Details

sample57.0ms

Algorithm

intervals

Results

26.0ms	123×	body	5120	exit
7.0ms	207×	body	80	valid
4.0ms	134×	body	80	overflowed
3.0ms	19×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	14×	body	160	valid

simplify48.0ms

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

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 11.9b

Counts

2 → 2

localize13.0ms

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))
4.4b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite59.0ms

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	(/ x (+ wj 1))
5.0ms	(/ wj (+ wj 1))
10.0ms	(/ (/ x (+ wj 1)) (exp wj))
31.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series145.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ x (+ wj 1))
25.0ms	(/ wj (+ wj 1))
39.0ms	(/ (/ x (+ wj 1)) (exp wj))
58.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify81.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (64.0ms)

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

prune403.0ms

Filtered

188 candidates to 138 candidates (73.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	183	5	188
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	185	5	190

Merged error: 0.1b

Counts

190 → 5

localize11.0ms

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

Counts

1 → 18

Calls

1 calls:

5.0ms

(* 2 (* wj x))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(* 2 (* wj x))

simplify83.0ms

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

prune33.0ms

Filtered

21 candidates to 11 candidates (52.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	21	5	26

Merged error: 0.1b

Counts

26 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (- (* wj wj) (* 1 1))) (/ (exp wj) (- wj 1)))
0.0b	(/ (exp wj) (- wj 1))
0.0b	(/ wj (+ wj 1))
4.4b	(- (+ (/ (/ x (- (* wj wj) (* 1 1))) (/ (exp wj) (- wj 1))) wj) (/ wj (+ wj 1)))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

1255×	`times-frac`
707×	`add-sqr-sqrt`
654×	`*-un-lft-identity`
458×	`add-cube-cbrt`
208×	`difference-of-squares`
99×	`associate-/r/`
63×	`distribute-lft-out--`
61×	`difference-of-sqr-1`
50×	`div-inv`
49×	`flip3--` `flip--`
38×	`associate-/r*`
24×	`associate-/l*`
20×	`add-cbrt-cube`
17×	`add-exp-log`
10×	`cbrt-undiv` `div-exp`
9×	`add-log-exp`
5×	`distribute-lft-out`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`flip3-+` `diff-log` `frac-sub` `flip-+`
1×	`sub-neg` `associate--l+` `sum-log` `associate-/l/`

Counts

4 → 649

Calls

4 calls:

25.0ms	(/ (/ x (- (* wj wj) (* 1 1))) (/ (exp wj) (- wj 1)))
7.0ms	(/ (exp wj) (- wj 1))
5.0ms	(/ wj (+ wj 1))
145.0ms	(- (+ (/ (/ x (- (* wj wj) (* 1 1))) (/ (exp wj) (- wj 1))) wj) (/ wj (+ wj 1)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ (/ x (- (* wj wj) (* 1 1))) (/ (exp wj) (- wj 1)))
18.0ms	(/ (exp wj) (- wj 1))
26.0ms	(/ wj (+ wj 1))
123.0ms	(- (+ (/ (/ x (- (* wj wj) (* 1 1))) (/ (exp wj) (- wj 1))) wj) (/ wj (+ wj 1)))

simplify168.0ms

Algorithm

egg-herbie

Counts

661 → 661

Iterations

Useful iterations: 1 (57.0ms)

Iter	Nodes	Cost
0	3010	11732
1	5001	11400

prune1.4s

Filtered

661 candidates to 411 candidates (62.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	661	0	661
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	661	5	666

Merged error: 0.1b

Counts

666 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* wj wj) (- 1 (* wj 1))) (exp wj))
0.0b	(/ wj (+ wj 1))
0.0b	(* (/ x (+ (pow wj 3) 1)) (/ (+ (* wj wj) (- 1 (* wj 1))) (exp wj)))
4.4b	(- (+ (* (/ x (+ (pow wj 3) 1)) (/ (+ (* wj wj) (- 1 (* wj 1))) (exp wj))) wj) (/ wj (+ wj 1)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
47×	`times-frac`
36×	`add-cube-cbrt`
20×	`add-cbrt-cube`
18×	`associate-l`
17×	`add-exp-log`
13×	`associate-r`
9×	`add-log-exp`
7×	`associate-/r*` `distribute-lft-out`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*`
4×	`flip3-+` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub` `associate-/l/` `difference-of-squares`
1×	`frac-times` `associate-+r-` `sub-neg` `flip3--` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `associate--l+` `sum-log` `*-commutative` `flip--` `distribute-lft-out--`

Counts

4 → 137

Calls

4 calls:

9.0ms	(/ (+ (* wj wj) (- 1 (* wj 1))) (exp wj))
5.0ms	(/ wj (+ wj 1))
24.0ms	(* (/ x (+ (pow wj 3) 1)) (/ (+ (* wj wj) (- 1 (* wj 1))) (exp wj)))
24.0ms	(- (+ (* (/ x (+ (pow wj 3) 1)) (/ (+ (* wj wj) (- 1 (* wj 1))) (exp wj))) wj) (/ wj (+ wj 1)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (+ (* wj wj) (- 1 (* wj 1))) (exp wj))
21.0ms	(/ wj (+ wj 1))
90.0ms	(* (/ x (+ (pow wj 3) 1)) (/ (+ (* wj wj) (- 1 (* wj 1))) (exp wj)))
177.0ms	(- (+ (* (/ x (+ (pow wj 3) 1)) (/ (+ (* wj wj) (- 1 (* wj 1))) (exp wj))) wj) (/ wj (+ wj 1)))

simplify107.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	790	1769
1	4060	1621
2	5001	1609

prune413.0ms

Filtered

149 candidates to 116 candidates (77.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	149	5	154

Merged error: 0.1b

Counts

154 → 5

regimes47.0ms

Accuracy

0% (1.8b remaining)

Error of 2.0b against oracle of 0.3b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.7s

Algorithm

intervals

Results

824.0ms	3931×	body	5120	exit
217.0ms	6263×	body	80	valid
126.0ms	3757×	body	80	overflowed
88.0ms	786×	body	320	valid
85.0ms	500×	body	640	valid
40.0ms	522×	body	160	valid

Details

sample57.0ms

simplify48.0ms

prune6.0ms

localize13.0ms

rewrite59.0ms

series145.0ms

simplify81.0ms

prune403.0ms

localize11.0ms

rewrite6.0ms

series19.0ms

simplify83.0ms

prune33.0ms

localize20.0ms

rewrite242.0ms

series240.0ms

simplify168.0ms

prune1.4s

localize17.0ms

rewrite68.0ms

series311.0ms

simplify107.0ms

prune413.0ms

regimes47.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

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