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 (1.0ms)

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: 3.7b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.7b	(+ a (+ b (+ c d)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

10.0ms	(+ b (+ c d))
14.0ms	(+ a (+ b (+ c d)))

series59.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ b (+ c d))
44.0ms	(+ a (+ b (+ c d)))

simplify84.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	180	164
1	707	155
2	4320	155
3	5001	155

prune108.0ms

Filtered

48 candidates to 34 candidates (70.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	39	9	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	9	49

Merged error: 2.2b

Counts

49 → 9

localize11.0ms

Local error

Found 1 expressions with local error:

2.7b	(+ a (+ (+ b c) d))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

14.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify71.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	117	100
1	484	92
2	3174	92
3	5002	92

prune77.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	17	8	25
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	21	13	34

Merged error: 2.0b

Counts

34 → 13

localize7.0ms

Local error

Found 1 expressions with local error:

2.7b	(+ a (+ (+ b c) d))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

9.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify86.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	117	100
1	484	92
2	3174	92
3	5002	92

prune77.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	5	7	12
Picked	0	1	1
Done	0	0	0
Total	25	13	38

Merged error: 2.0b

Counts

38 → 13

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (+ a (+ (+ b c) d)))
0.1b	(expm1 (log1p (+ a (+ (+ b c) d))))
2.7b	(+ a (+ (+ b c) d))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

1.0ms	(log1p (+ a (+ (+ b c) d)))
1.0ms	(expm1 (log1p (+ a (+ (+ b c) d))))
9.0ms	(+ a (+ (+ b c) d))

series277.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(log1p (+ a (+ (+ b c) d)))
142.0ms	(expm1 (log1p (+ a (+ (+ b c) d))))
29.0ms	(+ a (+ (+ b c) d))

simplify96.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	210	260
1	757	234
2	4424	213
3	5001	211

prune125.0ms

Filtered

53 candidates to 38 candidates (71.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	44	9	53
Fresh	6	5	11
Picked	1	0	1
Done	0	1	1
Total	51	15	66

Merged error: 1.9b

Counts

66 → 15

regimes445.0ms

Accuracy

0% (0.8b remaining)

Error of 2.8b against oracle of 1.9b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	4
1	20	4
2	20	4

end0.0ms

sample601.0ms

Algorithm

intervals

Results

200.0ms	8000×	pre	80	true
185.0ms	8000×	body	80	valid