Details

sample150.0ms

Algorithm

intervals

Results

76.0ms	265×	body	80	nan
51.0ms	256×	body	80	valid

simplify5.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5529
8	3678
7	666
6	215
5	80
4	75
3	51
2	36
1	26
0	18

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(hypot re im)
0.4b	(/ (log (hypot re im)) (log base))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

16×	`times-frac`
12×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
10×	`log-pow`
4×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `hypot-udef` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 50

Calls

2 calls:

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

series182.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(hypot re im)
127.0ms	(/ (log (hypot re im)) (log base))

simplify3.0s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
4	1929
3	662
2	305
1	140
0	85

prune224.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac`
70×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
46×	`pow1`
42×	`log-pow`
24×	`associate-/r*`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`hypot-udef` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 157

Calls

3 calls:

0.0ms	(hypot re im)
7.0ms	(/ 1 (/ (log base) (log (hypot re im))))
6.0ms	(/ (log base) (log (hypot re im)))

series414.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(hypot re im)
161.0ms	(/ 1 (/ (log base) (log (hypot re im))))
187.0ms	(/ (log base) (log (hypot re im)))

simplify1.7s

Counts

166 → 166

Iterations

Iter	Nodes
done	5008
3	2584
2	879
1	416
0	189

prune426.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`times-frac`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
16×	`associate-r` `add-exp-log`
14×	`pow1`
10×	`add-cbrt-cube`
8×	`log-pow`
4×	`associate-/r` `div-exp` `associate-l*` `prod-exp`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`hypot-udef` `clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 92

Calls

3 calls:

0.0ms	(hypot re im)
5.0ms	(/ 1 (log base))
11.0ms	(* (log (hypot re im)) (/ 1 (log base)))

series410.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(hypot re im)
216.0ms	(/ 1 (log base))
132.0ms	(* (log (hypot re im)) (/ 1 (log base)))

simplify2.7s

Counts

101 → 101

Iterations

Iter	Nodes
done	5009
4	3120
3	1330
2	713
1	253
0	125

prune357.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (log (hypot re im)) (log base))
0.4b	(/ (log (hypot re im)) (log base))
0.4b	(* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))
0.6b	(cbrt (* (/ (log (hypot re im)) (log base)) (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac`
95×	`pow1`
92×	`*-un-lft-identity`
84×	`log-pow`
80×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
40×	`swap-sqr`
20×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
8×	`associate-/r` `associate-/l`
7×	`cbrt-div`
6×	`frac-times` `cbrt-undiv` `div-exp` `associate-*r/` `div-inv`
4×	`expm1-log1p-u` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg`
1×	`cbrt-prod` `pow2` `pow-plus` `pow1/3` `cube-unmult` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube`

Counts

4 → 209

Calls

4 calls:

6.0ms	(/ (log (hypot re im)) (log base))
6.0ms	(/ (log (hypot re im)) (log base))
16.0ms	(* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))
21.0ms	(cbrt (* (/ (log (hypot re im)) (log base)) (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))))

series565.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(/ (log (hypot re im)) (log base))
125.0ms	(/ (log (hypot re im)) (log base))
166.0ms	(* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))
124.0ms	(cbrt (* (/ (log (hypot re im)) (log base)) (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))))

simplify2.5s

Counts

221 → 221

Iterations

Iter	Nodes
done	5106
3	4333
2	1564
1	523
0	178

prune739.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes429.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.5s	7972×	body	80	nan
1.8s	8000×	body	80	valid