Details

sample62.0ms

Algorithm

intervals

Results

30.0ms	128×	body	5120	exit
8.0ms	205×	body	80	valid
4.0ms	124×	body	80	overflowed
3.0ms	24×	body	320	valid
3.0ms	16×	body	640	valid
1.0ms	14×	body	160	valid

simplify50.0ms

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: 12.4b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ x (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
4.1b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite67.0ms

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	(/ wj (+ wj 1))
8.0ms	(/ x (+ wj 1))
10.0ms	(/ (/ x (+ wj 1)) (exp wj))
33.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ wj (+ wj 1))
23.0ms	(/ x (+ wj 1))
44.0ms	(/ (/ x (+ wj 1)) (exp wj))
54.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify133.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	1012	4140
1	4552	3266
2	5001	3260

prune469.0ms

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: 0.3b

Counts

274 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

5.0ms	(+ x (pow wj 2))
12.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
5.0ms	(* 2 (* wj x))

series78.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (pow wj 2))
30.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
19.0ms	(* 2 (* wj x))

simplify42.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	237	344
1	922	293
2	5001	274

prune127.0ms

Filtered

70 candidates to 49 candidates (70.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	70	6	76

Merged error: 0.3b

Counts

76 → 6

localize5.0ms

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

prune14.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	0	0
Total	6	6

Merged error: 0.3b

Counts

6 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ x (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
5.9b	(- wj (/ wj (+ wj 1)))

rewrite46.0ms

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	(/ wj (+ wj 1))
6.0ms	(/ x (+ wj 1))
10.0ms	(/ (/ x (+ wj 1)) (exp wj))
11.0ms	(- wj (/ wj (+ wj 1)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ wj (+ wj 1))
29.0ms	(/ x (+ wj 1))
40.0ms	(/ (/ x (+ wj 1)) (exp wj))
26.0ms	(- wj (/ wj (+ wj 1)))

simplify110.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 2 (84.0ms)

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

prune420.0ms

Filtered

248 candidates to 162 candidates (65.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	246	2	248
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	249	5	254

Merged error: 0.0b

Counts

254 → 5

regimes49.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

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

814.0ms	3695×	body	5120	exit
231.0ms	6335×	body	80	valid
130.0ms	3782×	body	80	overflowed
84.0ms	747×	body	320	valid
80.0ms	465×	body	640	valid
39.0ms	525×	body	160	valid