Details

sample135.0ms

Algorithm

intervals

Results

45.0ms	51×	body	1280	valid
36.0ms	19×	body	2560	valid
16.0ms	132×	body	80	valid
15.0ms	26×	body	640	valid
8.0ms	21×	body	320	valid
2.0ms	7×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize26.0ms

Local error

Found 3 expressions with local error:

6.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.0b	(sin (/ x (* y 2.0)))
29.0b	(tan (/ x (* y 2.0)))

rewrite29.0ms

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×	`pow1` `associate-/r` `insert-posit16` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`

Counts

3 → 46

Calls

3 calls:

16.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
7.0ms	(sin (/ x (* y 2.0)))
5.0ms	(tan (/ x (* y 2.0)))

series104.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
52.0ms	(tan (/ x (* y 2.0)))

simplify1.3s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
3	1506
2	411
1	147
0	80

prune340.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 26.1b

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

prune69.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 26.1b

localize16.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (/ x y) (/ x y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
40×	`times-frac`
29×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-exp-log`
8×	`pow1`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`pow2` `frac-times` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `add-log-exp`

Counts

1 → 68

Calls

1 calls:

26.0ms

(* (/ x y) (/ x y))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* (/ x y) (/ x y))

simplify1.8s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
3	3627
2	1254
1	381
0	110

prune226.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 26.1b

localize29.0ms

Local error

Found 4 expressions with local error:

28.0b	(sin (/ x (* y 2.0)))
29.0b	(tan (/ x (* y 2.0)))
29.0b	(tan (/ x (* y 2.0)))
29.0b	(tan (/ x (* y 2.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`tan-quot`

Counts

4 → 35

Calls

4 calls:

5.0ms	(sin (/ x (* y 2.0)))
8.0ms	(tan (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sin (/ x (* y 2.0)))
70.0ms	(tan (/ x (* y 2.0)))
56.0ms	(tan (/ x (* y 2.0)))
49.0ms	(tan (/ x (* y 2.0)))

simplify2.1s

Counts

47 → 47

Iterations

Iter	Nodes
done	5006
4	1601
3	441
2	131
1	59
0	35

prune278.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 26.0b

regimes391.0ms

Accuracy

0% (2.4b remaining)

Error of 28.7b against oracle of 26.3b and baseline of 28.7b

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
done	1
0	1

end0.0ms

sample5.3s

Algorithm

intervals

Results

1.7s	668×	body	2560	valid
1.5s	1440×	body	1280	valid
1.0s	4059×	body	80	valid
629.0ms	994×	body	640	valid
285.0ms	537×	body	320	valid
88.0ms	302×	body	160	valid