Details

analyze54.0ms (2%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
56.2%	43.7%	0.1%	6
65.6%	34.3%	0.1%	7
76.5%	23.4%	0.1%	8
82%	18%	0.1%	9
87.8%	12.1%	0.1%	10
90.7%	9.2%	0.1%	11
93.8%	6.1%	0.1%	12
95.3%	4.6%	0.1%	13
96.8%	3.1%	0.1%	14

sample11.0ms (0.4%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

prune5.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
3×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

6.0ms

(+ (+ x y) x)

series4.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(+ (+ x y) x)

simplify59.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5128	116

prune24.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
0.5b	(cbrt (+ x (+ x y)))
0.5b	(cbrt (+ x (+ x y)))
0.5b	(cbrt (+ x (+ x y)))

rewrite33.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
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 → 105

Calls

4 calls:

14.0ms	(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
5.0ms	(cbrt (+ x (+ x y)))
5.0ms	(cbrt (+ x (+ x y)))
5.0ms	(cbrt (+ x (+ x y)))

series139.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
33.0ms	(cbrt (+ x (+ x y)))
32.0ms	(cbrt (+ x (+ x y)))
32.0ms	(cbrt (+ x (+ x y)))

simplify63.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4847	1271
1	4847	1271

prune152.0ms (5.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	114	6	120

Merged error: 0.0b

Counts

120 → 6

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (pow (cbrt (+ x (+ x y))) 2)) (cbrt (pow (cbrt (+ x (+ x y))) 2)))
0.6b	(cbrt (pow (cbrt (+ x (+ x y))) 2))
0.6b	(cbrt (pow (cbrt (+ x (+ x y))) 2))
0.6b	(cbrt (pow (cbrt (+ x (+ x y))) 2))

rewrite54.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

222×	`cbrt-prod`
92×	`unpow-prod-down`
88×	`*-un-lft-identity`
77×	`add-sqr-sqrt`
36×	`unswap-sqr`
33×	`distribute-lft-out`
29×	`add-cube-cbrt`
22×	`swap-sqr`
19×	`unpow2` `sqr-pow`
16×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 171

Calls

4 calls:

22.0ms	(* (cbrt (pow (cbrt (+ x (+ x y))) 2)) (cbrt (pow (cbrt (+ x (+ x y))) 2)))
7.0ms	(cbrt (pow (cbrt (+ x (+ x y))) 2))
7.0ms	(cbrt (pow (cbrt (+ x (+ x y))) 2))
7.0ms	(cbrt (pow (cbrt (+ x (+ x y))) 2))

series209.0ms (8%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (cbrt (pow (cbrt (+ x (+ x y))) 2)) (cbrt (pow (cbrt (+ x (+ x y))) 2)))
52.0ms	(cbrt (pow (cbrt (+ x (+ x y))) 2))
50.0ms	(cbrt (pow (cbrt (+ x (+ x y))) 2))
49.0ms	(cbrt (pow (cbrt (+ x (+ x y))) 2))

simplify72.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5087	3262

prune507.0ms (19.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	182	7	189

Merged error: 0.0b

Counts

189 → 7

localize18.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow (cbrt (+ x (+ x y))) 2))
0.6b	(cbrt (cbrt (pow (cbrt (+ x (+ x y))) 2)))
0.6b	(cbrt (cbrt (pow (cbrt (+ x (+ x y))) 2)))
1.0b	(pow (cbrt (cbrt (pow (cbrt (+ x (+ x y))) 2))) 5)

rewrite38.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`cbrt-prod`
51×	`unpow-prod-down`
41×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
5×	`pow1` `add-exp-log` `sqr-pow`
4×	`pow1/3` `add-cbrt-cube` `unpow2` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 103

Calls

4 calls:

10.0ms	(pow (cbrt (cbrt (pow (cbrt (+ x (+ x y))) 2))) 5)
10.0ms	(cbrt (cbrt (pow (cbrt (+ x (+ x y))) 2)))
8.0ms	(cbrt (cbrt (pow (cbrt (+ x (+ x y))) 2)))
7.0ms	(cbrt (pow (cbrt (+ x (+ x y))) 2))

series258.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

105.0ms	(pow (cbrt (cbrt (pow (cbrt (+ x (+ x y))) 2))) 5)
52.0ms	(cbrt (pow (cbrt (+ x (+ x y))) 2))
51.0ms	(cbrt (cbrt (pow (cbrt (+ x (+ x y))) 2)))
50.0ms	(cbrt (cbrt (pow (cbrt (+ x (+ x y))) 2)))

simplify51.0ms (2%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4855	1845
1	4855	1845

prune414.0ms (15.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	3	3
Picked	0	1	1
Done	1	2	3
Total	115	7	122

Merged error: 0b

Counts

122 → 7

regimes161.0ms (6.2%)

Accuracy

Total 0.0b remaining (47.9%)

Threshold costs 0.0b (47.9%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms (0%)

sample255.0ms (9.8%)

Algorithm

1×

intervals

Results

124.0ms	8000×	body	80	valid
0.0ms	4×	body	80	invalid

Details

analyze54.0ms (2%)

sample11.0ms (0.4%)

simplify3.0ms (0.1%)

prune5.0ms (0.2%)

localize3.0ms (0.1%)

rewrite6.0ms (0.2%)

series4.0ms (0.1%)

simplify59.0ms (2.2%)

prune24.0ms (0.9%)

localize8.0ms (0.3%)

rewrite33.0ms (1.2%)

series139.0ms (5.3%)

simplify63.0ms (2.4%)

prune152.0ms (5.8%)

localize14.0ms (0.6%)

rewrite54.0ms (2.1%)

series209.0ms (8%)

simplify72.0ms (2.8%)

prune507.0ms (19.4%)

localize18.0ms (0.7%)

rewrite38.0ms (1.5%)

series258.0ms (9.9%)

simplify51.0ms (2%)

prune414.0ms (15.8%)

regimes161.0ms (6.2%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample255.0ms (9.8%)

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