Details

analyze327.0ms (8.7%)

Algorithm

1×

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

sample51.0ms (1.3%)

Algorithm

1×

intervals

Results

26.0ms	121×	body	5120	exit
7.0ms	196×	body	80	valid
3.0ms	23×	body	320	valid
2.0ms	12×	body	640	valid
2.0ms	25×	body	160	valid
0.0ms	3×	body	80	invalid

simplify67.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	6196	12

prune12.0ms (0.3%)

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: 13.4b

Counts

2 → 2

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (exp wj)) wj)
0.0b	(/ (- (/ x (exp wj)) wj) (+ wj 1))
0.0b	(/ x (exp wj))
6.0b	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

rewrite45.0ms (1.2%)

Algorithm

1×	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:

17.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))
12.0ms	(/ (- (/ x (exp wj)) wj) (+ wj 1))
8.0ms	(- (/ x (exp wj)) wj)
4.0ms	(/ x (exp wj))

series41.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

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

simplify66.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5826	1514

prune175.0ms (4.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	112	5	117
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	114	5	119

Merged error: 0.5b

Counts

119 → 5

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite10.0ms (0.3%)

Algorithm

1×	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 (0.3%)

Counts

2 → 6

Calls

2 calls:

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

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4935	405
1	4935	405

prune89.0ms (2.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	36	5	41
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	36	10	46

Merged error: 0.5b

Counts

46 → 10

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* wj (+ wj (* x -2)))) (cbrt (* wj (+ wj (* x -2)))))
12.7b	(cbrt (* wj (+ wj (* x -2))))
12.7b	(cbrt (* wj (+ wj (* x -2))))
12.7b	(cbrt (* wj (+ wj (* x -2))))

rewrite21.0ms (0.6%)

Algorithm

1×	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))))

series196.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

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

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4884	982
1	4884	982

prune243.0ms (6.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	84	10	94

Merged error: 0.5b

Counts

94 → 10

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(pow (cbrt (* wj (+ wj (* x -2)))) 6)
12.7b	(cbrt (* wj (+ wj (* x -2))))
12.7b	(cbrt (* wj (+ wj (* x -2))))
29.6b	(pow (pow (cbrt (* wj (+ wj (* x -2)))) 6) 1/3)

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`unpow-prod-down`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
6×	`pow-unpow`
5×	`pow1` `pow-exp`
4×	`cbrt-prod` `cbrt-div` `associate-*r/` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `pow1/3` `sqr-pow`
2×	`flip3-+` `flip-+`
1×	`unpow1/3`

Counts

4 → 66

Calls

4 calls:

5.0ms	(pow (pow (cbrt (* wj (+ wj (* x -2)))) 6) 1/3)
4.0ms	(cbrt (* wj (+ wj (* x -2))))
4.0ms	(cbrt (* wj (+ wj (* x -2))))
3.0ms	(pow (cbrt (* wj (+ wj (* x -2)))) 6)

series279.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(pow (pow (cbrt (* wj (+ wj (* x -2)))) 6) 1/3)
77.0ms	(pow (cbrt (* wj (+ wj (* x -2)))) 6)
47.0ms	(cbrt (* wj (+ wj (* x -2))))
45.0ms	(cbrt (* wj (+ wj (* x -2))))

simplify46.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5021	856

prune201.0ms (5.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	77	11	88

Merged error: 0.5b

Counts

88 → 11

regimes149.0ms (3.9%)

Accuracy

Total 0.6b remaining (67.4%)

Threshold costs 0.6b (67.4%)

bsearch15.0ms (0.4%)

Steps

Iters	Range		Point
7	5.677089670872761e-10	1.152502768131149e-07	7.795004187076639e-09

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	27
1	34	27

end0.0ms (0%)

sample1.5s (41%)

Algorithm

1×

intervals

Results

869.0ms	3872×	body	5120	exit
220.0ms	6135×	body	80	valid
97.0ms	839×	body	320	valid
84.0ms	482×	body	640	valid
40.0ms	544×	body	160	valid
4.0ms	93×	body	80	invalid
0.0ms	13×	body	80	overflowed

Details

analyze327.0ms (8.7%)

sample51.0ms (1.3%)

simplify67.0ms (1.8%)

prune12.0ms (0.3%)

localize8.0ms (0.2%)

rewrite45.0ms (1.2%)

series41.0ms (1.1%)

simplify66.0ms (1.8%)

prune175.0ms (4.6%)

localize6.0ms (0.2%)

rewrite10.0ms (0.3%)

series13.0ms (0.3%)

simplify56.0ms (1.5%)

prune89.0ms (2.4%)

localize10.0ms (0.3%)

rewrite21.0ms (0.6%)

series196.0ms (5.2%)

simplify58.0ms (1.6%)

prune243.0ms (6.4%)

localize18.0ms (0.5%)

rewrite18.0ms (0.5%)

series279.0ms (7.4%)

simplify46.0ms (1.2%)

prune201.0ms (5.3%)

regimes149.0ms (3.9%)

bsearch15.0ms (0.4%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.5s (41%)

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