Details

sample79.0ms

Algorithm

intervals

Results

20.0ms	30×	body	1280	valid
17.0ms	169×	body	80	valid
17.0ms	33×	body	640	valid
6.0ms	19×	body	320	valid
1.0ms	5×	body	160	valid

simplify52.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
3	21	9
done	21	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

69.0ms	(+ (+ x (sin y)) (* z (cos y)))
7.0ms	(+ x (sin y))
9.0ms	(* z (cos y))

series160.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ (+ x (sin y)) (* z (cos y)))
40.0ms	(+ x (sin y))
41.0ms	(* z (cos y))

simplify1.4s

Counts

52 → 52

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	78	455
1	196	424
2	561	398
3	1917	398
done	5000	398

prune160.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

41.0ms	(+ (* z (cos y)) (+ x (sin y)))
15.0ms	(+ x (sin y))
16.0ms	(* z (cos y))

series160.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (* z (cos y)) (+ x (sin y)))
46.0ms	(+ x (sin y))
56.0ms	(* z (cos y))

simplify1.5s

Counts

52 → 52

Iterations

Useful iterations: 2 (129.0ms)

Iter	Nodes	Cost
0	79	454
1	205	423
2	587	397
3	2005	397
done	5000	397

prune174.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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×	`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:

17.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
3.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series715.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
149.0ms	(cbrt (cos y))
166.0ms	(cbrt (cos y))
164.0ms	(cbrt (cos y))

simplify5.9s

Counts

85 → 85

Iterations

Useful iterations: 4 (3.2s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	336	521
3	1141	499
4	4928	492
done	5001	492

prune352.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

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:

48.0ms	(* z (pow (pow (cos y) 2) 1/3))
56.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
6.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series380.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* z (pow (pow (cos y) 2) 1/3))
62.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
128.0ms	(cbrt (cos y))

simplify4.3s

Counts

102 → 102

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	133	1081
1	301	889
2	849	792
3	3619	728
done	5001	720

prune456.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.3s	977×	body	1280	valid
785.0ms	5615×	body	80	valid
502.0ms	808×	body	640	valid
139.0ms	404×	body	320	valid
43.0ms	196×	body	160	valid