Details

sample50.0ms

Algorithm

intervals

Results

27.0ms

256×

body

valid

simplify10.0ms

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: 30.8b

localize101.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
28.4b	(sqrt (+ (* re re) (* im im)))

rewrite674.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

625.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
35.0ms	(sqrt (+ (* re re) (* im im)))

series1.1s

Counts

2 → 6

Calls

2 calls:

909.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
209.0ms	(sqrt (+ (* re re) (* im im)))

simplify12.6s

Counts

69 → 69

Iterations

Iter	Nodes
done	5012
4	2887
3	1178
2	502
1	227
0	116

prune1.8s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.7b

localize103.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1/2 (/ (log 10.0) (log (+ (* re re) (* im im)))))
0.6b	(/ (log 10.0) (log (+ (* re re) (* im im))))
29.5b	(log (+ (* re re) (* im im)))

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
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` `add-log-exp`
2×	`log-div` `frac-2neg` `clear-num`
1×	`flip3-+` `rem-log-exp` `associate-/r/` `flip-+`

Counts

3 → 148

Calls

3 calls:

23.0ms	(/ 1/2 (/ (log 10.0) (log (+ (* re re) (* im im)))))
27.0ms	(/ (log 10.0) (log (+ (* re re) (* im im))))
234.0ms	(log (+ (* re re) (* im im)))

series1.5s

Counts

3 → 9

Calls

3 calls:

865.0ms	(/ 1/2 (/ (log 10.0) (log (+ (* re re) (* im im)))))
437.0ms	(/ (log 10.0) (log (+ (* re re) (* im im))))
215.0ms	(log (+ (* re re) (* im im)))

simplify11.0s

Counts

157 → 157

Iterations

Iter	Nodes
done	5000
3	4182
2	1575
1	517
0	209

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.6b

localize215.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (log 10.0))
1.0b	(cbrt (log 10.0))
1.0b	(cbrt (log 10.0))
29.5b	(log (+ (* re re) (* im im)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-exp-log`
4×	`log-pow` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `pow1/3`
2×	`log-div`
1×	`flip3-+` `rem-log-exp` `flip-+`

Counts

4 → 50

Calls

4 calls:

2.0ms	(cbrt (log 10.0))
2.0ms	(cbrt (log 10.0))
19.0ms	(cbrt (log 10.0))
14.0ms	(log (+ (* re re) (* im im)))

series254.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt (log 10.0))
0.0ms	(cbrt (log 10.0))
0.0ms	(cbrt (log 10.0))
253.0ms	(log (+ (* re re) (* im im)))

simplify16.3s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
5	3485
4	1295
3	619
2	294
1	146
0	69

prune1.0s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.5b

localize302.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (/ (sqrt 1/2) (sqrt (log 10.0))) (* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10.0)))))
0.3b	(* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10.0))))
29.5b	(log (+ (* im im) (* re re)))

rewrite527.0ms

Algorithm

rewrite-expression-head

Rules

94×	`sqrt-prod`
88×	`times-frac`
73×	`add-sqr-sqrt`
59×	`add-cube-cbrt` `*-un-lft-identity`
50×	`associate-l`
47×	`associate-r`
30×	`add-exp-log`
29×	`add-cbrt-cube`
24×	`pow1`
14×	`log-pow`
12×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
5×	`unswap-sqr`
4×	`associate-*r/` `pow-prod-down`
3×	`log-prod` `add-log-exp`
2×	`log-div` `*-commutative` `div-inv`
1×	`frac-times` `flip3-+` `rem-log-exp` `associate-*l/` `flip-+`

Counts

3 → 155

Calls

3 calls:

361.0ms	(* (/ (sqrt 1/2) (sqrt (log 10.0))) (* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10.0)))))
75.0ms	(* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10.0))))
32.0ms	(log (+ (* im im) (* re re)))

series2.0s

Counts

3 → 9

Calls

3 calls:

804.0ms	(* (/ (sqrt 1/2) (sqrt (log 10.0))) (* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10.0)))))
851.0ms	(* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10.0))))
310.0ms	(log (+ (* im im) (* re re)))

simplify11.4s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
2	2364
1	634
0	232

prune3.6s

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.5b

regimes5.9s

Accuracy

46.1% (17.1b remaining)

Error of 17.4b against oracle of 0.3b and baseline of 32.0b

bsearch1.7s

Steps

Iters	Range		Point
9	8.232280728626634e+118	1.616260079881983e+124	2.4882273744080685e+120
7	2.0138989610737437e-223	3.513292998456653e-221	1.0867544842600713e-222
7	-1.8526739690709523e-286	-4.24728189477473e-288	-9.644694989558798e-288
7	-2.103322119114889e-199	-1.1489518917561426e-200	-1.4033066344508947e-200
7	-1.071997153553084e+105	-8.197004423392504e+102	-6.3511436857219e+103

simplify117.0ms

Iterations

Iter	Nodes
done	81
1	81
0	64

end15.0ms

sample4.2s

Algorithm

intervals

Results

3.8s

8000×

body

valid