Details

sample74.0ms

Algorithm

intervals

Results

49.0ms	257×	body	10240	exit
6.0ms	193×	body	80	valid
2.0ms	17×	body	640	valid
2.0ms	27×	body	320	valid
1.0ms	23×	body	160	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.9b

localize9.0ms

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))
5.6b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite454.0ms

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))
12.0ms	(/ (/ x (+ wj 1)) (exp wj))
417.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ x (+ wj 1))
20.0ms	(/ wj (+ wj 1))
40.0ms	(/ (/ x (+ wj 1)) (exp wj))
59.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify125.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 2 (88.0ms)

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

prune531.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.6b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

6.0ms	(* 2 (* wj x))
50.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))

series48.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* 2 (* wj x))
29.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))

simplify34.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	195	282
1	797	237
2	5001	222

prune114.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.6b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune17.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.6b

localize9.0ms

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))
6.2b	(- wj (/ wj (+ wj 1)))

rewrite53.0ms

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))
15.0ms	(/ (/ x (+ wj 1)) (exp wj))
16.0ms	(- wj (/ wj (+ wj 1)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ x (+ wj 1))
20.0ms	(/ wj (+ wj 1))
45.0ms	(/ (/ x (+ wj 1)) (exp wj))
25.0ms	(- wj (/ wj (+ wj 1)))

simplify109.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 2 (78.0ms)

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

prune515.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.5s	7771×	body	10240	exit
196.0ms	6320×	body	80	valid
74.0ms	797×	body	320	valid
64.0ms	444×	body	640	valid
31.0ms	515×	body	160	valid