Details

analyze57.0ms (4.6%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample16.0ms (1.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

prune8.0ms (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: 0.1b

Counts

2 → 2

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(* (* x y) y)

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

4.0ms

(* (* x y) y)

series7.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (* x y) y)

simplify37.0ms (3%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5162	121

prune34.0ms (2.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	19	4	23

Merged error: 0.0b

Counts

23 → 4

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

9.8b	(* x (* y y))

rewrite6.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

5.0ms

(* x (* y y))

series7.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(* x (* y y))

simplify49.0ms (4%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5043	129

prune35.0ms (2.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	20	6	26

Merged error: 0.0b

Counts

26 → 6

localize8.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
7.1b	(* (* (cbrt x) (cbrt x)) (* y (* y (cbrt x))))

rewrite18.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`pow1` `add-exp-log`
17×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 61

Calls

4 calls:

13.0ms	(* (* (cbrt x) (cbrt x)) (* y (* y (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series76.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x)
22.0ms	(cbrt x)
22.0ms	(cbrt x)
10.0ms	(* (* (cbrt x) (cbrt x)) (* y (* y (cbrt x))))

simplify44.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5197	334

prune85.0ms (6.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	72	7	79

Merged error: 0.0b

Counts

79 → 7

localize12.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
7.1b	(* (* (cbrt x) (cbrt x)) (* y (* y (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))))

rewrite32.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`pow1` `add-exp-log`
35×	`pow-prod-down` `prod-exp` `cbrt-unprod`
31×	`add-cbrt-cube`
27×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 82

Calls

4 calls:

22.0ms	(* (* (cbrt x) (cbrt x)) (* y (* y (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))))
2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))

series102.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (cbrt x))
30.0ms	(cbrt (cbrt x))
30.0ms	(cbrt (cbrt x))
10.0ms	(* (* (cbrt x) (cbrt x)) (* y (* y (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))))

simplify52.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4901	536
1	4901	536

prune105.0ms (8.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	3	3
Picked	0	1	1
Done	1	2	3
Total	94	7	101

Merged error: 0.0b

Counts

101 → 7

regimes137.0ms (11.1%)

Accuracy

Total 0.1b remaining (69.8%)

Threshold costs 0.1b (69.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms (0%)

sample296.0ms (23.9%)

Algorithm

1×

intervals

Results

158.0ms	8000×	body	80	valid
3.0ms	188×	body	80	invalid

Details

analyze57.0ms (4.6%)

sample16.0ms (1.3%)

simplify3.0ms (0.2%)

prune8.0ms (0.6%)

localize3.0ms (0.3%)

rewrite5.0ms (0.4%)

series7.0ms (0.5%)

simplify37.0ms (3%)

prune34.0ms (2.7%)

localize3.0ms (0.3%)

rewrite6.0ms (0.5%)

series7.0ms (0.6%)

simplify49.0ms (4%)

prune35.0ms (2.8%)

localize8.0ms (0.6%)

rewrite18.0ms (1.4%)

series76.0ms (6.2%)

simplify44.0ms (3.6%)

prune85.0ms (6.9%)

localize12.0ms (0.9%)

rewrite32.0ms (2.6%)

series102.0ms (8.2%)

simplify52.0ms (4.2%)

prune105.0ms (8.5%)

regimes137.0ms (11.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample296.0ms (23.9%)

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