Details

analyze271.0ms (15.5%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

sample19.0ms (1.1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	50×	body	80	invalid

simplify16.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	356	7
1	356	7

prune6.0ms (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: 0.0b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) z))
0.0b	(/ (- y x) z)

rewrite15.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
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` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 51

Calls

2 calls:

8.0ms	(+ x (/ (- y x) z))
6.0ms	(/ (- y x) z)

series13.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ x (/ (- y x) z))
6.0ms	(/ (- y x) z)

simplify43.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5763	519

prune67.0ms (3.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Merged error: 0b

Counts

58 → 3

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ z (- y x))))
0.0b	(/ z (- y x))
0.4b	(/ 1 (/ z (- y x)))

rewrite41.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac`
106×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

3 → 158

Calls

3 calls:

19.0ms	(+ x (/ 1 (/ z (- y x))))
10.0ms	(/ 1 (/ z (- y x)))
5.0ms	(/ z (- y x))

series20.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ 1 (/ z (- y x)))
7.0ms	(/ z (- y x))
6.0ms	(+ x (/ 1 (/ z (- y x))))

simplify56.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5340	1827

prune198.0ms (11.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	167	3	170

Merged error: 0b

Counts

170 → 3

localize17.0ms (1%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y x)) (cbrt (- y x)))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))

rewrite43.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

19.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
6.0ms	(cbrt (- y x))
6.0ms	(cbrt (- y x))
5.0ms	(cbrt (- y x))

series113.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
29.0ms	(cbrt (- y x))
28.0ms	(cbrt (- y x))
26.0ms	(cbrt (- y x))

simplify55.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4964	1021
1	4964	1021

prune135.0ms (7.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Merged error: 0b

Counts

116 → 3

regimes189.0ms (10.8%)

Accuracy

Total 0.0b remaining (48.8%)

Threshold costs 0.0b (48.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample424.0ms (24.2%)

Algorithm

1×

intervals

Results

201.0ms	8000×	body	80	valid
31.0ms	1350×	body	80	invalid

Details

analyze271.0ms (15.5%)

sample19.0ms (1.1%)

simplify16.0ms (0.9%)

prune6.0ms (0.3%)

localize5.0ms (0.3%)

rewrite15.0ms (0.9%)

series13.0ms (0.7%)

simplify43.0ms (2.5%)

prune67.0ms (3.8%)

localize6.0ms (0.4%)

rewrite41.0ms (2.3%)

series20.0ms (1.2%)

simplify56.0ms (3.2%)

prune198.0ms (11.3%)

localize17.0ms (1%)

rewrite43.0ms (2.4%)

series113.0ms (6.4%)

simplify55.0ms (3.1%)

prune135.0ms (7.7%)

regimes189.0ms (10.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample424.0ms (24.2%)

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