Details

sample45.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.9b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* re re) (* im im))
0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
30.3b	(sqrt (+ (* re re) (* im im)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

14.0ms	(+ (* re re) (* im im))
28.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
7.0ms	(sqrt (+ (* re re) (* im im)))

series285.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (* re re) (* im im))
194.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
43.0ms	(sqrt (+ (* re re) (* im im)))

simplify966.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	1092
1	277
0	125

prune586.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* re re) (* im im))
0.3b	(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
0.5b	(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
30.3b	(sqrt (+ (* re re) (* im im)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 205

Calls

4 calls:

8.0ms	(+ (* re re) (* im im))
50.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
28.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
7.0ms	(sqrt (+ (* re re) (* im im)))

series640.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* re re) (* im im))
220.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
326.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
46.0ms	(sqrt (+ (* re re) (* im im)))

simplify3.4s

Counts

217 → 217

Iterations

Iter	Nodes
done	5000
2	3993
1	714
0	247

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* re re) (* im im))
0.3b	(* (/ 1 (sqrt (log 10.0))) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0)))))
0.3b	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))
30.3b	(sqrt (+ (* re re) (* im im)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-exp-log`
47×	`add-sqr-sqrt`
46×	`times-frac`
40×	`prod-exp`
36×	`*-un-lft-identity`
34×	`add-cube-cbrt`
31×	`associate-l`
30×	`add-cbrt-cube`
29×	`sqrt-prod`
26×	`associate-r`
20×	`pow1` `div-exp`
12×	`cbrt-unprod`
10×	`rec-exp` `1-exp`
9×	`log-pow`
6×	`cbrt-undiv` `add-log-exp`
5×	`associate-*r/` `unswap-sqr`
4×	`pow-prod-down`
3×	`un-div-inv`
2×	`frac-times` `sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `*-commutative` `flip-+` `div-inv`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `associate-*l/`

Counts

4 → 146

Calls

4 calls:

14.0ms	(+ (* re re) (* im im))
73.0ms	(* (/ 1 (sqrt (log 10.0))) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0)))))
35.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))
7.0ms	(sqrt (+ (* re re) (* im im)))

series538.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* re re) (* im im))
189.0ms	(* (/ 1 (sqrt (log 10.0))) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0)))))
262.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))
51.0ms	(sqrt (+ (* re re) (* im im)))

simplify5.4s

Counts

158 → 158

Iterations

Iter	Nodes
done	5000
2	4502
1	648
0	214

prune816.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))))
0.2b	(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0)))))
0.3b	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))
30.3b	(sqrt (+ (* re re) (* im im)))

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

91×	`sqrt-prod`
67×	`times-frac`
63×	`add-sqr-sqrt`
62×	`associate-l`
52×	`*-un-lft-identity`
50×	`add-exp-log` `add-cube-cbrt`
32×	`pow1` `add-cbrt-cube`
28×	`prod-exp`
27×	`associate-r`
18×	`associate-*r/`
17×	`sqrt-div`
16×	`cbrt-unprod`
12×	`log-pow`
11×	`frac-times`
10×	`pow-prod-down`
7×	`un-div-inv`
6×	`div-exp`
5×	`unswap-sqr`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative` `div-inv`
2×	`sqrt-pow1` `pow1/2`
1×	`rem-sqrt-square` `flip3-+` `flip-+`

Counts

4 → 181

Calls

4 calls:

210.0ms	(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))))
57.0ms	(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0)))))
25.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))
12.0ms	(sqrt (+ (* re re) (* im im)))

series1.1s

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))))
597.0ms	(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0)))))
261.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))
44.0ms	(sqrt (+ (* re re) (* im im)))

simplify6.0s

Counts

193 → 193

Iterations

Iter	Nodes
done	5000
2	4285
1	699
0	260

prune900.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.3b

regimes1.6s

Accuracy

57.7% (10.3b remaining)

Error of 17.7b against oracle of 7.3b and baseline of 31.8b

bsearch68.0ms

Steps

Iters	Range		Point
9	1.0421705451906104e+110	4.703882389530098e+116	1.7637025916869048e+111
4	-2.7814636081393636e+87	-1.4822411859677816e+87	-2.2734489944960353e+87

simplify15.0ms

Iterations

Iter	Nodes
done	36
1	36
0	27

end0.0ms

sample1.2s

Algorithm

intervals

Results

985.0ms

8000×

body

valid