Details

sample106.0ms

Algorithm

intervals

Results

33.0ms	34×	body	1280	valid
21.0ms	167×	body	80	valid
20.0ms	33×	body	640	valid
6.0ms	15×	body	320	valid
2.0ms	7×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	37	9
4	43	9
5	52	9
6	111	9
7	281	9
8	766	9
9	2120	9
done	5000	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

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`
3×	`associate-r` `associate-l`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

9.0ms	(+ x (cos y))
43.0ms	(- (+ x (cos y)) (* z (sin y)))
10.0ms	(* z (sin y))

series172.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ x (cos y))
78.0ms	(- (+ x (cos y)) (* z (sin y)))
62.0ms	(* z (sin y))

simplify2.1s

Counts

53 → 53

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	84	477
1	205	446
2	658	420
3	3302	420
done	5001	420

prune177.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite26.0ms

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:

18.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

302.0ms	(* (cbrt z) (cbrt z))
256.0ms	(cbrt z)
258.0ms	(cbrt z)
205.0ms	(cbrt z)

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune325.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite44.0ms

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:

31.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))

series610.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
140.0ms	(cbrt (sin y))
190.0ms	(cbrt (sin y))
132.0ms	(cbrt (sin y))

simplify975.0ms

Counts

85 → 85

Iterations

Useful iterations: done (972.0ms)

Iter	Nodes	Cost
0	75	710
1	177	628
2	754	534
done	5000	520

prune369.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (sin y) 2)
0.3b	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
0.6b	(cbrt (sin y))
12.3b	(cbrt (pow (sin y) 2))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 66

Calls

4 calls:

4.0ms	(pow (sin y) 2)
52.0ms	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
3.0ms	(cbrt (pow (sin y) 2))

series349.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow (sin y) 2)
41.0ms	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
121.0ms	(cbrt (sin y))
163.0ms	(cbrt (pow (sin y) 2))

simplify873.0ms

Counts

78 → 78

Iterations

Useful iterations: done (871.0ms)

Iter	Nodes	Cost
0	123	727
1	326	668
2	1564	572
done	5000	557

prune262.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes127.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	997×	body	1280	valid
545.0ms	5589×	body	80	valid
324.0ms	796×	body	640	valid
105.0ms	408×	body	320	valid
77.0ms	210×	body	160	valid