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

5.0ms

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

prune5.0ms

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: 31.5b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

30.3b

(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:

4.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4818	91
1	4818	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))

simplify29.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4888	133
1	4888	133

prune42.0ms

Filtered

14 candidates to 25 candidates (-78.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	23	8	31

Merged error: 0.1b

Counts

31 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

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

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:

5.0ms	(* x (sqrt (sqrt 2)))
9.0ms	(* (* 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)))

simplify56.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5070	343

prune76.0ms

Filtered

28 candidates to 56 candidates (-100.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
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))))

rewrite21.0ms

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))
12.0ms	(* (* x (pow (sqrt (sqrt 2)) 3/2)) (sqrt (sqrt (sqrt 2))))

series38.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify60.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4924	659
1	4924	659

prune109.0ms

Filtered

37 candidates to 67 candidates (-81.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	67	8	75

Merged error: 0.1b

Counts

75 → 8

regimes47.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 31.5b

bsearch11.0ms

Steps

Iters	Range		Point
9	-2.5030317015873653e-306	6.678033301088349e-305	8.3104626160278e-311

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	21
1	40	21

end0.0ms

sample263.0ms

Algorithm

intervals

Results

178.0ms

8000×

body

valid

Details

analyze3.0ms

sample11.0ms

simplify3.0ms

prune5.0ms

localize4.0ms

rewrite5.0ms

series4.0ms

simplify51.0ms

prune36.0ms

localize3.0ms

rewrite5.0ms

series4.0ms

simplify29.0ms

prune42.0ms

localize5.0ms

rewrite16.0ms

series10.0ms

simplify56.0ms

prune76.0ms

localize12.0ms

rewrite21.0ms

series38.0ms

simplify60.0ms

prune109.0ms

regimes47.0ms

bsearch11.0ms

simplify1.0ms

end0.0ms

sample263.0ms

Profiling