Details

sample1.2s

Algorithm

intervals

Results

915.0ms	264×	body	10240	exit
149.0ms	503×	body	80	nan
107.0ms	256×	body	80	valid

simplify37.4s

Counts

1 → 1

Iterations

Iter	Nodes
9	12708
8	1233
7	451
6	182
5	72
4	67
3	47
2	32
1	26
0	18

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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)
15.0ms	(/ (log (hypot re im)) (log base))

series287.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(hypot re im)
205.0ms	(/ (log (hypot re im)) (log base))

simplify4.0s

Counts

56 → 56

Iterations

Iter	Nodes
5	5002
4	1817
3	648
2	303
1	140
0	85

prune753.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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)))

rewrite27.0ms

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)
11.0ms	(/ 1 (/ (log base) (log (hypot re im))))
14.0ms	(/ (log base) (log (hypot re im)))

series503.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(hypot re im)
211.0ms	(/ 1 (/ (log base) (log (hypot re im))))
232.0ms	(/ (log base) (log (hypot re im)))

simplify1.1s

Counts

166 → 166

Iterations

Iter	Nodes
3	2507
2	952
1	412
0	189

prune1.9s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

688×	`times-frac`
294×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
116×	`pow1`
110×	`log-pow`
52×	`add-exp-log`
37×	`div-inv`
36×	`div-exp`
24×	`associate-/r*`
22×	`associate-/l*`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-flip` `inv-pow`
1×	`hypot-udef` `associate-/r/` `associate-/l/`

Counts

4 → 410

Calls

4 calls:

0.0ms	(hypot re im)
9.0ms	(/ 1 (log (hypot re im)))
10.0ms	(/ 1 (log base))
29.0ms	(/ (/ 1 (log base)) (/ 1 (log (hypot re im))))

series664.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(hypot re im)
122.0ms	(/ 1 (log (hypot re im)))
287.0ms	(/ 1 (log base))
185.0ms	(/ (/ 1 (log base)) (/ 1 (log (hypot re im))))

simplify853.0ms

Counts

422 → 422

Iterations

Iter	Nodes
2	2224
1	1207
0	435

prune4.6s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (/ 1 (* (log base) (log base))) (log base))
0.6b	(* (log base) (log base))
0.6b	(* (log (hypot re im)) (log (hypot re im)))
0.6b	(cbrt (* (* (/ (/ 1 (* (log base) (log base))) (log base)) (log (hypot re im))) (* (log (hypot re im)) (log (hypot re im)))))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
43×	`times-frac`
38×	`add-sqr-sqrt` `*-un-lft-identity`
34×	`add-cube-cbrt`
27×	`add-exp-log`
20×	`log-pow`
17×	`add-cbrt-cube`
12×	`log-prod` `swap-sqr`
11×	`div-exp`
8×	`associate-r` `associate-l`
7×	`associate-/l*`
6×	`distribute-rgt-in` `distribute-lft-in` `div-inv`
5×	`cbrt-undiv` `prod-exp`
4×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `log1p-expm1-u` `pow-flip` `add-log-exp` `pow-div`
3×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up` `cbrt-unprod`
2×	`rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`
1×	`cbrt-prod` `cbrt-div` `clear-num` `frac-2neg` `pow1/3` `associate-/l/`

Counts

4 → 158

Calls

4 calls:

21.0ms	(/ (/ 1 (* (log base) (log base))) (log base))
8.0ms	(* (log base) (log base))
8.0ms	(* (log (hypot re im)) (log (hypot re im)))
136.0ms	(cbrt (* (* (/ (/ 1 (* (log base) (log base))) (log base)) (log (hypot re im))) (* (log (hypot re im)) (log (hypot re im)))))

series856.0ms

Counts

4 → 12

Calls

4 calls:

308.0ms	(/ (/ 1 (* (log base) (log base))) (log base))
217.0ms	(* (log base) (log base))
127.0ms	(* (log (hypot re im)) (log (hypot re im)))
204.0ms	(cbrt (* (* (/ (/ 1 (* (log base) (log base))) (log base)) (log (hypot re im))) (* (log (hypot re im)) (log (hypot re im)))))

simplify2.4s

Counts

170 → 170

Iterations

Iter	Nodes
3	4909
2	1363
1	529
0	230

prune2.4s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0b

regimes836.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	11
1	11
0	9

end0.0ms

sample37.6s

Algorithm

intervals

Results

28.2s	8019×	body	10240	exit
5.5s	16089×	body	80	nan
2.7s	8000×	body	80	valid