Details

sample27.0ms

Algorithm

intervals

Results

10.0ms	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 (100.0%)

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))

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))

simplify113.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	155	132
1	747	118
2	4361	118
3	5003	118

prune41.0ms

Filtered

33 candidates to 20 candidates (39.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	5	34

Merged error: 0b

Counts

34 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

14.0ms	(+ (* a b) (* a (+ c d)))
6.0ms	(* a (+ c d))

series61.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* a b) (* a (+ c d)))
28.0ms	(* a (+ c d))

simplify41.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	221	212
1	989	192
2	5001	190

prune73.0ms

Filtered

56 candidates to 37 candidates (33.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	57	4	61

Merged error: 0b

Counts

61 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
35×	`distribute-lft-out`
27×	`associate-l`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`associate-r`
4×	`sum-log` `*-commutative`
3×	`+-commutative`
2×	`pow1` `add-exp-log` `associate-+r+` `distribute-rgt-out` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 49

Calls

2 calls:

23.0ms	(+ (* a b) (+ (* a c) (* a d)))
12.0ms	(+ (* a c) (* a d))

series66.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* a b) (+ (* a c) (* a d)))
33.0ms	(+ (* a c) (* a d))

simplify131.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	214	258
1	800	217
2	3545	208
3	5003	208

prune68.0ms

Filtered

55 candidates to 33 candidates (40.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	55	4	59

Merged error: 0b

Counts

59 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (* a b) (+ (* a c) (* a d)))) (cbrt (+ (* a b) (+ (* a c) (* a d)))))
0.6b	(cbrt (+ (* a b) (+ (* a c) (* a d))))
0.6b	(cbrt (+ (* a b) (+ (* a c) (* a d))))
0.6b	(cbrt (+ (* a b) (+ (* a c) (* a d))))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

812×	`*-un-lft-identity`
555×	`distribute-lft-out`
414×	`associate-l`
354×	`cbrt-prod`
133×	`swap-sqr`
44×	`add-sqr-sqrt`
42×	`associate-r`
36×	`add-cube-cbrt`
19×	`*-commutative`
18×	`cbrt-div`
11×	`pow1`
9×	`distribute-rgt-out` `flip3-+` `pow1/3` `flip-+`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 292

Calls

4 calls:

58.0ms	(* (cbrt (+ (* a b) (+ (* a c) (* a d)))) (cbrt (+ (* a b) (+ (* a c) (* a d)))))
21.0ms	(cbrt (+ (* a b) (+ (* a c) (* a d))))
25.0ms	(cbrt (+ (* a b) (+ (* a c) (* a d))))
21.0ms	(cbrt (+ (* a b) (+ (* a c) (* a d))))

series479.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (cbrt (+ (* a b) (+ (* a c) (* a d)))) (cbrt (+ (* a b) (+ (* a c) (* a d)))))
109.0ms	(cbrt (+ (* a b) (+ (* a c) (* a d))))
111.0ms	(cbrt (+ (* a b) (+ (* a c) (* a d))))
120.0ms	(cbrt (+ (* a b) (+ (* a c) (* a d))))

simplify81.0ms

Algorithm

egg-herbie

Counts

304 → 304

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	351	4144
1	1314	4011
2	5001	2799

prune257.0ms

Filtered

304 candidates to 97 candidates (68.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	304	0	304
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	304	4	308

Merged error: 0b

Counts

308 → 4

regimes146.0ms

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	10	3
1	10	3

end0.0ms

sample548.0ms

Algorithm

intervals

Results

186.0ms	8000×	pre	80	true
166.0ms	8000×	body	80	valid