Details

sample132.0ms

Algorithm

intervals

Results

48.0ms	268×	body	80	nan
44.0ms	256×	body	80	valid

simplify75.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	32
2	32
1	27
0	18

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize51.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`pow1`
12×	`log-prod`
9×	`add-exp-log` `times-frac` `add-cbrt-cube`
8×	`associate-r` `associate-l` `log-pow`
6×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr`
3×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-exp` `clear-num` `pow-sqr` `pow-prod-up` `div-inv`

Counts

3 → 95

Calls

3 calls:

18.0ms	(/ (fma (atan2 im re) 0.0 (* (log base) (log (hypot re im)))) (fma 0.0 0.0 (* (log base) (log base))))
13.0ms	(* (log base) (log (hypot re im)))
20.0ms	(* (log base) (log base))

series885.0ms

Counts

3 → 9

Calls

3 calls:

309.0ms	(/ (fma (atan2 im re) 0.0 (* (log base) (log (hypot re im)))) (fma 0.0 0.0 (* (log base) (log base))))
244.0ms	(* (log base) (log (hypot re im)))
331.0ms	(* (log base) (log base))

simplify3.6s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
3	2006
2	789
1	331
0	166

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`add-cube-cbrt`
34×	`pow1`
18×	`log-prod` `times-frac`
14×	`log-pow`
12×	`add-exp-log` `swap-sqr` `associate-r` `associate-l` `sqrt-prod` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l` `unswap-sqr`
2×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 145

Calls

4 calls:

26.0ms	(/ (fma (atan2 im re) 0.0 (* (log base) (log (hypot re im)))) (sqrt (fma 0.0 0.0 (* (log base) (log base)))))
22.0ms	(* (log base) (log (hypot re im)))
21.0ms	(* (log base) (log base))
22.0ms	(* (log base) (log base))

series1.1s

Counts

4 → 12

Calls

4 calls:

273.0ms	(/ (fma (atan2 im re) 0.0 (* (log base) (log (hypot re im)))) (sqrt (fma 0.0 0.0 (* (log base) (log base)))))
245.0ms	(* (log base) (log (hypot re im)))
282.0ms	(* (log base) (log base))
298.0ms	(* (log base) (log base))

simplify3.7s

Counts

157 → 157

Iterations

Iter	Nodes
done	5001
3	2059
2	837
1	352
0	181

prune1.8s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize113.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (log base) (log base))
0.6b	(* (log base) (log base))
0.6b	(* (log base) (log base))
0.6b	(* (log base) (log base))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

56×	`pow1`
36×	`add-sqr-sqrt` `*-un-lft-identity`
28×	`add-cube-cbrt`
24×	`log-prod` `swap-sqr` `log-pow`
16×	`associate-r` `associate-l`
12×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
4×	`pow2` `expm1-log1p-u` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 152

Calls

4 calls:

21.0ms	(* (log base) (log base))
21.0ms	(* (log base) (log base))
34.0ms	(* (log base) (log base))
23.0ms	(* (log base) (log base))

series1.3s

Counts

4 → 12

Calls

4 calls:

329.0ms	(* (log base) (log base))
341.0ms	(* (log base) (log base))
311.0ms	(* (log base) (log base))
360.0ms	(* (log base) (log base))

simplify4.3s

Counts

164 → 164

Iterations

Iter	Nodes
done	5002
4	1640
3	618
2	321
1	135
0	56

prune1.7s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
30×	`add-cube-cbrt`
24×	`pow1`
21×	`add-exp-log` `associate-r`
20×	`times-frac`
15×	`add-cbrt-cube`
12×	`log-prod`
11×	`associate-l`
8×	`log-pow`
6×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr` `prod-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `div-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `1-exp` `div-inv`
1×	`pow2` `pow-flip` `frac-2neg` `pow-plus` `associate-*r/` `clear-num` `pow-sqr` `un-div-inv` `pow-prod-up` `inv-pow`

Counts

4 → 137

Calls

4 calls:

21.0ms	(/ 1 (fma 0.0 0.0 (* (log base) (log base))))
31.0ms	(* (fma (atan2 im re) 0.0 (* (log base) (log (hypot re im)))) (/ 1 (fma 0.0 0.0 (* (log base) (log base)))))
16.0ms	(* (log base) (log (hypot re im)))
21.0ms	(* (log base) (log base))

series1.4s

Counts

4 → 12

Calls

4 calls:

435.0ms	(/ 1 (fma 0.0 0.0 (* (log base) (log base))))
328.0ms	(* (fma (atan2 im re) 0.0 (* (log base) (log (hypot re im)))) (/ 1 (fma 0.0 0.0 (* (log base) (log base)))))
262.0ms	(* (log base) (log (hypot re im)))
337.0ms	(* (log base) (log base))

simplify5.7s

Counts

149 → 149

Iterations

Iter	Nodes
done	5011
3	3232
2	1222
1	462
0	210

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes871.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
1	16
0	15

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.5s	8060×	body	80	nan
1.9s	8000×	body	80	valid