Details

sample57.0ms

Algorithm

intervals

Results

42.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.9b

localize50.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
32.4b	(sqrt (+ (* re re) (* im im)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
22×	`log-pow`
20×	`pow1`
16×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-pow1` `pow1/2` `associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log`
3×	`sqrt-prod`
2×	`log-div` `flip3-+` `div-sub` `flip-+` `insert-posit16` `add-log-exp`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 65

Calls

2 calls:

25.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
12.0ms	(sqrt (+ (* re re) (* im im)))

series226.0ms

Counts

2 → 6

Calls

2 calls:

178.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
48.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	2006
4	2006
3	1157
2	504
1	229
0	118

prune942.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
32.4b	(sqrt (+ (* re re) (* im im)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
22×	`log-pow`
20×	`pow1`
16×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-pow1` `pow1/2` `associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log`
3×	`sqrt-prod`
2×	`log-div` `flip3-+` `div-sub` `flip-+` `insert-posit16` `add-log-exp`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 65

Calls

2 calls:

28.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
6.0ms	(sqrt (+ (* re re) (* im im)))

series236.0ms

Counts

2 → 6

Calls

2 calls:

193.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
42.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.2s

Counts

71 → 71

Iterations

Iter	Nodes
done	2006
4	2006
3	1157
2	504
1	229
0	118

prune794.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 8.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1/2 (/ (log 10) (log (+ (* re re) (* im im)))))
0.6b	(/ (log 10) (log (+ (* re re) (* im im))))
33.6b	(log (+ (* re re) (* im im)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac`
71×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
46×	`pow1`
43×	`log-pow`
24×	`associate-/r*`
11×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`log-prod` `insert-posit16` `add-log-exp`
2×	`log-div` `clear-num` `frac-2neg`
1×	`flip3-+` `rem-log-exp` `associate-/r/` `flip-+`

Counts

3 → 151

Calls

3 calls:

6.0ms	(/ 1/2 (/ (log 10) (log (+ (* re re) (* im im)))))
6.0ms	(/ (log 10) (log (+ (* re re) (* im im))))
5.0ms	(log (+ (* re re) (* im im)))

series404.0ms

Counts

3 → 9

Calls

3 calls:

201.0ms	(/ 1/2 (/ (log 10) (log (+ (* re re) (* im im)))))
147.0ms	(/ (log 10) (log (+ (* re re) (* im im))))
56.0ms	(log (+ (* re re) (* im im)))

simplify1.3s

Counts

160 → 160

Iterations

Iter	Nodes
done	2000
3	2000
2	1447
1	523
0	212

prune1.9s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (sqrt 1/2) (/ (/ (log 10) (log (+ (* re re) (* im im)))) (sqrt 1/2)))
0.5b	(/ (/ (log 10) (log (+ (* re re) (* im im)))) (sqrt 1/2))
0.6b	(/ (log 10) (log (+ (* re re) (* im im))))
33.6b	(log (+ (* re re) (* im im)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

2504×	`times-frac`
1035×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
858×	`sqrt-prod`
407×	`pow1`
403×	`log-pow`
134×	`associate-/r*`
59×	`div-inv`
30×	`associate-/l*`
21×	`add-exp-log`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
4×	`insert-posit16` `add-log-exp`
3×	`log-prod` `clear-num` `frac-2neg`
2×	`log-div`
1×	`flip3-+` `rem-log-exp` `associate-/r/` `flip-+` `associate-/l/`

Counts

4 → 1106

Calls

4 calls:

13.0ms	(/ (sqrt 1/2) (/ (/ (log 10) (log (+ (* re re) (* im im)))) (sqrt 1/2)))
17.0ms	(/ (/ (log 10) (log (+ (* re re) (* im im)))) (sqrt 1/2))
17.0ms	(/ (log 10) (log (+ (* re re) (* im im))))
11.0ms	(log (+ (* re re) (* im im)))

series1.3s

Counts

4 → 12

Calls

4 calls:

344.0ms	(/ (sqrt 1/2) (/ (/ (log 10) (log (+ (* re re) (* im im)))) (sqrt 1/2)))
271.0ms	(/ (/ (log 10) (log (+ (* re re) (* im im)))) (sqrt 1/2))
645.0ms	(/ (log 10) (log (+ (* re re) (* im im))))
62.0ms	(log (+ (* re re) (* im im)))

simplify1.6s

Counts

1118 → 1118

Iterations

Iter	Nodes
done	2001
1	2001
0	903

prune14.8s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.8b

regimes666.0ms

Accuracy

57.6% (10.2b remaining)

Error of 17.5b against oracle of 7.4b and baseline of 31.3b

bsearch177.0ms

Steps

Iters	Range		Point
7	5.776542735442803e+111	1.3770947299843237e+113	1.1977795536433536e+113
5	3.6388443431761803e-190	1.3275723076839322e-189	5.785268620035206e-190
9	1.639497003581936e-240	1.0895154035376558e-232	4.875955891928815e-233
8	-87.25999490770408	-0.09018726350273112	-86.01993975715544

simplify10.0ms

Iterations

Iter	Nodes
done	51
1	51
0	46

end0.0ms

sample1.1s

Algorithm

intervals

Results

963.0ms

8000×

body

valid