Details

sample152.0ms

Algorithm

intervals

Results

78.0ms	256×	body	80	valid
52.0ms	245×	body	80	nan

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2068
8	2068
7	666
6	215
5	80
4	75
3	51
2	36
1	26
0	18

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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)
7.0ms	(/ (log (hypot re im)) (log base))

series200.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(hypot re im)
127.0ms	(/ (log (hypot re im)) (log base))

simplify1.4s

Counts

56 → 56

Iterations

Iter	Nodes
done	2010
5	2010
4	1929
3	662
2	305
1	140
0	85

prune574.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
88×	`log-pow`
68×	`times-frac`
48×	`sqrt-pow1` `pow1/2`
47×	`add-sqr-sqrt`
35×	`*-un-lft-identity` `add-cube-cbrt`
30×	`pow-prod-up`
18×	`pow-prod-down` `pow-sqr` `sqrt-prod`
17×	`associate-/l*`
8×	`add-cbrt-cube` `swap-sqr` `add-exp-log`
6×	`pow2` `pow-plus` `associate-r` `associate-l`
4×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`hypot-udef`
1×	`cbrt-undiv` `clear-num` `rem-square-sqrt` `frac-2neg` `sqrt-unprod` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 178

Calls

4 calls:

0.0ms	(hypot re im)
0.0ms	(hypot re im)
43.0ms	(/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base))
9.0ms	(* (sqrt (hypot re im)) (sqrt (hypot re im)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(hypot re im)
49.0ms	(hypot re im)
134.0ms	(/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base))
65.0ms	(* (sqrt (hypot re im)) (sqrt (hypot re im)))

simplify1.0s

Counts

190 → 190

Iterations

Iter	Nodes
done	2000
4	2000
3	1438
2	588
1	326
0	177

prune2.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (hypot re im)))
0.6b	(cbrt (sqrt (hypot re im)))
0.6b	(cbrt (sqrt (hypot re im)))
0.6b	(cbrt (sqrt (hypot re im)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

2.0ms	(cbrt (sqrt (hypot re im)))
3.0ms	(cbrt (sqrt (hypot re im)))
2.0ms	(cbrt (sqrt (hypot re im)))
2.0ms	(cbrt (sqrt (hypot re im)))

series653.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt (sqrt (hypot re im)))
141.0ms	(cbrt (sqrt (hypot re im)))
148.0ms	(cbrt (sqrt (hypot re im)))
177.0ms	(cbrt (sqrt (hypot re im)))

simplify897.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	2012
5	2012
4	1398
3	434
2	160
1	75
0	46

prune906.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (hypot re im)))
0.6b	(cbrt (sqrt (hypot re im)))
0.6b	(cbrt (sqrt (hypot re im)))
4.2b	(pow (sqrt (hypot re im)) 1/3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`sqrt-prod`
6×	`pow1` `unpow-prod-down`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-pow` `pow1/3`
1×	`pow-to-exp` `sqrt-pow1` `pow1/2` `unpow1/3` `pow-exp` `sqrt-pow2` `sqr-pow`

Counts

4 → 78

Calls

4 calls:

2.0ms	(cbrt (sqrt (hypot re im)))
2.0ms	(cbrt (sqrt (hypot re im)))
2.0ms	(cbrt (sqrt (hypot re im)))
5.0ms	(pow (sqrt (hypot re im)) 1/3)

series950.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (sqrt (hypot re im)))
412.0ms	(cbrt (sqrt (hypot re im)))
160.0ms	(cbrt (sqrt (hypot re im)))
217.0ms	(pow (sqrt (hypot re im)) 1/3)

simplify929.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	2003
3	2003
2	673
1	239
0	99

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes350.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	20
1	20
0	18

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.3s	8000×	body	80	valid
2.0s	7955×	body	80	nan