Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample25.0ms

Algorithm

intervals

Results

10.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune6.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* a (+ (+ b c) d))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

8.0ms

(* a (+ (+ b c) d))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(* a (+ (+ b c) d))

simplify38.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4970	212
1	4970	212

prune42.0ms

Filtered

20 candidates to 27 candidates (-35.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* a (+ b c))
0.0b	(+ (* a (+ b c)) (* a d))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

5.0ms	(* a (+ b c))
6.0ms	(+ (* a (+ b c)) (* a d))

series17.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* a (+ b c))
9.0ms	(+ (* a (+ b c)) (* a d))

simplify47.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4966	321
1	4966	321

prune45.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	42	5	47

Merged error: 0b

Counts

47 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* a b) (* a (+ c d)))
0.0b	(* a (+ c d))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

4.0ms	(+ (* a b) (* a (+ c d)))
7.0ms	(* a (+ c d))

series15.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* a b) (* a (+ c d)))
6.0ms	(* a (+ c d))

simplify37.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5131	319

prune44.0ms

Filtered

30 candidates to 43 candidates (-43.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	43	5	48

Merged error: 0b

Counts

48 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (+ b (+ c d)))
0.1b	(sqrt (* a (+ b (+ c d))))
0.1b	(sqrt (* a (+ b (+ c d))))
0.5b	(* (sqrt (* a (+ b (+ c d)))) (sqrt (* a (+ b (+ c d)))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`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`
3×	`distribute-lft-out`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 107

Calls

4 calls:

7.0ms	(* a (+ b (+ c d)))
6.0ms	(sqrt (* a (+ b (+ c d))))
6.0ms	(sqrt (* a (+ b (+ c d))))
16.0ms	(* (sqrt (* a (+ b (+ c d)))) (sqrt (* a (+ b (+ c d)))))

series136.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* a (+ b (+ c d)))
60.0ms	(sqrt (* a (+ b (+ c d))))
60.0ms	(sqrt (* a (+ b (+ c d))))
8.0ms	(* (sqrt (* a (+ b (+ c d)))) (sqrt (* a (+ b (+ c d)))))

simplify27.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5039	1233

prune84.0ms

Filtered

71 candidates to 119 candidates (-67.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	119	5	124

Merged error: 0b

Counts

124 → 5

regimes282.0ms

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	12	9
1	12	9

end0.0ms

sample692.0ms

Algorithm

intervals

Results

311.0ms	8000×	pre	80	true
197.0ms	8000×	body	80	valid

Details

analyze2.0ms

sample25.0ms

simplify3.0ms

prune6.0ms

localize5.0ms

rewrite9.0ms

series8.0ms

simplify38.0ms

prune42.0ms

localize6.0ms

rewrite13.0ms

series17.0ms

simplify47.0ms

prune45.0ms

localize6.0ms

rewrite12.0ms

series15.0ms

simplify37.0ms

prune44.0ms

localize8.0ms

rewrite38.0ms

series136.0ms

simplify27.0ms

prune84.0ms

regimes282.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample692.0ms

Profiling