Details

sample24.0ms

Algorithm

intervals

Results

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

simplify18.0ms

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

prune2.0ms

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: 3.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.8b	(+ a (+ b (+ c d)))

rewrite14.0ms

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:

5.0ms	(+ b (+ c d))
8.0ms	(+ a (+ b (+ c d)))

series47.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ b (+ c d))
33.0ms	(+ a (+ b (+ c d)))

simplify86.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (5.0ms)

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

prune103.0ms

Filtered

48 candidates to 34 candidates (70.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	40	8	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	8	49

Merged error: 2.2b

Counts

49 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

2.8b	(+ a (+ (+ b c) d))

rewrite8.0ms

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:

8.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify65.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (4.0ms)

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

prune67.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	16	9	25
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	21	12	33

Merged error: 2.0b

Counts

33 → 12

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(expm1 (log1p (+ a (+ (+ b c) d))))
0.1b	(log1p (+ a (+ (+ b c) d)))
2.8b	(+ a (+ (+ b c) d))

rewrite10.0ms

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	(expm1 (log1p (+ a (+ (+ b c) d))))
1.0ms	(log1p (+ a (+ (+ b c) d)))
8.0ms	(+ a (+ (+ b c) d))

series286.0ms

Counts

3 → 9

Calls

3 calls:

154.0ms	(expm1 (log1p (+ a (+ (+ b c) d))))
103.0ms	(log1p (+ a (+ (+ b c) d)))
29.0ms	(+ a (+ (+ b c) d))

simplify91.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	210	260
1	757	234
2	4425	213
3	5001	211

prune137.0ms

Filtered

53 candidates to 36 candidates (67.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	44	9	53
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	47	18	65

Merged error: 1.9b

Counts

65 → 18

localize9.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.8b	(+ a (+ (+ b c) d))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
18×	`cbrt-prod` `distribute-lft-out`
11×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cube-prod` `sum-log`
3×	`fma-def`
2×	`pow1` `add-exp-log` `cube-div` `expm1-log1p-u` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `cube-mult` `associate-+r+` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 53

Calls

2 calls:

11.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
8.0ms	(+ a (+ (+ b c) d))

series85.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
28.0ms	(+ a (+ (+ b c) d))

simplify29.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	219	293
1	921	289
2	5002	287

prune85.0ms

Filtered

59 candidates to 33 candidates (55.9%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	50	9	59
Fresh	3	14	17
Picked	1	0	1
Done	0	0	0
Total	54	23	77

Merged error: 1.8b

Counts

77 → 23

regimes550.0ms

Accuracy

0% (1.0b remaining)

Error of 2.9b against oracle of 1.9b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample566.0ms

Algorithm

intervals

Results

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