Details

analyze301.0ms (23.8%)

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample16.0ms (1.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	16×	body	80	invalid

simplify15.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

prune6.0ms (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: 0.0b

Counts

2 → 1

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))

rewrite11.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- 1.0 x) z)
4.0ms	(+ (* x y) (* (- 1.0 x) z))

series15.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* x y) (* (- 1.0 x) z))
5.0ms	(* (- 1.0 x) z)

simplify49.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5197	345

prune59.0ms (4.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Merged error: 0.0b

Counts

40 → 2

localize9.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
0.1b	(* (- 1.0 x) (sqrt z))
0.2b	(* (* (- 1.0 x) (sqrt z)) (sqrt z))

rewrite22.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-cube-cbrt`
7×	`sqrt-prod`
6×	`associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 60

Calls

3 calls:

9.0ms	(* (* (- 1.0 x) (sqrt z)) (sqrt z))
7.0ms	(* (- 1.0 x) (sqrt z))
4.0ms	(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))

series23.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
6.0ms	(* (- 1.0 x) (sqrt z))
6.0ms	(* (* (- 1.0 x) (sqrt z)) (sqrt z))

simplify62.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4962	619
1	4962	619

prune86.0ms (6.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	69	2	71

Merged error: 0.0b

Counts

71 → 2

regimes163.0ms (12.8%)

Accuracy

Total 0.0b remaining (13.3%)

Threshold costs 0.0b (13.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms (0%)

sample421.0ms (33.2%)

Algorithm

1×

intervals

Results

228.0ms	8000×	body	80	valid
17.0ms	649×	body	80	invalid

Details

analyze301.0ms (23.8%)

sample16.0ms (1.3%)

simplify15.0ms (1.2%)

prune6.0ms (0.5%)

localize7.0ms (0.5%)

rewrite11.0ms (0.9%)

series15.0ms (1.2%)

simplify49.0ms (3.9%)

prune59.0ms (4.6%)

localize9.0ms (0.7%)

rewrite22.0ms (1.7%)

series23.0ms (1.8%)

simplify62.0ms (4.9%)

prune86.0ms (6.8%)

regimes163.0ms (12.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample421.0ms (33.2%)

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