Details

analyze321.0ms (10.5%)

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

sample54.0ms (1.8%)

Algorithm

1×

intervals

Results

27.0ms	131×	body	5120	exit
10.0ms	196×	body	80	valid
3.0ms	30×	body	320	valid
2.0ms	14×	body	640	valid
1.0ms	16×	body	160	valid
0.0ms	7×	body	80	invalid

simplify71.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	6196	12

prune7.0ms (0.2%)

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: 13.8b

Counts

2 → 1

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/ (- (/ x (exp wj)) wj) (+ wj 1))
0.0b	(/ x (exp wj))
4.5b	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

rewrite36.0ms (1.2%)

Algorithm

1×	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:

18.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))
11.0ms	(/ (- (/ x (exp wj)) wj) (+ wj 1))
4.0ms	(/ x (exp wj))

series27.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

10.0ms	(/ (- (/ x (exp wj)) wj) (+ wj 1))
9.0ms	(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))
7.0ms	(/ x (exp wj))

simplify52.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5860	1345

prune136.0ms (4.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	2	101

Merged error: 0.2b

Counts

101 → 2

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`associate-+r+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

3.0ms

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

series6.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify23.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5262	191

prune35.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	5	18

Merged error: 0.2b

Counts

18 → 5

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite18.0ms (0.6%)

Algorithm

1×	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:

8.0ms	(* (cbrt (+ x (* wj (+ wj (* x -2))))) (cbrt (+ x (* wj (+ wj (* x -2))))))
3.0ms	(cbrt (+ x (* wj (+ wj (* x -2)))))
2.0ms	(cbrt (+ x (* wj (+ wj (* x -2)))))
2.0ms	(cbrt (+ x (* wj (+ wj (* x -2)))))

series164.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (cbrt (+ x (* wj (+ wj (* x -2))))) (cbrt (+ x (* wj (+ wj (* x -2))))))
40.0ms	(cbrt (+ x (* wj (+ wj (* x -2)))))
39.0ms	(cbrt (+ x (* wj (+ wj (* x -2)))))
38.0ms	(cbrt (+ x (* wj (+ wj (* x -2)))))

simplify37.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5146	1924

prune266.0ms (8.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	98	6	104

Merged error: 0.2b

Counts

104 → 6

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/ (- (* x (exp (neg wj))) wj) (+ wj 1))
0.0b	(* x (exp (neg wj)))
4.5b	(+ wj (/ (- (* x (exp (neg wj))) wj) (+ wj 1)))

rewrite32.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `distribute-lft-out` `add-log-exp`
4×	`associate-/r*`
3×	`associate-r` `associate-l` `associate-/l*`
2×	`exp-neg` `flip3-+` `div-sub` `associate-*r/` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `associate-+r-` `flip3--` `frac-2neg` `exp-diff` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `un-div-inv` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

13.0ms	(+ wj (/ (- (* x (exp (neg wj))) wj) (+ wj 1)))
11.0ms	(/ (- (* x (exp (neg wj))) wj) (+ wj 1))
6.0ms	(* x (exp (neg wj)))

series24.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ wj (/ (- (* x (exp (neg wj))) wj) (+ wj 1)))
9.0ms	(/ (- (* x (exp (neg wj))) wj) (+ wj 1))
6.0ms	(* x (exp (neg wj)))

simplify54.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5176	950

prune93.0ms (3.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	79	6	85

Merged error: 0.2b

Counts

85 → 6

regimes95.0ms (3.1%)

Accuracy

Total 1.7b remaining (85.7%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms (0%)

sample1.5s (47.9%)

Algorithm

1×

intervals

Results

806.0ms	3729×	body	5120	exit
223.0ms	6243×	body	80	valid
87.0ms	762×	body	320	valid
81.0ms	469×	body	640	valid
38.0ms	526×	body	160	valid
3.0ms	80×	body	80	invalid
0.0ms	15×	body	80	overflowed

Details

analyze321.0ms (10.5%)

sample54.0ms (1.8%)

simplify71.0ms (2.3%)

prune7.0ms (0.2%)

localize8.0ms (0.3%)

rewrite36.0ms (1.2%)

series27.0ms (0.9%)

simplify52.0ms (1.7%)

prune136.0ms (4.5%)

localize6.0ms (0.2%)

rewrite4.0ms (0.1%)

series6.0ms (0.2%)

simplify23.0ms (0.8%)

prune35.0ms (1.1%)

localize9.0ms (0.3%)

rewrite18.0ms (0.6%)

series164.0ms (5.4%)

simplify37.0ms (1.2%)

prune266.0ms (8.8%)

localize9.0ms (0.3%)

rewrite32.0ms (1.1%)

series24.0ms (0.8%)

simplify54.0ms (1.8%)

prune93.0ms (3.1%)

regimes95.0ms (3.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.5s (47.9%)

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