Details

analyze352.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

sample54.0ms

Algorithm

intervals

Results

29.0ms	109×	body	5120	exit
8.0ms	202×	body	80	valid
4.0ms	31×	body	320	valid
3.0ms	16×	body	640	valid
1.0ms	7×	body	160	valid
0.0ms	4×	body	80	invalid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	6196	12

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 12.8b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (exp wj))
2.7b	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 40

Calls

2 calls:

6.0ms	(/ x (exp wj))
17.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/ x (exp wj))
10.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

simplify41.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5020	469

prune66.0ms

Filtered

36 candidates to 46 candidates (-27.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	5	47

Merged error: 0.3b

Counts

47 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

5.0ms	(* wj (+ wj (* x -2)))
3.0ms	(+ x (* wj (+ wj (* x -2))))

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* wj (+ wj (* x -2)))
7.0ms	(+ x (* wj (+ wj (* x -2))))

simplify53.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4935	405
1	4935	405

prune54.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	41	5	46

Merged error: 0.3b

Counts

46 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1))))
2.7b	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))
2.7b	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))
2.7b	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
10×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-prod` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
3×	`+-commutative` `associate-+r-` `div-sub` `sum-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 53

Calls

4 calls:

17.0ms	(cbrt (+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1))))
18.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))
18.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))
20.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt (+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1))))
12.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))
10.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))
10.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

simplify51.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5151	1084

prune141.0ms

Filtered

52 candidates to 65 candidates (-25.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	63	7	70

Merged error: 0.3b

Counts

70 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1))))
0.6b	(cbrt (+ x (* wj (+ wj (* x -2)))))
2.7b	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))
2.7b	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
8×	`add-log-exp`
7×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
3×	`distribute-lft-out`
2×	`+-commutative` `associate-+r-` `pow1/3` `div-sub` `sum-log`

Counts

4 → 53

Calls

4 calls:

17.0ms	(cbrt (+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1))))
2.0ms	(cbrt (+ x (* wj (+ wj (* x -2)))))
18.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))
18.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

series85.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt (+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1))))
40.0ms	(cbrt (+ x (* wj (+ wj (* x -2)))))
10.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))
14.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

simplify70.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4915	1112
1	4915	1112

prune132.0ms

Filtered

52 candidates to 65 candidates (-25.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	3	3
Picked	1	0	1
Done	0	3	3
Total	65	7	72

Merged error: 0.3b

Counts

72 → 7

regimes141.0ms

Accuracy

75.9% (0.4b remaining)

Error of 0.7b against oracle of 0.3b and baseline of 2.1b

bsearch43.0ms

Steps

Iters	Range		Point
10	1.1288503698725206e-23	1.2232898107728626e-08	1.2051231993133346e-08
9	-8.638048774489397e-06	-2.1765199982069583e-15	-5.84597177752784e-09

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	73
1	50	73

end0.0ms

sample1.6s

Algorithm

intervals

Results

955.0ms	3974×	body	5120	exit
242.0ms	6270×	body	80	valid
93.0ms	749×	body	320	valid
90.0ms	473×	body	640	valid
45.0ms	508×	body	160	valid
4.0ms	80×	body	80	invalid
0.0ms	9×	body	80	overflowed

Details

analyze352.0ms

sample54.0ms

simplify63.0ms

prune8.0ms

localize8.0ms

rewrite25.0ms

series17.0ms

simplify41.0ms

prune66.0ms

localize6.0ms

rewrite9.0ms

series13.0ms

simplify53.0ms

prune54.0ms

localize13.0ms

rewrite75.0ms

series54.0ms

simplify51.0ms

prune141.0ms

localize21.0ms

rewrite57.0ms

series85.0ms

simplify70.0ms

prune132.0ms

regimes141.0ms

bsearch43.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling