Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	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	5	6
1	5	6

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

localize10.0ms

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:

2.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4940	197
1	4940	197

prune33.0ms

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 3 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

14×	`exp-prod`
13×	`add-sqr-sqrt`
12×	`sqrt-prod`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`log-pow`
5×	`pow1`
4×	`add-log-exp`
3×	`add-exp-log` `log-prod` `add-cbrt-cube` `difference-of-squares`
2×	`sqrt-div`
1×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `rem-log-exp` `flip--` `rem-exp-log`

Counts

3 → 50

Calls

3 calls:

4.0ms	(exp (sqrt (- 1.0 (* x x))))
2.0ms	(sqrt (- 1.0 (* x x)))
4.0ms	(log (exp (sqrt (- 1.0 (* x x)))))

series16.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(exp (sqrt (- 1.0 (* x x))))
4.0ms	(sqrt (- 1.0 (* x x)))
7.0ms	(log (exp (sqrt (- 1.0 (* x x)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4955	565
1	4955	565

prune91.0ms

Filtered

45 candidates to 59 candidates (-31.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	59	3	62

Merged error: 0b

Counts

62 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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:

6.0ms	(sqrt (cbrt (- 1.0 (* x x))))
7.0ms	(* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))
2.0ms	(cbrt (- 1.0 (* x x)))
2.0ms	(cbrt (- 1.0 (* x x)))

series66.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (cbrt (- 1.0 (* x x))))
20.0ms	(* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))
12.0ms	(cbrt (- 1.0 (* x x)))
22.0ms	(cbrt (- 1.0 (* x x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4924	1301
1	4924	1301

prune193.0ms

Filtered

78 candidates to 90 candidates (-15.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	90	3	93

Merged error: 0b

Counts

93 → 3

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	5	6

end0.0ms

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample260.0ms

Algorithm

intervals

Results

181.0ms

8000×

body

valid

Details

analyze4.0ms

sample11.0ms

simplify3.0ms

prune2.0ms

localize10.0ms

rewrite3.0ms

series4.0ms

simplify45.0ms

prune33.0ms

localize8.0ms

rewrite11.0ms

series16.0ms

simplify53.0ms

prune91.0ms

localize7.0ms

rewrite22.0ms

series66.0ms

simplify68.0ms

prune193.0ms

regimes96.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample260.0ms

Profiling