Details

analyze65.0ms

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	642	11
1	642	11

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	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 (- y 1.0)) (* y 0.5))
0.0b	(* x (- y 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`sub-neg` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `associate--l+` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

6.0ms	(- (* x (- y 1.0)) (* y 0.5))
6.0ms	(* x (- y 1.0))

series10.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(- (* x (- y 1.0)) (* y 0.5))
5.0ms	(* x (- y 1.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4944	375
1	4944	375

prune53.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (cbrt (pow (* x (- y 1.0)) 3)) (* y 0.5))
0.0b	(* x (- y 1.0))
0.1b	(pow (* x (- y 1.0)) 3)
37.5b	(cbrt (pow (* x (- y 1.0)) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
5×	`associate-r`
4×	`cube-div` `flip3--` `flip--`
3×	`sub-neg` `pow-unpow` `associate-l`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `diff-log` `*-commutative` `rem-cbrt-cube` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

6.0ms	(- (cbrt (pow (* x (- y 1.0)) 3)) (* y 0.5))
6.0ms	(* x (- y 1.0))
6.0ms	(pow (* x (- y 1.0)) 3)
3.0ms	(cbrt (pow (* x (- y 1.0)) 3))

series23.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (cbrt (pow (* x (- y 1.0)) 3)) (* y 0.5))
5.0ms	(* x (- y 1.0))
7.0ms	(pow (* x (- y 1.0)) 3)
5.0ms	(cbrt (pow (* x (- y 1.0)) 3))

simplify37.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5319	775

prune115.0ms

Filtered

57 candidates to 90 candidates (-57.9%)

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (- y 1.0))
0.1b	(sqrt (* x (- y 1.0)))
0.1b	(sqrt (* x (- y 1.0)))
0.3b	(* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

6.0ms	(* x (- y 1.0))
4.0ms	(sqrt (* x (- y 1.0)))
4.0ms	(sqrt (* x (- y 1.0)))
13.0ms	(* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0))))

series27.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* x (- y 1.0))
8.0ms	(sqrt (* x (- y 1.0)))
8.0ms	(sqrt (* x (- y 1.0)))
7.0ms	(* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0))))

simplify55.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4935	891
1	4935	891

prune157.0ms

Filtered

68 candidates to 119 candidates (-75.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	3	122

Merged error: 0b

Counts

122 → 3

regimes147.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	47	11
1	47	11

end0.0ms

sample346.0ms

Algorithm

intervals

Results

228.0ms	7994×	body	80	valid
2.0ms	65×	body	80	invalid
0.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid

Details

analyze65.0ms

sample14.0ms

simplify21.0ms

prune5.0ms

localize7.0ms

rewrite13.0ms

series10.0ms

simplify47.0ms

prune53.0ms

localize13.0ms

rewrite23.0ms

series23.0ms

simplify37.0ms

prune115.0ms

localize9.0ms

rewrite32.0ms

series27.0ms

simplify55.0ms

prune157.0ms

regimes147.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample346.0ms

Profiling