Details

sample61.0ms

Algorithm

intervals

Results

39.0ms	224×	body	10240	exit
6.0ms	208×	body	80	valid
2.0ms	15×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	18×	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: 11.3b

localize13.0ms

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))
4.2b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite437.0ms

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:

7.0ms	(/ wj (+ wj 1))
5.0ms	(/ x (+ wj 1))
12.0ms	(/ (/ x (+ wj 1)) (exp wj))
401.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ wj (+ wj 1))
22.0ms	(/ x (+ wj 1))
44.0ms	(/ (/ x (+ wj 1)) (exp wj))
54.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify123.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 2 (88.0ms)

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

prune502.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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:

6.0ms

(* 2 (* wj x))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* 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

prune38.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (* (exp wj) (+ wj 1)))
0.0b	(/ wj (+ wj 1))
0.0b	(* (exp wj) (+ wj 1))
4.2b	(- (+ (/ x (* (exp wj) (+ wj 1))) wj) (/ wj (+ wj 1)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

145×	`*-un-lft-identity`
75×	`add-sqr-sqrt`
72×	`prod-diff`
68×	`add-cube-cbrt`
64×	`times-frac`
37×	`distribute-lft-out`
13×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`add-exp-log`
9×	`add-log-exp`
8×	`flip3-+` `flip-+`
6×	`pow1` `div-inv` `associate-/l*`
5×	`associate-/r*`
4×	`expm1-log1p-u` `fma-neg` `associate-r/` `associate-r*` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp` `associate-l`
2×	`frac-2neg` `diff-log` `prod-exp` `clear-num` `frac-sub` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 183

Calls

4 calls:

7.0ms	(/ x (* (exp wj) (+ wj 1)))
5.0ms	(/ wj (+ wj 1))
12.0ms	(* (exp wj) (+ wj 1))
152.0ms	(- (+ (/ x (* (exp wj) (+ wj 1))) wj) (/ wj (+ wj 1)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ x (* (exp wj) (+ wj 1)))
27.0ms	(/ wj (+ wj 1))
35.0ms	(* (exp wj) (+ wj 1))
58.0ms	(- (+ (/ x (* (exp wj) (+ wj 1))) wj) (/ wj (+ wj 1)))

simplify105.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	801	3328
1	3683	2485
2	5001	2476

prune321.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.1b

regimes22.0ms

Accuracy

0% (1.8b remaining)

Error of 2.2b against oracle of 0.3b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s	7720×	body	10240	exit
189.0ms	6208×	body	80	valid
73.0ms	818×	body	320	valid
72.0ms	493×	body	640	valid
32.0ms	547×	body	160	valid