Details

sample56.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
19.0ms	260×	body	80	nan

simplify14.0ms

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))

rewrite4.0ms

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:

2.0ms	(/ (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))

series517.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms	(/ (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))
265.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify1.8s

Counts

58 → 58

Iterations

Useful iterations: 4 (861.0ms)

Iter	Nodes	Cost
0	99	1324
1	179	1303
2	409	1133
3	1145	1088
4	3865	1079
done	5000	1079

prune301.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (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))
0.4b	(/ (/ (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))))
0.5b	(fma (log base) (log base) (* 0.0 0.0))

rewrite16.0ms

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:

2.0ms	(/ (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))
7.0ms	(/ (/ (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 base) (log base) (* 0.0 0.0))

series774.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
111.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
235.0ms	(/ (/ (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))))
275.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify1.9s

Counts

175 → 175

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	259	6925
1	536	6630
2	1361	5576
3	3388	5382
done	5001	5382

prune614.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (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))
0.4b	(/ (* 1 (/ (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))))
0.5b	(fma (log base) (log base) (* 0.0 0.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`times-frac` `add-cbrt-cube`
9×	`associate-/r*`
8×	`div-exp`
6×	`sqrt-prod`
5×	`cbrt-undiv`
4×	`pow1` `expm1-log1p-u` `prod-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `1-exp` `clear-num` `cbrt-unprod` `fma-udef` `div-inv`
1×	`associate-*r/` `associate-/l/`

Counts

4 → 83

Calls

4 calls:

2.0ms	(/ (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))
6.0ms	(/ (* 1 (/ (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 base) (log base) (* 0.0 0.0))

series760.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
107.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
233.0ms	(/ (* 1 (/ (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))))
271.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify2.6s

Counts

95 → 95

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	168	2489
1	352	2327
2	1024	1818
3	3556	1769
done	5000	1769

prune410.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize26.0ms

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))) (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)) (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))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

2067×	`times-frac`
1137×	`sqrt-prod`
951×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
85×	`associate-/l*`
72×	`div-inv`
15×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `fma-udef`
1×	`associate-/l/`

Counts

4 → 897

Calls

4 calls:

35.0ms	(/ (/ (/ (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)))))
2.0ms	(/ (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))

series924.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(/ (/ (/ (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)))))
149.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
110.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
410.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify960.0ms

Counts

909 → 909

Iterations

Useful iterations: 1 (610.0ms)

Iter	Nodes	Cost
0	1059	60462
1	2328	55861
done	5000	55861

prune2.6s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes264.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	34
1	20	34
done	20	34

end0.0ms

sample1.5s

Algorithm

intervals

Results

586.0ms	8174×	body	80	nan
558.0ms	8000×	body	80	valid