Details

sample54.0ms

Algorithm

intervals

Results

41.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.9b

localize28.0ms

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)))

rewrite46.0ms

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:

39.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
6.0ms	(sqrt (+ (* re re) (* im im)))

series229.0ms

Counts

2 → 6

Calls

2 calls:

189.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
40.0ms	(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

prune395.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
0.6b	(/ (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (log 10))
33.4b	(cbrt (+ (* re re) (* im im)))
33.4b	(cbrt (+ (* re re) (* im im)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `pow1`
21×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
16×	`log-pow`
10×	`cbrt-prod`
9×	`associate-r`
8×	`cbrt-div` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
6×	`pow-prod-down`
5×	`associate-/l*`
4×	`associate-/r` `flip3-+` `sqrt-div` `associate-r/` `flip-+` `insert-posit16` `add-log-exp`
3×	`associate-l` `unswap-sqr`
2×	`log-div` `pow1/3` `div-sub`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 101

Calls

4 calls:

35.0ms	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
63.0ms	(/ (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (log 10))
4.0ms	(cbrt (+ (* re re) (* im im)))
4.0ms	(cbrt (+ (* re re) (* im im)))

series641.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
222.0ms	(/ (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (log 10))
133.0ms	(cbrt (+ (* re re) (* im im)))
156.0ms	(cbrt (+ (* re re) (* im im)))

simplify1.4s

Counts

113 → 113

Iterations

Iter	Nodes
done	2001
3	2001
2	990
1	367
0	181

prune661.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ (log (* (* (fabs (cbrt (cbrt (+ (* re re) (* im im))))) (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (cbrt (+ (* re re) (* im im))))))) (log 10))
33.4b	(cbrt (+ (* re re) (* im im)))
33.4b	(cbrt (+ (* re re) (* im im)))
33.4b	(cbrt (+ (* re re) (* im im)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

135.0ms	(/ (log (* (* (fabs (cbrt (cbrt (+ (* re re) (* im im))))) (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (cbrt (+ (* re re) (* im im))))))) (log 10))
8.0ms	(cbrt (+ (* re re) (* im im)))
15.0ms	(cbrt (+ (* re re) (* im im)))
6.0ms	(cbrt (+ (* re re) (* im im)))

series652.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(/ (log (* (* (fabs (cbrt (cbrt (+ (* re re) (* im im))))) (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (cbrt (+ (* re re) (* im im))))))) (log 10))
112.0ms	(cbrt (+ (* re re) (* im im)))
116.0ms	(cbrt (+ (* re re) (* im im)))
133.0ms	(cbrt (+ (* re re) (* im im)))

simplify986.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	2000
3	2000
2	777
1	298
0	146

prune706.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ (log 10) (log (* (* (fabs (cbrt (cbrt (+ (* re re) (* im im))))) (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (cbrt (+ (* re re) (* im im))))))))
33.4b	(cbrt (+ (* re re) (* im im)))
33.4b	(cbrt (+ (* re re) (* im im)))
33.4b	(cbrt (+ (* re re) (* im im)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

47.0ms	(/ (log 10) (log (* (* (fabs (cbrt (cbrt (+ (* re re) (* im im))))) (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (cbrt (+ (* re re) (* im im))))))))
8.0ms	(cbrt (+ (* re re) (* im im)))
15.0ms	(cbrt (+ (* re re) (* im im)))
7.0ms	(cbrt (+ (* re re) (* im im)))

series770.0ms

Counts

4 → 12

Calls

4 calls:

387.0ms	(/ (log 10) (log (* (* (fabs (cbrt (cbrt (+ (* re re) (* im im))))) (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (cbrt (+ (* re re) (* im im))))))))
129.0ms	(cbrt (+ (* re re) (* im im)))
119.0ms	(cbrt (+ (* re re) (* im im)))
135.0ms	(cbrt (+ (* re re) (* im im)))

simplify985.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	2004
3	2004
2	775
1	274
0	128

prune641.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 8.0b

regimes1.8s

Accuracy

57.9% (10.1b remaining)

Error of 17.6b against oracle of 7.6b and baseline of 31.5b

bsearch228.0ms

Steps

Iters	Range		Point
6	5.8387500793031636e+110	5.776542735442803e+111	3.884985694072655e+111
5	3.6388443431761803e-190	1.3275723076839322e-189	5.785268620035206e-190
9	1.0895154035376558e-232	8.401369797053701e-225	3.7915490690311645e-225
8	-87.25999490770408	-0.09018726350273112	-86.01993975715544

simplify22.0ms

Iterations

Iter	Nodes
done	55
1	55
0	50

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.3s

8000×

body

valid