Details

analyze343.0ms

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	134×	body	5120	exit
7.0ms	200×	body	80	valid
3.0ms	18×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	16×	body	160	valid
0.0ms	2×	body	80	invalid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	6196	12

prune13.0ms

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: 12.8b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (/ x (exp wj)) wj) (+ wj 1))
0.0b	(/ x (exp wj))
4.0b	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
38×	`times-frac`
23×	`add-cube-cbrt`
10×	`difference-of-squares`
9×	`associate-/l*`
8×	`distribute-lft-out`
7×	`associate-/r*` `add-cbrt-cube`
6×	`add-exp-log`
5×	`distribute-lft-out--` `add-log-exp`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `associate-/r/` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `sum-log` `flip--`

Counts

3 → 91

Calls

3 calls:

12.0ms	(/ (- (/ x (exp wj)) wj) (+ wj 1))
4.0ms	(/ x (exp wj))
18.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

series29.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/ (- (/ x (exp wj)) wj) (+ wj 1))
8.0ms	(/ x (exp wj))
11.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

simplify65.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5860	1345

prune125.0ms

Filtered

73 candidates to 100 candidates (-37.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	97	5	102

Merged error: 0.3b

Counts

102 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify55.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4935	405
1	4935	405

prune60.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	39	7	46

Merged error: 0.3b

Counts

46 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ wj (* x -2))) (cbrt (+ wj (* x -2))))
0.6b	(cbrt (+ wj (* x -2)))
0.6b	(cbrt (+ wj (* x -2)))
0.6b	(cbrt (+ wj (* x -2)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

9.0ms	(* (cbrt (+ wj (* x -2))) (cbrt (+ wj (* x -2))))
3.0ms	(cbrt (+ wj (* x -2)))
3.0ms	(cbrt (+ wj (* x -2)))
3.0ms	(cbrt (+ wj (* x -2)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (cbrt (+ wj (* x -2))) (cbrt (+ wj (* x -2))))
30.0ms	(cbrt (+ wj (* x -2)))
27.0ms	(cbrt (+ wj (* x -2)))
28.0ms	(cbrt (+ wj (* x -2)))

simplify51.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4890	1167
1	4890	1167

prune200.0ms

Filtered

71 candidates to 99 candidates (-39.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	98	8	106

Merged error: 0.3b

Counts

106 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.5b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
4.0b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

5.0ms	(* wj (exp wj))
4.0ms	(+ (exp wj) (* wj (exp wj)))
10.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
13.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series37.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* wj (exp wj))
4.0ms	(+ (exp wj) (* wj (exp wj)))
14.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
15.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5052	1318

prune101.0ms

Filtered

81 candidates to 98 candidates (-21.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	98	8	106

Merged error: 0.3b

Counts

106 → 8

regimes172.0ms

Accuracy

47.1% (1.0b remaining)

Error of 1.2b against oracle of 0.3b and baseline of 2.1b

bsearch13.0ms

Steps

Iters	Range		Point
7	1.5487584067942402e-07	2.664881023933757e-05	8.746783178569327e-06

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	57
1	46	57

end0.0ms

sample1.5s

Algorithm

intervals

Results

848.0ms	3756×	body	5120	exit
222.0ms	6174×	body	80	valid
90.0ms	795×	body	320	valid
86.0ms	485×	body	640	valid
43.0ms	546×	body	160	valid
3.0ms	63×	body	80	invalid
0.0ms	13×	body	80	overflowed

Details

analyze343.0ms

sample54.0ms

simplify67.0ms

prune13.0ms

localize9.0ms

rewrite37.0ms

series29.0ms

simplify65.0ms

prune125.0ms

localize6.0ms

rewrite9.0ms

series13.0ms

simplify55.0ms

prune60.0ms

localize12.0ms

rewrite19.0ms

series116.0ms

simplify51.0ms

prune200.0ms

localize8.0ms

rewrite33.0ms

series37.0ms

simplify52.0ms

prune101.0ms

regimes172.0ms

bsearch13.0ms

simplify2.0ms

end0.0ms

sample1.5s

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