Details

analyze917.0ms (20.8%)

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.7%	90.9%	6.4%	9
4.1%	86.4%	9.5%	10
4.4%	86.1%	9.5%	11
19.7%	65.3%	15%	12
21.9%	60.4%	17.7%	13
22.7%	59.6%	17.7%	14

sample57.0ms (1.3%)

Algorithm

1×

intervals

Results

15.0ms	200×	body	80	valid
10.0ms	20×	body	1280	valid
7.0ms	24×	body	640	valid
4.0ms	8×	body	1280	invalid
2.0ms	7×	body	640	invalid
2.0ms	9×	body	320	valid
2.0ms	34×	body	80	nan
1.0ms	6×	body	320	invalid
1.0ms	15×	body	80	invalid
0.0ms	3×	body	160	valid

simplify36.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4988	11
1	4988	11

prune8.0ms (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: 6.6b

Counts

2 → 1

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (/ y (+ y z)) y) y)
0.0b	(+ x (/ (pow (/ y (+ y z)) y) y))
0.0b	(/ y (+ y z))
7.1b	(pow (/ y (+ y z)) y)

rewrite55.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac`
121×	`*-un-lft-identity`
90×	`unpow-prod-down`
81×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
20×	`distribute-lft-out`
17×	`add-exp-log`
12×	`associate-/r/`
8×	`add-cbrt-cube`
7×	`flip3-+` `div-exp` `associate-/r*` `flip-+` `div-inv`
6×	`add-log-exp`
5×	`pow1` `sqr-pow`
4×	`pow-exp`
3×	`pow-unpow`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`+-commutative` `pow-pow` `sum-log`

Counts

4 → 184

Calls

4 calls:

24.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
11.0ms	(/ (pow (/ y (+ y z)) y) y)
7.0ms	(pow (/ y (+ y z)) y)
5.0ms	(/ y (+ y z))

series67.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (pow (/ y (+ y z)) y) y)
20.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
18.0ms	(pow (/ y (+ y z)) y)
5.0ms	(/ y (+ y z))

simplify65.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4951	3086
1	4951	3086

prune261.0ms (5.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	190	6	196
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	191	6	197

Merged error: 0.3b

Counts

197 → 6

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.5b	(pow (/ (cbrt y) (cbrt (+ y z))) y)
3.2b	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`cbrt-prod`
49×	`unpow-prod-down`
47×	`*-un-lft-identity`
42×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
13×	`pow1`
7×	`pow-pow` `pow-exp`
6×	`pow-unpow` `distribute-lft-out`
5×	`div-exp`
4×	`prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `cbrt-div` `pow1/3` `associate-/r/` `sqr-pow`
1×	`pow2` `flip3-+` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up` `flip-+` `div-inv`

Counts

4 → 109

Calls

4 calls:

17.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)
11.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series114.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)
27.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
25.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4939	2012
1	4939	2012

prune197.0ms (4.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	123	4	127

Merged error: 0.1b

Counts

127 → 4

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.5b	(pow (/ (cbrt y) (cbrt (+ y z))) y)
1.5b	(pow (/ (cbrt y) (cbrt (+ y z))) (* y 2))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`cbrt-prod` `unpow-prod-down`
85×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`pow-unpow` `cbrt-div` `pow-exp` `associate-/r/` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 146

Calls

4 calls:

11.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) (* y 2))
11.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series105.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
29.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) (* y 2))
22.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify72.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4929	3099
1	4929	3099

prune278.0ms (6.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	158	4	162

Merged error: 0.1b

Counts

162 → 4

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
7.1b	(pow (/ y (+ y z)) y)

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3` `distribute-lft-out`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

7.0ms	(pow (/ y (+ y z)) y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series88.0ms (2%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt y)
23.0ms	(cbrt y)
22.0ms	(cbrt y)
18.0ms	(pow (/ y (+ y z)) y)

simplify57.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4958	747
1	4958	747

prune102.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	78	4	82

Merged error: 0.1b

Counts

82 → 4

regimes151.0ms (3.4%)

Accuracy

Total 0.8b remaining (71.2%)

Threshold costs 0.8b (71.2%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	18	25

end0.0ms (0%)

sample1.6s (35.8%)

Algorithm

1×

intervals

Results

368.0ms	5970×	body	80	valid
361.0ms	714×	body	1280	valid
229.0ms	695×	body	640	valid
86.0ms	407×	body	320	valid
74.0ms	237×	body	640	invalid
52.0ms	111×	body	1280	invalid
47.0ms	1007×	body	80	nan
36.0ms	178×	body	320	invalid
29.0ms	214×	body	160	valid
22.0ms	375×	body	80	invalid
13.0ms	104×	body	160	invalid

Details

analyze917.0ms (20.8%)

sample57.0ms (1.3%)

simplify36.0ms (0.8%)

prune8.0ms (0.2%)

localize8.0ms (0.2%)

rewrite55.0ms (1.3%)

series67.0ms (1.5%)

simplify65.0ms (1.5%)

prune261.0ms (5.9%)

localize16.0ms (0.4%)

rewrite35.0ms (0.8%)

series114.0ms (2.6%)

simplify66.0ms (1.5%)

prune197.0ms (4.5%)

localize18.0ms (0.4%)

rewrite31.0ms (0.7%)

series105.0ms (2.4%)

simplify72.0ms (1.6%)

prune278.0ms (6.3%)

localize13.0ms (0.3%)

rewrite12.0ms (0.3%)

series88.0ms (2%)

simplify57.0ms (1.3%)

prune102.0ms (2.3%)

regimes151.0ms (3.4%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.6s (35.8%)

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