Details

sample127.0ms

Algorithm

intervals

Results

43.0ms	273×	body	80	nan
38.0ms	256×	body	80	valid

simplify56.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	18	28
1	27	21
2	33	21
done	33	21

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 3 expressions with local error:

0.3b	(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)) (fma (log base) (log base) (* 0.0 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:

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

series740.0ms

Counts

3 → 9

Calls

3 calls:

161.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
202.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
377.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify1.0s

Counts

58 → 58

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	99	1324
1	180	1303
2	474	1131
3	1819	1087
done	5001	1083

prune530.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
89×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
42×	`sqrt-prod`
16×	`associate-/l*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r*` `div-inv`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `fma-udef`
1×	`associate-/l/`

Counts

4 → 163

Calls

4 calls:

22.0ms	(/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
16.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
1.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
1.0ms	(fma (log base) (log base) (* 0.0 0.0))

series1.6s

Counts

4 → 12

Calls

4 calls:

342.0ms	(/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
651.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
148.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
417.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify957.0ms

Counts

175 → 175

Iterations

Useful iterations: done (946.0ms)

Iter	Nodes	Cost
0	259	6925
1	546	6630
2	2089	5589
done	5001	5395

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
0.3b	(/ 1 (hypot (log base) 0.0))
0.3b	(* (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (/ 1 (hypot (log base) 0.0)))
0.3b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
43×	`times-frac`
36×	`*-un-lft-identity`
34×	`add-cube-cbrt`
32×	`add-exp-log`
20×	`add-cbrt-cube`
13×	`associate-r` `associate-l`
11×	`div-exp`
8×	`prod-exp`
7×	`pow1`
6×	`cbrt-undiv` `associate-/r` `associate-/l` `unswap-sqr`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 131

Calls

4 calls:

4.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
4.0ms	(/ 1 (hypot (log base) 0.0))
40.0ms	(* (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (/ 1 (hypot (log base) 0.0)))
1.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

187.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
516.0ms	(/ 1 (hypot (log base) 0.0))
297.0ms	(* (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (/ 1 (hypot (log base) 0.0)))
172.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

simplify1.7s

Counts

143 → 143

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	186	3267
1	463	3084
2	2971	2690
done	5000	2689

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 1 (/ (hypot (log base) 0.0) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
0.3b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
0.4b	(/ (hypot (log base) 0.0) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))
0.6b	(fma (log base) (log base) (* 0.0 0.0))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

735×	`times-frac`
347×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
135×	`sqrt-prod`
47×	`associate-/l*`
30×	`div-inv`
25×	`add-exp-log`
15×	`add-cbrt-cube` `div-exp`
9×	`associate-/r*`
7×	`cbrt-undiv` `associate-/r/`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `fma-udef`
1×	`associate-/l/`

Counts

4 → 386

Calls

4 calls:

41.0ms	(/ (/ 1 (/ (hypot (log base) 0.0) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
1.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
7.0ms	(/ (hypot (log base) 0.0) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))

series1.9s

Counts

4 → 12

Calls

4 calls:

693.0ms	(/ (/ 1 (/ (hypot (log base) 0.0) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
158.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
596.0ms	(/ (hypot (log base) 0.0) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))
416.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify925.0ms

Counts

398 → 398

Iterations

Useful iterations: done (899.0ms)

Iter	Nodes	Cost
0	634	20577
1	1560	18839
done	5000	15893

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes427.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	29
1	21	29
done	21	29

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.9s	8160×	body	80	nan
1.4s	8000×	body	80	valid