Details

sample650.0ms

Algorithm

intervals

Results

330.0ms	81×	body	1280	valid
93.0ms	259×	body	80	valid
64.0ms	39×	body	640	valid
42.0ms	2×	body	2560	valid
19.0ms	16×	body	320	valid
6.0ms	8×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2030
6	2030
5	823
4	210
3	95
2	62
1	35
0	19

prune47.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.8b

localize73.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y.re (log (hypot x.re x.im)))
1.4b	(* (atan2 x.im x.re) y.re)
1.7b	(* (atan2 x.im x.re) y.im)
33.4b	(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
10×	`add-cbrt-cube` `associate-r` `add-exp-log`
9×	`associate-l`
6×	`log-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sin-sum` `log-pow` `fma-udef`

Counts

4 → 81

Calls

4 calls:

24.0ms	(* y.re (log (hypot x.re x.im)))
12.0ms	(* (atan2 x.im x.re) y.re)
12.0ms	(* (atan2 x.im x.re) y.im)
7.0ms	(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* y.re (log (hypot x.re x.im)))
24.0ms	(* (atan2 x.im x.re) y.re)
24.0ms	(* (atan2 x.im x.re) y.im)
174.0ms	(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	2002
4	2002
3	1505
2	616
1	270
0	142

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.7b

localize64.0ms

Local error

Found 4 expressions with local error:

18.8b	(cos (* (atan2 x.im x.re) y.re))
19.1b	(sin (* (atan2 x.im x.re) y.re))
24.0b	(sin (* y.im (log (hypot x.re x.im))))
24.1b	(cos (* y.im (log (hypot x.re x.im))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`distribute-rgt-in` `cos-sum` `distribute-lft-in` `sin-sum`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

8.0ms	(cos (* (atan2 x.im x.re) y.re))
8.0ms	(sin (* (atan2 x.im x.re) y.re))
12.0ms	(sin (* y.im (log (hypot x.re x.im))))
21.0ms	(cos (* y.im (log (hypot x.re x.im))))

series382.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(cos (* (atan2 x.im x.re) y.re))
60.0ms	(sin (* (atan2 x.im x.re) y.re))
116.0ms	(sin (* y.im (log (hypot x.re x.im))))
158.0ms	(cos (* y.im (log (hypot x.re x.im))))

simplify1.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	2030
5	2030
4	1441
3	559
2	280
1	188
0	134

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.6b

localize123.0ms

Local error

Found 4 expressions with local error:

18.8b	(cos (* (atan2 x.im x.re) y.re))
19.1b	(sin (* (atan2 x.im x.re) y.re))
24.0b	(sin (* y.im (log (hypot x.re x.im))))
24.1b	(cos (* y.im (log (hypot x.re x.im))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`distribute-rgt-in` `cos-sum` `distribute-lft-in` `sin-sum`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

16.0ms	(cos (* (atan2 x.im x.re) y.re))
22.0ms	(sin (* (atan2 x.im x.re) y.re))
18.0ms	(sin (* y.im (log (hypot x.re x.im))))
19.0ms	(cos (* y.im (log (hypot x.re x.im))))

series435.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(cos (* (atan2 x.im x.re) y.re))
66.0ms	(sin (* (atan2 x.im x.re) y.re))
171.0ms	(sin (* y.im (log (hypot x.re x.im))))
145.0ms	(cos (* y.im (log (hypot x.re x.im))))

simplify1.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	2030
5	2030
4	1441
3	559
2	280
1	188
0	134

prune1.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.6b

localize200.0ms

Local error

Found 4 expressions with local error:

24.1b	(cos (* y.im (log (hypot x.re x.im))))
24.1b	(cos (* y.im (log (cbrt (hypot x.re x.im)))))
24.4b	(cos (* y.im (log (* (cbrt (hypot x.re x.im)) (cbrt (hypot x.re x.im))))))
24.6b	(sin (* y.im (log (cbrt (hypot x.re x.im)))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

32×	`log-prod`
20×	`cos-sum`
16×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`cbrt-prod` `sin-sum`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 72

Calls

4 calls:

19.0ms	(cos (* y.im (log (hypot x.re x.im))))
20.0ms	(cos (* y.im (log (cbrt (hypot x.re x.im)))))
10.0ms	(cos (* y.im (log (* (cbrt (hypot x.re x.im)) (cbrt (hypot x.re x.im))))))
11.0ms	(sin (* y.im (log (cbrt (hypot x.re x.im)))))

series742.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cos (* y.im (log (hypot x.re x.im))))
209.0ms	(cos (* y.im (log (cbrt (hypot x.re x.im)))))
179.0ms	(cos (* y.im (log (* (cbrt (hypot x.re x.im)) (cbrt (hypot x.re x.im))))))
188.0ms	(sin (* y.im (log (cbrt (hypot x.re x.im)))))

simplify1.5s

Counts

84 → 84

Iterations

Iter	Nodes
done	2000
4	2000
3	1715
2	641
1	372
0	247

prune2.7s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.5b

regimes863.0ms

Accuracy

0% (0.3b remaining)

Error of 3.5b against oracle of 3.2b and baseline of 3.5b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	31
1	31
0	23

end0.0ms

sample11.9s

Algorithm

intervals

Results

5.5s	2254×	body	1280	valid
2.7s	7983×	body	80	valid
2.0s	1375×	body	640	valid
937.0ms	545×	body	320	valid
229.0ms	52×	body	2560	valid
125.0ms	223×	body	160	valid