Details

sample38.0ms

Algorithm

intervals

Results

27.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize30.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
31.5b	(sqrt (+ (* re re) (* im im)))

rewrite41.0ms

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:

34.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
6.0ms	(sqrt (+ (* re re) (* im im)))

series255.0ms

Counts

2 → 6

Calls

2 calls:

205.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
51.0ms	(sqrt (+ (* re re) (* im im)))

simplify767.0ms

Counts

71 → 71

Iterations

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

prune362.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.5b

localize55.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (/ 1 (sqrt (log 10))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10))))
0.5b	(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10)))
31.5b	(sqrt (+ (* re re) (* im im)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
107×	`add-sqr-sqrt`
78×	`sqrt-prod`
66×	`*-un-lft-identity`
61×	`log-pow`
60×	`add-cube-cbrt`
52×	`pow1`
46×	`associate-r`
27×	`add-exp-log`
25×	`associate-l`
17×	`add-cbrt-cube`
16×	`sqrt-pow1` `pow1/2`
15×	`unswap-sqr`
9×	`div-exp`
8×	`prod-exp`
7×	`associate-/r*`
6×	`associate-/l*`
5×	`cbrt-undiv`
4×	`sqrt-div` `cbrt-unprod`
3×	`insert-posit16` `div-inv` `add-log-exp`
2×	`log-div` `rec-exp` `flip3-+` `1-exp` `div-sub` `flip-+`
1×	`frac-times` `rem-sqrt-square` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 197

Calls

3 calls:

40.0ms	(* (/ 1 (sqrt (log 10))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10))))
22.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10)))
6.0ms	(sqrt (+ (* re re) (* im im)))

series602.0ms

Counts

3 → 9

Calls

3 calls:

182.0ms	(* (/ 1 (sqrt (log 10))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10))))
372.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10)))
48.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.1s

Counts

206 → 206

Iterations

Iter	Nodes
done	2000
2	1696
1	645
0	241

prune755.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 7.3b

localize28.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 1 (sqrt (log 10))) (log (sqrt (+ (* re re) (* im im))))) (/ 1 (sqrt (log 10))))
0.3b	(* (/ 1 (sqrt (log 10))) (log (sqrt (+ (* re re) (* im im)))))
31.5b	(sqrt (+ (* re re) (* im im)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-exp-log`
50×	`add-sqr-sqrt`
46×	`times-frac`
40×	`prod-exp`
39×	`*-un-lft-identity`
37×	`add-cube-cbrt`
35×	`sqrt-prod`
31×	`associate-r`
29×	`add-cbrt-cube`
26×	`associate-l`
20×	`div-exp`
19×	`pow1`
12×	`log-prod` `cbrt-unprod`
10×	`rec-exp` `1-exp`
9×	`log-pow`
6×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in`
5×	`unswap-sqr`
4×	`pow-prod-down` `associate-*l/`
3×	`insert-posit16` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `*-commutative` `div-inv`
1×	`frac-times` `rem-sqrt-square` `flip3-+` `associate-*r/` `un-div-inv` `flip-+`

Counts

3 → 148

Calls

3 calls:

45.0ms	(* (* (/ 1 (sqrt (log 10))) (log (sqrt (+ (* re re) (* im im))))) (/ 1 (sqrt (log 10))))
40.0ms	(* (/ 1 (sqrt (log 10))) (log (sqrt (+ (* re re) (* im im)))))
6.0ms	(sqrt (+ (* re re) (* im im)))

series521.0ms

Counts

3 → 9

Calls

3 calls:

188.0ms	(* (* (/ 1 (sqrt (log 10))) (log (sqrt (+ (* re re) (* im im))))) (/ 1 (sqrt (log 10))))
267.0ms	(* (/ 1 (sqrt (log 10))) (log (sqrt (+ (* re re) (* im im)))))
65.0ms	(sqrt (+ (* re re) (* im im)))

simplify908.0ms

Counts

157 → 157

Iterations

Iter	Nodes
done	2002
2	1574
1	637
0	230

prune664.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (log (sqrt (+ (* re re) (* im im)))))) (/ 1 (sqrt (log 10))))
0.3b	(* (sqrt (/ 1 (sqrt (log 10)))) (log (sqrt (+ (* re re) (* im im)))))
0.3b	(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (log (sqrt (+ (* re re) (* im im))))))
31.5b	(sqrt (+ (* re re) (* im im)))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

114×	`sqrt-prod`
77×	`add-sqr-sqrt`
67×	`times-frac`
64×	`*-un-lft-identity`
62×	`add-cube-cbrt`
57×	`associate-l`
50×	`add-exp-log`
36×	`log-prod`
32×	`pow1` `add-cbrt-cube` `associate-r`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`prod-exp`
16×	`cbrt-unprod`
15×	`sqrt-div`
13×	`associate-*l/`
12×	`log-pow`
10×	`pow-prod-down`
6×	`frac-times` `div-exp` `unswap-sqr`
4×	`associate-*r/` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative` `div-inv`
2×	`sqrt-pow1` `pow1/2`
1×	`rem-sqrt-square` `flip3-+` `un-div-inv` `flip-+`

Counts

4 → 216

Calls

4 calls:

147.0ms	(* (* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (log (sqrt (+ (* re re) (* im im)))))) (/ 1 (sqrt (log 10))))
24.0ms	(* (sqrt (/ 1 (sqrt (log 10)))) (log (sqrt (+ (* re re) (* im im)))))
94.0ms	(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (log (sqrt (+ (* re re) (* im im))))))
6.0ms	(sqrt (+ (* re re) (* im im)))

series999.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(* (* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (log (sqrt (+ (* re re) (* im im)))))) (/ 1 (sqrt (log 10))))
431.0ms	(* (sqrt (/ 1 (sqrt (log 10)))) (log (sqrt (+ (* re re) (* im im)))))
292.0ms	(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (log (sqrt (+ (* re re) (* im im))))))
49.0ms	(sqrt (+ (* re re) (* im im)))

simplify800.0ms

Counts

228 → 228

Iterations

Iter	Nodes
done	2001
1	861
0	312

prune1.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.3b

regimes1.4s

Accuracy

55.8% (10.6b remaining)

Error of 17.7b against oracle of 7.1b and baseline of 31.1b

bsearch323.0ms

Steps

Iters	Range		Point
8	1.1138250880895117e+95	3.6742441519344763e+99	2.584078545341751e+99
8	3.3726051566180454e-215	3.5201645490536855e-211	9.76737562426656e-213
6	-6.493281180427814e-218	-1.272279862751547e-218	-3.263660527236801e-218
11	-1.4727407547297607e+132	-9.242862080727889e+95	-1.5790703821962546e+117

simplify26.0ms

Iterations

Iter	Nodes
done	67
1	67
0	49

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

8000×

body

valid