Details

analyze253.0ms (19.3%)

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample14.0ms (1.1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	20×	body	80	invalid

simplify11.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

prune5.0ms (0.4%)

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

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

8.0ms	(* y (- z x))
3.0ms	(+ x (* y (- z x)))

series22.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(* y (- z x))
7.0ms	(+ x (* y (- z x)))

simplify56.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4949	327
1	4949	327

prune56.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0.0b

Counts

44 → 2

localize12.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

rewrite21.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
4.0ms	(cbrt (* y (- z x)))
4.0ms	(cbrt (* y (- z x)))
4.0ms	(cbrt (* y (- z x)))

series152.0ms (11.6%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
37.0ms	(cbrt (* y (- z x)))
36.0ms	(cbrt (* y (- z x)))
33.0ms	(cbrt (* y (- z x)))

simplify51.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5690	794

prune105.0ms (8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	84	2	86

Merged error: 0.0b

Counts

86 → 2

regimes173.0ms (13.2%)

Accuracy

Total 0.0b remaining (15.4%)

Threshold costs 0.0b (15.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms (0%)

sample364.0ms (27.7%)

Algorithm

1×

intervals

Results

180.0ms	8000×	body	80	valid
15.0ms	579×	body	80	invalid

Details

analyze253.0ms (19.3%)

sample14.0ms (1.1%)

simplify11.0ms (0.8%)

prune5.0ms (0.4%)

localize5.0ms (0.4%)

rewrite12.0ms (0.9%)

series22.0ms (1.6%)

simplify56.0ms (4.2%)

prune56.0ms (4.2%)

localize12.0ms (0.9%)

rewrite21.0ms (1.6%)

series152.0ms (11.6%)

simplify51.0ms (3.9%)

prune105.0ms (8%)

regimes173.0ms (13.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample364.0ms (27.7%)

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