Details

analyze78.0ms (5.6%)

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
50%	50%	0.1%	5
50%	50%	0.1%	6
62.4%	34.3%	3.2%	7
62.4%	32.8%	4.8%	8
68.7%	21.1%	10.2%	9
68.7%	19.1%	12.2%	10
71.8%	11.5%	16.7%	11
71.8%	10.2%	18%	12
73.4%	6%	20.6%	13
73.4%	5.3%	21.3%	14

sample13.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	17×	body	80	invalid

simplify12.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	252	7
1	252	7

prune5.0ms (0.3%)

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: 6.4b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

9.3b	(/ x (* y y))

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

5.0ms

(/ x (* y y))

series5.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ x (* y y))

simplify37.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5024	152

prune46.0ms (3.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	5	25

Merged error: 0.0b

Counts

25 → 5

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(/ (/ x y) y)

rewrite9.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ (/ x y) y)

series7.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(/ (/ x y) y)

simplify85.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4714	702
1	4714	702

prune95.0ms (6.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	72	6	78

Merged error: 0b

Counts

78 → 6

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b	(* y (/ y x))
1.0b	(/ 1 (* y (/ y x)))

rewrite17.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log`
17×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
13×	`times-frac` `associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`div-exp`
8×	`prod-exp`
7×	`pow1`
5×	`cbrt-undiv`
4×	`cbrt-unprod`
3×	`rec-exp` `1-exp` `associate-l` `associate-/l*`
2×	`pow-flip` `associate-*r/` `pow-prod-down` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/r/` `-commutative` `inv-pow`

Counts

2 → 65

Calls

2 calls:

8.0ms	(/ 1 (* y (/ y x)))
6.0ms	(* y (/ y x))

series7.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ 1 (* y (/ y x)))
3.0ms	(* y (/ y x))

simplify63.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5183	428

prune84.0ms (6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	2	1	3
Picked	0	1	1
Done	1	1	2
Total	73	4	77

Merged error: 0b

Counts

77 → 4

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.2b	(/ (/ 1 y) (/ y x))

rewrite27.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

421×	`times-frac`
197×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
29×	`div-inv`
23×	`add-exp-log`
16×	`div-exp`
13×	`associate-/r` `add-cbrt-cube` `associate-/l`
8×	`cbrt-undiv`
2×	`rec-exp` `1-exp`
1×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `associate-/l/` `add-log-exp`

Counts

1 → 219

Calls

1 calls:

13.0ms

(/ (/ 1 y) (/ y x))

series4.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ (/ 1 y) (/ y x))

simplify90.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5104	3055

prune291.0ms (20.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	222	4	226

Merged error: 0b

Counts

226 → 4

regimes73.0ms (5.2%)

Accuracy

Total 0.1b remaining (82.1%)

Threshold costs 0.1b (82.1%)

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%)

sample324.0ms (23.2%)

Algorithm

1×

intervals

Results

186.0ms	8000×	body	80	valid
9.0ms	395×	body	80	invalid

Details

analyze78.0ms (5.6%)

sample13.0ms (0.9%)

simplify12.0ms (0.9%)

prune5.0ms (0.3%)

localize5.0ms (0.3%)

rewrite5.0ms (0.4%)

series5.0ms (0.4%)

simplify37.0ms (2.7%)

prune46.0ms (3.3%)

localize5.0ms (0.3%)

rewrite9.0ms (0.7%)

series7.0ms (0.5%)

simplify85.0ms (6.1%)

prune95.0ms (6.8%)

localize6.0ms (0.4%)

rewrite17.0ms (1.2%)

series7.0ms (0.5%)

simplify63.0ms (4.5%)

prune84.0ms (6%)

localize6.0ms (0.4%)

rewrite27.0ms (1.9%)

series4.0ms (0.3%)

simplify90.0ms (6.5%)

prune291.0ms (20.8%)

regimes73.0ms (5.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample324.0ms (23.2%)

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