Details

analyze361.0ms

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

sample52.0ms

Algorithm

intervals

Results

6.0ms	196×	body	80	valid
3.0ms	32×	body	320	valid
1.0ms	11×	body	640	valid
1.0ms	17×	body	160	valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	6196	12

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: 13.9b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (/ x (exp wj)) wj) (+ wj 1))
0.0b	(- (/ x (exp wj)) wj)
0.0b	(/ x (exp wj))
13.9b	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
39×	`times-frac`
24×	`add-cube-cbrt`
12×	`difference-of-squares`
9×	`associate-/l*`
8×	`add-cbrt-cube` `distribute-lft-out` `add-log-exp`
7×	`add-exp-log` `associate-/r*`
6×	`distribute-lft-out--`
4×	`pow1`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `associate-/r/` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sub-neg` `diff-log` `sum-log`

Counts

4 → 105

Calls

4 calls:

12.0ms	(/ (- (/ x (exp wj)) wj) (+ wj 1))
8.0ms	(- (/ x (exp wj)) wj)
4.0ms	(/ x (exp wj))
18.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ (- (/ x (exp wj)) wj) (+ wj 1))
13.0ms	(- (/ x (exp wj)) wj)
8.0ms	(/ x (exp wj))
10.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

simplify61.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5826	1514

prune138.0ms

Filtered

86 candidates to 117 candidates (-36.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	113	4	117
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	115	4	119

Merged error: 0.1b

Counts

119 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

6.0ms	(* wj (+ wj (* x -2)))
4.0ms	(+ 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))))

simplify50.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4935	405
1	4935	405

prune59.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	39	6	45

Merged error: 0.1b

Counts

45 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* wj (+ wj (* x -2)))) (cbrt (* wj (+ wj (* x -2)))))
8.1b	(cbrt (* wj (+ wj (* x -2))))
8.1b	(cbrt (* wj (+ wj (* x -2))))
8.1b	(cbrt (* wj (+ wj (* x -2))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* wj (+ wj (* x -2)))) (cbrt (* wj (+ wj (* x -2)))))
4.0ms	(cbrt (* wj (+ wj (* x -2))))
4.0ms	(cbrt (* wj (+ wj (* x -2))))
4.0ms	(cbrt (* wj (+ wj (* x -2))))

series197.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (cbrt (* wj (+ wj (* x -2)))) (cbrt (* wj (+ wj (* x -2)))))
45.0ms	(cbrt (* wj (+ wj (* x -2))))
47.0ms	(cbrt (* wj (+ wj (* x -2))))
48.0ms	(cbrt (* wj (+ wj (* x -2))))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4884	982
1	4884	982

prune167.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0.1b

Counts

90 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (exp (neg wj))) wj)
0.0b	(/ (- (* x (exp (neg wj))) wj) (+ wj 1))
13.9b	(+ wj (/ (- (* x (exp (neg wj))) wj) (+ wj 1)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

7.0ms	(- (* x (exp (neg wj))) wj)
14.0ms	(/ (- (* x (exp (neg wj))) wj) (+ wj 1))
15.0ms	(+ wj (/ (- (* x (exp (neg wj))) wj) (+ wj 1)))

series27.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(- (* x (exp (neg wj))) wj)
9.0ms	(/ (- (* x (exp (neg wj))) wj) (+ wj 1))
9.0ms	(+ wj (/ (- (* x (exp (neg wj))) wj) (+ wj 1)))

simplify38.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5038	957

prune69.0ms

Filtered

53 candidates to 69 candidates (-30.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	69	6	75

Merged error: 0.1b

Counts

75 → 6

regimes109.0ms

Accuracy

61.9% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 1.9b

bsearch24.0ms

Steps

Iters	Range		Point
9	4.50248643455278e-12	1.1738019069521436e-05	4.476403173993071e-09

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	26
1	34	26

end0.0ms

sample1.4s

Algorithm

intervals

Results

195.0ms	6229×	body	80	valid
83.0ms	799×	body	320	valid
73.0ms	466×	body	640	valid
33.0ms	506×	body	160	valid

Details

analyze361.0ms

sample52.0ms

simplify59.0ms

prune12.0ms

localize12.0ms

rewrite45.0ms

series41.0ms

simplify61.0ms

prune138.0ms

localize6.0ms

rewrite11.0ms

series13.0ms

simplify50.0ms

prune59.0ms

localize11.0ms

rewrite21.0ms

series197.0ms

simplify51.0ms

prune167.0ms

localize13.0ms

rewrite39.0ms

series27.0ms

simplify38.0ms

prune69.0ms

regimes109.0ms

bsearch24.0ms

simplify1.0ms

end0.0ms

sample1.4s

Profiling