Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4
done	7	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

localize5.0ms

Local error

Found 1 expressions with local error:

28.4b

(sqrt (+ (* re re) (* im im)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

8.0ms

(sqrt (+ (* re re) (* im im)))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(sqrt (+ (* re re) (* im im)))

simplify137.0ms

Counts

18 → 18

Iterations

Useful iterations: 5 (135.0ms)

Iter	Nodes	Cost
0	89	100
1	215	97
2	503	97
3	1265	97
4	4227	97
5	5002	96
done	5002	96

prune39.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 6.2b

localize13.0ms

Local error

Found 2 expressions with local error:

5.8b	(exp (log (sqrt (+ (* re re) (* im im)))))
28.4b	(sqrt (+ (* re re) (* im im)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

10.0ms	(exp (log (sqrt (+ (* re re) (* im im)))))
8.0ms	(sqrt (+ (* re re) (* im im)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(exp (log (sqrt (+ (* re re) (* im im)))))
37.0ms	(sqrt (+ (* re re) (* im im)))

simplify147.0ms

Counts

43 → 43

Iterations

Useful iterations: 5 (144.0ms)

Iter	Nodes	Cost
0	136	253
1	280	247
2	583	238
3	1387	232
4	4698	232
5	5001	228
done	5001	228

prune82.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 6.2b

localize15.0ms

Local error

Found 2 expressions with local error:

6.0b	(pow E (log (sqrt (+ (* re re) (* im im)))))
28.4b	(sqrt (+ (* re re) (* im im)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `unpow-prod-up` `pow-unpow` `log-prod` `sqrt-prod`
4×	`sqrt-div`
3×	`add-exp-log` `unpow-prod-down` `log-pow`
2×	`log-div` `sqrt-pow1` `flip3-+` `pow1/2` `pow-exp` `add-cbrt-cube` `flip-+` `pow-sub` `add-log-exp`
1×	`pow-to-exp` `rem-sqrt-square` `e-exp-1` `pow-pow` `sqr-pow`

Counts

2 → 44

Calls

2 calls:

10.0ms	(pow E (log (sqrt (+ (* re re) (* im im)))))
8.0ms	(sqrt (+ (* re re) (* im im)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(pow E (log (sqrt (+ (* re re) (* im im)))))
39.0ms	(sqrt (+ (* re re) (* im im)))

simplify52.0ms

Counts

50 → 50

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	205	384
1	542	372
2	1697	365
3	5001	363
done	5001	363

prune109.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 6.2b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 6.2b

regimes289.0ms

Accuracy

56.6% (10.3b remaining)

Error of 17.7b against oracle of 7.4b and baseline of 31.1b

bsearch71.0ms

Steps

Iters	Range		Point
8	3.978686766170509e+64	1.2964566837885159e+67	1.2853826560442209e+67
4	7.427089056077598e-281	1.0961453402580365e-280	7.758435713562232e-281
10	-1.2708908275756568e-290	-1.1187802841012395e-302	-8.357854099413859e-296
7	-4.232272370085704e+115	-2.3541312420272248e+113	-3.133313689967871e+114

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9
done	23	9

end0.0ms

sample334.0ms

Algorithm

intervals

Results

166.0ms

8000×

body

valid