Details

analyze13.0ms

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

sample19.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify687.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5496	6

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 33.6b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

32.3b

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

5.0ms

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

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

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

simplify48.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5069	100

prune48.0ms

Filtered

12 candidates to 13 candidates (-8.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	8	5	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	8	6	14

Merged error: 17.7b

Counts

14 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (sqrt 2.0) (pow x 1.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
7×	`associate-r`
6×	`add-exp-log` `associate-l` `sqrt-prod` `unswap-sqr`
5×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
3×	`prod-exp` `add-cbrt-cube` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

6.0ms

(* (sqrt 2.0) (pow x 1.0))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(* (sqrt 2.0) (pow x 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5061	305

prune72.0ms

Filtered

20 candidates to 34 candidates (-70.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	31	9	40

Merged error: 17.7b

Counts

40 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (pow x 1.0) (sqrt (sqrt 2.0)))
0.3b	(* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt 2.0))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 62

Calls

2 calls:

7.0ms	(* (pow x 1.0) (sqrt (sqrt 2.0)))
10.0ms	(* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt 2.0))))

series121.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* (pow x 1.0) (sqrt (sqrt 2.0)))
60.0ms	(* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt 2.0))))

simplify69.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4863	655
1	4863	655

prune136.0ms

Filtered

41 candidates to 68 candidates (-65.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	66	11	77

Merged error: 17.7b

Counts

77 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (pow x 1.0) (sqrt (sqrt (sqrt 2.0))))
0.3b	(* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt (sqrt 2.0)))))
0.3b	(* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt (sqrt 2.0))))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

63×	`sqrt-prod`
36×	`add-sqr-sqrt`
34×	`add-exp-log`
28×	`associate-l`
22×	`prod-exp`
19×	`add-cbrt-cube`
16×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-r`
12×	`unswap-sqr`
10×	`pow1` `cbrt-unprod`
7×	`unpow-prod-down`
5×	`sqr-pow`
4×	`pow-prod-down`
3×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp`

Counts

3 → 99

Calls

3 calls:

9.0ms	(* (pow x 1.0) (sqrt (sqrt (sqrt 2.0))))
10.0ms	(* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt (sqrt 2.0)))))
15.0ms	(* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt (sqrt 2.0))))))

series221.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* (pow x 1.0) (sqrt (sqrt (sqrt 2.0))))
84.0ms	(* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt (sqrt 2.0)))))
60.0ms	(* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt (sqrt 2.0))))))

simplify69.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5201	1177

prune214.0ms

Filtered

66 candidates to 108 candidates (-63.6%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	6	7
Picked	0	1	1
Done	0	3	3
Total	107	12	119

Merged error: 17.7b

Counts

119 → 12

regimes426.0ms

Accuracy

98.6% (0.2b remaining)

Error of 15.5b against oracle of 15.2b and baseline of 31.3b

bsearch18.0ms

Steps

Iters	Range		Point
9	-6.429731566315822e-304	4.394327582231361e-307	1.18320777133784e-310

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	32
1	23	32

end0.0ms

sample439.0ms

Algorithm

intervals

Results

323.0ms

8000×

body

valid

Details

analyze13.0ms

sample19.0ms

simplify687.0ms

prune4.0ms

localize7.0ms

rewrite6.0ms

series84.0ms

simplify48.0ms

prune48.0ms

localize5.0ms

rewrite7.0ms

series58.0ms

simplify50.0ms

prune72.0ms

localize8.0ms

rewrite19.0ms

series121.0ms

simplify69.0ms

prune136.0ms

localize10.0ms

rewrite38.0ms

series221.0ms

simplify69.0ms

prune214.0ms

regimes426.0ms

bsearch18.0ms

simplify2.0ms

end0.0ms

sample439.0ms

Profiling