Details

analyze339.0ms (12.4%)

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	241×	body	80	valid
1.0ms	7×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	148	9
1	148	9

prune7.0ms (0.3%)

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: 0.1b

Counts

2 → 1

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+ x (+ (* (+ x y) 2) z))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

7.0ms

(+ x (+ (* (+ x y) 2) z))

series6.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ x (+ (* (+ x y) 2) z))

simplify42.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5080	204

prune32.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))
0.5b	(cbrt (+ x (+ (* (+ x y) 2) z)))
0.5b	(cbrt (+ x (+ (* (+ x y) 2) z)))
0.5b	(cbrt (+ x (+ (* (+ x y) 2) z)))

rewrite42.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`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 → 95

Calls

4 calls:

17.0ms	(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))
7.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
6.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))

series183.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))
43.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
41.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
41.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))

simplify72.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4832	1834
1	4832	1834

prune284.0ms (10.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	102	8	110

Merged error: 0b

Counts

110 → 8

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite31.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`*-un-lft-identity`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 59

Calls

4 calls:

8.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
8.0ms	(cbrt (cbrt (+ x (+ (* (+ x y) 2) z))))
7.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))

series180.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(cbrt (cbrt (+ x (+ (* (+ x y) 2) z))))
44.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
43.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
42.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))

simplify28.0ms (1%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5036	1092

prune269.0ms (9.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	71	8	79

Merged error: 0b

Counts

79 → 8

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (+ (* (+ x y) 2) z)))
0.5b	(cbrt (+ x (+ (* (+ x y) 2) z)))
0.5b	(cbrt (+ x (+ (* (+ x y) 2) z)))
0.5b	(cbrt (+ x (+ (* (+ x y) 2) z)))

rewrite29.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

7.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))

series168.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
43.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
41.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
41.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))

simplify24.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5345	1028

prune284.0ms (10.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	68	8	76

Merged error: 0b

Counts

76 → 8

regimes211.0ms (7.7%)

Accuracy

Total 0.0b remaining (48.1%)

Threshold costs 0.0b (48.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms (0%)

sample418.0ms (15.3%)

Algorithm

1×

intervals

Results

202.0ms	7455×	body	80	valid
18.0ms	190×	body	640	valid
16.0ms	140×	body	1280	valid
9.0ms	125×	body	320	valid
3.0ms	23×	body	2560	valid
3.0ms	67×	body	160	valid
0.0ms	8×	body	80	invalid

Details

analyze339.0ms (12.4%)

sample16.0ms (0.6%)

simplify5.0ms (0.2%)

prune7.0ms (0.3%)

localize6.0ms (0.2%)

rewrite8.0ms (0.3%)

series6.0ms (0.2%)

simplify42.0ms (1.6%)

prune32.0ms (1.2%)

localize10.0ms (0.4%)

rewrite42.0ms (1.5%)

series183.0ms (6.7%)

simplify72.0ms (2.6%)

prune284.0ms (10.4%)

localize16.0ms (0.6%)

rewrite31.0ms (1.1%)

series180.0ms (6.6%)

simplify28.0ms (1%)

prune269.0ms (9.9%)

localize17.0ms (0.6%)

rewrite29.0ms (1.1%)

series168.0ms (6.2%)

simplify24.0ms (0.9%)

prune284.0ms (10.4%)

regimes211.0ms (7.7%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample418.0ms (15.3%)

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