Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample24.0ms

Algorithm

intervals

Results

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

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 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))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4970	212
1	4970	212

prune47.0ms

Filtered

20 candidates to 27 candidates (-35.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	5	28

Merged error: 0b

Counts

28 → 5

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))

series17.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* a (+ b c))
9.0ms	(+ (* a (+ b c)) (* a d))

simplify45.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4966	321
1	4966	321

prune45.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Merged error: 0b

Counts

48 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `associate-l`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `associate-r` `sqrt-prod`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `add-log-exp` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

8.0ms	(* (+ b (+ c d)) (sqrt a))
11.0ms	(* (sqrt a) (* (+ b (+ c d)) (sqrt a)))

series31.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* (+ b (+ c d)) (sqrt a))
17.0ms	(* (sqrt a) (* (+ b (+ c d)) (sqrt a)))

simplify61.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4955	499
1	4955	499

prune52.0ms

Filtered

40 candidates to 55 candidates (-37.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0b

Counts

59 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ b (+ c d))) (cbrt (+ b (+ c d))))
0.6b	(cbrt (+ (+ b c) d))
0.6b	(cbrt (+ b (+ c d)))
0.6b	(cbrt (+ b (+ c d)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

15.0ms	(* (cbrt (+ b (+ c d))) (cbrt (+ b (+ c d))))
5.0ms	(cbrt (+ (+ b c) d))
5.0ms	(cbrt (+ b (+ c d)))
5.0ms	(cbrt (+ b (+ c d)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (cbrt (+ b (+ c d))) (cbrt (+ b (+ c d))))
41.0ms	(cbrt (+ (+ b c) d))
38.0ms	(cbrt (+ b (+ c d)))
38.0ms	(cbrt (+ b (+ c d)))

simplify45.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5063	1297

prune93.0ms

Filtered

77 candidates to 117 candidates (-51.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	117	4	121

Merged error: 0b

Counts

121 → 4

regimes284.0ms

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	9
1	12	9

end0.0ms

sample670.0ms

Algorithm

intervals

Results

299.0ms	8000×	pre	80	true
193.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample24.0ms

simplify3.0ms

prune6.0ms

localize5.0ms

rewrite8.0ms

series8.0ms

simplify36.0ms

prune47.0ms

localize6.0ms

rewrite12.0ms

series17.0ms

simplify45.0ms

prune45.0ms

localize10.0ms

rewrite20.0ms

series31.0ms

simplify61.0ms

prune52.0ms

localize13.0ms

rewrite34.0ms

series169.0ms

simplify45.0ms

prune93.0ms

regimes284.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample670.0ms

Profiling