Details

analyze368.0ms (23.8%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

sample19.0ms (1.2%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	26×	body	80	invalid

simplify47.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4992	11
1	4992	11

prune7.0ms (0.4%)

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: 0.0b

Counts

2 → 1

localize10.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
0.0b	(/ (- x z) y)

rewrite10.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

5.0ms	(/ (- x z) y)
3.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

series13.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
6.0ms	(/ (- x z) y)

simplify39.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4964	583
1	4964	583

prune75.0ms (4.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 0b

Counts

58 → 2

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.25 (- (/ x y) (/ z y)))))
0.0b	(- (/ x y) (/ z y))

rewrite18.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`times-frac`
6×	`add-log-exp`
4×	`add-cube-cbrt` `distribute-lft-out--` `difference-of-squares`
2×	`pow1` `add-exp-log` `associate-+r+` `add-cbrt-cube` `div-inv`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-rgt-out--` `distribute-lft-in` `flip3-+` `diff-log` `sum-log` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

2 → 35

Calls

2 calls:

14.0ms	(- (/ x y) (/ z y))
3.0ms	(+ 1.0 (* 4.0 (+ 0.25 (- (/ x y) (/ z y)))))

series13.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 1.0 (* 4.0 (+ 0.25 (- (/ x y) (/ z y)))))
6.0ms	(- (/ x y) (/ z y))

simplify34.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5046	526

prune55.0ms (3.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Merged error: 0b

Counts

43 → 2

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(/ (- x z) y)
0.0b	(* 4.0 (/ (- x z) y))

rewrite17.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 76

Calls

2 calls:

9.0ms	(* 4.0 (/ (- x z) y))
5.0ms	(/ (- x z) y)

series13.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(* 4.0 (/ (- x z) y))
6.0ms	(/ (- x z) y)

simplify44.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	6448	708

prune95.0ms (6.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	82	2	84

Merged error: 0b

Counts

84 → 2

regimes115.0ms (7.4%)

Accuracy

Total 0.0b remaining (84.3%)

Threshold costs 0.0b (84.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	13
1	32	13

end0.0ms (0%)

sample537.0ms (34.7%)

Algorithm

1×

intervals

Results

304.0ms	8000×	body	80	valid
36.0ms	961×	body	80	invalid

Details

analyze368.0ms (23.8%)

sample19.0ms (1.2%)

simplify47.0ms (3.1%)

prune7.0ms (0.4%)

localize10.0ms (0.6%)

rewrite10.0ms (0.6%)

series13.0ms (0.8%)

simplify39.0ms (2.5%)

prune75.0ms (4.9%)

localize8.0ms (0.5%)

rewrite18.0ms (1.2%)

series13.0ms (0.8%)

simplify34.0ms (2.2%)

prune55.0ms (3.6%)

localize8.0ms (0.5%)

rewrite17.0ms (1.1%)

series13.0ms (0.9%)

simplify44.0ms (2.9%)

prune95.0ms (6.2%)

regimes115.0ms (7.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample537.0ms (34.7%)

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