Details

analyze439.0ms

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

sample65.0ms

Algorithm

intervals

Results

26.0ms	105×	body	320	valid
25.0ms	149×	body	160	valid
3.0ms	32×	body	80	nan
0.0ms	2×	body	80	valid

simplify9.0ms

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: 36.6b

Counts

2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

8.5b	(cbrt (* 1.0 (/ (+ (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
9.0b	(cbrt (* 1.0 (/ (- (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
29.4b	(sqrt (- (* g g) (* h h)))
29.4b	(sqrt (- (* g g) (* h h)))

rewrite29.0ms

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:

10.0ms	(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)))

series122.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(cbrt (* 1.0 (/ (+ (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
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)))

simplify41.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5088	862

prune211.0ms

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: 31.1b

Counts

66 → 13

localize21.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (* g g) (* h h))
9.0b	(cbrt (* 1.0 (/ (- (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
29.4b	(sqrt (- (* g g) (* h h)))
29.4b	(sqrt (- (* g g) (* h h)))

rewrite22.0ms

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:

3.0ms	(- (* 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)))

series74.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* g g) (* h h))
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)))

simplify38.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5021	743

prune210.0ms

Filtered

55 candidates to 66 candidates (-20.0%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	63	16	79

Merged error: 30.2b

Counts

79 → 16

localize21.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (* g g) (* h h))
8.5b	(cbrt (* 1.0 (/ (+ (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
29.4b	(sqrt (- (* g g) (* h h)))
29.4b	(sqrt (- (* g g) (* h h)))

rewrite22.0ms

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:

3.0ms	(- (* 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)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* g g) (* h h))
53.0ms	(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)))

simplify59.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4938	741
1	4938	741

prune225.0ms

Filtered

56 candidates to 66 candidates (-17.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	3	12	15
Picked	1	0	1
Done	0	0	0
Total	64	18	82

Merged error: 29.9b

Counts

82 → 18

localize25.0ms

Local error

Found 4 expressions with local error:

29.4b	(sqrt (- (* g g) (* h h)))
29.4b	(sqrt (- (* g g) (* h h)))
29.4b	(sqrt (- (* g g) (* h h)))
29.4b	(sqrt (- (* g g) (* h h)))

rewrite18.0ms

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)))
5.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series27.0ms

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 (38.0ms)

Iter	Nodes	Cost
0	5075	700

prune232.0ms

Filtered

64 candidates to 76 candidates (-18.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	17	17
Picked	1	0	1
Done	0	0	0
Total	76	18	94

Merged error: 29.9b

Counts

94 → 18

regimes733.0ms

Accuracy

80.5% (1.1b remaining)

Error of 32.0b against oracle of 30.9b and baseline of 36.5b

bsearch340.0ms

Steps

Iters	Range		Point
10	-9.738584589395371e-159	-4.0228131566990983e-169	-2.216020169641673e-161

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	67
1	40	67

end0.0ms

analyze615.0ms

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

941.0ms	3710×	body	320	valid
705.0ms	4130×	body	160	valid
107.0ms	1251×	body	80	nan
14.0ms	160×	body	80	valid

Details

analyze439.0ms

sample65.0ms

simplify9.0ms

prune15.0ms

localize20.0ms

rewrite29.0ms

series122.0ms

simplify41.0ms

prune211.0ms

localize21.0ms

rewrite22.0ms

series74.0ms

simplify38.0ms

prune210.0ms

localize21.0ms

rewrite22.0ms

series72.0ms

simplify59.0ms

prune225.0ms

localize25.0ms

rewrite18.0ms

series27.0ms

simplify45.0ms

prune232.0ms

regimes733.0ms

bsearch340.0ms

simplify1.0ms

end0.0ms

analyze615.0ms

sample2.0s

Profiling