Details

analyze250.0ms (14.5%)

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
31.2%	68.6%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
54.6%	41.3%	4%	10
59.3%	36.7%	4%	11
61.6%	32.6%	5.8%	12
68.3%	22.7%	9%	13
71%	20%	9%	14

sample14.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	17×	body	80	invalid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

prune8.0ms (0.5%)

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: 0.1b

Counts

2 → 2

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

3.8b	(/ (* x y) z)

rewrite5.0ms (0.3%)

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-/r`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/ (* x y) z)

series5.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (* x y) z)

simplify80.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4776	149
1	4776	149

prune53.0ms (3.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	17	7	24
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	17	9	26

Merged error: 0.0b

Counts

26 → 9

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

3.9b	(* (* x y) (/ 1 z))

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 38

Calls

1 calls:

7.0ms

(* (* x y) (/ 1 z))

series5.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(* (* x y) (/ 1 z))

simplify53.0ms (3%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5018	256

prune62.0ms (3.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	41	9	50

Merged error: 0.0b

Counts

50 → 9

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (/ z (* x y)))
3.8b	(/ z (* x y))

rewrite12.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac`
28×	`add-exp-log`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
4×	`prod-exp`
3×	`pow1` `rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 77

Calls

2 calls:

6.0ms	(/ 1 (/ z (* x y)))
4.0ms	(/ z (* x y))

series11.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(/ 1 (/ z (* x y)))
5.0ms	(/ z (* x y))

simplify59.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5514	643

prune100.0ms (5.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	84	8	92

Merged error: 0b

Counts

92 → 8

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

3.8b	(/ z (* x y))
11.6b	(cbrt (/ z (* x y)))
11.6b	(cbrt (/ z (* x y)))
11.6b	(cbrt (/ z (* x y)))

rewrite15.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

4.0ms	(/ z (* x y))
3.0ms	(cbrt (/ z (* x y)))
3.0ms	(cbrt (/ z (* x y)))
3.0ms	(cbrt (/ z (* x y)))

series60.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt (/ z (* x y)))
18.0ms	(cbrt (/ z (* x y)))
18.0ms	(cbrt (/ z (* x y)))
4.0ms	(/ z (* x y))

simplify61.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4948	635
1	4948	635

prune89.0ms (5.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	81	8	89

Merged error: 0b

Counts

89 → 8

regimes382.0ms (22.1%)

Accuracy

Total 0.3b remaining (96.3%)

Threshold costs 0.3b (96.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	49
1	23	49

end0.0ms (0%)

sample365.0ms (21.1%)

Algorithm

1×

intervals

Results

172.0ms	8000×	body	80	valid
22.0ms	785×	body	80	invalid

Details

analyze250.0ms (14.5%)

sample14.0ms (0.8%)

simplify3.0ms (0.2%)

prune8.0ms (0.5%)

localize4.0ms (0.2%)

rewrite5.0ms (0.3%)

series5.0ms (0.3%)

simplify80.0ms (4.7%)

prune53.0ms (3.1%)

localize5.0ms (0.3%)

rewrite8.0ms (0.5%)

series5.0ms (0.3%)

simplify53.0ms (3%)

prune62.0ms (3.6%)

localize5.0ms (0.3%)

rewrite12.0ms (0.7%)

series11.0ms (0.7%)

simplify59.0ms (3.4%)

prune100.0ms (5.8%)

localize11.0ms (0.7%)

rewrite15.0ms (0.8%)

series60.0ms (3.4%)

simplify61.0ms (3.6%)

prune89.0ms (5.2%)

regimes382.0ms (22.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample365.0ms (21.1%)

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