Details

analyze439.0ms (16.3%)

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	78×	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

prune8.0ms (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: 21.6b

Counts

2 → 1

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(* x (+ y z))
1.8b	(+ (* x (+ y z)) (* y z))
20.4b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite22.0ms (0.8%)

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-+l+` `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:

9.0ms	(* x (+ y z))
6.0ms	(+ (* x (+ y z)) (* y z))
6.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series44.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

31.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
7.0ms	(+ (* x (+ y z)) (* y z))
6.0ms	(* x (+ y z))

simplify46.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5005	617

prune109.0ms (4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	7	61

Merged error: 21.5b

Counts

61 → 7

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.8b	(+ (* x (+ y z)) (* y z))
1.8b	(+ (* x (+ y z)) (* y z))
21.0b	(cbrt (+ (* x (+ y z)) (* y z)))
21.0b	(cbrt (+ (* x (+ y z)) (* y z)))

rewrite26.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `associate-+l+` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow1/3` `sum-log`

Counts

4 → 52

Calls

4 calls:

8.0ms	(+ (* x (+ y z)) (* y z))
6.0ms	(+ (* x (+ y z)) (* y z))
6.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
6.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

series127.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
56.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
7.0ms	(+ (* x (+ y z)) (* y z))
7.0ms	(+ (* x (+ y z)) (* y z))

simplify57.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5101	852

prune123.0ms (4.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	59	5	64
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	62	9	71

Merged error: 21.5b

Counts

71 → 9

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

20.4b	(sqrt (+ (* x (+ y z)) (* y z)))
20.4b	(sqrt (+ (* x (+ y z)) (* y z)))
21.0b	(cbrt (* (sqrt (+ (* x (+ y z)) (* y z))) (sqrt (+ (* x (+ y z)) (* y z)))))
21.0b	(cbrt (+ (* x (+ y z)) (* y z)))

rewrite36.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`sqrt-div`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `flip3-+` `flip-+`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `sqrt-prod`
4×	`add-exp-log` `cbrt-prod` `frac-times` `add-cbrt-cube` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3` `associate-r/` `associate-l/`

Counts

4 → 60

Calls

4 calls:

14.0ms	(cbrt (* (sqrt (+ (* x (+ y z)) (* y z))) (sqrt (+ (* x (+ y z)) (* y z)))))
8.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
6.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
6.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

series173.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(cbrt (* (sqrt (+ (* x (+ y z)) (* y z))) (sqrt (+ (* x (+ y z)) (* y z)))))
54.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
32.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
31.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify59.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4965	1312
1	4965	1312

prune143.0ms (5.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	72	9	81

Merged error: 21.5b

Counts

81 → 9

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.8b	(+ (* x (+ y z)) (* y z))
20.4b	(sqrt (+ (* x (+ y z)) (* y z)))
20.4b	(sqrt (+ (* x (+ y z)) (* y z)))
21.0b	(cbrt (+ (* x (+ y z)) (* y z)))

rewrite28.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

8.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
6.0ms	(+ (* x (+ y z)) (* y z))
6.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
6.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

series126.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

54.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
33.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
31.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
7.0ms	(+ (* x (+ y z)) (* y z))

simplify48.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5038	961

prune109.0ms (4.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	68	9	77

Merged error: 21.5b

Counts

77 → 9

regimes216.0ms (8%)

Accuracy

Total 0.1b remaining (0.3%)

Threshold costs 0.1b (0.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms (0%)

sample664.0ms (24.7%)

Algorithm

1×

intervals

Results

355.0ms	8000×	body	80	valid
98.0ms	2311×	body	80	nan

Details

analyze439.0ms (16.3%)

sample25.0ms (0.9%)

simplify3.0ms (0.1%)

prune8.0ms (0.3%)

localize9.0ms (0.3%)

rewrite22.0ms (0.8%)

series44.0ms (1.6%)

simplify46.0ms (1.7%)

prune109.0ms (4%)

localize13.0ms (0.5%)

rewrite26.0ms (1%)

series127.0ms (4.7%)

simplify57.0ms (2.1%)

prune123.0ms (4.6%)

localize17.0ms (0.6%)

rewrite36.0ms (1.3%)

series173.0ms (6.5%)

simplify59.0ms (2.2%)

prune143.0ms (5.3%)

localize17.0ms (0.6%)

rewrite28.0ms (1%)

series126.0ms (4.7%)

simplify48.0ms (1.8%)

prune109.0ms (4.1%)

regimes216.0ms (8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample664.0ms (24.7%)

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