Details

analyze573.0ms (33.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample18.0ms (1.1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	48×	body	80	invalid

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	157	7
1	157	7

prune6.0ms (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 (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.2%)

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 t))

series10.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

10.0ms

(- (* x y) (* z t))

simplify42.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5477	145

prune24.0ms (1.4%)

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

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z t))
0.3b	(pow (- (* x y) (* z t)) 3)
35.3b	(cbrt (pow (- (* x y) (* z t)) 3))

rewrite14.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 59

Calls

3 calls:

5.0ms	(cbrt (pow (- (* x y) (* z t)) 3))
4.0ms	(pow (- (* x y) (* z t)) 3)
3.0ms	(- (* x y) (* z t))

series56.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

36.0ms	(pow (- (* x y) (* z t)) 3)
10.0ms	(cbrt (pow (- (* x y) (* z t)) 3))
10.0ms	(- (* x y) (* z t))

simplify31.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5083	812

prune89.0ms (5.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	68	2	70

Merged error: 0.0b

Counts

70 → 2

regimes328.0ms (19.4%)

Accuracy

Total 0.0b remaining (11%)

Threshold costs 0.0b (11%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms (0%)

sample475.0ms (28.1%)

Algorithm

1×

intervals

Results

212.0ms	8000×	body	80	valid
36.0ms	1346×	body	80	invalid

Details

analyze573.0ms (33.8%)

sample18.0ms (1.1%)

simplify7.0ms (0.4%)

prune6.0ms (0.4%)

localize5.0ms (0.3%)

rewrite4.0ms (0.2%)

series10.0ms (0.6%)

simplify42.0ms (2.5%)

prune24.0ms (1.4%)

localize9.0ms (0.5%)

rewrite14.0ms (0.8%)

series56.0ms (3.3%)

simplify31.0ms (1.8%)

prune89.0ms (5.2%)

regimes328.0ms (19.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample475.0ms (28.1%)

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