Details

sample61.0ms

Algorithm

intervals

Results

39.0ms	225×	body	10240	exit
6.0ms	216×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	7×	body	640	valid
1.0ms	16×	body	160	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	8
5	5001	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
0.0b	(/ x (+ wj 1))
4.6b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite386.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
118×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
24×	`associate-/l*`
21×	`distribute-lft-out`
13×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`add-exp-log` `associate-/r*`
9×	`add-log-exp`
7×	`flip3-+` `flip-+` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
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 → 176

Calls

4 calls:

5.0ms	(/ wj (+ wj 1))
12.0ms	(/ (/ x (+ wj 1)) (exp wj))
5.0ms	(/ x (+ wj 1))
354.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ wj (+ wj 1))
44.0ms	(/ (/ x (+ wj 1)) (exp wj))
22.0ms	(/ x (+ wj 1))
54.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify79.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	721	1524
1	3303	1471
2	5001	1469

prune442.0ms

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

6.0ms	(* 2 (* wj x))
5.0ms	(+ x (pow wj 2))

series48.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify67.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	149	122
1	551	108
2	2352	107
3	5001	107

prune75.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt wj)
0.7b	(cbrt wj)
0.7b	(cbrt wj)
8.0b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (* (* (cbrt wj) (cbrt wj)) (/ (cbrt wj) (+ wj 1))))

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`diff-log` `associate-*r/` `frac-sub`
1×	`sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `flip--` `flip-+`

Counts

4 → 49

Calls

4 calls:

0.0ms	(cbrt wj)
0.0ms	(cbrt wj)
1.0ms	(cbrt wj)
343.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (* (* (cbrt wj) (cbrt wj)) (/ (cbrt wj) (+ wj 1))))

series593.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt wj)
172.0ms	(cbrt wj)
178.0ms	(cbrt wj)
70.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (* (* (cbrt wj) (cbrt wj)) (/ (cbrt wj) (+ wj 1))))

simplify33.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	252	495
1	961	444
2	5001	419

prune194.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp wj) (+ wj 1))
0.0b	(/ wj (+ wj 1))
0.0b	(/ x (* (exp wj) (+ wj 1)))
4.6b	(- (+ (/ x (* (exp wj) (+ wj 1))) wj) (/ wj (+ wj 1)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
16×	`times-frac`
13×	`add-cbrt-cube`
11×	`add-exp-log`
9×	`add-log-exp`
6×	`pow1` `distribute-lft-out` `associate-/l*`
5×	`associate-/r*`
4×	`flip3-+` `associate-r/` `associate-r*` `associate-/r/` `flip-+`
3×	`cbrt-undiv` `div-exp` `associate-l`
2×	`frac-2neg` `diff-log` `prod-exp` `clear-num` `frac-sub` `cbrt-unprod` `div-inv` `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 → 99

Calls

4 calls:

12.0ms	(* (exp wj) (+ wj 1))
5.0ms	(/ wj (+ wj 1))
7.0ms	(/ x (* (exp wj) (+ wj 1)))
127.0ms	(- (+ (/ x (* (exp wj) (+ wj 1))) wj) (/ wj (+ wj 1)))

series153.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (exp wj) (+ wj 1))
20.0ms	(/ wj (+ wj 1))
38.0ms	(/ x (* (exp wj) (+ wj 1)))
57.0ms	(- (+ (/ x (* (exp wj) (+ wj 1))) wj) (/ wj (+ wj 1)))

simplify56.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	493	762
1	2288	711
2	5001	708

prune224.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes62.0ms

Accuracy

0% (1.9b 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	7745×	body	10240	exit
191.0ms	6321×	body	80	valid
66.0ms	754×	body	320	valid
64.0ms	457×	body	640	valid
32.0ms	540×	body	160	valid