Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
3.0ms	97×	body	80	nan

simplify20.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
16.1b	(sqrt (+ (* x x) y))

rewrite37.0ms

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:

16.0ms	(+ (* x x) y)
20.0ms	(sqrt (+ (* x x) y))

series110.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x x) y)
73.0ms	(sqrt (+ (* x x) y))

simplify787.0ms

Counts: 32 → 32

prune103.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

16.1b	(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
16.9b	(cbrt (+ (* x x) y))
16.9b	(cbrt (+ (* x x) y))
16.9b	(cbrt (+ (* x x) y))

rewrite169.0ms

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:

131.0ms	(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
11.0ms	(cbrt (+ (* x x) y))
10.0ms	(cbrt (+ (* x x) y))
11.0ms	(cbrt (+ (* x x) y))

series438.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
125.0ms	(cbrt (+ (* x x) y))
121.0ms	(cbrt (+ (* x x) y))
138.0ms	(cbrt (+ (* x x) y))

simplify861.0ms

Counts: 101 → 101

prune342.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify20.0ms

Counts: 0 → 0

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify19.0ms

Counts: 0 → 0

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes186.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.4b

bsearch62.0ms

Steps

Iters	Range		Point
9	1.1805935513680413e+114	1.218853843055367e+119	1.9181347546295323e+118
8	-1.2144035458823427e+156	-1.3223896188890119e+153	-1.3638696017392863e+154

simplify55.0ms

end0.0ms

sample915.0ms

Algorithm

intervals

Results

324.0ms	8000×	body	80	valid
99.0ms	2667×	body	80	nan