Details

analyze764.0ms (38.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample23.0ms (1.1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	48×	body	80	invalid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune6.0ms (0.3%)

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

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+ (* x y) (* z t))

series10.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

10.0ms

(+ (* x y) (* z t))

simplify69.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4873	141
1	4873	141

prune21.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.3b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.0b	(sqrt (+ (* x y) (* z t)))
1.0b	(sqrt (+ (* x y) (* z t)))

rewrite27.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `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` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

11.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
6.0ms	(sqrt (+ (* x y) (* z t)))
4.0ms	(sqrt (+ (* x y) (* z t)))
4.0ms	(+ (* x y) (* z t))

series57.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (+ (* x y) (* z t)))
19.0ms	(sqrt (+ (* x y) (* z t)))
10.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
9.0ms	(+ (* x y) (* z t))

simplify35.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5517	1320

prune117.0ms (5.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Merged error: 0.0b

Counts

112 → 2

regimes338.0ms (17.1%)

Accuracy

Total 0.0b remaining (16.1%)

Threshold costs 0.0b (16.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms (0%)

sample484.0ms (24.6%)

Algorithm

1×

intervals

Results

220.0ms	8000×	body	80	valid
36.0ms	1394×	body	80	invalid

Details

analyze764.0ms (38.7%)

sample23.0ms (1.1%)

simplify3.0ms (0.1%)

prune6.0ms (0.3%)

localize5.0ms (0.3%)

rewrite4.0ms (0.2%)

series10.0ms (0.5%)

simplify69.0ms (3.5%)

prune21.0ms (1.1%)

localize8.0ms (0.4%)

rewrite27.0ms (1.4%)

series57.0ms (2.9%)

simplify35.0ms (1.8%)

prune117.0ms (5.9%)

regimes338.0ms (17.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample484.0ms (24.6%)

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