Details

sample153.0ms

Algorithm

intervals

Results

50.0ms	34×	body	1280	valid
34.0ms	18×	body	2560	valid
20.0ms	151×	body	80	valid
18.0ms	27×	body	640	valid
8.0ms	18×	body	320	valid
3.0ms	8×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.0b

localize20.0ms

Local error

Found 3 expressions with local error:

8.9b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
24.4b	(tan (/ x (* y 2.0)))
24.4b	(sin (/ x (* y 2.0)))

rewrite31.0ms

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` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 49

Calls

3 calls:

17.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(tan (/ x (* y 2.0)))
7.0ms	(sin (/ x (* y 2.0)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
59.0ms	(tan (/ x (* y 2.0)))
41.0ms	(sin (/ x (* y 2.0)))

simplify1.5s

Counts

58 → 58

Iterations

Useful iterations: 3 (466.0ms)

Iter	Nodes	Cost
0	83	878
1	152	865
2	511	791
3	3177	785
done	5000	785

prune423.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 22.4b

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

prune72.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 22.4b

localize25.0ms

Local error

Found 4 expressions with local error:

8.9b	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
24.3b	(cos (/ x (* y 2.0)))
24.4b	(sin (/ x (* y 2.0)))
24.4b	(sin (/ x (* y 2.0)))

rewrite88.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 99

Calls

4 calls:

54.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
8.0ms	(cos (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))

series92.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
20.0ms	(cos (/ x (* y 2.0)))
18.0ms	(sin (/ x (* y 2.0)))
19.0ms	(sin (/ x (* y 2.0)))

simplify1.6s

Counts

111 → 111

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	167	2899
1	402	2848
2	1791	2436
done	5001	2185

prune703.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 22.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
24.3b	(cos (/ x (* y 2.0)))
24.3b	(cos (/ x (* y 2.0)))
24.3b	(cos (/ x (* y 2.0)))

rewrite78.0ms

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×	`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-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 116

Calls

4 calls:

41.0ms	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
7.0ms	(cos (/ x (* y 2.0)))
7.0ms	(cos (/ x (* y 2.0)))
8.0ms	(cos (/ x (* y 2.0)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
22.0ms	(cos (/ x (* y 2.0)))
20.0ms	(cos (/ x (* y 2.0)))
20.0ms	(cos (/ x (* y 2.0)))

simplify1.1s

Counts

128 → 128

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	142	2816
1	244	2565
2	793	2451
done	5000	2299

prune647.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 22.2b

regimes689.0ms

Accuracy

0% (2.5b remaining)

Error of 28.5b against oracle of 26.0b and baseline of 28.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	29
1	15	29
done	15	29

end0.0ms

sample7.1s

Algorithm

intervals

Results

1.9s	1365×	body	1280	valid
1.4s	637×	body	2560	valid
1.3s	4096×	body	80	valid
938.0ms	996×	body	640	valid
678.0ms	323×	body	160	valid
416.0ms	583×	body	320	valid