Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.5b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:

9.0ms	(+ (* re re) (* im im))
9.0ms	(sqrt (+ (* re re) (* im im)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* re re) (* im im))
53.0ms	(sqrt (+ (* re re) (* im im)))

simplify643.0ms

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
2	770
1	142
0	48

prune162.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 6.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (+ (* re re) (* im im))))
0.3b	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
31.3b	(cbrt (+ (* re re) (* im im)))
31.3b	(cbrt (+ (* re re) (* im im)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`cbrt-prod` `sqrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
8×	`cbrt-div`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
4×	`flip3-+` `sqrt-div` `flip-+` `add-log-exp`
3×	`pow1/3` `associate-l` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `associate-*r/`
1×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 74

Calls

4 calls:

11.0ms	(sqrt (cbrt (+ (* re re) (* im im))))
34.0ms	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
6.0ms	(cbrt (+ (* re re) (* im im)))
6.0ms	(cbrt (+ (* re re) (* im im)))

series821.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(sqrt (cbrt (+ (* re re) (* im im))))
154.0ms	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
129.0ms	(cbrt (+ (* re re) (* im im)))
403.0ms	(cbrt (+ (* re re) (* im im)))

simplify952.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	1227
1	295
0	126

prune368.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 6.8b

localize3.0ms

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

prune9.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 6.8b

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: 6.8b

regimes447.0ms

Accuracy

57.7% (10.0b remaining)

Error of 17.8b against oracle of 7.8b and baseline of 31.4b

bsearch48.0ms

Steps

Iters	Range		Point
9	1.0421705451906104e+110	4.703882389530098e+116	1.7637025916869048e+111
4	-2.7814636081393636e+87	-1.4822411859677816e+87	-2.2734489944960353e+87

simplify4.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample525.0ms

Algorithm

intervals

Results

346.0ms

8000×

body

valid