Details

analyze434.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

sample66.0ms

Algorithm

intervals

Results

29.0ms	117×	body	320	valid
22.0ms	134×	body	160	valid
3.0ms	36×	body	80	nan
0.0ms	5×	body	80	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	374	37
1	374	37

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 35.5b

Counts

2 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

8.1b	(cbrt (* 1.0 (/ (- (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
8.6b	(cbrt (* 1.0 (/ (+ (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
28.7b	(sqrt (- (* g g) (* h h)))
28.7b	(sqrt (- (* g g) (* h h)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

11.0ms	(cbrt (* 1.0 (/ (- (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
10.0ms	(cbrt (* 1.0 (/ (+ (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series123.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(cbrt (* 1.0 (/ (- (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
54.0ms	(cbrt (* 1.0 (/ (+ (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

simplify39.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5088	862

prune216.0ms

Filtered

57 candidates to 64 candidates (-12.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	51	13	64
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	53	13	66

Merged error: 30.4b

Counts

66 → 13

localize21.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
8.1b	(cbrt (* 1.0 (/ (- (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
28.7b	(sqrt (- (* g g) (* h h)))
28.7b	(sqrt (- (* g g) (* h h)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`cbrt-prod` `sub-neg` `cbrt-div` `pow1/3` `diff-log` `associate-*r/`

Counts

4 → 54

Calls

4 calls:

4.0ms	(- (* g g) (* h h))
11.0ms	(cbrt (* 1.0 (/ (- (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series74.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* g g) (* h h))
55.0ms	(cbrt (* 1.0 (/ (- (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

simplify36.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5021	743

prune222.0ms

Filtered

55 candidates to 66 candidates (-20.0%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	62	17	79

Merged error: 29.9b

Counts

79 → 17

localize20.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
8.6b	(cbrt (* 1.0 (/ (+ (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
28.7b	(sqrt (- (* g g) (* h h)))
28.7b	(sqrt (- (* g g) (* h h)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`cbrt-prod` `sub-neg` `cbrt-div` `pow1/3` `diff-log` `associate-*r/`

Counts

4 → 54

Calls

4 calls:

4.0ms	(- (* g g) (* h h))
10.0ms	(cbrt (* 1.0 (/ (+ (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series73.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* g g) (* h h))
52.0ms	(cbrt (* 1.0 (/ (+ (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
9.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

simplify60.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4938	741
1	4938	741

prune233.0ms

Filtered

56 candidates to 66 candidates (-17.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	2	14	16
Picked	1	0	1
Done	0	0	0
Total	64	19	83

Merged error: 29.7b

Counts

83 → 19

localize27.0ms

Local error

Found 4 expressions with local error:

28.7b	(sqrt (- (* g g) (* h h)))
28.7b	(sqrt (- (* g g) (* h h)))
28.7b	(sqrt (- (* g g) (* h h)))
28.7b	(sqrt (- (* g g) (* h h)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-prod`
12×	`add-sqr-sqrt`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
4×	`add-exp-log` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `add-log-exp` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

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

series28.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify45.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5075	700

prune242.0ms

Filtered

64 candidates to 76 candidates (-18.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	3	15	18
Picked	1	0	1
Done	0	0	0
Total	77	18	95

Merged error: 29.7b

Counts

95 → 18

regimes715.0ms

Accuracy

81.5% (1.0b remaining)

Error of 31.8b against oracle of 30.8b and baseline of 36.2b

bsearch372.0ms

Steps

Iters	Range		Point
11	5.8231784121135e-180	1.1897650048059575e-160	4.5475614080349215e-163

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	84
1	54	84

end0.0ms

analyze428.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

sample2.0s

Algorithm

intervals

Results

933.0ms	3674×	body	320	valid
701.0ms	4156×	body	160	valid
99.0ms	1211×	body	80	nan
15.0ms	170×	body	80	valid

Details

analyze434.0ms

sample66.0ms

simplify8.0ms

prune15.0ms

localize19.0ms

rewrite30.0ms

series123.0ms

simplify39.0ms

prune216.0ms

localize21.0ms

rewrite23.0ms

series74.0ms

simplify36.0ms

prune222.0ms

localize20.0ms

rewrite23.0ms

series73.0ms

simplify60.0ms

prune233.0ms

localize27.0ms

rewrite17.0ms

series28.0ms

simplify45.0ms

prune242.0ms

regimes715.0ms

bsearch372.0ms

simplify1.0ms

end0.0ms

analyze428.0ms

sample2.0s

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