Details

analyze62.0ms (7.6%)

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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

sample16.0ms (2%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify3.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	7
1	44	7

prune5.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite10.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

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

series9.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

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

simplify30.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5115	268

prune37.0ms (4.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Merged error: 0b

Counts

32 → 2

localize7.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

rewrite30.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`sqrt-prod`
33×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `distribute-rgt-out` `pow-plus` `sqrt-unprod` `distribute-rgt1-in` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

14.0ms	(* (sqrt (+ x (+ y (* x y)))) (sqrt (+ x (+ y (* x y)))))
5.0ms	(sqrt (+ x (+ y (* x y))))
5.0ms	(sqrt (+ x (+ y (* x y))))
3.0ms	(+ y (* x y))

series28.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt (+ x (+ y (* x y))))
9.0ms	(sqrt (+ x (+ y (* x y))))
5.0ms	(+ y (* x y))
4.0ms	(* (sqrt (+ x (+ y (* x y)))) (sqrt (+ x (+ y (* x y)))))

simplify50.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5072	1333

prune132.0ms (16.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0b

Counts

121 → 2

regimes94.0ms (11.4%)

Accuracy

Total 0.0b remaining (7.9%)

Threshold costs 0.0b (7.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample302.0ms (36.9%)

Algorithm

1×

intervals

Results

168.0ms	8000×	body	80	valid
5.0ms	76×	body	80	invalid

Details

analyze62.0ms (7.6%)

sample16.0ms (2%)

simplify3.0ms (0.4%)

prune5.0ms (0.6%)

localize4.0ms (0.5%)

rewrite10.0ms (1.2%)

series9.0ms (1.1%)

simplify30.0ms (3.6%)

prune37.0ms (4.5%)

localize7.0ms (0.8%)

rewrite30.0ms (3.6%)

series28.0ms (3.4%)

simplify50.0ms (6.1%)

prune132.0ms (16.2%)

regimes94.0ms (11.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample302.0ms (36.9%)

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