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

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

prune8.0ms

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: 32.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

30.7b

(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))

simplify105.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4675	80
1	4675	80

prune36.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	10	5	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	6	16

Merged error: 0.2b

Counts

16 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

0.5b	(* x (neg (sqrt 2.0)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-r`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
1×	`neg-mul-1` `pow-prod-down` `prod-exp` `*-commutative` `distribute-rgt-neg-out` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

6.0ms

(* x (neg (sqrt 2.0)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* x (neg (sqrt 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4786	196
1	4786	196

prune60.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	32	9	41

Merged error: 0.1b

Counts

41 → 9

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0)))))
0.3b	(* (* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
10×	`associate-r`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `distribute-rgt-neg-out`
3×	`sqrt-prod`
2×	`*-commutative` `add-log-exp`
1×	`distribute-lft-neg-out`

Counts

2 → 47

Calls

2 calls:

8.0ms	(* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0)))))
11.0ms	(* (* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

series39.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0)))))
5.0ms	(* (* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4894	335
1	4894	335

prune88.0ms

Filtered

30 candidates to 53 candidates (-76.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	53	9	62

Merged error: 0.1b

Counts

62 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

31×	`associate-r`
27×	`sqrt-prod`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `distribute-lft-neg-in` `distribute-rgt-neg-in` `add-cbrt-cube`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `distribute-rgt-neg-out` `add-log-exp`
1×	`distribute-lft-neg-out` `neg-mul-1` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

8.0ms	(* x (neg (sqrt (sqrt 2.0))))
9.0ms	(* (* x (neg (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* x (neg (sqrt (sqrt 2.0))))
5.0ms	(* (* x (neg (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4827	455
1	4827	455

prune95.0ms

Filtered

36 candidates to 69 candidates (-91.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	5	5
Picked	1	0	1
Done	1	2	3
Total	69	9	78

Merged error: 0.1b

Counts

78 → 9

regimes183.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 30.9b

bsearch15.0ms

Steps

Iters	Range		Point
10	-1.6683243321570982e-306	5.644963678948222e-295	-8.8024727853385e-311

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	27
1	70	27

end0.0ms

sample279.0ms

Algorithm

intervals

Results

187.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample11.0ms

simplify2.0ms

prune8.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify105.0ms

prune36.0ms

localize4.0ms

rewrite7.0ms

series5.0ms

simplify51.0ms

prune60.0ms

localize9.0ms

rewrite20.0ms

series39.0ms

simplify60.0ms

prune88.0ms

localize6.0ms

rewrite19.0ms

series12.0ms

simplify59.0ms

prune95.0ms

regimes183.0ms

bsearch15.0ms

simplify1.0ms

end0.0ms

sample279.0ms

Profiling