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	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: 30.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

29.1b

(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 (108.0ms)

Iter	Nodes	Cost
0	4675	80
1	4675	80

prune32.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Merged error: 0.2b

Counts

16 → 4

localize3.0ms

Local error

Found 1 expressions with local error:

0.4b	(* x (sqrt 2.0))

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:

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	4990	133
1	4990	133

prune32.0ms

Filtered

14 candidates to 25 candidates (-78.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	24	5	29

Merged error: 0.1b

Counts

29 → 5

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)))

simplify52.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5078	343

prune66.0ms

Filtered

28 candidates to 56 candidates (-100.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	56	5	61

Merged error: 0.1b

Counts

61 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 27

Calls

1 calls:

6.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4931	241
1	4931	241

prune28.0ms

Filtered

19 candidates to 30 candidates (-57.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	30	5	35

Merged error: 0.1b

Counts

35 → 5

regimes118.0ms

Accuracy

99.1% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 30.4b

bsearch12.0ms

Steps

Iters	Range		Point
10	-6.810422911027253e-303	1.5585031842818654e-298	-2.8259720265258e-310

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	16
1	38	16

end0.0ms

sample261.0ms

Algorithm

intervals

Results

178.0ms

8000×

body

valid

Details

analyze3.0ms

sample11.0ms

simplify3.0ms

prune4.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify110.0ms

prune32.0ms

localize3.0ms

rewrite5.0ms

series4.0ms

simplify43.0ms

prune32.0ms

localize5.0ms

rewrite16.0ms

series10.0ms

simplify52.0ms

prune66.0ms

localize5.0ms

rewrite7.0ms

series6.0ms

simplify39.0ms

prune28.0ms

regimes118.0ms

bsearch12.0ms

simplify1.0ms

end0.0ms

sample261.0ms

Profiling