Details

analyze6.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0.1%	14

sample16.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 32.7b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

31.6b

(sqrt (* (* 2.0 x) x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1`
3×	`sqrt-pow1` `pow-prod-down`
1×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/2` `sqrt-prod` `add-cbrt-cube` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

3.0ms

(sqrt (* (* 2.0 x) x))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(sqrt (* (* 2.0 x) x))

simplify110.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4763	80
1	4763	80

prune33.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	11	4	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	5	16

Merged error: 0.2b

Counts

16 → 5

localize3.0ms

Local error

Found 1 expressions with local error:

0.5b	(* x (sqrt 2.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (sqrt 2.0))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* x (sqrt 2.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4982	133
1	4982	133

prune39.0ms

Filtered

14 candidates to 25 candidates (-78.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	23	7	30

Merged error: 0.1b

Counts

30 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (sqrt (sqrt 2.0)))
0.3b	(* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

21×	`sqrt-prod`
18×	`associate-r`
15×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`unswap-sqr`
2×	`*-commutative` `add-log-exp`

Counts

2 → 50

Calls

2 calls:

6.0ms	(* x (sqrt (sqrt 2.0)))
9.0ms	(* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* x (sqrt (sqrt 2.0)))
4.0ms	(* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5009	343

prune71.0ms

Filtered

27 candidates to 56 candidates (-107.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	56	7	63

Merged error: 0.1b

Counts

63 → 7

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (pow (sqrt (sqrt 2.0)) 3/2))
0.3b	(* (* x (pow (sqrt (sqrt 2.0)) 3/2)) (sqrt (sqrt (sqrt 2.0))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
25×	`associate-r`
20×	`add-sqr-sqrt`
17×	`add-exp-log`
12×	`unpow-prod-down`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`prod-exp`
9×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1` `associate-l` `cbrt-unprod`
2×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp` `sqr-pow`
1×	`pow-prod-down`

Counts

2 → 61

Calls

2 calls:

7.0ms	(* x (pow (sqrt (sqrt 2.0)) 3/2))
10.0ms	(* (* x (pow (sqrt (sqrt 2.0)) 3/2)) (sqrt (sqrt (sqrt 2.0))))

series38.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* x (pow (sqrt (sqrt 2.0)) 3/2))
4.0ms	(* (* x (pow (sqrt (sqrt 2.0)) 3/2)) (sqrt (sqrt (sqrt 2.0))))

simplify36.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4901	659
1	4901	659

prune107.0ms

Filtered

36 candidates to 67 candidates (-86.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	67	7	74

Merged error: 0.1b

Counts

74 → 7

regimes138.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 30.7b

bsearch21.0ms

Steps

Iters	Range		Point
9	-8.166177932877852e-303	2.4411841952727536e-308	-8.4461583732341e-311

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	21
1	23	21

end0.0ms

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0.1%	14

sample261.0ms

Algorithm

intervals

Results

178.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze6.0ms

sample16.0ms

simplify2.0ms

prune4.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify110.0ms

prune33.0ms

localize3.0ms

rewrite6.0ms

series4.0ms

simplify43.0ms

prune39.0ms

localize5.0ms

rewrite16.0ms

series10.0ms

simplify51.0ms

prune71.0ms

localize14.0ms

rewrite19.0ms

series38.0ms

simplify36.0ms

prune107.0ms

regimes138.0ms

bsearch21.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample261.0ms

Profiling