Details

sample57.0ms

Algorithm

intervals

Results

22.0ms	110×	body	5120	exit
7.0ms	215×	body	80	valid
4.0ms	129×	body	80	overflowed
2.0ms	22×	body	320	valid
2.0ms	14×	body	640	valid
1.0ms	13×	body	160	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	8
5	5002	8

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 11.4b

Counts

2 → 2

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))
3.9b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite55.0ms

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))
5.0ms	(/ x (+ wj 1))
9.0ms	(/ (/ x (+ wj 1)) (exp wj))
29.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ wj (+ wj 1))
28.0ms	(/ x (+ wj 1))
48.0ms	(/ (/ x (+ wj 1)) (exp wj))
68.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify83.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	721	1524
1	3303	1471
2	5002	1469

prune1.7s

Filtered

188 candidates to 138 candidates (26.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	185	3	188
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	186	4	190

Merged error: 0.1b

Counts

190 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2 (* wj x))

rewrite5.0ms

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×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* 2 (* wj x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* 2 (* wj x))

simplify80.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	86	66
1	318	56
2	1235	56
3	3444	56
4	5001	56

prune34.0ms

Filtered

21 candidates to 11 candidates (47.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0.1b

Counts

25 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(/ wj (+ wj 1))
0.2b	(/ 1 (/ (exp wj) (/ x (+ wj 1))))
3.9b	(- (+ (/ 1 (/ (exp wj) (/ x (+ wj 1)))) wj) (/ wj (+ wj 1)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

562×	`times-frac`
349×	`*-un-lft-identity`
259×	`add-sqr-sqrt`
254×	`add-cube-cbrt`
67×	`associate-/r*`
46×	`distribute-lft-out`
33×	`associate-/r/`
23×	`add-exp-log`
20×	`div-inv`
17×	`div-exp` `add-cbrt-cube`
15×	`flip3-+` `flip-+`
9×	`associate-/l*` `add-log-exp`
8×	`cbrt-undiv`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out--`
2×	`diff-log` `frac-sub` `difference-of-squares`
1×	`sub-neg` `flip3--` `pow-flip` `associate--l+` `sum-log` `flip--` `inv-pow`

Counts

4 → 351

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
9.0ms	(/ wj (+ wj 1))
18.0ms	(/ 1 (/ (exp wj) (/ x (+ wj 1))))
65.0ms	(- (+ (/ 1 (/ (exp wj) (/ x (+ wj 1)))) wj) (/ wj (+ wj 1)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ x (+ wj 1))
29.0ms	(/ wj (+ wj 1))
41.0ms	(/ 1 (/ (exp wj) (/ x (+ wj 1))))
59.0ms	(- (+ (/ 1 (/ (exp wj) (/ x (+ wj 1)))) wj) (/ wj (+ wj 1)))

simplify69.0ms

Algorithm

egg-herbie

Counts

363 → 363

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1393	3982
1	5001	3485

prune2.6s

Filtered

363 candidates to 172 candidates (52.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	363	0	363
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	363	4	367

Merged error: 0.1b

Counts

367 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(* wj (exp wj))
0.5b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
3.9b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-cube-cbrt`
16×	`times-frac`
10×	`add-cbrt-cube`
8×	`pow1` `add-exp-log`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`associate-/r*`
4×	`distribute-rgt-out` `distribute-rgt1-in`
3×	`associate-/l*`
2×	`flip3--` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv` `distribute-lft-out--` `associate--r-`

Counts

4 → 92

Calls

4 calls:

5.0ms	(* wj (exp wj))
5.0ms	(* wj (exp wj))
9.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
15.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series184.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* wj (exp wj))
40.0ms	(* wj (exp wj))
44.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
63.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	368	913
1	1407	859
2	5002	844

prune507.0ms

Filtered

104 candidates to 81 candidates (22.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	104	4	108

Merged error: 0.1b

Counts

108 → 4

regimes153.0ms

Accuracy

65.3% (0.6b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 2.2b

bsearch49.0ms

Steps

Iters	Range		Point
9	1.636599296017768e-13	3.9971791970784e-05	8.521885227050543e-09

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	14
1	27	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

801.0ms	3814×	body	5120	exit
223.0ms	6286×	body	80	valid
124.0ms	3777×	body	80	overflowed
93.0ms	806×	body	320	valid
77.0ms	458×	body	640	valid
38.0ms	529×	body	160	valid

Details

sample57.0ms

simplify47.0ms

prune12.0ms

localize13.0ms

rewrite55.0ms

series170.0ms

simplify83.0ms

prune1.7s

localize7.0ms

rewrite5.0ms

series27.0ms

simplify80.0ms

prune34.0ms

localize11.0ms

rewrite119.0ms

series157.0ms

simplify69.0ms

prune2.6s

localize8.0ms

rewrite36.0ms

series184.0ms

simplify45.0ms

prune507.0ms

regimes153.0ms

bsearch49.0ms

simplify1.0ms

end0.0ms

sample1.8s

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