Details

sample169.0ms

Algorithm

intervals

Results

67.0ms	51×	body	1280	valid
37.0ms	20×	body	2560	valid
19.0ms	29×	body	640	valid
17.0ms	126×	body	80	valid
9.0ms	17×	body	320	valid
4.0ms	13×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.9b

localize19.0ms

Local error

Found 3 expressions with local error:

8.9b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.3b	(sin (/ x (* y 2.0)))
29.5b	(tan (/ x (* y 2.0)))

rewrite34.0ms

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:

18.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
6.0ms	(tan (/ x (* y 2.0)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
11.0ms	(sin (/ x (* y 2.0)))
75.0ms	(tan (/ x (* y 2.0)))

simplify1.2s

Counts

52 → 52

Iterations

Useful iterations: 3 (403.0ms)

Iter	Nodes	Cost
0	77	822
1	144	813
2	491	739
3	3059	737
done	5000	737

prune267.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 26.8b

localize1.0ms

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

prune51.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 26.8b

localize14.0ms

Local error

Found 4 expressions with local error:

8.9b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
29.3b	(sin (/ x (* y 2.0)))
29.3b	(sin (/ x (* y 2.0)))
29.3b	(cos (/ x (* y 2.0)))

rewrite60.0ms

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:

41.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
8.0ms	(sin (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))
5.0ms	(cos (/ x (* y 2.0)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
18.0ms	(sin (/ x (* y 2.0)))
16.0ms	(sin (/ x (* y 2.0)))
22.0ms	(cos (/ x (* y 2.0)))

simplify2.2s

Counts

55 → 55

Iterations

Useful iterations: 3 (537.0ms)

Iter	Nodes	Cost
0	71	905
1	145	719
2	483	546
3	3616	542
done	5001	542

prune252.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 26.8b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
29.3b	(cos (/ x (* y 2.0)))
29.3b	(cos (/ x (* y 2.0)))
29.3b	(cos (/ x (* y 2.0)))

rewrite98.0ms

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:

62.0ms	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
10.0ms	(cos (/ x (* y 2.0)))
10.0ms	(cos (/ x (* y 2.0)))
11.0ms	(cos (/ x (* y 2.0)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
21.0ms	(cos (/ x (* y 2.0)))
15.0ms	(cos (/ x (* y 2.0)))
15.0ms	(cos (/ x (* y 2.0)))

simplify916.0ms

Counts

120 → 120

Iterations

Useful iterations: done (910.0ms)

Iter	Nodes	Cost
0	138	2734
1	239	2485
2	858	2371
done	5001	2229

prune462.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 26.5b

regimes448.0ms

Accuracy

0% (2.6b remaining)

Error of 28.3b against oracle of 25.7b and baseline of 28.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.3s	1392×	body	1280	valid
1.2s	613×	body	2560	valid
718.0ms	1019×	body	640	valid
644.0ms	4134×	body	80	valid
362.0ms	545×	body	320	valid
107.0ms	297×	body	160	valid