Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* a (+ (+ b c) d))

rewrite8.0ms

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))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify92.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

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

prune50.0ms

Filtered

27 candidates to 17 candidates (63.0%)

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: 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))

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-+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))

series56.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* a (+ b c))
32.0ms	(+ (* a (+ b c)) (* a d))

simplify37.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (31.0ms)

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

prune82.0ms

Filtered

43 candidates to 30 candidates (69.8%)

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `swap-sqr` `flip-+`
7×	`associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-+l+` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

6.0ms	(+ (* a (+ b c)) (* a d))
5.0ms	(sqrt (+ (* a (+ b c)) (* a d)))
5.0ms	(sqrt (+ (* a (+ b c)) (* a d)))
19.0ms	(* (sqrt (+ (* a (+ b c)) (* a d))) (sqrt (+ (* a (+ b c)) (* a d))))

series436.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* a (+ b c)) (* a d))
181.0ms	(sqrt (+ (* a (+ b c)) (* a d)))
184.0ms	(sqrt (+ (* a (+ b c)) (* a d)))
33.0ms	(* (sqrt (+ (* a (+ b c)) (* a d))) (sqrt (+ (* a (+ b c)) (* a d))))

simplify52.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	302	978
1	1439	875
2	5002	856

prune242.0ms

Filtered

118 candidates to 74 candidates (62.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	118	4	122

Merged error: 0b

Counts

122 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

5.0ms	(sqrt (+ (+ b c) d))
5.0ms	(sqrt (+ (+ b c) d))
9.0ms	(* a (sqrt (+ (+ b c) d)))
18.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(sqrt (+ (+ b c) d))
48.0ms	(sqrt (+ (+ b c) d))
78.0ms	(* a (sqrt (+ (+ b c) d)))
68.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify42.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	350	732
1	1442	633
2	5001	610

prune201.0ms

Filtered

103 candidates to 67 candidates (65.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	103	4	107

Merged error: 0b

Counts

107 → 4

regimes147.0ms

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

sample539.0ms

Algorithm

intervals

Results

186.0ms	8000×	pre	80	true
163.0ms	8000×	body	80	valid