Details

sample82.0ms

Algorithm

intervals

Results

25.0ms	250×	body	80	nan
25.0ms	256×	body	80	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

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))
0.5b	(fma (log base) (log base) (* 0.0 0.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

5.0ms	(/ (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))

series523.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
108.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
262.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify2.5s

Counts

58 → 58

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	99	1324
1	179	1303
2	410	1133
3	1234	1088
4	4997	1079
done	5000	1079

prune284.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 163

Calls

4 calls:

13.0ms	(/ (/ (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))))
5.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 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))

series807.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(/ (/ (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))))
163.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
112.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
272.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify1.6s

Counts

175 → 175

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	259	6925
1	533	6630
2	1105	5576
3	2987	5382
done	5001	5253

prune686.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 163

Calls

4 calls:

16.0ms	(/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot 0.0 (log base))) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
5.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot 0.0 (log base)))
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))

series969.0ms

Counts

4 → 12

Calls

4 calls:

409.0ms	(/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot 0.0 (log base))) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
167.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot 0.0 (log base)))
114.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
279.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify1.5s

Counts

175 → 175

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	259	6925
1	533	6630
2	1229	5607
3	2959	5496
done	5001	5379

prune638.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `fma-udef` `inv-pow`

Counts

4 → 130

Calls

4 calls:

5.0ms	(/ 1 (hypot 0.0 (log base)))
24.0ms	(* (/ 1 (hypot 0.0 (log base))) (/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (hypot 0.0 (log base))))
5.0ms	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (hypot 0.0 (log base)))
0.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

369.0ms	(/ 1 (hypot 0.0 (log base)))
376.0ms	(* (/ 1 (hypot 0.0 (log base))) (/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (hypot 0.0 (log base))))
350.0ms	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (hypot 0.0 (log base)))
148.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))

simplify2.6s

Counts

142 → 142

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	184	3337
1	415	3136
2	1227	2762
3	4190	2747
done	5000	2707

prune434.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes287.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	17	27
done	17	27

end0.0ms

sample1.6s

Algorithm

intervals

Results

538.0ms	8023×	body	80	nan
531.0ms	8000×	body	80	valid