Details

sample104.0ms

Algorithm

intervals

Results

39.0ms	256×	body	80	valid
30.0ms	245×	body	80	nan

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (7.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot re im)
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))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

0.0ms	(hypot re im)
6.0ms	(/ (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))

series1.4s

Counts

4 → 12

Calls

4 calls:

85.0ms	(hypot re im)
273.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
191.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
838.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify1.3s

Counts

71 → 71

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	111	1384
1	197	1361
2	492	1185
3	1852	1140
done	5001	1135

prune578.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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

rewrite43.0ms

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:

9.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
19.0ms	(/ (/ (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))))
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))

series1.2s

Counts

4 → 12

Calls

4 calls:

213.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
353.0ms	(/ (/ (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))))
183.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
441.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify1.3s

Counts

175 → 175

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	259	6925
1	546	6630
2	2082	5592
done	5001	5387

prune981.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (/ 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))))
0.4b	(/ (hypot (log base) 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))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 386

Calls

4 calls:

36.0ms	(/ (/ 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))))
6.0ms	(/ (hypot (log base) 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))

series1.5s

Counts

4 → 12

Calls

4 calls:

523.0ms	(/ (/ 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))))
544.0ms	(/ (hypot (log base) 0.0) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))
144.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
337.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify1.2s

Counts

398 → 398

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	634	20577
1	1558	18839
done	5000	15863

prune1.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize48.0ms

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

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

2199×	`times-frac`
1179×	`sqrt-prod`
1020×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
95×	`associate-/l*`
79×	`div-inv`
18×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/r*`
9×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `fma-udef` `associate-/l/`

Counts

4 → 982

Calls

4 calls:

23.0ms	(/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (sqrt (hypot (log base) 0.0)))
94.0ms	(/ (/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (sqrt (hypot (log base) 0.0))) (sqrt (sqrt (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))

series1.3s

Counts

4 → 12

Calls

4 calls:

344.0ms	(/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (sqrt (hypot (log base) 0.0)))
351.0ms	(/ (/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (sqrt (hypot (log base) 0.0))) (sqrt (sqrt (fma (log base) (log base) (* 0.0 0.0)))))
161.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
493.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify1.6s

Counts

994 → 994

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	1079	64664
1	2562	59822
done	5000	52071

prune3.9s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes340.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	8000×	body	80	valid
1.5s	7978×	body	80	nan