Details

analyze2.0ms

Algorithm: search

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify8.0ms

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

prune8.0ms

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

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))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify99.0ms

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

prune38.0ms

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

localize7.0ms

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))

simplify37.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (33.0ms)

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

prune49.0ms

Filtered

28 candidates to 43 candidates (-53.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	1	2	3
Picked	1	0	1
Done	1	0	1
Total	44	4	48

Merged error: 0b

Counts

48 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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

series16.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify36.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (32.0ms)

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

prune46.0ms

Filtered

30 candidates to 43 candidates (-43.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ b c))
0.0b	(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
0.3b	(* a (sqrt (+ b c)))
0.3b	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-r`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 82

Calls

4 calls:

3.0ms	(sqrt (+ b c))
11.0ms	(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
7.0ms	(* a (sqrt (+ b c)))
11.0ms	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (+ b c))
19.0ms	(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
13.0ms	(* a (sqrt (+ b c)))
16.0ms	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

simplify66.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	467	647
1	2275	555
2	5001	536

prune79.0ms

Filtered

65 candidates to 94 candidates (-44.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	94	4	98

Merged error: 0b

Counts

98 → 4

regimes380.0ms

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

analyze2.0ms

Algorithm: search

sample642.0ms

Algorithm

intervals

Results

284.0ms	8000×	pre	80	true
195.0ms	8000×	body	80	valid

Details

analyze2.0ms

sample24.0ms

simplify8.0ms

prune8.0ms

localize5.0ms

rewrite9.0ms

series9.0ms

simplify99.0ms

prune38.0ms

localize7.0ms

rewrite13.0ms

series16.0ms

simplify37.0ms

prune49.0ms

localize6.0ms

rewrite10.0ms

series16.0ms

simplify36.0ms

prune46.0ms

localize9.0ms

rewrite35.0ms

series54.0ms

simplify66.0ms

prune79.0ms

regimes380.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze2.0ms

sample642.0ms

Profiling