Details

sample216.0ms

Algorithm

intervals

Results

68.0ms	127×	body	160	valid
67.0ms	122×	body	320	valid
51.0ms	270×	body	80	nan
1.0ms	7×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
5	2018
4	871
3	351
2	114
1	44
0	19

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.1b

localize40.0ms

Local error

Found 4 expressions with local error:

7.3b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
8.3b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
30.8b	(sqrt (- (* g g) (* h h)))
30.8b	(sqrt (- (* g g) (* h h)))

rewrite120.0ms

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` `insert-posit16` `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 → 64

Calls

4 calls:

54.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
37.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
14.0ms	(sqrt (- (* g g) (* h h)))
14.0ms	(sqrt (- (* g g) (* h h)))

series915.0ms

Counts

4 → 12

Calls

4 calls:

384.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
397.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
62.0ms	(sqrt (- (* g g) (* h h)))
72.0ms	(sqrt (- (* g g) (* h h)))

simplify5.1s

Counts

76 → 76

Iterations

Iter	Nodes
3	4201
2	1164
1	389
0	165

prune1.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 31.8b

localize58.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (* g g) (* h h))
7.3b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
30.8b	(sqrt (- (* g g) (* h h)))
30.8b	(sqrt (- (* g g) (* h h)))

rewrite69.0ms

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` `insert-posit16`
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 → 63

Calls

4 calls:

8.0ms	(- (* g g) (* h h))
39.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
14.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* g g) (* h h))
417.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
63.0ms	(sqrt (- (* g g) (* h h)))
64.0ms	(sqrt (- (* g g) (* h h)))

simplify2.4s

Counts

75 → 75

Iterations

Iter	Nodes
3	3654
2	986
1	307
0	136

prune1.5s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 31.2b

localize72.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (* g g) (* h h))
3.6b	(- (* g g) (* h h))
30.8b	(sqrt (- (* g g) (* h h)))
30.8b	(sqrt (- (* g g) (* h h)))

rewrite48.0ms

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` `insert-posit16` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 62

Calls

4 calls:

7.0ms	(- (* g g) (* h h))
14.0ms	(- (* g g) (* h h))
20.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* g g) (* h h))
57.0ms	(- (* g g) (* h h))
70.0ms	(sqrt (- (* g g) (* h h)))
61.0ms	(sqrt (- (* g g) (* h h)))

simplify4.3s

Counts

74 → 74

Iterations

Iter	Nodes
4	9006
3	1622
2	376
1	127
0	57

prune1.5s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 31.2b

localize83.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (* g g) (* h h))
3.6b	(- (* g g) (* h h))
30.8b	(sqrt (- (* g g) (* h h)))
30.8b	(sqrt (- (* g g) (* h h)))

rewrite71.0ms

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` `insert-posit16` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 62

Calls

4 calls:

15.0ms	(- (* g g) (* h h))
25.0ms	(- (* g g) (* h h))
14.0ms	(sqrt (- (* g g) (* h h)))
14.0ms	(sqrt (- (* g g) (* h h)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* g g) (* h h))
48.0ms	(- (* g g) (* h h))
64.0ms	(sqrt (- (* g g) (* h h)))
66.0ms	(sqrt (- (* g g) (* h h)))

simplify4.6s

Counts

74 → 74

Iterations

Iter	Nodes
4	9006
3	1622
2	376
1	127
0	57

prune1.2s

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 31.2b

regimes1.4s

Accuracy

0% (2.2b remaining)

Error of 31.9b against oracle of 29.7b and baseline of 31.9b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	25
1	25
0	20

end0.0ms

sample7.4s

Algorithm

intervals

Results

2.8s	3841×	body	320	valid
2.1s	4017×	body	160	valid
2.1s	7989×	body	80	nan
27.0ms	142×	body	80	valid