Details

analyze59.0ms (7.6%)

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

sample13.0ms (1.6%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify5.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	70	7
1	70	7

prune6.0ms (0.7%)

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

localize6.0ms (0.7%)

Local error

Found 1 expressions with local error:

0.0b	(/ (fabs (- x y)) (fabs y))

rewrite3.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

3.0ms

(/ (fabs (- x y)) (fabs y))

series7.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(/ (fabs (- x y)) (fabs y))

simplify100.0ms (12.9%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4529	332
1	4529	332

prune37.0ms (4.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Merged error: 0b

Counts

31 → 2

localize6.0ms (0.8%)

Local error

Found 1 expressions with local error:

0.2b	(* (fabs (- x y)) (/ 1 (fabs y)))

rewrite8.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`add-exp-log` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-l` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

7.0ms

(* (fabs (- x y)) (/ 1 (fabs y)))

series6.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(* (fabs (- x y)) (/ 1 (fabs y)))

simplify83.0ms (10.6%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4638	353
1	4638	353

prune44.0ms (5.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	39	2	41

Merged error: 0b

Counts

41 → 2

regimes99.0ms (12.7%)

Accuracy

Total 0.0b remaining (36.5%)

Threshold costs 0.0b (36.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms (0%)

sample296.0ms (38.1%)

Algorithm

1×

intervals

Results

172.0ms	8000×	body	80	valid
5.0ms	219×	body	80	invalid

Details

analyze59.0ms (7.6%)

sample13.0ms (1.6%)

simplify5.0ms (0.6%)

prune6.0ms (0.7%)

localize6.0ms (0.7%)

rewrite3.0ms (0.4%)

series7.0ms (0.8%)

simplify100.0ms (12.9%)

prune37.0ms (4.8%)

localize6.0ms (0.8%)

rewrite8.0ms (1%)

series6.0ms (0.7%)

simplify83.0ms (10.6%)

prune44.0ms (5.6%)

regimes99.0ms (12.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample296.0ms (38.1%)

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