Details

sample72.0ms

Algorithm

intervals

Results

48.0ms	269×	body	10240	exit
6.0ms	199×	body	80	valid
2.0ms	24×	body	320	valid
2.0ms	15×	body	640	valid
1.0ms	21×	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: 13.9b

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))
6.1b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite457.0ms

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))
5.0ms	(/ x (+ wj 1))
12.0ms	(/ (/ x (+ wj 1)) (exp wj))
421.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ wj (+ wj 1))
22.0ms	(/ x (+ wj 1))
43.0ms	(/ (/ x (+ wj 1)) (exp wj))
57.0ms	(- (+ (/ (/ 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

prune515.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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))
6.0ms	(* 2 (* wj x))

series51.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (pow wj 2))
22.0ms	(* 2 (* wj x))

simplify69.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (66.0ms)

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

prune98.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2 (* wj x))

rewrite7.0ms

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:

6.0ms

(* 2 (* wj x))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(* 2 (* wj x))

simplify78.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (4.0ms)

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

prune51.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt wj)
0.6b	(cbrt wj)
0.6b	(cbrt wj)
11.5b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ (* (cbrt wj) (cbrt wj)) (/ (+ wj 1) (cbrt wj))))

rewrite451.0ms

Algorithm

rewrite-expression-head

Rules

226×	`*-un-lft-identity`
213×	`times-frac`
132×	`prod-diff`
115×	`add-sqr-sqrt`
105×	`add-cube-cbrt`
59×	`distribute-lft-out`
58×	`cbrt-prod`
9×	`add-log-exp`
8×	`div-inv`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-neg` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u` `difference-of-squares`
3×	`pow1/3`
2×	`diff-log` `frac-sub` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `flip--` `flip-+`

Counts

4 → 199

Calls

4 calls:

0.0ms	(cbrt wj)
0.0ms	(cbrt wj)
1.0ms	(cbrt wj)
434.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ (* (cbrt wj) (cbrt wj)) (/ (+ wj 1) (cbrt wj))))

series781.0ms

Counts

4 → 12

Calls

4 calls:

361.0ms	(cbrt wj)
175.0ms	(cbrt wj)
179.0ms	(cbrt wj)
66.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ (* (cbrt wj) (cbrt wj)) (/ (+ wj 1) (cbrt wj))))

simplify151.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	879	7714
1	3879	5760
2	5001	5733

prune459.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

regimes105.0ms

Accuracy

40.3% (1.1b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 2.1b

bsearch34.0ms

Steps

Iters	Range		Point
9	-6.7357437175194845e-09	-5.4793573196899966e-14	-5.8145946613870445e-09

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	14
1	27	14
2	27	14

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s	7583×	body	10240	exit
181.0ms	6253×	body	80	valid
71.0ms	803×	body	320	valid
65.0ms	463×	body	640	valid
32.0ms	557×	body	160	valid