Details

sample144.0ms

Algorithm

intervals

Results

32.0ms	109×	body	320	valid
27.0ms	145×	body	160	valid
24.0ms	266×	body	80	nan
0.0ms	2×	body	80	valid

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (20.0ms)

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.2b

localize40.0ms

Local error

Found 4 expressions with local error:

5.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
7.0b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
25.7b	(sqrt (- (* g g) (* h h)))
25.7b	(sqrt (- (* g g) (* h h)))

rewrite181.0ms

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:

71.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
74.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
19.0ms	(sqrt (- (* g g) (* h h)))
15.0ms	(sqrt (- (* g g) (* h h)))

series1.0s

Counts

4 → 12

Calls

4 calls:

432.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
478.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
68.0ms	(sqrt (- (* g g) (* h h)))
58.0ms	(sqrt (- (* g g) (* h h)))

simplify812.0ms

Counts

72 → 72

Iterations

Useful iterations: done (809.0ms)

Iter	Nodes	Cost
0	177	1390
1	397	1227
2	1442	1129
done	5000	1096

prune615.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 27.8b

localize34.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (* g g) (* h h))
5.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
25.7b	(sqrt (- (* g g) (* h h)))
25.7b	(sqrt (- (* g g) (* h h)))

rewrite114.0ms

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:

13.0ms	(- (* g g) (* h h))
76.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
11.0ms	(sqrt (- (* g g) (* h h)))
10.0ms	(sqrt (- (* g g) (* h h)))

series775.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* g g) (* h h))
567.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
89.0ms	(sqrt (- (* g g) (* h h)))
82.0ms	(sqrt (- (* g g) (* h h)))

simplify809.0ms

Counts

71 → 71

Iterations

Useful iterations: done (806.0ms)

Iter	Nodes	Cost
0	135	1086
1	310	968
2	1342	870
done	5001	863

prune742.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 27.4b

localize49.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (* g g) (* h h))
3.0b	(- (* g g) (* h h))
25.7b	(sqrt (- (* g g) (* h h)))
25.7b	(sqrt (- (* g g) (* h h)))

rewrite49.0ms

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:

9.0ms	(- (* g g) (* h h))
11.0ms	(- (* g g) (* h h))
17.0ms	(sqrt (- (* g g) (* h h)))
10.0ms	(sqrt (- (* g g) (* h h)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* g g) (* h h))
59.0ms	(- (* g g) (* h h))
55.0ms	(sqrt (- (* g g) (* h h)))
74.0ms	(sqrt (- (* g g) (* h h)))

simplify523.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (113.0ms)

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

prune615.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 27.4b

localize42.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (* g g) (* h h))
3.0b	(- (* g g) (* h h))
25.7b	(sqrt (- (* g g) (* h h)))
25.7b	(sqrt (- (* g g) (* h h)))

rewrite53.0ms

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:

10.0ms	(- (* g g) (* h h))
10.0ms	(- (* g g) (* h h))
20.0ms	(sqrt (- (* g g) (* h h)))
10.0ms	(sqrt (- (* g g) (* h h)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* g g) (* h h))
39.0ms	(- (* g g) (* h h))
58.0ms	(sqrt (- (* g g) (* h h)))
58.0ms	(sqrt (- (* g g) (* h h)))

simplify422.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (106.0ms)

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

prune385.0ms

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 27.4b

regimes998.0ms

Accuracy

0% (1.1b remaining)

Error of 32.2b against oracle of 31.1b and baseline of 32.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	38
1	25	38
done	25	38

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.7s	8069×	body	80	nan
1.1s	3668×	body	320	valid
1.1s	4192×	body	160	valid
12.0ms	140×	body	80	valid