Details

analyze265.0ms (16.5%)

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
12.5%	87.4%	0.1%	7
12.5%	71.8%	15.7%	8
25%	56.2%	18.9%	9
31.2%	43.7%	25.1%	10
39%	34.7%	26.3%	11
44.9%	27.9%	27.3%	12
47.8%	22%	30.2%	13
52.6%	16.8%	30.7%	14

sample20.0ms (1.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	16×	body	80	invalid

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	247	9
1	247	9

prune6.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (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:

4.0ms

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

series9.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify41.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4905	179
1	4905	179

prune28.0ms (1.7%)

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

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x x) (* y (* 4.0 z)))) (cbrt (- (* x x) (* y (* 4.0 z)))))
2.9b	(cbrt (- (* x x) (* y (* 4.0 z))))
2.9b	(cbrt (- (* x x) (* y (* 4.0 z))))
2.9b	(cbrt (- (* x x) (* y (* 4.0 z))))

rewrite26.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

11.0ms	(* (cbrt (- (* x x) (* y (* 4.0 z)))) (cbrt (- (* x x) (* y (* 4.0 z)))))
4.0ms	(cbrt (- (* x x) (* y (* 4.0 z))))
4.0ms	(cbrt (- (* x x) (* y (* 4.0 z))))
4.0ms	(cbrt (- (* x x) (* y (* 4.0 z))))

series102.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (- (* x x) (* y (* 4.0 z)))) (cbrt (- (* x x) (* y (* 4.0 z)))))
26.0ms	(cbrt (- (* x x) (* y (* 4.0 z))))
24.0ms	(cbrt (- (* x x) (* y (* 4.0 z))))
24.0ms	(cbrt (- (* x x) (* y (* 4.0 z))))

simplify64.0ms (4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4917	1739
1	4917	1739

prune313.0ms (19.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	99	2	101

Merged error: 0b

Counts

101 → 2

regimes279.0ms (17.4%)

Accuracy

Total 0.0b remaining (80.3%)

Threshold costs 0.0b (80.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	9
1	52	9

end0.0ms (0%)

sample423.0ms (26.3%)

Algorithm

1×

intervals

Results

234.0ms	8000×	body	80	valid
13.0ms	479×	body	80	invalid

Details

analyze265.0ms (16.5%)

sample20.0ms (1.3%)

simplify10.0ms (0.6%)

prune6.0ms (0.4%)

localize6.0ms (0.4%)

rewrite4.0ms (0.3%)

series9.0ms (0.6%)

simplify41.0ms (2.6%)

prune28.0ms (1.7%)

localize11.0ms (0.7%)

rewrite26.0ms (1.6%)

series102.0ms (6.3%)

simplify64.0ms (4%)

prune313.0ms (19.5%)

regimes279.0ms (17.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample423.0ms (26.3%)

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