Details

sample114.0ms

Algorithm

intervals

Results

35.0ms	51×	body	1280	valid
29.0ms	20×	body	2560	valid
13.0ms	29×	body	640	valid
13.0ms	126×	body	80	valid
6.0ms	17×	body	320	valid
3.0ms	13×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.9b

localize13.0ms

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)))

rewrite66.0ms

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:

18.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
39.0ms	(sin (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))

series524.0ms

Counts

3 → 9

Calls

3 calls:

432.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
15.0ms	(sin (/ x (* y 2.0)))
76.0ms	(tan (/ x (* y 2.0)))

simplify1.3s

Counts

58 → 58

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	83	878
1	152	865
2	508	789
3	3237	789
done	5002	789

prune308.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 26.8b

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

prune47.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 26.8b

localize15.0ms

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)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `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 → 51

Calls

4 calls:

37.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
5.0ms	(sin (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))
6.0ms	(cos (/ x (* y 2.0)))

series92.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
17.0ms	(sin (/ x (* y 2.0)))
13.0ms	(sin (/ x (* y 2.0)))
17.0ms	(cos (/ x (* y 2.0)))

simplify2.6s

Counts

63 → 63

Iterations

Useful iterations: 3 (584.0ms)

Iter	Nodes	Cost
0	77	989
1	152	777
2	491	604
3	3703	600
done	5001	600

prune300.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 26.8b

localize21.0ms

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)))

rewrite54.0ms

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:

31.0ms	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
5.0ms	(cos (/ x (* y 2.0)))
5.0ms	(cos (/ x (* y 2.0)))
6.0ms	(cos (/ x (* y 2.0)))

series302.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
16.0ms	(cos (/ x (* y 2.0)))
17.0ms	(cos (/ x (* y 2.0)))
32.0ms	(cos (/ x (* y 2.0)))

simplify1.0s

Counts

128 → 128

Iterations

Useful iterations: done (1.0s)

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

prune568.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 26.5b

regimes527.0ms

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

sample7.0s

Algorithm

intervals

Results

2.4s	1392×	body	1280	valid
1.4s	613×	body	2560	valid
1.4s	1019×	body	640	valid
911.0ms	4134×	body	80	valid
311.0ms	545×	body	320	valid
107.0ms	297×	body	160	valid