Details

sample172.0ms

Algorithm

intervals

Results

59.0ms	23×	body	2560	valid
43.0ms	43×	body	1280	valid
27.0ms	37×	body	640	valid
18.0ms	132×	body	80	valid
6.0ms	12×	body	320	valid
3.0ms	9×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	11
0	8

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.5b

localize27.0ms

Local error

Found 3 expressions with local error:

7.3b	(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
28.5b	(sin (/ x (* 2.0 y)))
28.9b	(tan (/ x (* 2.0 y)))

rewrite17.0ms

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

Counts

3 → 43

Calls

3 calls:

9.0ms	(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
4.0ms	(sin (/ x (* 2.0 y)))
3.0ms	(tan (/ x (* 2.0 y)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
16.0ms	(sin (/ x (* 2.0 y)))
63.0ms	(tan (/ x (* 2.0 y)))

simplify1.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	3127
2	501
1	145
0	77

prune336.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 26.5b

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

prune55.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 26.5b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (/ x y) (* (/ x y) 0.125))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
13×	`associate-l`
10×	`prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1`
5×	`cbrt-undiv` `div-exp`
3×	`pow-prod-down` `associate-*l/`
1×	`frac-times` `associate-r` `associate-r/` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

31.0ms

(* (/ x y) (* (/ x y) 0.125))

series70.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(* (/ x y) (* (/ x y) 0.125))

simplify830.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	5001
2	1292
1	248
0	82

prune175.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 26.5b

localize48.0ms

Local error

Found 4 expressions with local error:

7.3b	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* 2.0 y))))
28.4b	(cos (/ x (* y 2.0)))
28.5b	(sin (/ x (* 2.0 y)))
28.5b	(sin (/ x (* y 2.0)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 91

Calls

4 calls:

29.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* 2.0 y))))
4.0ms	(cos (/ x (* y 2.0)))
4.0ms	(sin (/ x (* 2.0 y)))
5.0ms	(sin (/ x (* y 2.0)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* 2.0 y))))
23.0ms	(cos (/ x (* y 2.0)))
19.0ms	(sin (/ x (* 2.0 y)))
18.0ms	(sin (/ x (* y 2.0)))

simplify1.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	2189
1	395
0	171

prune590.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 26.5b

regimes792.0ms

Accuracy

0% (2.4b remaining)

Error of 28.5b against oracle of 26.1b and baseline of 28.5b

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
done	1
0	1

end0.0ms

sample6.2s

Algorithm

intervals

Results

1.7s	1373×	body	1280	valid
1.4s	1028×	body	640	valid
1.3s	626×	body	2560	valid
1.1s	4104×	body	80	valid
287.0ms	565×	body	320	valid
124.0ms	304×	body	160	valid