Details

sample70.0ms

Algorithm

intervals

Results

18.0ms	114×	body	320	valid
18.0ms	301×	body	80	nan
15.0ms	139×	body	160	valid
0.0ms	3×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	19	37
1	43	37
2	119	36
3	283	36
4	528	36
5	771	36
6	932	36
7	1131	36
8	2408	36
done	5000	36

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.2b

localize16.0ms

Local error

Found 4 expressions with local error:

7.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
8.8b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
33.5b	(sqrt (- (* g g) (* h h)))
33.5b	(sqrt (- (* g g) (* h h)))

rewrite47.0ms

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:

18.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
16.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
4.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series715.0ms

Counts

4 → 12

Calls

4 calls:

314.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
308.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
45.0ms	(sqrt (- (* g g) (* h h)))
48.0ms	(sqrt (- (* g g) (* h h)))

simplify2.1s

Counts

72 → 72

Iterations

Useful iterations: 3 (726.0ms)

Iter	Nodes	Cost
0	177	1390
1	385	1217
2	1262	1121
3	4849	1072
done	5000	1072

prune372.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 34.6b

localize19.0ms

Local error

Found 4 expressions with local error:

3.8b	(- (* g g) (* h h))
7.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
33.5b	(sqrt (- (* g g) (* h h)))
33.5b	(sqrt (- (* g g) (* h h)))

rewrite33.0ms

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:

2.0ms	(- (* g g) (* h h))
21.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series451.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* g g) (* h h))
320.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
49.0ms	(sqrt (- (* g g) (* h h)))
46.0ms	(sqrt (- (* g g) (* h h)))

simplify1.2s

Counts

71 → 71

Iterations

Useful iterations: 3 (371.0ms)

Iter	Nodes	Cost
0	135	1086
1	288	956
2	928	870
3	3643	859
done	5000	859

prune381.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 33.7b

localize20.0ms

Local error

Found 4 expressions with local error:

3.8b	(- (* g g) (* h h))
3.8b	(- (* g g) (* h h))
33.5b	(sqrt (- (* g g) (* h h)))
33.5b	(sqrt (- (* g g) (* h h)))

rewrite14.0ms

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:

2.0ms	(- (* g g) (* h h))
3.0ms	(- (* g g) (* h h))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* g g) (* h h))
31.0ms	(- (* g g) (* h h))
45.0ms	(sqrt (- (* g g) (* h h)))
52.0ms	(sqrt (- (* g g) (* h h)))

simplify709.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	55	808
1	122	744
2	381	640
3	1520	640
done	5000	640

prune589.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 33.7b

localize21.0ms

Local error

Found 4 expressions with local error:

3.8b	(- (* g g) (* h h))
3.8b	(- (* g g) (* h h))
33.5b	(sqrt (- (* g g) (* h h)))
33.5b	(sqrt (- (* g g) (* h h)))

rewrite13.0ms

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:

2.0ms	(- (* g g) (* h h))
2.0ms	(- (* g g) (* h h))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* g g) (* h h))
31.0ms	(- (* g g) (* h h))
49.0ms	(sqrt (- (* g g) (* h h)))
45.0ms	(sqrt (- (* g g) (* h h)))

simplify697.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	55	808
1	122	744
2	381	640
3	1520	640
done	5000	640

prune293.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 33.7b

regimes544.0ms

Accuracy

23.9% (1.3b remaining)

Error of 31.8b against oracle of 30.5b and baseline of 32.2b

bsearch127.0ms

Steps

Iters	Range		Point
8	-2.6274238018146333e-186	-4.889467702331972e-190	-2.5831109636145956e-186

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	66
1	38	66
done	38	66

end0.0ms

sample1.8s

Algorithm

intervals

Results

608.0ms	3771×	body	320	valid
445.0ms	4061×	body	160	valid
413.0ms	8066×	body	80	nan
9.0ms	168×	body	80	valid