Details

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

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	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 (* x (+ x x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1`
2×	`sqrt-pow1` `sqrt-div` `associate-*r/`
1×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `pow1/2` `pow-prod-down` `sqrt-prod` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

5.0ms

(sqrt (* x (+ x x)))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(sqrt (* x (+ x x)))

simplify80.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4825	91
1	4825	91

prune36.0ms

Filtered

13 candidates to 16 candidates (-23.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	11	5	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	6	17

Merged error: 0.2b

Counts

17 → 6

localize3.0ms

Local error

Found 1 expressions with local error:

0.5b	(* x (sqrt 2))

rewrite5.0ms

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:

4.0ms

(* x (sqrt 2))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* x (sqrt 2))

simplify39.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5094	133

prune39.0ms

Filtered

14 candidates to 25 candidates (-78.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	23	8	31

Merged error: 0.1b

Counts

31 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (sqrt (sqrt 2)))
0.3b	(* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2)))

rewrite15.0ms

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)))
8.0ms	(* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* x (sqrt (sqrt 2)))
4.0ms	(* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify55.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5068	343

prune76.0ms

Filtered

27 candidates to 56 candidates (-107.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	56	8	64

Merged error: 0.1b

Counts

64 → 8

localize12.0ms

Local error

Found 2 expressions with local error:

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

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

series40.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* x (pow (sqrt (sqrt 2)) 3/2))
6.0ms	(* (* x (pow (sqrt (sqrt 2)) 3/2)) (sqrt (sqrt (sqrt 2))))

simplify60.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4924	659
1	4924	659

prune114.0ms

Filtered

36 candidates to 67 candidates (-86.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	67	8	75

Merged error: 0.1b

Counts

75 → 8

regimes48.0ms

Accuracy

99.3% (0.2b remaining)

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

bsearch18.0ms

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

sample264.0ms

Algorithm

intervals

Results

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

Details

analyze3.0ms

sample11.0ms

simplify3.0ms

prune6.0ms

localize4.0ms

rewrite5.0ms

series4.0ms

simplify80.0ms

prune36.0ms

localize3.0ms

rewrite5.0ms

series4.0ms

simplify39.0ms

prune39.0ms

localize7.0ms

rewrite15.0ms

series10.0ms

simplify55.0ms

prune76.0ms

localize12.0ms

rewrite19.0ms

series40.0ms

simplify60.0ms

prune114.0ms

regimes48.0ms

bsearch18.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample264.0ms

Profiling