Details

sample25.0ms

Algorithm

intervals

Results

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

simplify25.0ms

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

prune3.0ms

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: 3.8b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.9b	(+ a (+ b (+ c d)))

rewrite20.0ms

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:

10.0ms	(+ b (+ c d))
9.0ms	(+ a (+ b (+ c d)))

series51.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ b (+ c d))
34.0ms	(+ a (+ b (+ c d)))

simplify100.0ms

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

prune91.0ms

Filtered

52 candidates to 38 candidates (73.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	42	10	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	10	53

Merged error: 1.5b

Counts

53 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ a (+ b d)) c)
0.9b	(+ a (+ b d))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

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

series54.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (+ a (+ b d)) c)
17.0ms	(+ a (+ b d))

simplify102.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	180	171
1	673	162
2	4182	161
3	5001	160

prune68.0ms

Filtered

54 candidates to 38 candidates (70.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	9	0	9
Picked	1	0	1
Done	0	0	0
Total	63	1	64

Merged error: 0b

Counts

64 → 1

localize7.0ms

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 (2.0ms)

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

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample582.0ms

Algorithm

intervals

Results

188.0ms	8000×	pre	80	true
183.0ms	8000×	body	80	valid