Details

analyze343.0ms

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

sample18.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4992	11
1	4992	11

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x z) y)
0.0b	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `associate-+r+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `flip3-+` `div-sub` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv`

Counts

2 → 51

Calls

2 calls:

5.0ms	(/ (- x z) y)
3.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ (- x z) y)
7.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

simplify40.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4964	583
1	4964	583

prune62.0ms

Filtered

42 candidates to 57 candidates (-35.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 0b

Counts

58 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x z) y)
0.0b	(* 4.0 (/ (- x z) y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 76

Calls

2 calls:

5.0ms	(/ (- x z) y)
9.0ms	(* 4.0 (/ (- x z) y))

series16.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ (- x z) y)
10.0ms	(* 4.0 (/ (- x z) y))

simplify45.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	6448	708

prune65.0ms

Filtered

56 candidates to 82 candidates (-46.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	82	2	84

Merged error: 0b

Counts

84 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- x z))
0.0b	(* 4.0 (/ 1 (/ y (- x z))))
0.7b	(/ 1 (/ y (- x z)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
185×	`add-sqr-sqrt`
173×	`*-un-lft-identity`
121×	`add-cube-cbrt`
68×	`associate-r`
35×	`add-exp-log`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
8×	`flip3--` `flip--`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 242

Calls

3 calls:

5.0ms	(/ y (- x z))
21.0ms	(* 4.0 (/ 1 (/ y (- x z))))
9.0ms	(/ 1 (/ y (- x z)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ y (- x z))
8.0ms	(* 4.0 (/ 1 (/ y (- x z))))
7.0ms	(/ 1 (/ y (- x z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4974	2633
1	4974	2633

prune201.0ms

Filtered

159 candidates to 251 candidates (-57.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	251	0	251
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	251	2	253

Merged error: 0b

Counts

253 → 2

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	21	9
1	21	9

end0.0ms

sample537.0ms

Algorithm

intervals

Results

306.0ms	8000×	body	80	valid
34.0ms	945×	body	80	invalid

Details

analyze343.0ms

sample18.0ms

simplify66.0ms

prune9.0ms

localize7.0ms

rewrite10.0ms

series13.0ms

simplify40.0ms

prune62.0ms

localize6.0ms

rewrite18.0ms

series16.0ms

simplify45.0ms

prune65.0ms

localize7.0ms

rewrite50.0ms

series22.0ms

simplify52.0ms

prune201.0ms

regimes109.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample537.0ms

Profiling