Details

sample19.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0.07323%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results

10.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	11	3
2	11	3

prune2.0ms

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: 30.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (* x x))
29.7b	(sqrt (* 2.0 (* x x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

5.0ms	(* 2.0 (* x x))
6.0ms	(sqrt (* 2.0 (* x x)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* 2.0 (* x x))
10.0ms	(sqrt (* 2.0 (* x x)))

simplify135.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	106	119
1	353	102
2	1078	102
3	4159	102
4	5002	102

prune53.0ms

Filtered

23 candidates to 37 candidates (-60.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Merged error: 0.3b

Counts

38 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (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:

4.0ms

(* (sqrt 2.0) (fabs x))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* (sqrt 2.0) (fabs x))

simplify55.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	65	115
1	225	107
2	522	107
3	810	107
4	1934	107
5	5002	107

prune46.0ms

Filtered

15 candidates to 25 candidates (-66.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	23	7	30

Merged error: 0.0b

Counts

30 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

5.0ms	(* (cbrt (sqrt 2.0)) (fabs x))
10.0ms	(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs x)))

series28.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify126.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	156	464
1	671	347
2	4050	308
3	5001	296

prune103.0ms

Filtered

32 candidates to 54 candidates (-68.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	53	8	61

Merged error: 0.0b

Counts

61 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

5.0ms	(* (sqrt (sqrt 2.0)) (fabs x))
8.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (fabs x)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify67.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	125	357
1	515	305
2	1460	305
3	2281	305
4	5002	305

prune77.0ms

Filtered

33 candidates to 56 candidates (-69.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	4	0	4
Picked	0	1	1
Done	2	1	3
Total	60	4	64

Merged error: 0b

Counts

64 → 4

regimes37.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	12	12

end0.0ms

sample271.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0.07323%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results

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

Details

sample19.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite12.0ms

series13.0ms

simplify135.0ms

prune53.0ms

localize4.0ms

rewrite5.0ms

series5.0ms

simplify55.0ms

prune46.0ms

localize8.0ms

rewrite16.0ms

series28.0ms

simplify126.0ms

prune103.0ms

localize6.0ms

rewrite15.0ms

series9.0ms

simplify67.0ms

prune77.0ms

regimes37.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample271.0ms

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