Details

sample197.0ms

Algorithm

intervals

Results

59.0ms	36×	body	640	valid
56.0ms	28×	body	2560	valid
38.0ms	41×	body	1280	valid
16.0ms	124×	body	80	valid
6.0ms	14×	body	320	valid
4.0ms	13×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13
2	13	13
done	13	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.6b

localize20.0ms

Local error

Found 3 expressions with local error:

6.3b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.0b	(sin (/ x (* y 2.0)))
30.7b	(tan (/ x (* y 2.0)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 43

Calls

3 calls:

22.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
13.0ms	(sin (/ x (* y 2.0)))
79.0ms	(tan (/ x (* y 2.0)))

simplify2.0s

Counts

52 → 52

Iterations

Useful iterations: 3 (189.0ms)

Iter	Nodes	Cost
0	77	822
1	139	813
2	323	737
3	803	733
4	2504	733
done	5000	733

prune220.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 28.1b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune32.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 28.1b

localize12.0ms

Local error

Found 4 expressions with local error:

6.3b	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
30.0b	(sin (/ x (* y 2.0)))
30.0b	(sin (/ x (* y 2.0)))
30.3b	(cos (/ x (* y 2.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 91

Calls

4 calls:

41.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))
9.0ms	(cos (/ x (* y 2.0)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
16.0ms	(sin (/ x (* y 2.0)))
19.0ms	(sin (/ x (* y 2.0)))
20.0ms	(cos (/ x (* y 2.0)))

simplify3.2s

Counts

103 → 103

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	161	2815
1	347	2764
2	931	2348
3	2953	2127
done	5000	2127

prune470.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 28.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (cos (/ x (* y 2.0))))
0.3b	(cbrt (pow (/ 1 (cos (/ x (* y 2.0)))) 3))
0.4b	(pow (/ 1 (cos (/ x (* y 2.0)))) 3)
30.3b	(cos (/ x (* y 2.0)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
13×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`pow1`
5×	`div-inv`
4×	`div-exp` `pow-exp` `add-log-exp`
3×	`pow-unpow` `pow-pow` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `rec-exp` `pow-flip` `1-exp` `unpow3` `inv-pow` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube`

Counts

4 → 130

Calls

4 calls:

10.0ms	(/ 1 (cos (/ x (* y 2.0))))
10.0ms	(cbrt (pow (/ 1 (cos (/ x (* y 2.0)))) 3))
19.0ms	(pow (/ 1 (cos (/ x (* y 2.0)))) 3)
8.0ms	(cos (/ x (* y 2.0)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1 (cos (/ x (* y 2.0))))
27.0ms	(cbrt (pow (/ 1 (cos (/ x (* y 2.0)))) 3))
67.0ms	(pow (/ 1 (cos (/ x (* y 2.0)))) 3)
21.0ms	(cos (/ x (* y 2.0)))

simplify4.0s

Counts

142 → 142

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	139	2398
1	310	1896
2	641	1665
3	3675	1657
done	5000	1657

prune274.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 28.0b

regimes596.0ms

Accuracy

0% (2.3b remaining)

Error of 28.4b against oracle of 26.1b and baseline of 28.4b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample6.5s

Algorithm

intervals

Results

1.7s	1429×	body	1280	valid
1.6s	977×	body	640	valid
1.5s	633×	body	2560	valid
751.0ms	4098×	body	80	valid
362.0ms	540×	body	320	valid
165.0ms	323×	body	160	valid