Details

sample159.0ms

Algorithm

intervals

Results

52.0ms	117×	body	320	valid
36.0ms	137×	body	160	valid
30.0ms	244×	body	80	nan
0.0ms	2×	body	80	valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	19	37
1	43	37
2	122	36
3	298	36
4	584	36
5	947	36
6	1286	36
7	1834	36
8	4583	36
done	5000	36

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.8b

localize70.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
10.2b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
28.9b	(sqrt (- (* g g) (* h h)))
28.9b	(sqrt (- (* g g) (* h h)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

39.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
35.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
13.0ms	(sqrt (- (* g g) (* h h)))
15.0ms	(sqrt (- (* g g) (* h h)))

series1.0s

Counts

4 → 12

Calls

4 calls:

455.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
446.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
63.0ms	(sqrt (- (* g g) (* h h)))
73.0ms	(sqrt (- (* g g) (* h h)))

simplify669.0ms

Counts

72 → 72

Iterations

Useful iterations: done (666.0ms)

Iter	Nodes	Cost
0	166	1416
1	395	1249
2	1399	1135
done	5001	1090

prune758.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 30.8b

localize39.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
7.5b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
28.9b	(sqrt (- (* g g) (* h h)))
28.9b	(sqrt (- (* g g) (* h h)))

rewrite79.0ms

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` `flip3--` `flip--`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
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))
42.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
8.0ms	(sqrt (- (* g g) (* h h)))
13.0ms	(sqrt (- (* g g) (* h h)))

series657.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* g g) (* h h))
453.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
80.0ms	(sqrt (- (* g g) (* h h)))
76.0ms	(sqrt (- (* g g) (* h h)))

simplify721.0ms

Counts

71 → 71

Iterations

Useful iterations: done (719.0ms)

Iter	Nodes	Cost
0	135	1112
1	321	991
2	1538	887
done	5000	869

prune725.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 29.9b

localize81.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
2.6b	(- (* g g) (* h h))
28.9b	(sqrt (- (* g g) (* h h)))
28.9b	(sqrt (- (* g g) (* h h)))

rewrite49.0ms

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` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 58

Calls

4 calls:

7.0ms	(- (* g g) (* h h))
9.0ms	(- (* g g) (* h h))
15.0ms	(sqrt (- (* g g) (* h h)))
17.0ms	(sqrt (- (* g g) (* h h)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* g g) (* h h))
47.0ms	(- (* g g) (* h h))
65.0ms	(sqrt (- (* g g) (* h h)))
55.0ms	(sqrt (- (* g g) (* h h)))

simplify477.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	55	808
1	141	744
2	673	640
done	5000	640

prune845.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 29.8b

localize41.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
2.6b	(- (* g g) (* h h))
28.9b	(sqrt (- (* g g) (* h h)))
28.9b	(sqrt (- (* g g) (* h h)))

rewrite61.0ms

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` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 58

Calls

4 calls:

13.0ms	(- (* g g) (* h h))
13.0ms	(- (* g g) (* h h))
21.0ms	(sqrt (- (* g g) (* h h)))
12.0ms	(sqrt (- (* g g) (* h h)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* g g) (* h h))
40.0ms	(- (* g g) (* h h))
82.0ms	(sqrt (- (* g g) (* h h)))
80.0ms	(sqrt (- (* g g) (* h h)))

simplify535.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	55	808
1	141	744
2	673	640
done	5000	640

prune591.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 29.8b

regimes1.4s

Accuracy

0% (1.6b remaining)

Error of 32.3b against oracle of 30.7b and baseline of 32.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.2s	3716×	body	320	valid
1.6s	7969×	body	80	nan
1.1s	4127×	body	160	valid
18.0ms	157×	body	80	valid