Details

analyze79.0ms (6.6%)

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
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

sample12.0ms (1%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

prune5.0ms (0.4%)

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: 4.1b

Counts

2 → 1

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* y y))
3.9b	(* x (+ 1.0 (* y y)))

rewrite9.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

5.0ms	(* x (+ 1.0 (* y y)))
3.0ms	(+ 1.0 (* y y))

series14.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(* x (+ 1.0 (* y y)))
4.0ms	(+ 1.0 (* y y))

simplify58.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4932	307
1	4932	307

prune71.0ms (5.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	5	40

Merged error: 3.9b

Counts

40 → 5

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (* y y)))
9.8b	(* x (* y y))

rewrite10.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

5.0ms	(* x (* y y))
4.0ms	(+ (* x 1.0) (* x (* y y)))

series17.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* x (* y y)))
7.0ms	(* x (* y y))

simplify37.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5399	271

prune58.0ms (4.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	37	5	42

Merged error: 0.0b

Counts

42 → 5

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x y) y))
0.2b	(* (* x y) y)

rewrite9.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

5.0ms	(* (* x y) y)
4.0ms	(+ (* x 1.0) (* (* x y) y))

series16.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* (* x y) y))
6.0ms	(* (* x y) y)

simplify29.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5034	256

prune54.0ms (4.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

localize10.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
8.0b	(* x (* y (* (cbrt y) (cbrt y))))

rewrite16.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 54

Calls

4 calls:

11.0ms	(* x (* y (* (cbrt y) (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series88.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt y)
22.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(* x (* y (* (cbrt y) (cbrt y))))

simplify68.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4869	298
1	4869	298

prune82.0ms (6.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	65	7	72

Merged error: 0.0b

Counts

72 → 7

regimes134.0ms (11.2%)

Accuracy

Total 0.1b remaining (80.1%)

Threshold costs 0.1b (80.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms (0%)

sample300.0ms (25.1%)

Algorithm

1×

intervals

Results

175.0ms	8000×	body	80	valid
4.0ms	177×	body	80	invalid

Details

analyze79.0ms (6.6%)

sample12.0ms (1%)

simplify3.0ms (0.3%)

prune5.0ms (0.4%)

localize5.0ms (0.4%)

rewrite9.0ms (0.7%)

series14.0ms (1.2%)

simplify58.0ms (4.8%)

prune71.0ms (5.9%)

localize6.0ms (0.5%)

rewrite10.0ms (0.8%)

series17.0ms (1.4%)

simplify37.0ms (3.1%)

prune58.0ms (4.8%)

localize6.0ms (0.5%)

rewrite9.0ms (0.8%)

series16.0ms (1.4%)

simplify29.0ms (2.4%)

prune54.0ms (4.5%)

localize10.0ms (0.8%)

rewrite16.0ms (1.4%)

series88.0ms (7.3%)

simplify68.0ms (5.7%)

prune82.0ms (6.9%)

regimes134.0ms (11.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample300.0ms (25.1%)

Profiling