Details

sample25.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	7
1	7
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* re re) (* im im))
31.8b	(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:

7.0ms	(+ (* re re) (* im im))
5.0ms	(sqrt (+ (* re re) (* im im)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* re re) (* im im))
68.0ms	(sqrt (+ (* re re) (* im im)))

simplify4.0s

Counts

32 → 32

Iterations

Iter	Nodes
4	6739
3	1552
2	406
1	125
0	48

prune304.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 6.9b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (+ (* re re) (* im im))))
0.5b	(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
31.8b	(sqrt (+ (* re re) (* im im)))
31.8b	(sqrt (+ (* re re) (* im im)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

82×	`sqrt-prod`
54×	`add-sqr-sqrt`
38×	`sqrt-pow1`
32×	`sqrt-div`
31×	`pow1`
20×	`*-un-lft-identity` `pow1/2` `add-cube-cbrt`
15×	`swap-sqr`
9×	`flip3-+` `associate-r` `associate-l` `pow-prod-up` `flip-+` `unswap-sqr`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
2×	`associate-l/` `associate-r/`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 134

Calls

4 calls:

12.0ms	(sqrt (sqrt (+ (* re re) (* im im))))
46.0ms	(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
7.0ms	(sqrt (+ (* re re) (* im im)))
10.0ms	(sqrt (+ (* re re) (* im im)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(sqrt (sqrt (+ (* re re) (* im im))))
60.0ms	(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
59.0ms	(sqrt (+ (* re re) (* im im)))
60.0ms	(sqrt (+ (* re re) (* im im)))

simplify2.7s

Counts

146 → 146

Iterations

Iter	Nodes
4	5293
3	1636
2	606
1	271
0	127

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 6.9b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune7.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 6.9b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune1.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 6.9b

regimes438.0ms

Accuracy

59.4% (9.0b remaining)

Error of 17.0b against oracle of 8.0b and baseline of 30.1b

bsearch191.0ms

Steps

Iters	Range		Point
10	1.5347927881719531e+137	1.0303134579162717e+148	4.4751344550795556e+147
9	8.078157939339514e-228	5.9061123396576155e-223	1.7106634379274166e-227
10	-7.074938547279042e-300	4.152164446645693e-307	-6.120853424431282e-307
9	-6.07299216690422e+154	-2.0795599106034957e+145	-2.0334299372921848e+147

simplify3.0ms

Iterations

Iter	Nodes
2	20
1	20
0	19

end0.0ms

sample789.0ms

Algorithm

intervals

Results

640.0ms

8000×

body

valid