Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	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

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: 0.0b

Counts

2 → 1

localize8.0ms

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

Counts

1 → 30

Calls

1 calls:

8.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify96.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	157	132
1	764	118
2	4456	118
3	5001	118

prune55.0ms

Filtered

33 candidates to 20 candidates (60.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	28	5	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	5	34

Merged error: 0.0b

Counts

34 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

17.0ms	(+ (* a d) (* a (+ b c)))
6.0ms	(* a (+ b c))

series56.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify37.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	229	210
1	1056	192
2	5001	189

prune99.0ms

Filtered

56 candidates to 37 candidates (66.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	56	5	61

Merged error: 0.0b

Counts

61 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

6.0ms	(* a (+ c d))
17.0ms	(+ (* a b) (* a (+ c d)))

series56.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	229	212
1	1026	192
2	5002	190

prune101.0ms

Filtered

56 candidates to 37 candidates (66.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	55	6	61

Merged error: 0b

Counts

61 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ b c))
0.0b	(+ (* a d) (* (* a (sqrt (+ b c))) (sqrt (+ b c))))
0.3b	(* a (sqrt (+ b c)))
0.4b	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

5.0ms	(sqrt (+ b c))
29.0ms	(+ (* a d) (* (* a (sqrt (+ b c))) (sqrt (+ b c))))
7.0ms	(* a (sqrt (+ b c)))
15.0ms	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (+ b c))
47.0ms	(+ (* a d) (* (* a (sqrt (+ b c))) (sqrt (+ b c))))
65.0ms	(* a (sqrt (+ b c)))
46.0ms	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

simplify59.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	471	859
1	2026	697
2	5003	673

prune244.0ms

Filtered

126 candidates to 80 candidates (63.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	126	6	132

Merged error: 0b

Counts

132 → 6

regimes120.0ms

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

sample540.0ms

Algorithm

intervals

Results

185.0ms	8000×	pre	80	true
162.0ms	8000×	body	80	valid