Details

sample97.0ms

Algorithm

intervals

Results

35.0ms	254×	body	80	nan
34.0ms	256×	body	80	valid

simplify26.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	18	724
1	27	569
2	33	569
done	33	569

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize47.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
0.4b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
0.6b	(fma (log base) (log base) (* 0.0 0.0))

rewrite6.0ms

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×	`fma-udef`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 49

Calls

3 calls:

4.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
0.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))

series755.0ms

Counts

3 → 9

Calls

3 calls:

225.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
120.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
410.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify1.6s

Counts

58 → 58

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	99	32923
1	180	31925
2	473	31020
3	1796	30911
done	5001	30790

prune565.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
0.4b	(/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (sqrt (fma (log base) (log base) (* 0.0 0.0)))) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
0.6b	(fma (log base) (log base) (* 0.0 0.0))
0.6b	(fma (log base) (log base) (* 0.0 0.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

258×	`times-frac`
141×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
132×	`sqrt-prod`
22×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
8×	`div-inv`
6×	`associate-/r*`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `fma-udef`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 207

Calls

4 calls:

0.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
16.0ms	(/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (sqrt (fma (log base) (log base) (* 0.0 0.0)))) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

159.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
180.0ms	(/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (sqrt (fma (log base) (log base) (* 0.0 0.0)))) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
396.0ms	(fma (log base) (log base) (* 0.0 0.0))
473.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify2.5s

Counts

219 → 219

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	288	232056
1	656	221500
2	3090	203489
done	5002	203399

prune1.5s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.4b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
0.4b	(* (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (sqrt (fma (log base) (log base) (* 0.0 0.0)))) (/ 1 (sqrt (fma (log base) (log base) (* 0.0 0.0)))))
0.6b	(fma (log base) (log base) (* 0.0 0.0))
0.6b	(fma (log base) (log base) (* 0.0 0.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
58×	`times-frac`
36×	`*-un-lft-identity`
30×	`add-cube-cbrt`
29×	`sqrt-prod`
26×	`add-exp-log`
22×	`associate-r` `associate-l`
16×	`add-cbrt-cube`
15×	`unswap-sqr`
8×	`div-exp` `prod-exp`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef`
2×	`rec-exp` `1-exp` `div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative`

Counts

4 → 116

Calls

4 calls:

0.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
43.0ms	(* (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (sqrt (fma (log base) (log base) (* 0.0 0.0)))) (/ 1 (sqrt (fma (log base) (log base) (* 0.0 0.0)))))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))
1.0ms	(fma (log base) (log base) (* 0.0 0.0))

series1.4s

Counts

4 → 12

Calls

4 calls:

165.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
186.0ms	(* (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (sqrt (fma (log base) (log base) (* 0.0 0.0)))) (/ 1 (sqrt (fma (log base) (log base) (* 0.0 0.0)))))
393.0ms	(fma (log base) (log base) (* 0.0 0.0))
662.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify5.0s

Counts

128 → 128

Iterations

Useful iterations: done (4.9s)

Iter	Nodes	Cost
0	184	91452
1	497	85437
2	3407	75705
done	5000	75221

prune969.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
0.4b	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
0.6b	(fma (log base) (log base) (* 0.0 0.0))

rewrite9.0ms

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×	`fma-udef`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 49

Calls

3 calls:

6.0ms	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
0.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
1.0ms	(fma (log base) (log base) (* 0.0 0.0))

series940.0ms

Counts

3 → 9

Calls

3 calls:

405.0ms	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
158.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
377.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify1.4s

Counts

58 → 58

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	97	33544
1	175	32166
2	467	31196
3	1817	31196
done	5000	31116

prune342.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0b

regimes532.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	649
1	16	649
done	16	649

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.6s	8000×	body	80	valid
1.2s	7946×	body	80	nan