Details

analyze230.0ms (20%)

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%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

sample17.0ms (1.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify9.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	225	7
1	225	7

prune6.0ms (0.6%)

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: 0.0b

Counts

2 → 1

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(- x (* y (* 4.0 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 (* 4.0 z)))

series8.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(- x (* y (* 4.0 z)))

simplify50.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4880	145
1	4880	145

prune22.0ms (2%)

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: 0.0b

Counts

15 → 2

localize16.0ms (1.4%)

Local error

Found 4 expressions with local error:

3.0b	(- (* x x) (* y (* y (* 4.0 (* 4.0 (* z z))))))
3.9b	(* y (* y (* 4.0 (* 4.0 (* z z)))))
8.4b	(* y (* 4.0 (* 4.0 (* z z))))
25.8b	(/ (- (* x x) (* y (* y (* 4.0 (* 4.0 (* z z)))))) (+ x (* y (* 4.0 z))))

rewrite36.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-exp-log` `add-cbrt-cube`
38×	`pow1`
25×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`associate-l` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `associate-r` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 94

Calls

4 calls:

11.0ms	(* y (* y (* 4.0 (* 4.0 (* z z)))))
9.0ms	(* y (* 4.0 (* 4.0 (* z z))))
7.0ms	(/ (- (* x x) (* y (* y (* 4.0 (* 4.0 (* z z)))))) (+ x (* y (* 4.0 z))))
5.0ms	(- (* x x) (* y (* y (* 4.0 (* 4.0 (* z z))))))

series58.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* x x) (* y (* y (* 4.0 (* 4.0 (* z z))))))
21.0ms	(/ (- (* x x) (* y (* y (* 4.0 (* 4.0 (* z z)))))) (+ x (* y (* 4.0 z))))
7.0ms	(* y (* y (* 4.0 (* 4.0 (* z z)))))
7.0ms	(* y (* 4.0 (* 4.0 (* z z))))

simplify47.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4954	1832
1	4954	1832

prune166.0ms (14.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	106	2	108

Merged error: 0.0b

Counts

108 → 2

regimes116.0ms (10.1%)

Accuracy

Total 0.0b remaining (2.6%)

Threshold costs 0.0b (2.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	7
1	51	7

end0.0ms (0%)

sample356.0ms (31.1%)

Algorithm

1×

intervals

Results

192.0ms	8000×	body	80	valid
7.0ms	298×	body	80	invalid

Details

analyze230.0ms (20%)

sample17.0ms (1.5%)

simplify9.0ms (0.8%)

prune6.0ms (0.6%)

localize5.0ms (0.4%)

rewrite3.0ms (0.3%)

series8.0ms (0.7%)

simplify50.0ms (4.3%)

prune22.0ms (2%)

localize16.0ms (1.4%)

rewrite36.0ms (3.2%)

series58.0ms (5.1%)

simplify47.0ms (4.1%)

prune166.0ms (14.4%)

regimes116.0ms (10.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample356.0ms (31.1%)

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