Details

sample28.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	8
1	8
0	7

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.3b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (sqrt (+ (* re re) (* im im))))
30.0b	(sqrt (+ (* re re) (* im im)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `log-prod` `sqrt-prod`
5×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`sqrt-div`
3×	`add-exp-log` `log-pow`
2×	`log-div` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `flip-+` `insert-posit16` `add-log-exp`
1×	`rem-sqrt-square` `rem-log-exp`

Counts

2 → 36

Calls

2 calls:

13.0ms	(log (sqrt (+ (* re re) (* im im))))
37.0ms	(sqrt (+ (* re re) (* im im)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(log (sqrt (+ (* re re) (* im im))))
63.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.4s

Counts

42 → 42

Iterations

Iter	Nodes
5	3150
4	1078
3	496
2	242
1	129
0	66

prune445.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 7.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sqrt (+ (* re re) (* im im))))
30.0b	(sqrt (+ (* re re) (* im im)))
30.0b	(sqrt (+ (* re re) (* im im)))
30.0b	(sqrt (+ (* re re) (* im im)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-div`
7×	`pow1`
6×	`cbrt-prod`
4×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 65

Calls

4 calls:

8.0ms	(cbrt (sqrt (+ (* re re) (* im im))))
7.0ms	(sqrt (+ (* re re) (* im im)))
12.0ms	(sqrt (+ (* re re) (* im im)))
11.0ms	(sqrt (+ (* re re) (* im im)))

series331.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt (sqrt (+ (* re re) (* im im))))
54.0ms	(sqrt (+ (* re re) (* im im)))
45.0ms	(sqrt (+ (* re re) (* im im)))
68.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.2s

Counts

77 → 77

Iterations

Iter	Nodes
4	2993
3	997
2	350
1	149
0	72

prune995.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 7.0b

localize7.0ms

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

prune9.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 7.0b

localize11.0ms

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: 7.0b

regimes518.0ms

Accuracy

59.2% (9.4b remaining)

Error of 16.6b against oracle of 7.2b and baseline of 30.3b

bsearch239.0ms

Steps

Iters	Range		Point
9	3.2416582717458495e+102	1.7087861021392926e+108	1.5503547602037399e+103
9	-1.6476049082533209e-217	-3.0866651666303126e-226	-5.407728963531234e-222
10	-1.086738882013716e-173	-4.710062462895905e-188	-4.421534942183472e-187
8	-2.2544727380026611e+95	-6.663293247721072e+92	-1.388360913720003e+94

simplify8.0ms

Iterations

Iter	Nodes
2	24
1	24
0	23

end0.0ms

sample1.1s

Algorithm

intervals

Results

853.0ms

8000×

body

valid