Details

sample204.0ms

Algorithm

intervals

Results

83.0ms	118×	body	320	valid
38.0ms	130×	body	160	valid
32.0ms	257×	body	80	nan
1.0ms	8×	body	80	valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	19	37
1	43	37
2	122	36
3	298	36
4	590	36
5	959	36
6	1294	36
7	1789	36
8	4192	36
done	5001	36

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.5b

localize79.0ms

Local error

Found 4 expressions with local error:

7.6b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
12.5b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
31.6b	(sqrt (- (* g g) (* h h)))
31.6b	(sqrt (- (* g g) (* h h)))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
4×	`add-exp-log` `frac-times` `sqrt-div` `associate-*r/` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3` `associate-*l/` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

68.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
112.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
21.0ms	(sqrt (- (* g g) (* h h)))
19.0ms	(sqrt (- (* g g) (* h h)))

series1.4s

Counts

4 → 12

Calls

4 calls:

580.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
590.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
97.0ms	(sqrt (- (* g g) (* h h)))
92.0ms	(sqrt (- (* g g) (* h h)))

simplify1.2s

Counts

72 → 72

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	177	1390
1	397	1227
2	1444	1129
done	5001	1096

prune993.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 33.6b

localize83.0ms

Local error

Found 4 expressions with local error:

3.8b	(- (* g g) (* h h))
7.6b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
31.6b	(sqrt (- (* g g) (* h h)))
31.6b	(sqrt (- (* g g) (* h h)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

18.0ms	(- (* g g) (* h h))
75.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
19.0ms	(sqrt (- (* g g) (* h h)))
19.0ms	(sqrt (- (* g g) (* h h)))

series846.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* g g) (* h h))
588.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
97.0ms	(sqrt (- (* g g) (* h h)))
90.0ms	(sqrt (- (* g g) (* h h)))

simplify1.4s

Counts

71 → 71

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	135	1112
1	321	991
2	1515	887
done	5000	869

prune1.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 32.7b

localize74.0ms

Local error

Found 4 expressions with local error:

3.8b	(- (* g g) (* h h))
3.8b	(- (* g g) (* h h))
31.6b	(sqrt (- (* g g) (* h h)))
31.6b	(sqrt (- (* g g) (* h h)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

15.0ms	(- (* g g) (* h h))
15.0ms	(- (* g g) (* h h))
17.0ms	(sqrt (- (* g g) (* h h)))
16.0ms	(sqrt (- (* g g) (* h h)))

series282.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* g g) (* h h))
58.0ms	(- (* g g) (* h h))
84.0ms	(sqrt (- (* g g) (* h h)))
88.0ms	(sqrt (- (* g g) (* h h)))

simplify650.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	55	808
1	141	744
2	653	640
done	5001	640

prune889.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 32.7b

localize72.0ms

Local error

Found 4 expressions with local error:

3.8b	(- (* g g) (* h h))
7.6b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
31.6b	(sqrt (- (* g g) (* h h)))
31.6b	(sqrt (- (* g g) (* h h)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

16.0ms	(- (* g g) (* h h))
74.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
21.0ms	(sqrt (- (* g g) (* h h)))
26.0ms	(sqrt (- (* g g) (* h h)))

series719.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (* g g) (* h h))
503.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
77.0ms	(sqrt (- (* g g) (* h h)))
76.0ms	(sqrt (- (* g g) (* h h)))

simplify1.3s

Counts

71 → 71

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	135	1112
1	321	991
2	1515	887
done	5000	869

prune838.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 32.7b

regimes2.0s

Accuracy

0% (1.6b remaining)

Error of 32.1b against oracle of 30.5b and baseline of 32.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	38
1	24	38
done	24	38

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.5s	4139×	body	160	valid
2.1s	3702×	body	320	valid
1.5s	8023×	body	80	nan
24.0ms	159×	body	80	valid