Details

sample30.0ms

Algorithm

intervals

Results

21.0ms

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: 30.3b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* re re) (* im im))
30.3b	(sqrt (+ (* re re) (* im im)))

rewrite21.0ms

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-+` `insert-posit16`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 28

Calls

2 calls:

8.0ms	(+ (* re re) (* im im))
13.0ms	(sqrt (+ (* re re) (* im im)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (* re re) (* im im))
54.0ms	(sqrt (+ (* re re) (* im im)))

simplify4.2s

Counts

34 → 34

Iterations

Iter	Nodes
4	6762
3	1552
2	409
1	127
0	50

prune313.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 8.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
30.3b	(sqrt (+ (* re re) (* im im)))
30.3b	(sqrt (+ (* re re) (* im im)))
30.3b	(sqrt (+ (* re re) (* im im)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`cbrt-prod`
29×	`sqrt-prod`
19×	`*-un-lft-identity` `add-cube-cbrt`
18×	`sqrt-div`
14×	`pow1`
12×	`cbrt-div`
11×	`swap-sqr`
9×	`flip3-+` `associate-r` `associate-l` `flip-+` `unswap-sqr`
6×	`pow1/3` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

51.0ms	(* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
6.0ms	(sqrt (+ (* re re) (* im im)))
6.0ms	(sqrt (+ (* re re) (* im im)))
6.0ms	(sqrt (+ (* re re) (* im im)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
50.0ms	(sqrt (+ (* re re) (* im im)))
41.0ms	(sqrt (+ (* re re) (* im im)))
40.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.5s

Counts

125 → 125

Iterations

Iter	Nodes
4	3594
3	1299
2	523
1	233
0	115

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 8.8b

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

prune6.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 8.8b

localize4.0ms

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: 8.8b

regimes413.0ms

Accuracy

56.1% (9.6b remaining)

Error of 17.3b against oracle of 7.7b and baseline of 29.5b

bsearch77.0ms

Steps

Iters	Range		Point
8	2.8097800752180177e+160	8.382049685682802e+164	2.8891330792293805e+160
10	-1.2770384225018585e+161	-1.851816257930991e+150	-9.047687227227441e+152

simplify2.0ms

Iterations

Iter	Nodes
2	14
1	14
0	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

884.0ms

8000×

body

valid