Details

analyze434.0ms (16.1%)

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
12.5%	87.4%	0.1%	7
15.6%	84.3%	0.1%	8
18.7%	71.8%	9.5%	9
23.4%	56%	20.6%	10
26.3%	52.2%	21.5%	11
31%	40.1%	28.9%	12
35.6%	28.9%	35.5%	13
36.8%	27.5%	35.7%	14

sample25.0ms (0.9%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	70×	body	80	nan

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	12
1	37	12

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: 21.1b

Counts

2 → 1

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(* z (+ x y))
1.6b	(+ (* x y) (* z (+ x y)))
19.9b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`pow1` `add-cube-cbrt`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-r`
3×	`flip3-+` `associate-l` `sqrt-prod` `flip-+`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `sqrt-div` `associate-*r/`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

6.0ms	(* z (+ x y))
4.0ms	(+ (* x y) (* z (+ x y)))
4.0ms	(sqrt (+ (* x y) (* z (+ x y))))

series44.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

32.0ms	(sqrt (+ (* x y) (* z (+ x y))))
7.0ms	(+ (* x y) (* z (+ x y)))
6.0ms	(* z (+ x y))

simplify42.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4917	621
1	4917	621

prune118.0ms (4.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	51	9	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	10	61

Merged error: 21.0b

Counts

61 → 10

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.6b	(+ (* x y) (* z (+ x y)))
1.6b	(+ (* x y) (* z (+ x y)))
19.9b	(sqrt (+ (* x y) (* z (+ x y))))
19.9b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `associate-+r+` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 56

Calls

4 calls:

4.0ms	(+ (* x y) (* z (+ x y)))
4.0ms	(+ (* x y) (* z (+ x y)))
4.0ms	(sqrt (+ (* x y) (* z (+ x y))))
4.0ms	(sqrt (+ (* x y) (* z (+ x y))))

series82.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt (+ (* x y) (* z (+ x y))))
34.0ms	(sqrt (+ (* x y) (* z (+ x y))))
7.0ms	(+ (* x y) (* z (+ x y)))
7.0ms	(+ (* x y) (* z (+ x y)))

simplify42.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5303	916

prune116.0ms (4.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	70	8	78

Merged error: 21.0b

Counts

78 → 8

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

19.9b	(sqrt (* (* (cbrt (+ (* x y) (* z (+ x y)))) (cbrt (+ (* x y) (* z (+ x y))))) (cbrt (+ (* x y) (* z (+ x y))))))
20.5b	(cbrt (+ (* x y) (* z (+ x y))))
20.5b	(cbrt (+ (* x y) (* z (+ x y))))
20.5b	(cbrt (+ (* x y) (* z (+ x y))))

rewrite32.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 89

Calls

4 calls:

17.0ms	(sqrt (* (* (cbrt (+ (* x y) (* z (+ x y)))) (cbrt (+ (* x y) (* z (+ x y))))) (cbrt (+ (* x y) (* z (+ x y))))))
4.0ms	(cbrt (+ (* x y) (* z (+ x y))))
4.0ms	(cbrt (+ (* x y) (* z (+ x y))))
4.0ms	(cbrt (+ (* x y) (* z (+ x y))))

series208.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

60.0ms	(cbrt (+ (* x y) (* z (+ x y))))
58.0ms	(cbrt (+ (* x y) (* z (+ x y))))
55.0ms	(cbrt (+ (* x y) (* z (+ x y))))
35.0ms	(sqrt (* (* (cbrt (+ (* x y) (* z (+ x y)))) (cbrt (+ (* x y) (* z (+ x y))))) (cbrt (+ (* x y) (* z (+ x y))))))

simplify42.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5313	2858

prune173.0ms (6.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	102	7	109

Merged error: 21.0b

Counts

109 → 7

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(* z (+ x y))
0.4b	(pow (cbrt (+ (* x y) (* z (+ x y)))) 3/2)
1.6b	(+ (* x y) (* z (+ x y)))
20.5b	(cbrt (+ (* x y) (* z (+ x y))))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt`
7×	`pow1` `add-exp-log`
6×	`cbrt-prod` `unpow-prod-down` `add-cbrt-cube` `add-log-exp`
4×	`associate-r`
3×	`pow-unpow` `flip3-+` `associate-l` `flip-+`
2×	`distribute-rgt-in` `cbrt-div` `associate-+r+` `pow-pow` `distribute-lft-in` `pow1/3` `associate-*r/`
1×	`+-commutative` `pow-to-exp` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

6.0ms	(* z (+ x y))
5.0ms	(pow (cbrt (+ (* x y) (* z (+ x y)))) 3/2)
4.0ms	(+ (* x y) (* z (+ x y)))
4.0ms	(cbrt (+ (* x y) (* z (+ x y))))

series143.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(pow (cbrt (+ (* x y) (* z (+ x y)))) 3/2)
59.0ms	(cbrt (+ (* x y) (* z (+ x y))))
7.0ms	(+ (* x y) (* z (+ x y)))
6.0ms	(* z (+ x y))

simplify68.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4900	931
1	4900	931

prune127.0ms (4.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	79	10	89

Merged error: 20.5b

Counts

89 → 10

regimes220.0ms (8.2%)

Accuracy

Total 0.4b remaining (2.2%)

Threshold costs 0.4b (2.2%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms (0%)

sample663.0ms (24.6%)

Algorithm

1×

intervals

Results

354.0ms	8000×	body	80	valid
99.0ms	2340×	body	80	nan

Details

analyze434.0ms (16.1%)

sample25.0ms (0.9%)

simplify3.0ms (0.1%)

prune7.0ms (0.3%)

localize8.0ms (0.3%)

rewrite15.0ms (0.5%)

series44.0ms (1.7%)

simplify42.0ms (1.6%)

prune118.0ms (4.4%)

localize11.0ms (0.4%)

rewrite17.0ms (0.6%)

series82.0ms (3.1%)

simplify42.0ms (1.6%)

prune116.0ms (4.3%)

localize13.0ms (0.5%)

rewrite32.0ms (1.2%)

series208.0ms (7.7%)

simplify42.0ms (1.6%)

prune173.0ms (6.4%)

localize15.0ms (0.6%)

rewrite21.0ms (0.8%)

series143.0ms (5.3%)

simplify68.0ms (2.5%)

prune127.0ms (4.7%)

regimes220.0ms (8.2%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample663.0ms (24.6%)

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