Details

sample205.0ms

Algorithm

intervals

Results

62.0ms	25×	body	2560	valid
57.0ms	43×	body	1280	valid
25.0ms	29×	body	640	valid
24.0ms	130×	body	80	valid
12.0ms	20×	body	320	valid
4.0ms	9×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.1b

localize87.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (* y 2.0))
7.9b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.7b	(sin (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
4×	`expm1-log1p-u` `pow1` `associate-/r*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`clear-num` `frac-2neg` `tan-quot` `div-inv`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 76

Calls

4 calls:

15.0ms	(/ x (* y 2.0))
23.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
11.0ms	(sin (/ x (* y 2.0)))
8.0ms	(tan (/ x (* y 2.0)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ x (* y 2.0))
74.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
12.0ms	(sin (/ x (* y 2.0)))
77.0ms	(tan (/ x (* y 2.0)))

simplify2.5s

Counts

88 → 88

Iterations

Iter	Nodes
done	5082
3	4054
2	766
1	239
0	129

prune520.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 25.6b

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

prune75.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 25.6b

localize64.0ms

Local error

Found 4 expressions with local error:

28.7b	(sin (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))

rewrite32.0ms

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:

10.0ms	(sin (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sin (/ x (* y 2.0)))
71.0ms	(tan (/ x (* y 2.0)))
57.0ms	(tan (/ x (* y 2.0)))
65.0ms	(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

prune467.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 25.6b

localize56.0ms

Local error

Found 4 expressions with local error:

28.7b	(sin (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))

rewrite23.0ms

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

series184.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sin (/ x (* y 2.0)))
53.0ms	(tan (/ x (* y 2.0)))
67.0ms	(tan (/ x (* y 2.0)))
47.0ms	(tan (/ x (* y 2.0)))

simplify3.2s

Counts

55 → 55

Iterations

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

prune470.0ms

Pruning

19 alts after pruning (16 fresh and 3 done)

Merged error: 25.6b

regimes794.0ms

Accuracy

0% (3.2b remaining)

Error of 28.4b against oracle of 25.3b and baseline of 28.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	1
0	1

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.1s	1391×	body	1280	valid
1.7s	655×	body	2560	valid
933.0ms	1009×	body	640	valid
753.0ms	4095×	body	80	valid
557.0ms	279×	body	160	valid
349.0ms	571×	body	320	valid