Details

sample105.0ms

Algorithm

intervals

Results

35.0ms	48×	body	1280	valid
20.0ms	14×	body	2560	valid
15.0ms	33×	body	640	valid
13.0ms	126×	body	80	valid
7.0ms	22×	body	320	valid
3.0ms	13×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.4b

localize50.0ms

Local error

Found 3 expressions with local error:

8.1b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.6b	(sin (/ x (* y 2.0)))
29.8b	(tan (/ x (* y 2.0)))

rewrite19.0ms

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` `insert-posit16` `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 → 52

Calls

3 calls:

10.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))

series479.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
379.0ms	(sin (/ x (* y 2.0)))
53.0ms	(tan (/ x (* y 2.0)))

simplify1.2s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
3	1564
2	418
1	155
0	86

prune409.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 27.2b

localize0.0ms

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

prune77.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 27.2b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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` `expm1-log1p-u` `frac-times` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

33.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify2.8s

Counts

73 → 73

Iterations

Iter	Nodes
done	5022
3	3891
2	1347
1	379
0	112

prune344.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 27.2b

localize39.0ms

Local error

Found 4 expressions with local error:

29.6b	(sin (/ x (* y 2.0)))
29.8b	(tan (/ x (* y 2.0)))
29.8b	(tan (/ x (* y 2.0)))
29.8b	(tan (/ x (* y 2.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot`

Counts

4 → 43

Calls

4 calls:

5.0ms	(sin (/ x (* y 2.0)))
6.0ms	(tan (/ x (* y 2.0)))
6.0ms	(tan (/ x (* y 2.0)))
5.0ms	(tan (/ x (* y 2.0)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sin (/ x (* y 2.0)))
49.0ms	(tan (/ x (* y 2.0)))
57.0ms	(tan (/ x (* y 2.0)))
48.0ms	(tan (/ x (* y 2.0)))

simplify2.9s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
4	1413
3	434
2	139
1	64
0	39

prune472.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 27.1b

regimes573.0ms

Accuracy

0% (2.3b remaining)

Error of 28.0b against oracle of 25.7b and baseline of 28.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	1
0	1

end0.0ms

sample6.7s

Algorithm

intervals

Results

1.8s	1377×	body	1280	valid
1.8s	4145×	body	80	valid
1.5s	623×	body	2560	valid
871.0ms	980×	body	640	valid
394.0ms	578×	body	320	valid
104.0ms	297×	body	160	valid