Details

sample94.0ms

Algorithm

intervals

Results

33.0ms	23×	body	2560	valid
25.0ms	43×	body	1280	valid
10.0ms	134×	body	80	valid
8.0ms	23×	body	640	valid
6.0ms	23×	body	320	valid
2.0ms	10×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.3b

localize10.0ms

Local error

Found 3 expressions with local error:

8.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.3b	(sin (/ x (* y 2.0)))
27.9b	(tan (/ x (* y 2.0)))

rewrite8.0ms

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:

4.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series88.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms	(sin (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))

simplify899.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (170.0ms)

Iter	Nodes	Cost
0	77	822
1	139	813
2	372	737
3	1697	733
done	5001	733

prune181.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.1b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune32.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.1b

localize11.0ms

Local error

Found 4 expressions with local error:

8.6b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
27.3b	(sin (/ x (* y 2.0)))
27.3b	(sin (/ x (* y 2.0)))
27.6b	(cos (/ x (* y 2.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `associate-/r/` `sin-cos-mult` `cbrt-unprod` `div-inv`

Counts

4 → 43

Calls

4 calls:

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

series48.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
12.0ms	(cos (/ x (* y 2.0)))

simplify1.1s

Counts

55 → 55

Iterations

Useful iterations: 3 (351.0ms)

Iter	Nodes	Cost
0	71	905
1	147	719
2	450	548
3	1962	544
done	5000	544

prune179.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 25.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
27.6b	(cos (/ x (* y 2.0)))
27.6b	(cos (/ x (* y 2.0)))
27.6b	(cos (/ x (* y 2.0)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-prod`
76×	`add-sqr-sqrt`
52×	`times-frac`
46×	`*-un-lft-identity`
36×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
6×	`add-exp-log` `pow1/3` `div-inv`
4×	`cbrt-div` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 108

Calls

4 calls:

21.0ms	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
2.0ms	(cos (/ x (* y 2.0)))
2.0ms	(cos (/ x (* y 2.0)))
2.0ms	(cos (/ x (* y 2.0)))

series146.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
11.0ms	(cos (/ x (* y 2.0)))
11.0ms	(cos (/ x (* y 2.0)))
11.0ms	(cos (/ x (* y 2.0)))

simplify1.2s

Counts

120 → 120

Iterations

Useful iterations: 3 (337.0ms)

Iter	Nodes	Cost
0	138	2734
1	212	2485
2	487	2371
3	2049	2175
done	5000	2175

prune310.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 24.8b

regimes250.0ms

Accuracy

0% (2.7b remaining)

Error of 28.8b against oracle of 26.1b and baseline of 28.8b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample2.8s

Algorithm

intervals

Results

916.0ms	690×	body	2560	valid
833.0ms	1381×	body	1280	valid
371.0ms	984×	body	640	valid
305.0ms	4076×	body	80	valid
143.0ms	569×	body	320	valid
58.0ms	300×	body	160	valid