Details

sample228.0ms

Algorithm

intervals

Results

99.0ms	123×	body	320	valid
55.0ms	128×	body	160	valid
44.0ms	223×	body	80	nan
1.0ms	5×	body	80	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
5	2018
4	871
3	351
2	114
1	44
0	19

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.5b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

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-*l/` `flip-+` `flip--`
1×	`associate-*r/` `div-inv` `distribute-lft-out--`

Counts

4 → 69

Calls

4 calls:

32.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
25.0ms	(cbrt (* (+ g (sqrt (- (* g g) (* h h)))) (/ -1/2 a)))
13.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series802.0ms

Counts

4 → 12

Calls

4 calls:

373.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
311.0ms	(cbrt (* (+ g (sqrt (- (* g g) (* h h)))) (/ -1/2 a)))
58.0ms	(sqrt (- (* g g) (* h h)))
60.0ms	(sqrt (- (* g g) (* h h)))

simplify1.1s

Counts

81 → 81

Iterations

Iter	Nodes
3	3313
2	1066
1	426
0	208

prune830.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 30.7b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

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:

7.0ms	(- (* g g) (* h h))
15.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
14.0ms	(sqrt (- (* g g) (* h h)))
25.0ms	(sqrt (- (* g g) (* h h)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* g g) (* h h))
306.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
52.0ms	(sqrt (- (* g g) (* h h)))
83.0ms	(sqrt (- (* g g) (* h h)))

simplify937.0ms

Counts

80 → 80

Iterations

Iter	Nodes
3	2664
2	767
1	322
0	158

prune753.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 30.4b

localize59.0ms

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)))

rewrite46.0ms

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:

15.0ms	(- (* g g) (* h h))
15.0ms	(- (* g g) (* h h))
9.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* g g) (* h h))
42.0ms	(- (* g g) (* h h))
61.0ms	(sqrt (- (* g g) (* h h)))
74.0ms	(sqrt (- (* g g) (* h h)))

simplify4.7s

Counts

74 → 74

Iterations

Iter	Nodes
4	9006
3	1622
2	376
1	127
0	57

prune662.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 30.4b

localize59.0ms

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)))

rewrite59.0ms

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:

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

series233.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* g g) (* h h))
48.0ms	(- (* g g) (* h h))
60.0ms	(sqrt (- (* g g) (* h h)))
81.0ms	(sqrt (- (* g g) (* h h)))

simplify4.3s

Counts

74 → 74

Iterations

Iter	Nodes
4	9006
3	1622
2	376
1	127
0	57

prune543.0ms

Pruning

24 alts after pruning (22 fresh and 2 done)

Merged error: 30.4b

regimes1.4s

Accuracy

0% (1.8b remaining)

Error of 31.4b against oracle of 29.6b and baseline of 31.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	27
1	27
0	22

end0.0ms

sample7.4s

Algorithm

intervals

Results

2.5s	3663×	body	320	valid
2.5s	7671×	body	80	nan
1.9s	4193×	body	160	valid
29.0ms	144×	body	80	valid