Details

sample461.0ms

Algorithm

intervals

Results

207.0ms	85×	body	1280	valid
68.0ms	254×	body	80	valid
53.0ms	46×	body	640	valid
11.0ms	14×	body	320	valid
4.0ms	2×	body	2560	valid
2.0ms	5×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
6	5780
5	821
4	208
3	95
2	62
1	35
0	19

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y.re (log (hypot x.re x.im)))
1.5b	(* (atan2 x.im x.re) y.re)
2.3b	(* (atan2 x.im x.re) y.im)
34.1b	(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:

14.0ms	(* y.re (log (hypot x.re x.im)))
22.0ms	(* (atan2 x.im x.re) y.re)
11.0ms	(* (atan2 x.im x.re) y.im)
9.0ms	(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* y.re (log (hypot x.re x.im)))
17.0ms	(* (atan2 x.im x.re) y.re)
24.0ms	(* (atan2 x.im x.re) y.im)
188.0ms	(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

simplify2.6s

Counts

93 → 93

Iterations

Iter	Nodes
5	3262
4	1626
3	898
2	525
1	256
0	142

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.5b

localize95.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (* (atan2 x.im x.re) y.im))
6.7b	(cbrt (* (atan2 x.im x.re) y.im))
6.7b	(cbrt (* (atan2 x.im x.re) y.im))
34.1b	(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

rewrite24.0ms

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×	`cbrt-prod` `pow1/3`
1×	`sin-sum` `fma-udef`

Counts

4 → 47

Calls

4 calls:

6.0ms	(cbrt (* (atan2 x.im x.re) y.im))
6.0ms	(cbrt (* (atan2 x.im x.re) y.im))
6.0ms	(cbrt (* (atan2 x.im x.re) y.im))
5.0ms	(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(cbrt (* (atan2 x.im x.re) y.im))
62.0ms	(cbrt (* (atan2 x.im x.re) y.im))
60.0ms	(cbrt (* (atan2 x.im x.re) y.im))
158.0ms	(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

simplify3.0s

Counts

59 → 59

Iterations

Iter	Nodes
6	4241
5	1390
4	538
3	311
2	190
1	122
0	74

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.5b

localize132.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (* (atan2 x.im x.re) y.im))
6.7b	(cbrt (* (atan2 x.im x.re) y.im))
6.7b	(cbrt (* (atan2 x.im x.re) y.im))
34.1b	(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

rewrite24.0ms

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×	`cbrt-prod` `pow1/3`
1×	`sin-sum` `fma-udef`

Counts

4 → 47

Calls

4 calls:

6.0ms	(cbrt (* (atan2 x.im x.re) y.im))
6.0ms	(cbrt (* (atan2 x.im x.re) y.im))
6.0ms	(cbrt (* (atan2 x.im x.re) y.im))
5.0ms	(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (* (atan2 x.im x.re) y.im))
90.0ms	(cbrt (* (atan2 x.im x.re) y.im))
84.0ms	(cbrt (* (atan2 x.im x.re) y.im))
144.0ms	(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

simplify2.9s

Counts

59 → 59

Iterations

Iter	Nodes
6	4241
5	1390
4	538
3	311
2	190
1	122
0	74

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.5b

localize109.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (* (atan2 x.im x.re) y.im))
6.7b	(cbrt (* (atan2 x.im x.re) y.im))
6.7b	(cbrt (* (atan2 x.im x.re) y.im))
34.1b	(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

rewrite16.0ms

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×	`cbrt-prod` `pow1/3`
1×	`sin-sum` `fma-udef`

Counts

4 → 47

Calls

4 calls:

3.0ms	(cbrt (* (atan2 x.im x.re) y.im))
8.0ms	(cbrt (* (atan2 x.im x.re) y.im))
3.0ms	(cbrt (* (atan2 x.im x.re) y.im))
2.0ms	(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (* (atan2 x.im x.re) y.im))
80.0ms	(cbrt (* (atan2 x.im x.re) y.im))
85.0ms	(cbrt (* (atan2 x.im x.re) y.im))
115.0ms	(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

simplify3.1s

Counts

59 → 59

Iterations

Iter	Nodes
6	4241
5	1390
4	538
3	311
2	190
1	122
0	74

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.5b

regimes458.0ms

Accuracy

0% (0.1b remaining)

Error of 3.7b against oracle of 3.6b and baseline of 3.7b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
2	31
1	31
0	23

end0.0ms

sample11.5s

Algorithm

intervals

Results

4.7s	2234×	body	1280	valid
3.0s	1395×	body	640	valid
2.6s	7947×	body	80	valid
528.0ms	558×	body	320	valid
194.0ms	42×	body	2560	valid
125.0ms	223×	body	160	valid