Details

analyze2.0ms

Algorithm

Search

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

sample25.0ms

Algorithm

intervals

Results

10.0ms	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

prune10.0ms

Filtered

1 candidates to 1 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 → 2

localize9.0ms

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)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5038	212

prune45.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	24	5	29

Merged error: 0b

Counts

29 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

4.0ms	(+ (* a b) (* a (+ c d)))
6.0ms	(* a (+ c d))

series16.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* a b) (* a (+ c d)))
6.0ms	(* a (+ c d))

simplify36.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5131	319

prune54.0ms

Filtered

30 candidates to 43 candidates (-43.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	44	4	48

Merged error: 0b

Counts

48 → 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))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+r+`

Counts

2 → 26

Calls

2 calls:

6.0ms	(+ (* a b) (+ (* a c) (* a d)))
4.0ms	(+ (* a c) (* a d))

series17.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* a b) (+ (* a c) (* a d)))
7.0ms	(+ (* a c) (* a d))

simplify34.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5313	277

prune41.0ms

Filtered

24 candidates to 32 candidates (-33.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (+ b (+ c d)))
0.1b	(sqrt (* a (+ b (+ c d))))
0.1b	(sqrt (* a (+ b (+ c d))))
0.5b	(* (sqrt (* a (+ b (+ c d)))) (sqrt (* a (+ b (+ c d)))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

8.0ms	(* a (+ b (+ c d)))
6.0ms	(sqrt (* a (+ b (+ c d))))
6.0ms	(sqrt (* a (+ b (+ c d))))
16.0ms	(* (sqrt (* a (+ b (+ c d)))) (sqrt (* a (+ b (+ c d)))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* a (+ b (+ c d)))
62.0ms	(sqrt (* a (+ b (+ c d))))
60.0ms	(sqrt (* a (+ b (+ c d))))
9.0ms	(* (sqrt (* a (+ b (+ c d)))) (sqrt (* a (+ b (+ c d)))))

simplify26.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5039	1233

prune89.0ms

Filtered

70 candidates to 119 candidates (-70.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	119	4	123

Merged error: 0b

Counts

123 → 4

regimes221.0ms

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	14	11
1	14	11

end0.0ms

sample686.0ms

Algorithm

intervals

Results

310.0ms	8000×	pre	80	true
186.0ms	8000×	body	80	valid

Details

analyze2.0ms

sample25.0ms

simplify3.0ms

prune10.0ms

localize9.0ms

rewrite8.0ms

series9.0ms

simplify46.0ms

prune45.0ms

localize7.0ms

rewrite10.0ms

series16.0ms

simplify36.0ms

prune54.0ms

localize7.0ms

rewrite10.0ms

series17.0ms

simplify34.0ms

prune41.0ms

localize8.0ms

rewrite41.0ms

series139.0ms

simplify26.0ms

prune89.0ms

regimes221.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample686.0ms

Profiling