Details

sample223.0ms

Algorithm

intervals

Results

73.0ms	129×	body	160	valid
68.0ms	120×	body	320	valid
51.0ms	286×	body	80	nan
1.0ms	7×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	4290
3	549
2	125
1	46
0	19

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 38.6b

localize43.0ms

Local error

Found 4 expressions with local error:

9.0b	(cbrt (* (+ g (sqrt (- (* g g) (* h h)))) (/ -1/2 a)))
9.4b	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
30.8b	(sqrt (- (* g g) (* h h)))
30.8b	(sqrt (- (* g g) (* h h)))

rewrite52.0ms

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×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `pow1/3` `associate-*l/` `flip-+` `flip--`
1×	`associate-*r/` `associate-/r/`

Counts

4 → 142

Calls

4 calls:

12.0ms	(cbrt (* (+ g (sqrt (- (* g g) (* h h)))) (/ -1/2 a)))
21.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
7.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

series771.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(cbrt (* (+ g (sqrt (- (* g g) (* h h)))) (/ -1/2 a)))
339.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
80.0ms	(sqrt (- (* g g) (* h h)))
71.0ms	(sqrt (- (* g g) (* h h)))

simplify1.9s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
2	3087
1	880
0	410

prune1.1s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 31.6b

localize69.0ms

Local error

Found 4 expressions with local error:

5.0b	(- (* g g) (* h h))
9.0b	(cbrt (* (+ g (sqrt (- (* g g) (* h h)))) (/ -1/2 a)))
30.8b	(sqrt (- (* g g) (* h h)))
30.8b	(sqrt (- (* g g) (* h h)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
5×	`cbrt-div`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*l/` `flip-+`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*r/`

Counts

4 → 63

Calls

4 calls:

13.0ms	(- (* g g) (* h h))
12.0ms	(cbrt (* (+ g (sqrt (- (* g g) (* h h)))) (/ -1/2 a)))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series436.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* g g) (* h h))
287.0ms	(cbrt (* (+ g (sqrt (- (* g g) (* h h)))) (/ -1/2 a)))
54.0ms	(sqrt (- (* g g) (* h h)))
59.0ms	(sqrt (- (* g g) (* h h)))

simplify1.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
2	1306
1	347
0	157

prune829.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 31.2b

localize59.0ms

Local error

Found 4 expressions with local error:

5.0b	(- (* g g) (* h h))
5.0b	(- (* g g) (* h h))
30.8b	(sqrt (- (* g g) (* h h)))
30.8b	(sqrt (- (* g g) (* h h)))

rewrite39.0ms

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))
8.0ms	(- (* g g) (* h h))
12.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (* g g) (* h h))
50.0ms	(- (* g g) (* h h))
75.0ms	(sqrt (- (* g g) (* h h)))
66.0ms	(sqrt (- (* g g) (* h h)))

simplify664.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	700
1	144
0	57

prune678.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 31.2b

localize59.0ms

Local error

Found 4 expressions with local error:

5.0b	(- (* g g) (* h h))
5.0b	(- (* g g) (* h h))
30.8b	(sqrt (- (* g g) (* h h)))
30.8b	(sqrt (- (* g g) (* h h)))

rewrite37.0ms

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:

13.0ms	(- (* g g) (* h h))
8.0ms	(- (* g g) (* h h))
7.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (* g g) (* h h))
35.0ms	(- (* g g) (* h h))
76.0ms	(sqrt (- (* g g) (* h h)))
86.0ms	(sqrt (- (* g g) (* h h)))

simplify818.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	700
1	144
0	57

prune710.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 31.2b

regimes976.0ms

Accuracy

0% (2.0b remaining)

Error of 32.1b against oracle of 30.2b and baseline of 32.1b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	24
1	24
0	20

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.3s	3805×	body	320	valid
2.4s	8083×	body	80	nan
1.8s	4059×	body	160	valid
26.0ms	136×	body	80	valid