Details

sample177.0ms

Algorithm

intervals

Results

86.0ms	123×	body	320	valid
38.0ms	128×	body	160	valid
31.0ms	223×	body	80	nan
1.0ms	5×	body	80	valid

simplify959.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2005
5	2005
4	1170
3	353
2	116
1	46
0	19

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.5b

localize58.0ms

Local error

Found 4 expressions with local error:

7.7b	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* 2 a)))
8.1b	(cbrt (* (/ -1/2 a) (+ (sqrt (- (* g g) (* h h))) g)))
30.3b	(sqrt (- (* g g) (* h h)))
30.3b	(sqrt (- (* g g) (* h h)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`cbrt-prod`
10×	`*-un-lft-identity`
9×	`sqrt-prod`
8×	`add-cube-cbrt`
6×	`pow1` `cbrt-div` `times-frac`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `add-log-exp` `difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `pow1/3` `associate-*r/` `flip-+` `flip--`
1×	`associate-*l/` `div-inv` `distribute-lft-out--`

Counts

4 → 69

Calls

4 calls:

24.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* 2 a)))
43.0ms	(cbrt (* (/ -1/2 a) (+ (sqrt (- (* g g) (* h h))) g)))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series843.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* 2 a)))
403.0ms	(cbrt (* (/ -1/2 a) (+ (sqrt (- (* g g) (* h h))) g)))
71.0ms	(sqrt (- (* g g) (* h h)))
50.0ms	(sqrt (- (* g g) (* h h)))

simplify1.0s

Counts

81 → 81

Iterations

Iter	Nodes
done	2002
3	2002
2	1070
1	431
0	199

prune1.1s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 31.0b

localize51.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (* g g) (* h h))
7.7b	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* 2 a)))
30.3b	(sqrt (- (* g g) (* h h)))
30.3b	(sqrt (- (* g g) (* h h)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`cbrt-prod` `*-un-lft-identity`
9×	`sqrt-prod`
8×	`add-cube-cbrt`
6×	`pow1` `times-frac` `add-log-exp`
5×	`difference-of-squares`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16`
3×	`flip3--` `flip--`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`cbrt-div` `sub-neg` `pow1/3` `diff-log` `div-inv` `distribute-lft-out--`

Counts

4 → 68

Calls

4 calls:

10.0ms	(- (* g g) (* h h))
20.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* 2 a)))
16.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (* g g) (* h h))
322.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* 2 a)))
65.0ms	(sqrt (- (* g g) (* h h)))
68.0ms	(sqrt (- (* g g) (* h h)))

simplify986.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	2003
3	2003
2	775
1	323
0	158

prune1.4s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 30.6b

localize70.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (* g g) (* h h))
3.6b	(- (* g g) (* h h))
30.3b	(sqrt (- (* g g) (* h h)))
30.3b	(sqrt (- (* g g) (* h h)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 62

Calls

4 calls:

12.0ms	(- (* g g) (* h h))
14.0ms	(- (* g g) (* h h))
22.0ms	(sqrt (- (* g g) (* h h)))
14.0ms	(sqrt (- (* g g) (* h h)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* g g) (* h h))
48.0ms	(- (* g g) (* h h))
75.0ms	(sqrt (- (* g g) (* h h)))
68.0ms	(sqrt (- (* g g) (* h h)))

simplify1.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	2002
4	2002
3	1567
2	347
1	129
0	57

prune1.4s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 30.6b

localize66.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (* g g) (* h h))
3.6b	(- (* g g) (* h h))
30.3b	(sqrt (- (* g g) (* h h)))
30.3b	(sqrt (- (* g g) (* h h)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 62

Calls

4 calls:

10.0ms	(- (* g g) (* h h))
14.0ms	(- (* g g) (* h h))
15.0ms	(sqrt (- (* g g) (* h h)))
23.0ms	(sqrt (- (* g g) (* h h)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* g g) (* h h))
34.0ms	(- (* g g) (* h h))
58.0ms	(sqrt (- (* g g) (* h h)))
65.0ms	(sqrt (- (* g g) (* h h)))

simplify1.5s

Counts

74 → 74

Iterations

Iter	Nodes
done	2002
4	2002
3	1567
2	347
1	129
0	57

prune1.3s

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 30.6b

regimes1.9s

Accuracy

0% (1.6b remaining)

Error of 31.4b against oracle of 29.8b and baseline of 31.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	24
1	24
0	20

end0.0ms

sample7.4s

Algorithm

intervals

Results

3.1s	3663×	body	320	valid
2.1s	7671×	body	80	nan
1.8s	4193×	body	160	valid
26.0ms	144×	body	80	valid