Details

analyze53.0ms (5.8%)

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

sample16.0ms (1.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify4.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	70	7
1	70	7

prune5.0ms (0.6%)

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 (0.6%)

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 (0.7%)

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify84.0ms (9.2%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4529	332
1	4529	332

prune37.0ms (4%)

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 (0.7%)

Local error

Found 2 expressions with local error:

0.0b	(/ (fabs y) (fabs (- x y)))
0.1b	(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite12.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 103

Calls

2 calls:

5.0ms	(/ 1 (/ (fabs y) (fabs (- x y))))
3.0ms	(/ (fabs y) (fabs (- x y)))

series12.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ (fabs y) (fabs (- x y)))
5.0ms	(/ 1 (/ (fabs y) (fabs (- x y))))

simplify104.0ms (11.4%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4562	1440
1	4562	1440

prune107.0ms (11.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	2	111

Merged error: 0b

Counts

111 → 2

regimes102.0ms (11.2%)

Accuracy

Total 0.0b remaining (39.8%)

Threshold costs 0.0b (39.8%)

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%)

sample352.0ms (38.7%)

Algorithm

1×

intervals

Results

204.0ms	8000×	body	80	valid
6.0ms	225×	body	80	invalid

Details

analyze53.0ms (5.8%)

sample16.0ms (1.8%)

simplify4.0ms (0.5%)

prune5.0ms (0.6%)

localize5.0ms (0.6%)

rewrite3.0ms (0.4%)

series7.0ms (0.7%)

simplify84.0ms (9.2%)

prune37.0ms (4%)

localize6.0ms (0.7%)

rewrite12.0ms (1.3%)

series12.0ms (1.3%)

simplify104.0ms (11.4%)

prune107.0ms (11.8%)

regimes102.0ms (11.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample352.0ms (38.7%)

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