Details

sample63.0ms

Algorithm

intervals

Results

32.0ms	139×	body	5120	exit
7.0ms	196×	body	80	valid
4.0ms	138×	body	80	overflowed
3.0ms	33×	body	320	valid
3.0ms	16×	body	640	valid
1.0ms	14×	body	160	valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	21	9
1	52	9
2	113	9
3	240	8
4	1625	8
5	5001	8

prune6.0ms

Filtered

1 candidates to 1 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: 14.2b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
3.7b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

231×	`*-un-lft-identity`
175×	`times-frac`
129×	`add-sqr-sqrt`
124×	`add-cube-cbrt`
72×	`prod-diff`
52×	`distribute-lft-out`
24×	`associate-/l*`
20×	`associate-/r/`
13×	`add-cbrt-cube`
11×	`add-exp-log` `flip3-+` `associate-/r*` `flip-+` `div-inv`
9×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`frac-2neg` `clear-num`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `associate-/l/`

Counts

4 → 260

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
5.0ms	(/ wj (+ wj 1))
13.0ms	(/ (/ x (+ wj 1)) (exp wj))
32.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ x (+ wj 1))
20.0ms	(/ wj (+ wj 1))
45.0ms	(/ (/ x (+ wj 1)) (exp wj))
54.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify134.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	1015	4090
1	4555	3249
2	5001	3243

prune479.0ms

Filtered

272 candidates to 165 candidates (60.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	266	6	272
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	268	6	274

Merged error: 0.2b

Counts

274 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (pow wj 2))
0.0b	(* 2 (* wj x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

5.0ms	(+ x (pow wj 2))
5.0ms	(* 2 (* wj x))

series52.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (pow wj 2))
23.0ms	(* 2 (* wj x))

simplify71.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	156	135
1	573	114
2	2454	114
3	5002	112

prune87.0ms

Filtered

43 candidates to 30 candidates (69.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	42	7	49

Merged error: 0.2b

Counts

49 → 7

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2 (* wj x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* 2 (* wj x))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* 2 (* wj x))

simplify81.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	88	72
1	320	62
2	1237	62
3	3448	62
4	5001	62

prune42.0ms

Filtered

23 candidates to 13 candidates (56.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	23	7	30

Merged error: 0.2b

Counts

30 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
5.1b	(- wj (/ wj (+ wj 1)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

176×	`*-un-lft-identity`
163×	`times-frac`
121×	`add-sqr-sqrt`
116×	`add-cube-cbrt`
54×	`prod-diff`
29×	`distribute-lft-out`
24×	`associate-/l*`
18×	`associate-/r/`
13×	`add-cbrt-cube`
11×	`add-exp-log` `associate-/r*`
10×	`div-inv`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `clear-num`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 236

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
5.0ms	(/ wj (+ wj 1))
9.0ms	(/ (/ x (+ wj 1)) (exp wj))
11.0ms	(- wj (/ wj (+ wj 1)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ x (+ wj 1))
20.0ms	(/ wj (+ wj 1))
45.0ms	(/ (/ x (+ wj 1)) (exp wj))
26.0ms	(- wj (/ wj (+ wj 1)))

simplify112.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	921	2790
1	4082	2167
2	5002	2164

prune418.0ms

Filtered

248 candidates to 162 candidates (65.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	247	1	248
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	251	4	255

Merged error: 0.1b

Counts

255 → 4

regimes48.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample1.6s

Algorithm

intervals

Results

818.0ms	3924×	body	5120	exit
223.0ms	6361×	body	80	valid
128.0ms	3778×	body	80	overflowed
81.0ms	732×	body	320	valid
70.0ms	428×	body	640	valid
43.0ms	567×	body	160	valid