Details

analyze289.0ms (14.9%)

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
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

sample18.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	25×	body	80	invalid

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	40	9
1	40	9

prune7.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* (* z z) 3))
0.2b	(* (* z z) 3)

rewrite10.0ms (0.5%)

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-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

6.0ms	(* (* z z) 3)
4.0ms	(+ (* x y) (* (* z z) 3))

series14.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* x y) (* (* z z) 3))
3.0ms	(* (* z z) 3)

simplify52.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4940	295
1	4940	295

prune60.0ms (3.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (* z 3)))
0.2b	(* z (* z 3))

rewrite9.0ms (0.5%)

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-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(* z (* z 3))
4.0ms	(+ (* x y) (* z (* z 3)))

series14.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* x y) (* z (* z 3)))
3.0ms	(* z (* z 3))

simplify37.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5454	285

prune54.0ms (2.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	34	5	39

Merged error: 0.0b

Counts

39 → 5

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(* (* z z) 3)
0.3b	(* (sqrt (* (* z z) 3)) (sqrt (* (* z z) 3)))
18.1b	(sqrt (* (* z z) 3))
18.1b	(sqrt (* (* z z) 3))

rewrite30.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 109

Calls

4 calls:

12.0ms	(* (sqrt (* (* z z) 3)) (sqrt (* (* z z) 3)))
5.0ms	(* (* z z) 3)
4.0ms	(sqrt (* (* z z) 3))
4.0ms	(sqrt (* (* z z) 3))

series17.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (sqrt (* (* z z) 3)) (sqrt (* (* z z) 3)))
4.0ms	(sqrt (* (* z z) 3))
3.0ms	(sqrt (* (* z z) 3))
3.0ms	(* (* z z) 3)

simplify52.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5205	531

prune196.0ms (10.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	121	5	126

Merged error: 0b

Counts

126 → 5

localize20.0ms (1%)

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (* z z)) (* (sqrt (* (* z z) 3)) (sqrt 3)))
0.5b	(* (sqrt (* (* z z) 3)) (sqrt 3))
18.0b	(sqrt (* z z))
18.1b	(sqrt (* (* z z) 3))

rewrite42.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1`
38×	`pow-prod-down`
33×	`sqrt-pow1`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `sqrt-prod`
7×	`pow1/2` `associate-r`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative` `unswap-sqr`
1×	`pow2` `rem-sqrt-square` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 83

Calls

4 calls:

13.0ms	(* (sqrt (* z z)) (* (sqrt (* (* z z) 3)) (sqrt 3)))
13.0ms	(* (sqrt (* (* z z) 3)) (sqrt 3))
7.0ms	(sqrt (* (* z z) 3))
4.0ms	(sqrt (* z z))

series17.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (sqrt (* z z)) (* (sqrt (* (* z z) 3)) (sqrt 3)))
6.0ms	(* (sqrt (* (* z z) 3)) (sqrt 3))
4.0ms	(sqrt (* (* z z) 3))
1.0ms	(sqrt (* z z))

simplify57.0ms (3%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5116	692

prune152.0ms (7.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	95	5	100

Merged error: 0b

Counts

100 → 5

regimes283.0ms (14.6%)

Accuracy

Total 0.1b remaining (81.6%)

Threshold costs 0.1b (81.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms (0%)

sample477.0ms (24.7%)

Algorithm

1×

intervals

Results

266.0ms	8000×	body	80	valid
19.0ms	508×	body	80	invalid

Details

analyze289.0ms (14.9%)

sample18.0ms (0.9%)

simplify4.0ms (0.2%)

prune7.0ms (0.4%)

localize6.0ms (0.3%)

rewrite10.0ms (0.5%)

series14.0ms (0.7%)

simplify52.0ms (2.7%)

prune60.0ms (3.1%)

localize8.0ms (0.4%)

rewrite9.0ms (0.5%)

series14.0ms (0.7%)

simplify37.0ms (1.9%)

prune54.0ms (2.8%)

localize9.0ms (0.4%)

rewrite30.0ms (1.6%)

series17.0ms (0.9%)

simplify52.0ms (2.7%)

prune196.0ms (10.2%)

localize20.0ms (1%)

rewrite42.0ms (2.2%)

series17.0ms (0.9%)

simplify57.0ms (3%)

prune152.0ms (7.9%)

regimes283.0ms (14.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample477.0ms (24.7%)

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