Details

sample67.0ms

Algorithm

intervals

Results

50.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.2b

localize39.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
29.8b	(sqrt (+ (* re re) (* im im)))

rewrite66.0ms

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:

52.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
12.0ms	(sqrt (+ (* re re) (* im im)))

series317.0ms

Counts

2 → 6

Calls

2 calls:

248.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
69.0ms	(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

prune401.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.9b

localize48.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
0.4b	(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
30.9b	(log (+ (* re re) (* im im)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

89×	`times-frac`
82×	`add-sqr-sqrt`
54×	`sqrt-prod`
52×	`*-un-lft-identity` `add-cube-cbrt`
33×	`pow1`
32×	`associate-r`
28×	`log-pow`
25×	`associate-l`
18×	`add-exp-log`
17×	`add-cbrt-cube`
9×	`unswap-sqr`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`log-div` `prod-exp` `cbrt-unprod` `associate-/l*`
3×	`log-prod` `insert-posit16` `div-inv` `add-log-exp`
2×	`flip3-+` `div-sub` `flip-+`
1×	`frac-times` `clear-num` `frac-2neg` `rem-log-exp` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 156

Calls

3 calls:

42.0ms	(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
41.0ms	(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
12.0ms	(log (+ (* re re) (* im im)))

series547.0ms

Counts

3 → 9

Calls

3 calls:

180.0ms	(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
286.0ms	(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
82.0ms	(log (+ (* re re) (* im im)))

simplify1.7s

Counts

165 → 165

Iterations

Iter	Nodes
done	2004
3	2004
2	1723
1	551
0	208

prune866.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.7b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
0.4b	(* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
0.4b	(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
30.9b	(log (+ (* re re) (* im im)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

126×	`sqrt-prod`
112×	`times-frac`
107×	`add-sqr-sqrt`
69×	`*-un-lft-identity` `add-cube-cbrt`
56×	`associate-l`
42×	`pow1`
33×	`associate-r`
31×	`log-pow`
21×	`add-exp-log`
20×	`add-cbrt-cube`
12×	`unswap-sqr`
10×	`sqrt-div`
7×	`associate-/r*` `prod-exp` `cbrt-unprod`
6×	`frac-times` `associate-*r/`
4×	`log-div` `pow-prod-down` `associate-l/` `insert-posit16` `div-inv` `associate-/l` `add-log-exp`
3×	`cbrt-undiv` `log-prod` `div-exp`
2×	`flip3-+` `div-sub` `*-commutative` `flip-+`
1×	`clear-num` `frac-2neg` `rem-log-exp`

Counts

4 → 211

Calls

4 calls:

64.0ms	(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
31.0ms	(* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
32.0ms	(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
5.0ms	(log (+ (* re re) (* im im)))

series1.4s

Counts

4 → 12

Calls

4 calls:

356.0ms	(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
701.0ms	(* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
283.0ms	(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
77.0ms	(log (+ (* re re) (* im im)))

simplify1.3s

Counts

223 → 223

Iterations

Iter	Nodes
done	2001
2	2001
1	681
0	273

prune1.3s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.6b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
0.3b	(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (* (sqrt (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10)))))
0.3b	(* (sqrt (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im))))
30.9b	(log (+ (* re re) (* im im)))

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

90×	`sqrt-prod`
65×	`times-frac`
62×	`add-sqr-sqrt`
61×	`add-exp-log`
57×	`associate-l`
52×	`*-un-lft-identity` `add-cube-cbrt`
36×	`add-cbrt-cube`
34×	`prod-exp`
31×	`pow1`
30×	`associate-r`
18×	`cbrt-unprod`
12×	`sqrt-div`
11×	`associate-*l/` `log-pow`
10×	`pow-prod-down`
9×	`log-prod`
8×	`div-exp`
7×	`frac-times` `associate-*r/`
4×	`cbrt-undiv` `rec-exp` `1-exp` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in` `un-div-inv` `*-commutative` `div-inv`
2×	`log-div`
1×	`flip3-+` `rem-log-exp` `flip-+`

Counts

4 → 187

Calls

4 calls:

50.0ms	(* (* (sqrt (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
194.0ms	(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (* (sqrt (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10)))))
28.0ms	(* (sqrt (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im))))
5.0ms	(log (+ (* re re) (* im im)))

series1.7s

Counts

4 → 12

Calls

4 calls:

774.0ms	(* (* (sqrt (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
340.0ms	(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (* (sqrt (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10)))))
459.0ms	(* (sqrt (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im))))
77.0ms	(log (+ (* re re) (* im im)))

simplify1.3s

Counts

199 → 199

Iterations

Iter	Nodes
done	2001
2	2001
1	779
0	293

prune1.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.6b

regimes1.0s

Accuracy

57.9% (9.9b remaining)

Error of 17.4b against oracle of 7.5b and baseline of 31.0b

bsearch191.0ms

Steps

Iters	Range		Point
9	1.5170350880269351e+122	2.839867871307593e+130	9.535766378899208e+128
8	-2.2724006060669216e+125	-5.0895228668547535e+122	-1.2774730308138672e+123

simplify42.0ms

Iterations

Iter	Nodes
done	83
4	83
3	76
2	66
1	58
0	43

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.4s

8000×

body

valid