Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* re re) (* im im))
27.5b	(sqrt (+ (* re re) (* im im)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

6.0ms	(+ (* re re) (* im im))
6.0ms	(sqrt (+ (* re re) (* im im)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* re re) (* im im))
40.0ms	(sqrt (+ (* re re) (* im im)))

simplify376.0ms

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
2	770
1	142
0	48

prune168.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 8.5b

localize46.0ms

Local error

Found 4 expressions with local error:

27.5b	(sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))
28.6b	(cbrt (+ (* re re) (* im im)))
28.6b	(cbrt (+ (* re re) (* im im)))
28.6b	(cbrt (+ (* re re) (* im im)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 89

Calls

4 calls:

76.0ms	(sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))
6.0ms	(cbrt (+ (* re re) (* im im)))
7.0ms	(cbrt (+ (* re re) (* im im)))
7.0ms	(cbrt (+ (* re re) (* im im)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))
113.0ms	(cbrt (+ (* re re) (* im im)))
100.0ms	(cbrt (+ (* re re) (* im im)))
118.0ms	(cbrt (+ (* re re) (* im im)))

simplify1.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	5004
3	2997
2	701
1	305
0	164

prune571.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 8.5b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune10.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 8.5b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune1.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 8.5b

regimes380.0ms

Accuracy

59.5% (9.6b remaining)

Error of 17.2b against oracle of 7.6b and baseline of 31.3b

bsearch53.0ms

Steps

Iters	Range		Point
9	1.8841348729660574e+121	3.270754152227266e+128	5.948234035126459e+127
9	-2.741116183037804e+158	-6.518035068066237e+150	-1.1817931832138217e+151

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample516.0ms

Algorithm

intervals

Results

339.0ms

8000×

body

valid