Details

sample59.0ms

Algorithm

intervals

Results

17.0ms	362×	body	80	nan
15.0ms	312×	body	80	valid

simplify6.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4530
8	1155
7	370
6	204
5	132
4	61
3	36
2	21
1	14
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
1.8b	(- (* y y) (* z z))
24.5b	(sqrt (- (* y y) (* z z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`pow1`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`sqrt-div`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`associate-*r/` `unswap-sqr`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 54

Calls

3 calls:

23.0ms	(* x (sqrt (- (* y y) (* z z))))
7.0ms	(- (* y y) (* z z))
8.0ms	(sqrt (- (* y y) (* z z)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(* x (sqrt (- (* y y) (* z z))))
46.0ms	(- (* y y) (* z z))
53.0ms	(sqrt (- (* y y) (* z z)))

simplify1.7s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	2374
2	545
1	196
0	85

prune341.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (sqrt (* (+ y z) (- y z))))
24.5b	(sqrt (* (+ y z) (- y z)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

52.0ms	(* x (sqrt (* (+ y z) (- y z))))
18.0ms	(sqrt (* (+ y z) (- y z)))

series225.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(* x (sqrt (* (+ y z) (- y z))))
86.0ms	(sqrt (* (+ y z) (- y z)))

simplify2.3s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	3443
2	735
1	212
0	95

prune273.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

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
done	0
0	0

prune7.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize8.0ms

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

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes325.0ms

Accuracy

97.5% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 24.4b

bsearch188.0ms

Steps

Iters	Range		Point
10	-2.4472721524300585e-243	-5.228879419247309e-259	-5.361090024927946e-259

simplify2.0ms

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

706.0ms	10286×	body	80	nan
585.0ms	10130×	body	80	valid