Details

analyze4.0ms

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

sample12.0ms

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	24	6
1	24	6

prune3.0ms

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: 30.7b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

29.5b

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

rewrite7.0ms

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:

6.0ms

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

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4740	78
1	4740	78

prune31.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.2b

Counts

16 → 3

localize9.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (sqrt 2.0) (fabs x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-l`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-r` `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

(* (sqrt 2.0) (fabs x))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* (sqrt 2.0) (fabs x))

simplify34.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5128	163

prune44.0ms

Filtered

15 candidates to 25 candidates (-66.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	22	6	28

Merged error: 0.0b

Counts

28 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`sqrt-prod`
15×	`add-sqr-sqrt`
12×	`associate-l`
10×	`associate-r`
9×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`unswap-sqr`
2×	`*-commutative` `add-log-exp`

Counts

2 → 50

Calls

2 calls:

6.0ms	(* (fabs x) (sqrt (sqrt 2.0)))
9.0ms	(* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt 2.0))))

series9.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (fabs x) (sqrt (sqrt 2.0)))
4.0ms	(* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt 2.0))))

simplify51.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4988	406
1	4988	406

prune94.0ms

Filtered

34 candidates to 56 candidates (-64.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	56	6	62

Merged error: 0.0b

Counts

62 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

51×	`sqrt-prod`
24×	`associate-l`
23×	`add-sqr-sqrt`
19×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-r`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`unswap-sqr`
3×	`*-commutative` `add-log-exp`

Counts

3 → 84

Calls

3 calls:

8.0ms	(* (fabs x) (sqrt (sqrt (sqrt 2.0))))
10.0ms	(* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt (sqrt 2.0)))))
15.0ms	(* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt (sqrt 2.0))))))

series64.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(* (fabs x) (sqrt (sqrt (sqrt 2.0))))
36.0ms	(* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt (sqrt 2.0)))))
4.0ms	(* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt (sqrt 2.0))))))

simplify44.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4956	805
1	4956	805

prune172.0ms

Filtered

56 candidates to 93 candidates (-66.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	93	6	99

Merged error: 0b

Counts

99 → 6

regimes171.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	21
1	43	21

end0.0ms

sample287.0ms

Algorithm

intervals

Results

195.0ms

8000×

body

valid

Details

analyze4.0ms

sample12.0ms

simplify3.0ms

prune3.0ms

localize5.0ms

rewrite7.0ms

series10.0ms

simplify47.0ms

prune31.0ms

localize9.0ms

rewrite5.0ms

series5.0ms

simplify34.0ms

prune44.0ms

localize8.0ms

rewrite17.0ms

series9.0ms

simplify51.0ms

prune94.0ms

localize8.0ms

rewrite35.0ms

series64.0ms

simplify44.0ms

prune172.0ms

regimes171.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample287.0ms

Profiling