Details

analyze92.0ms

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

sample15.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

prune6.0ms

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: 28.6b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

26.9b

(sqrt (+ (* re re) (* im im)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

4.0ms

(sqrt (+ (* re re) (* im im)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(sqrt (+ (* re re) (* im im)))

simplify44.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4905	164
1	4905	164

prune33.0ms

Filtered

15 candidates to 18 candidates (-20.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Merged error: 8.0b

Counts

19 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (sqrt (+ (* re re) (* im im))) 3)
26.9b	(sqrt (+ (* re re) (* im im)))
37.8b	(cbrt (pow (sqrt (+ (* re re) (* im im))) 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
15×	`add-sqr-sqrt` `sqrt-prod`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod`
6×	`pow1` `sqrt-div`
4×	`add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `pow-pow` `flip3-+` `flip-+` `add-log-exp`
2×	`cube-mult` `cbrt-div` `sqrt-pow1` `pow1/2` `unpow3` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 78

Calls

3 calls:

5.0ms	(pow (sqrt (+ (* re re) (* im im))) 3)
6.0ms	(sqrt (+ (* re re) (* im im)))
5.0ms	(cbrt (pow (sqrt (+ (* re re) (* im im))) 3))

series26.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(pow (sqrt (+ (* re re) (* im im))) 3)
6.0ms	(sqrt (+ (* re re) (* im im)))
6.0ms	(cbrt (pow (sqrt (+ (* re re) (* im im))) 3))

simplify76.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4972	988
1	4972	988

prune99.0ms

Filtered

47 candidates to 87 candidates (-85.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Merged error: 8.0b

Counts

92 → 7

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune12.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	2	2
Total	7	7

Merged error: 8.0b

Counts

7 → 7

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	3	3
Total	7	7

Merged error: 8.0b

Counts

7 → 7

regimes483.0ms

Accuracy

59.4% (9.8b remaining)

Error of 17.7b against oracle of 7.9b and baseline of 32.1b

bsearch19.0ms

Steps

Iters	Range		Point
7	2.2583047514874147e+116	1.64909017479086e+118	1.1847833684373557e+118
7	-1.6243906384006054e+91	-1.635918534198423e+89	-1.6030379465267134e+91

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	19
1	21	19

end0.0ms

sample373.0ms

Algorithm

intervals

Results

242.0ms

8000×

body

valid

Details

analyze92.0ms

sample15.0ms

simplify3.0ms

prune6.0ms

localize5.0ms

rewrite4.0ms

series6.0ms

simplify44.0ms

prune33.0ms

localize9.0ms

rewrite18.0ms

series26.0ms

simplify76.0ms

prune99.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune12.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes483.0ms

bsearch19.0ms

simplify1.0ms

end0.0ms

sample373.0ms

Profiling