Details

analyze3.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 50.048816%

Guaranteed chance to sample good point: 99.987787%

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (- 1.0 (* x x)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
1×	`add-exp-log` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `add-log-exp` `difference-of-squares`

Counts

1 → 16

Calls

1 calls:

3.0ms

(sqrt (- 1.0 (* x x)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(sqrt (- 1.0 (* x x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	157	124
1	536	122
2	2654	120
3	5001	119

prune41.0ms

Filtered

16 candidates to 19 candidates (-18.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	3	20

Merged error: 0b

Counts

20 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cbrt (- 1.0 (* x x))))
0.0b	(cbrt (- 1.0 (* x x)))
0.0b	(cbrt (- 1.0 (* x x)))
0.0b	(* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`cbrt-prod`
16×	`sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
8×	`cbrt-div`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `sqrt-div` `flip--` `add-log-exp` `difference-of-squares`
3×	`pow1/3` `associate-l` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `associate-*r/`
1×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 78

Calls

4 calls:

3.0ms	(sqrt (cbrt (- 1.0 (* x x))))
2.0ms	(cbrt (- 1.0 (* x x)))
2.0ms	(cbrt (- 1.0 (* x x)))
8.0ms	(* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))

series63.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (cbrt (- 1.0 (* x x))))
16.0ms	(cbrt (- 1.0 (* x x)))
13.0ms	(cbrt (- 1.0 (* x x)))
21.0ms	(* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	470	1024
1	1863	976
2	5001	961

prune250.0ms

Filtered

79 candidates to 90 candidates (-13.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	90	3	93

Merged error: 0b

Counts

93 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(pow (sqrt (- 1.0 (* x x))) 3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod` `add-sqr-sqrt` `sqrt-prod`
14×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `cube-prod`
6×	`pow1` `sqrt-div`
5×	`difference-of-squares`
4×	`add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `pow-pow` `flip--` `add-log-exp`
2×	`cube-mult` `cbrt-div` `sqrt-pow1` `pow1/2` `unpow3` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 83

Calls

3 calls:

5.0ms	(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
3.0ms	(sqrt (- 1.0 (* x x)))
5.0ms	(pow (sqrt (- 1.0 (* x x))) 3)

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
5.0ms	(sqrt (- 1.0 (* x x)))
8.0ms	(pow (sqrt (- 1.0 (* x x))) 3)

simplify47.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	339	591
1	1305	569
2	5002	553

prune108.0ms

Filtered

52 candidates to 92 candidates (-76.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	92	3	95

Merged error: 0b

Counts

95 → 3

regimes113.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	9	9

end0.0ms

analyze3.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 50.048816%

Guaranteed chance to sample good point: 99.987787%

sample293.0ms

Algorithm

intervals

Results

196.0ms

8000×

body

valid

Details

analyze3.0ms

sample12.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite3.0ms

series5.0ms

simplify88.0ms

prune41.0ms

localize8.0ms

rewrite18.0ms

series63.0ms

simplify61.0ms

prune250.0ms

localize7.0ms

rewrite15.0ms

series18.0ms

simplify47.0ms

prune108.0ms

regimes113.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze3.0ms

sample293.0ms

Profiling