Details

analyze342.0ms

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
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

sample22.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	27×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4992	11
1	4992	11

prune9.0ms

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: 0.0b

Counts

2 → 2

localize7.0ms

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

Algorithm

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:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify41.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4964	583
1	4964	583

prune60.0ms

Filtered

42 candidates to 57 candidates (-35.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	58	1	59

Merged error: 0b

Counts

59 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

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:

5.0ms	(/ (- x z) y)
10.0ms	(* 4.0 (/ (- x z) y))

series14.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	6448	708

prune73.0ms

Filtered

56 candidates to 82 candidates (-46.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	1	83

Merged error: 0b

Counts

83 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	13
1	26	13

end0.0ms

sample513.0ms

Algorithm

intervals

Results

295.0ms	8000×	body	80	valid
38.0ms	998×	body	80	invalid

Details

analyze342.0ms

sample22.0ms

simplify49.0ms

prune9.0ms

localize7.0ms

rewrite10.0ms

series13.0ms

simplify41.0ms

prune60.0ms

localize11.0ms

rewrite18.0ms

series14.0ms

simplify51.0ms

prune73.0ms

simplify1.0ms

end0.0ms

sample513.0ms

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