Details

analyze66.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

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	(* (+ x 1.0) y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

6.0ms

(* (+ x 1.0) y)

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* (+ x 1.0) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5096	155

prune32.0ms

Filtered

15 candidates to 24 candidates (-60.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Merged error: 0b

Counts

25 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
0.2b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))
10.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series26.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (+ x 1.0))
7.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))
7.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5222	1033

prune171.0ms

Filtered

71 candidates to 107 candidates (-50.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) y)
0.0b	(sqrt (* (+ x 1.0) y))
0.0b	(sqrt (* (+ x 1.0) y))
0.2b	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 104

Calls

4 calls:

6.0ms	(* (+ x 1.0) y)
4.0ms	(sqrt (* (+ x 1.0) y))
5.0ms	(sqrt (* (+ x 1.0) y))
13.0ms	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (+ x 1.0) y)
12.0ms	(sqrt (* (+ x 1.0) y))
12.0ms	(sqrt (* (+ x 1.0) y))
13.0ms	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4949	843
1	4949	843

prune119.0ms

Filtered

67 candidates to 116 candidates (-73.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	116	3	119

Merged error: 0b

Counts

119 → 3

regimes109.0ms

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	18	7
1	18	7

end0.0ms

sample287.0ms

Algorithm

intervals

Results

169.0ms	8000×	body	80	valid
1.0ms	73×	body	80	invalid

Details

analyze66.0ms

sample12.0ms

simplify11.0ms

prune2.0ms

localize4.0ms

rewrite6.0ms

series5.0ms

simplify34.0ms

prune32.0ms

localize8.0ms

rewrite22.0ms

series26.0ms

simplify66.0ms

prune171.0ms

localize7.0ms

rewrite32.0ms

series44.0ms

simplify52.0ms

prune119.0ms

regimes109.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample287.0ms

Profiling