Details

sample140.0ms

Algorithm

intervals

Results

38.0ms	23×	body	2560	valid
37.0ms	43×	body	1280	valid
23.0ms	37×	body	640	valid
16.0ms	132×	body	80	valid
4.0ms	12×	body	320	valid
3.0ms	9×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	11
0	8

prune46.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.5b

localize28.0ms

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)))

rewrite26.0ms

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` `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 → 49

Calls

3 calls:

12.0ms	(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
8.0ms	(sin (/ x (* 2.0 y)))
5.0ms	(tan (/ x (* 2.0 y)))

series156.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
29.0ms	(sin (/ x (* 2.0 y)))
57.0ms	(tan (/ x (* 2.0 y)))

simplify1.0s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	3044
2	508
1	153
0	83

prune487.0ms

Pruning

14 alts after pruning (14 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

prune48.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 26.5b

localize16.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (* 0.125 (/ x y)) (/ x y) 1)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (* 0.125 (/ x y)) (/ x y) 1)

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(fma (* 0.125 (/ x y)) (/ x y) 1)

simplify553.0ms

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
3	696
2	148
1	47
0	23

prune144.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 26.5b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

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×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 99

Calls

4 calls:

42.0ms	(/ (/ (sin (/ x (* 2.0 y))) (cos (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y))))
9.0ms	(cos (/ x (* 2.0 y)))
8.0ms	(sin (/ x (* 2.0 y)))
8.0ms	(sin (/ x (* 2.0 y)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (/ (sin (/ x (* 2.0 y))) (cos (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y))))
22.0ms	(cos (/ x (* 2.0 y)))
17.0ms	(sin (/ x (* 2.0 y)))
15.0ms	(sin (/ x (* 2.0 y)))

simplify1.5s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	1800
1	403
0	167

prune685.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 26.5b

regimes371.0ms

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

sample6.3s

Algorithm

intervals

Results

1.9s	626×	body	2560	valid
1.9s	1373×	body	1280	valid
713.0ms	4104×	body	80	valid
700.0ms	1028×	body	640	valid
645.0ms	565×	body	320	valid
97.0ms	304×	body	160	valid