Details

sample46.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
3.0ms	74×	body	80	nan

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
18.9b	(sqrt (+ (* x x) y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

14.0ms	(+ (* x x) y)
19.0ms	(sqrt (+ (* x x) y))

series122.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x x) y)
85.0ms	(sqrt (+ (* x x) y))

simplify3.2s

Counts

32 → 32

Iterations

Iter	Nodes
done	5003
3	1343
2	400
1	146
0	59

prune262.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

18.9b	(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
19.8b	(cbrt (+ (* x x) y))
19.8b	(cbrt (+ (* x x) y))
19.8b	(cbrt (+ (* x x) y))

rewrite212.0ms

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` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 89

Calls

4 calls:

167.0ms	(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
11.0ms	(cbrt (+ (* x x) y))
13.0ms	(cbrt (+ (* x x) y))
13.0ms	(cbrt (+ (* x x) y))

series528.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
154.0ms	(cbrt (+ (* x x) y))
148.0ms	(cbrt (+ (* x x) y))
143.0ms	(cbrt (+ (* x x) y))

simplify4.9s

Counts

101 → 101

Iterations

Iter	Nodes
done	5031
4	2721
3	1023
2	511
1	306
0	174

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune23.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 1/2 (/ y x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

33.0ms

(* 1/2 (/ y x))

series223.0ms

Counts

1 → 3

Calls

1 calls:

223.0ms

(* 1/2 (/ y x))

simplify9.0s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
3	1414
2	508
1	172
0	68

prune182.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes720.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.4b

bsearch66.0ms

Steps

Iters	Range		Point
4	2.1682277902349523e+98	4.2030115212219e+98	3.146509911612528e+98
8	-2.501733909041458e+156	-8.408104008127041e+151	-1.3441927464709044e+154

simplify6.0ms

Iterations

Iter	Nodes
done	22
1	22
0	19

end0.0ms

sample1.3s

Algorithm

intervals

Results

335.0ms	8000×	body	80	valid
127.0ms	2667×	body	80	nan