Details

sample75.0ms

Algorithm

intervals

Results

27.0ms	256×	body	80	valid
25.0ms	273×	body	80	nan

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	18	724
1	27	569
2	32	569
done	32	569

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot re im)
0.4b	(/ (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))
0.5b	(fma (log base) (log base) (* 0.0 0.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

0.0ms	(hypot re im)
7.0ms	(/ (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))
1.0ms	(fma (log base) (log base) (* 0.0 0.0))

series814.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(hypot re im)
197.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
128.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
420.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify4.8s

Counts

71 → 71

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	111	34262
1	197	33238
2	445	32348
3	1198	32224
4	3987	32103
done	5000	32078

prune691.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
0.4b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
0.5b	(fma (log base) (log base) (* 0.0 0.0))
0.5b	(fma (log base) (log base) (* 0.0 0.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

5.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (sqrt (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))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))

series1.3s

Counts

4 → 12

Calls

4 calls:

226.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
136.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
416.0ms	(fma (log base) (log base) (* 0.0 0.0))
502.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify4.2s

Counts

83 → 83

Iterations

Useful iterations: 3 (574.0ms)

Iter	Nodes	Cost
0	116	50540
1	202	48335
2	467	44195
3	1324	44085
4	4409	44085
done	5000	44085

prune826.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
0.4b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
0.5b	(fma (log base) (log base) (* 0.0 0.0))
0.5b	(fma (log base) (log base) (* 0.0 0.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

9.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (sqrt (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))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))

series1.5s

Counts

4 → 12

Calls

4 calls:

197.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
118.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
815.0ms	(fma (log base) (log base) (* 0.0 0.0))
377.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify3.9s

Counts

83 → 83

Iterations

Useful iterations: 3 (595.0ms)

Iter	Nodes	Cost
0	116	50540
1	202	48335
2	467	44195
3	1324	44085
4	4409	44085
done	5000	44085

prune910.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (fma (log base) (log base) (* 0.0 0.0)) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))))
0.4b	(/ (fma (log base) (log base) (* 0.0 0.0)) (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))
0.5b	(fma (log base) (log base) (* 0.0 0.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `fma-udef`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 127

Calls

4 calls:

8.0ms	(/ 1 (/ (fma (log base) (log base) (* 0.0 0.0)) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))))
4.0ms	(/ (fma (log base) (log base) (* 0.0 0.0)) (fma (log (hypot re im)) (log base) (* (atan2 im re) 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))

series1.6s

Counts

4 → 12

Calls

4 calls:

447.0ms	(/ 1 (/ (fma (log base) (log base) (* 0.0 0.0)) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))))
508.0ms	(/ (fma (log base) (log base) (* 0.0 0.0)) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))
167.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
446.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify3.6s

Counts

139 → 139

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	199	107499
1	434	99370
2	975	95602
3	3121	94118
done	5009	94118

prune819.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

regimes606.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	690
1	22	690
done	22	690

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.7s	8000×	body	80	valid
1.3s	7971×	body	80	nan