Details

analyze220.0ms (19.7%)

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39.8%	5.6%	10
58.5%	35.5%	6%	11
67.3%	26.5%	6.2%	12
71.7%	19.1%	9.2%	13
74.1%	16.6%	9.4%	14

sample15.0ms (1.3%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify7.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	112	5
1	112	5

prune6.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(- x (* y z))

rewrite3.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 11

Calls

1 calls:

3.0ms

(- x (* y z))

series7.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(- x (* y z))

simplify50.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4972	109
1	4972	109

prune23.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize6.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(- x (* y z))
0.0b	(sqrt (- x (* y z)))
0.0b	(sqrt (- x (* y z)))
0.3b	(* (sqrt (- x (* y z))) (sqrt (- x (* y z))))

rewrite21.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

10.0ms	(* (sqrt (- x (* y z))) (sqrt (- x (* y z))))
3.0ms	(- x (* y z))
2.0ms	(sqrt (- x (* y z)))
2.0ms	(sqrt (- x (* y z)))

series57.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (- x (* y z)))
18.0ms	(sqrt (- x (* y z)))
11.0ms	(* (sqrt (- x (* y z))) (sqrt (- x (* y z))))
7.0ms	(- x (* y z))

simplify39.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4918	1080
1	4918	1080

prune118.0ms (10.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Merged error: 0b

Counts

112 → 2

regimes194.0ms (17.5%)

Accuracy

Total 0.0b remaining (15.7%)

Threshold costs 0.0b (15.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	5
1	32	5

end0.0ms (0%)

sample342.0ms (30.7%)

Algorithm

1×

intervals

Results

166.0ms	8000×	body	80	valid
6.0ms	303×	body	80	invalid

Details

analyze220.0ms (19.7%)

sample15.0ms (1.3%)

simplify7.0ms (0.6%)

prune6.0ms (0.5%)

localize4.0ms (0.4%)

rewrite3.0ms (0.3%)

series7.0ms (0.6%)

simplify50.0ms (4.5%)

prune23.0ms (2.1%)

localize6.0ms (0.6%)

rewrite21.0ms (1.9%)

series57.0ms (5.1%)

simplify39.0ms (3.5%)

prune118.0ms (10.6%)

regimes194.0ms (17.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample342.0ms (30.7%)

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