Details

analyze3.0ms

Algorithm: search

sample26.0ms

Algorithm

intervals

Results

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

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	39	3
2	65	3
3	70	3
4	70	3

prune4.0ms

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(* 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:

9.0ms

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

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify101.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	146	114
1	738	100
2	4526	100
3	5001	100

prune46.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	5	28

Merged error: 0.0b

Counts

28 → 5

localize8.0ms

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:

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

series16.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* a (+ b c))
10.0ms	(+ (* a (+ b c)) (* a d))

simplify38.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	213	177
1	995	159
2	5002	156

prune58.0ms

Filtered

28 candidates to 43 candidates (-53.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	42	6	48

Merged error: 0b

Counts

48 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

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

series16.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* a b) (* a (+ c d)))
7.0ms	(* a (+ c d))

simplify38.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	214	178
1	982	158
2	5002	156

prune54.0ms

Filtered

30 candidates to 43 candidates (-43.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	43	6	49

Merged error: 0b

Counts

49 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

14.0ms	(+ (* (sqrt (* a (+ b c))) (sqrt (* a (+ b c)))) (* a d))
4.0ms	(sqrt (* a (+ b c)))
4.0ms	(sqrt (* a (+ b c)))
14.0ms	(* (sqrt (* a (+ b c))) (sqrt (* a (+ b c))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (* (sqrt (* a (+ b c))) (sqrt (* a (+ b c)))) (* a d))
15.0ms	(sqrt (* a (+ b c)))
15.0ms	(sqrt (* a (+ b c)))
7.0ms	(* (sqrt (* a (+ b c))) (sqrt (* a (+ b c))))

simplify54.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	278	607
1	1344	515
2	5002	488

prune85.0ms

Filtered

65 candidates to 106 candidates (-63.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	106	6	112

Merged error: 0b

Counts

112 → 6

regimes668.0ms

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	4
1	12	4

end0.0ms

analyze3.0ms

Algorithm: search

sample688.0ms

Algorithm

intervals

Results

305.0ms	8000×	pre	80	true
208.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample26.0ms

simplify9.0ms

prune4.0ms

localize6.0ms

rewrite9.0ms

series9.0ms

simplify101.0ms

prune46.0ms

localize8.0ms

rewrite13.0ms

series16.0ms

simplify38.0ms

prune58.0ms

localize7.0ms

rewrite13.0ms

series16.0ms

simplify38.0ms

prune54.0ms

localize10.0ms

rewrite41.0ms

series49.0ms

simplify54.0ms

prune85.0ms

regimes668.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample688.0ms

Profiling