Details

sample159.0ms

Algorithm

intervals

Results

55.0ms	55×	body	1280	valid
29.0ms	37×	body	640	valid
26.0ms	14×	body	2560	valid
17.0ms	125×	body	80	valid
7.0ms	15×	body	320	valid
3.0ms	10×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	11
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.0b

localize27.0ms

Local error

Found 3 expressions with local error:

7.9b	(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
30.0b	(sin (/ x (* 2.0 y)))
30.2b	(tan (/ x (* 2.0 y)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`

Counts

3 → 49

Calls

3 calls:

52.0ms	(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
4.0ms	(sin (/ x (* 2.0 y)))
3.0ms	(tan (/ x (* 2.0 y)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
12.0ms	(sin (/ x (* 2.0 y)))
56.0ms	(tan (/ x (* 2.0 y)))

simplify1.2s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	3044
2	508
1	153
0	83

prune443.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 27.7b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune65.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 27.7b

localize16.0ms

Local error

Found 4 expressions with local error:

8.0b	(/ (sin (/ x (* 2.0 y))) (* (cos (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
29.8b	(cos (/ x (* 2.0 y)))
30.0b	(sin (/ x (* 2.0 y)))
30.0b	(sin (/ x (* 2.0 y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv`

Counts

4 → 50

Calls

4 calls:

48.0ms	(/ (sin (/ x (* 2.0 y))) (* (cos (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
5.0ms	(cos (/ x (* 2.0 y)))
4.0ms	(sin (/ x (* 2.0 y)))
4.0ms	(sin (/ x (* 2.0 y)))

series79.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (sin (/ x (* 2.0 y))) (* (cos (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
18.0ms	(cos (/ x (* 2.0 y)))
11.0ms	(sin (/ x (* 2.0 y)))
14.0ms	(sin (/ x (* 2.0 y)))

simplify3.2s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
3	4467
2	548
1	143
0	71

prune402.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 27.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ 1 (cos (/ x (* 2.0 y))))) (cbrt (/ 1 (cos (/ x (* 2.0 y))))))
29.8b	(cos (/ x (* 2.0 y)))
29.8b	(cos (/ x (* 2.0 y)))
29.8b	(cos (/ x (* 2.0 y)))

rewrite81.0ms

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×	`pow1/3` `add-exp-log` `div-inv`
4×	`expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 116

Calls

4 calls:

42.0ms	(* (cbrt (/ 1 (cos (/ x (* 2.0 y))))) (cbrt (/ 1 (cos (/ x (* 2.0 y))))))
7.0ms	(cos (/ x (* 2.0 y)))
8.0ms	(cos (/ x (* 2.0 y)))
15.0ms	(cos (/ x (* 2.0 y)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (cbrt (/ 1 (cos (/ x (* 2.0 y))))) (cbrt (/ 1 (cos (/ x (* 2.0 y))))))
25.0ms	(cos (/ x (* 2.0 y)))
27.0ms	(cos (/ x (* 2.0 y)))
25.0ms	(cos (/ x (* 2.0 y)))

simplify956.0ms

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	792
1	244
0	142

prune809.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 27.4b

regimes400.0ms

Accuracy

0% (2.7b remaining)

Error of 28.8b against oracle of 26.0b and baseline of 28.8b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	30
2	30
1	29
0	24

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.2s	1366×	body	1280	valid
2.1s	660×	body	2560	valid
940.0ms	1037×	body	640	valid
722.0ms	4076×	body	80	valid
272.0ms	569×	body	320	valid
100.0ms	292×	body	160	valid