Details

sample144.0ms

Algorithm

intervals

Results

65.0ms	51×	body	1280	valid
31.0ms	19×	body	2560	valid
15.0ms	132×	body	80	valid
13.0ms	26×	body	640	valid
8.0ms	21×	body	320	valid
2.0ms	7×	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: 34.3b

localize17.0ms

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)))

rewrite22.0ms

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:

12.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))

series113.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
12.0ms	(sin (/ x (* y 2.0)))
55.0ms	(tan (/ x (* y 2.0)))

simplify1.1s

Counts

61 → 61

Iterations

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

prune439.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 26.1b

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

prune49.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 26.1b

localize33.0ms

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)))

rewrite17.0ms

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

series179.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sin (/ x (* y 2.0)))
56.0ms	(tan (/ x (* y 2.0)))
60.0ms	(tan (/ x (* y 2.0)))
48.0ms	(tan (/ x (* y 2.0)))

simplify3.1s

Counts

55 → 55

Iterations

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

prune473.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 26.0b

localize48.0ms

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)))

rewrite28.0ms

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)))
4.0ms	(tan (/ x (* y 2.0)))
10.0ms	(tan (/ x (* y 2.0)))
8.0ms	(tan (/ x (* y 2.0)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sin (/ x (* y 2.0)))
64.0ms	(tan (/ x (* y 2.0)))
57.0ms	(tan (/ x (* y 2.0)))
59.0ms	(tan (/ x (* y 2.0)))

simplify3.1s

Counts

55 → 55

Iterations

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

prune394.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 26.0b

regimes606.0ms

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

sample6.9s

Algorithm

intervals

Results

2.1s	668×	body	2560	valid
1.9s	1440×	body	1280	valid
1.4s	994×	body	640	valid
824.0ms	4059×	body	80	valid
332.0ms	537×	body	320	valid
135.0ms	302×	body	160	valid