Details

sample221.0ms

Algorithm

intervals

Results

76.0ms	123×	body	320	valid
50.0ms	128×	body	160	valid
41.0ms	223×	body	80	nan
1.0ms	5×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
5	2000
4	1243
3	370
2	119
1	47
0	19

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.5b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
116×	`add-sqr-sqrt`
88×	`*-un-lft-identity`
84×	`cbrt-prod`
62×	`add-cube-cbrt`
28×	`difference-of-squares`
21×	`sqrt-prod`
13×	`distribute-lft-out--`
7×	`div-inv`
6×	`pow1` `cbrt-div`
4×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `pow1/3` `associate-*r/` `flip-+` `flip--`
1×	`associate-*l/` `associate-/r/`

Counts

4 → 150

Calls

4 calls:

13.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
23.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
19.0ms	(sqrt (- (* g g) (* h h)))
19.0ms	(sqrt (- (* g g) (* h h)))

series930.0ms

Counts

4 → 12

Calls

4 calls:

375.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
410.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
82.0ms	(sqrt (- (* g g) (* h h)))
63.0ms	(sqrt (- (* g g) (* h h)))

simplify1.3s

Counts

162 → 162

Iterations

Iter	Nodes
done	2000
2	2000
1	894
0	409

prune2.9s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 31.0b

localize88.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (* g g) (* h h))
7.7b	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
30.3b	(sqrt (- (* g g) (* h h)))
30.3b	(sqrt (- (* g g) (* h h)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
116×	`add-sqr-sqrt`
88×	`*-un-lft-identity`
83×	`cbrt-prod`
62×	`add-cube-cbrt`
29×	`difference-of-squares`
21×	`sqrt-prod`
13×	`distribute-lft-out--`
7×	`div-inv`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`cbrt-div` `sub-neg` `fma-neg` `pow1/3` `diff-log` `prod-diff` `associate-/r/`

Counts

4 → 151

Calls

4 calls:

8.0ms	(- (* g g) (* h h))
13.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
14.0ms	(sqrt (- (* g g) (* h h)))
18.0ms	(sqrt (- (* g g) (* h h)))

series566.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* g g) (* h h))
373.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
82.0ms	(sqrt (- (* g g) (* h h)))
67.0ms	(sqrt (- (* g g) (* h h)))

simplify1.7s

Counts

163 → 163

Iterations

Iter	Nodes
done	2000
3	2000
2	1879
1	776
0	370

prune3.1s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 30.6b

localize58.0ms

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)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 74

Calls

4 calls:

16.0ms	(- (* g g) (* h h))
16.0ms	(- (* g g) (* h h))
19.0ms	(sqrt (- (* g g) (* h h)))
19.0ms	(sqrt (- (* g g) (* h h)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* g g) (* h h))
60.0ms	(- (* g g) (* h h))
60.0ms	(sqrt (- (* g g) (* h h)))
65.0ms	(sqrt (- (* g g) (* h h)))

simplify1.1s

Counts

86 → 86

Iterations

Iter	Nodes
done	2011
4	2011
3	1666
2	377
1	138
0	64

prune1.6s

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 30.6b

localize77.0ms

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)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 74

Calls

4 calls:

10.0ms	(- (* g g) (* h h))
8.0ms	(- (* g g) (* h h))
9.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* g g) (* h h))
39.0ms	(- (* g g) (* h h))
80.0ms	(sqrt (- (* g g) (* h h)))
51.0ms	(sqrt (- (* g g) (* h h)))

simplify1.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	2011
4	2011
3	1666
2	377
1	138
0	64

prune1.3s

Pruning

25 alts after pruning (23 fresh and 2 done)

Merged error: 30.6b

regimes762.0ms

Accuracy

0% (1.6b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	23
1	23
0	20

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.2s	7671×	body	80	nan
2.2s	3663×	body	320	valid
1.9s	4193×	body	160	valid
22.0ms	144×	body	80	valid