Details

sample65.0ms

Algorithm

intervals

Results

18.0ms	120×	body	320	valid
14.0ms	130×	body	160	valid
12.0ms	252×	body	80	nan
0.0ms	6×	body	80	valid

simplify6.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	19	37
1	43	37
2	122	36
3	297	36
4	583	36
5	891	36
6	1079	36
7	1300	36
8	2491	36
done	5000	36

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.6b

localize17.0ms

Local error

Found 4 expressions with local error:

8.0b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
8.2b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
31.8b	(sqrt (- (* g g) (* h h)))
31.8b	(sqrt (- (* g g) (* h h)))

rewrite97.0ms

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:

45.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
33.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
9.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))

series713.0ms

Counts

4 → 12

Calls

4 calls:

310.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
307.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
50.0ms	(sqrt (- (* g g) (* h h)))
46.0ms	(sqrt (- (* g g) (* h h)))

simplify641.0ms

Counts

72 → 72

Iterations

Useful iterations: done (639.0ms)

Iter	Nodes	Cost
0	177	1390
1	385	1217
2	1281	1121
done	5000	1072

prune565.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 33.4b

localize20.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
8.2b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
31.8b	(sqrt (- (* g g) (* h h)))
31.8b	(sqrt (- (* g g) (* h h)))

rewrite59.0ms

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:

7.0ms	(- (* g g) (* h h))
30.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
9.0ms	(sqrt (- (* g g) (* h h)))
11.0ms	(sqrt (- (* g g) (* h h)))

series431.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* g g) (* h h))
302.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
44.0ms	(sqrt (- (* g g) (* h h)))
48.0ms	(sqrt (- (* g g) (* h h)))

simplify1.7s

Counts

71 → 71

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	135	1112
1	294	991
2	968	887
3	3952	865
done	5000	855

prune377.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 32.7b

localize24.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
4.4b	(- (* g g) (* h h))
31.8b	(sqrt (- (* g g) (* h h)))
31.8b	(sqrt (- (* g g) (* h h)))

rewrite34.0ms

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:

8.0ms	(- (* g g) (* h h))
7.0ms	(- (* g g) (* h h))
9.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(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))
46.0ms	(sqrt (- (* g g) (* h h)))
51.0ms	(sqrt (- (* g g) (* h h)))

simplify2.3s

Counts

70 → 70

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	55	808
1	120	744
2	301	640
3	975	640
4	4860	640
done	5000	640

prune376.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 32.7b

localize18.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
8.2b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
31.8b	(sqrt (- (* g g) (* h h)))
31.8b	(sqrt (- (* g g) (* h h)))

rewrite59.0ms

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:

7.0ms	(- (* g g) (* h h))
30.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
8.0ms	(sqrt (- (* g g) (* h h)))
12.0ms	(sqrt (- (* g g) (* h h)))

series439.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (* g g) (* h h))
314.0ms	(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)))

simplify1.7s

Counts

71 → 71

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	135	1112
1	294	991
2	968	887
3	3952	865
done	5000	855

prune317.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 32.7b

regimes519.0ms

Accuracy

0% (1.7b remaining)

Error of 32.8b against oracle of 31.1b and baseline of 32.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	38
1	26	38
done	26	38

end0.0ms

sample1.9s

Algorithm

intervals

Results

578.0ms	3743×	body	320	valid
432.0ms	4103×	body	160	valid
397.0ms	8085×	body	80	nan
8.0ms	154×	body	80	valid