-sqr-sqrt` `pow1` `pow-exp`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube`
11×	`associate-r`
9×	`pow-to-exp`
7×	`associate-l`
6×	`swap-sqr`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`cbrt-prod` `*-commutative`
2×	`pow2` `sqr-cos` `pow-plus` `pow-prod-down` `pow-sqr` `cos-mult` `pow-prod-up` `unswap-sqr`
1×	`unpow-prod-down` `pow1/3` `sqr-pow`

Counts

4 → 101

Calls

4 calls:

52.0ms	(* (* z (pow (* (cos y) (cos y)) (/ 1/3 2))) (pow (* (cos y) (cos y)) (/ 1/3 2)))
16.0ms	(* (cos y) (cos y))
17.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series425.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (* z (pow (* (cos y) (cos y)) (/ 1/3 2))) (pow (* (cos y) (cos y)) (/ 1/3 2)))
35.0ms	(* (cos y) (cos y))
36.0ms	(* (cos y) (cos y))
193.0ms	(cbrt (cos y))

simplify1.4s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1942
1	320
0	116

prune639.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes367.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.5s	1011×	body	1280	valid
816.0ms	5546×	body	80	valid
402.0ms	824×	body	640	valid
141.0ms	412×	body	320	valid
48.0ms	207×	body	160	valid