Details

sample24.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	4
1	53	4
2	151	4
3	313	4
4	419	4
5	425	4
6	425	4

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: 3.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.5b	(+ b (+ c d))
2.6b	(+ a (+ b (+ c d)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-log-exp`
9×	`sum-log` `distribute-lft-out`
8×	`associate-+r+`
6×	`fma-def`
5×	`+-commutative`
4×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

2 → 46

Calls

2 calls:

6.0ms	(+ b (+ c d))
8.0ms	(+ a (+ b (+ c d)))

series51.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ b (+ c d))
35.0ms	(+ a (+ b (+ c d)))

simplify92.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	185	171
1	699	162
2	4134	162
3	5001	162

prune84.0ms

Filtered

52 candidates to 38 candidates (26.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	43	9	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	9	53

Merged error: 1.5b

Counts

53 → 9

localize9.0ms

Local error

Found 1 expressions with local error:

2.6b	(+ a (+ (+ b c) d))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-log-exp`
6×	`sum-log` `distribute-lft-out`
4×	`associate-+r+`
3×	`+-commutative` `fma-def`
2×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l+`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 25

Calls

1 calls:

9.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	120	103
1	468	95
2	2974	95
3	5002	95

prune39.0ms

Filtered

28 candidates to 21 candidates (25.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	8	0	8
Picked	1	0	1
Done	0	0	0
Total	36	1	37

Merged error: 0b

Counts

37 → 1

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Merged error: 0b

Counts

1 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample569.0ms

Algorithm

intervals

Results

185.0ms	8000×	body	80	valid
182.0ms	8000×	pre	80	true