Details

analyze2.3s (12.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	98.1%	1.9%	7
0%	98.1%	1.9%	8
0%	97.8%	2.2%	9
0%	96.8%	3.2%	10
0%	96.3%	3.7%	11
0%	94.3%	5.7%	12
0.4%	92.1%	7.5%	13
0.6%	90.8%	8.6%	14

Compiler

Compiled 35 to 24 computations (31.4% saved)

sample96.0ms (0.5%)

Algorithm

1×

intervals

Results

36.0ms	405×	body	128	nan
23.0ms	256×	body	128	valid
2.0ms	28×	body	128	invalid

Compiler

Compiled 75 to 53 computations (29.3% saved)

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

716×	`neg-mul-1_binary64` `neg-sub0_binary64`
377×	`distribute-rgt-neg-out_binary64`
358×	`cancel-sign-sub-inv_binary64`
354×	`distribute-lft-neg-out_binary64`
351×	`unsub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	42
1	58	42
2	180	42
3	719	39
4	2459	39
5	3995	39
6	5181	39

prune6.0ms (0%)

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

Error

32.9b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	34.1b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U U))))))))
	37.7b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (-.f64 (-.f64 t (.f64 2 (/.f64 (.f64 l l) Om))) (.f64 (.f64 n (pow.f64 (/.f64 l Om) 2)) (-.f64 U U)))))

Status

Error

Program

▶

34.1b

(sqrt.f64 (*.f64 (*.f64 (*.f64 2 n) U) (+.f64 t (*.f64 (/.f64 l Om) (+.f64 (*.f64 l -2) (*.f64 (/.f64 l Om) (*.f64 n (-.f64 U* U))))))))

37.7b

(sqrt.f64 (*.f64 (*.f64 (*.f64 2 n) U) (-.f64 (-.f64 t (*.f64 2 (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) 2)) (-.f64 U U*)))))

Compiler

Compiled 164 to 106 computations (35.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.8b	(.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))))
9.9b	(.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))
10.4b	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U U)))))))
21.6b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U U))))))))

rewrite410.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

28.5b

Rules

30×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
29×	`add-sqr-sqrt_binary64`
27×	`associate-l_binary64`
24×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
19×	`times-frac_binary64`

Counts

4 → 131

Calls

4 calls:

11.0ms	(.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))
10.0ms	(.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))))
9.0ms	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U U)))))))
7.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U U))))))))

Compiler

Compiled 4890 to 1897 computations (61.2% saved)

series1.2s (6.2%)

Error

20.5b

Counts

4 → 111

Calls

4 calls:

478.0ms	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U U)))))))
327.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U U))))))))
184.0ms	(.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))))
78.0ms	(.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))

Compiler

Compiled 10545 to 7425 computations (29.6% saved)

simplify293.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

628×	`*-commutative_binary64`
239×	`associate-*l/_binary64`
230×	`associate-/l*_binary64`
222×	`distribute-rgt-in_binary64`
205×	`distribute-lft-in_binary64`

Counts

242 → 223

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	528	8551
1	1618	8063
2	4292	7826
3	4962	7826
4	4998	7826
5	4951	7826

prune251.0ms (1.3%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	202	21	223
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	204	21	225

Error

19.2b

Counts

225 → 21

Alt Table

Status	Error	Program
	44.5b	(-.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 t (.f64 U n)))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 l l)) Om) (sqrt.f64 (/.f64 (*.f64 U n) t))))
	42.0b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 t (*.f64 U n))))
	51.5b	(sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 U (.f64 2 n)) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2))))) 3)))
	36.1b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 U (.f64 2 n)) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (.f64 l -2))))))) (sqrt.f64 (sqrt.f64 (.f64 (.f64 U (.f64 2 n)) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (*.f64 l -2))))))))
	61.8b	(neg.f64 (.f64 n (sqrt.f64 (.f64 -2 (.f64 U (-.f64 (/.f64 (.f64 U (.f64 l l)) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om))))))))
	56.7b	(.f64 (sqrt.f64 (.f64 (.f64 U n) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 (.f64 U n) (.f64 Om Om)) (/.f64 2 Om))))) (*.f64 (sqrt.f64 2) l))
	36.0b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) 1) (.f64 (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2)) (/.f64 (cbrt.f64 l) Om))))))
	62.1b	(sqrt.f64 (log.f64 (pow.f64 (exp.f64 (.f64 U (.f64 2 n))) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (*.f64 l -2)))))))
	41.1b	(sqrt.f64 (-.f64 (.f64 2 (.f64 t (.f64 U n))) (.f64 4 (/.f64 (.f64 U (.f64 (*.f64 l l) n)) Om))))
	60.3b	(.f64 (sqrt.f64 (.f64 (.f64 U n) (.f64 (.f64 l l) (.f64 n (-.f64 U* U))))) (/.f64 (sqrt.f64 2) Om))
	35.9b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (.f64 l -2)))) (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (.f64 l -2))))) (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2))))))))
	36.1b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2)))))))
	47.6b	(.f64 (sqrt.f64 (.f64 U (.f64 2 n))) (sqrt.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2))))))
	40.2b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (.f64 n (-.f64 U U)) (*.f64 (/.f64 l Om) (/.f64 l Om))))))
	57.8b	(-.f64 (.f64 (.f64 (/.f64 (.f64 t (sqrt.f64 2)) l) (sqrt.f64 (/.f64 (.f64 U n) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 (.f64 U n) (.f64 Om Om)) (/.f64 2 Om)))))) -1/2) (.f64 (sqrt.f64 (.f64 (.f64 U n) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 (.f64 U n) (.f64 Om Om)) (/.f64 2 Om))))) (.f64 (sqrt.f64 2) l)))
	35.6b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 l (.f64 (-.f64 U U) (/.f64 n Om))))))))
	57.2b	(neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 U n) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 (.f64 U n) (.f64 Om Om)) (/.f64 2 Om))))) (*.f64 (sqrt.f64 2) l)))
▶	34.4b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (.f64 (.f64 n (-.f64 U U)) (/.f64 l (cbrt.f64 Om)))))))))
	41.3b	(sqrt.f64 (.f64 n (-.f64 (.f64 2 (.f64 t U)) (.f64 4 (/.f64 (.f64 U (.f64 l l)) Om)))))
	41.2b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 U (.f64 n (-.f64 t (+.f64 (/.f64 (.f64 U (.f64 (.f64 l l) n)) (.f64 Om Om)) (.f64 2 (/.f64 (*.f64 l l) Om))))))))
	60.8b	(sqrt.f64 (.f64 2 (/.f64 (.f64 (.f64 l l) (.f64 n (-.f64 U* U))) (/.f64 Om (/.f64 (*.f64 U n) Om)))))

Compiler

Compiled 5870 to 2589 computations (55.9% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.9b	(.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (.f64 (.f64 n (-.f64 U* U)) (/.f64 l (cbrt.f64 Om))))
6.7b	(.f64 (.f64 n (-.f64 U* U)) (/.f64 l (cbrt.f64 Om)))
10.4b	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (.f64 (.f64 n (-.f64 U U)) (/.f64 l (cbrt.f64 Om))))))))
21.6b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (.f64 (.f64 n (-.f64 U U)) (/.f64 l (cbrt.f64 Om)))))))))

rewrite380.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

18.8b

Rules

176×	`add-exp-log_binary64`
104×	`prod-exp_binary64`
76×	`add-cbrt-cube_binary64`
50×	`cbrt-unprod_binary64`
37×	`pow1_binary64`

Counts

4 → 166

Calls

4 calls:

24.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (.f64 (.f64 n (-.f64 U* U)) (/.f64 l (cbrt.f64 Om))))
12.0ms	(.f64 (.f64 n (-.f64 U* U)) (/.f64 l (cbrt.f64 Om)))
9.0ms	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (.f64 (.f64 n (-.f64 U U)) (/.f64 l (cbrt.f64 Om))))))))
6.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (.f64 (.f64 n (-.f64 U U)) (/.f64 l (cbrt.f64 Om)))))))))

Compiler

Compiled 7685 to 2807 computations (63.5% saved)

series1.2s (6.2%)

Error

19.2b

Counts

4 → 106

Calls

4 calls:

501.0ms	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (.f64 (.f64 n (-.f64 U U)) (/.f64 l (cbrt.f64 Om))))))))
333.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (.f64 (.f64 n (-.f64 U U)) (/.f64 l (cbrt.f64 Om)))))))))
163.0ms	(.f64 (.f64 n (-.f64 U* U)) (/.f64 l (cbrt.f64 Om)))
85.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (.f64 (.f64 n (-.f64 U* U)) (/.f64 l (cbrt.f64 Om))))

Compiler

Compiled 11017 to 7686 computations (30.2% saved)

simplify213.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

568×	`times-frac_binary64`
371×	`associate-/l*_binary64`
282×	`associate-/r*_binary64`
233×	`*-commutative_binary64`
219×	`associate-*l/_binary64`

Counts

272 → 236

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	573	10598
1	1598	7937
2	4896	7937
3	4991	7937

prune259.0ms (1.4%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	233	3	236
Fresh	2	18	20
Picked	0	1	1
Done	0	0	0
Total	235	22	257

Error

19.1b

Counts

257 → 22

Alt Table

Status	Error	Program
	44.5b	(-.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 t (.f64 U n)))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 l l)) Om) (sqrt.f64 (/.f64 (*.f64 U n) t))))
	42.0b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 t (*.f64 U n))))
	51.8b	(sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 U (.f64 2 n)) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (/.f64 (.f64 (-.f64 U U) (.f64 l n)) Om) (.f64 l -2))))) 3)))
	36.1b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 U (.f64 2 n)) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (.f64 l -2))))))) (sqrt.f64 (sqrt.f64 (.f64 (.f64 U (.f64 2 n)) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (*.f64 l -2))))))))
	61.8b	(neg.f64 (.f64 n (sqrt.f64 (.f64 -2 (.f64 U (-.f64 (/.f64 (.f64 U (.f64 l l)) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om))))))))
	56.7b	(.f64 (sqrt.f64 (.f64 (.f64 U n) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 (.f64 U n) (.f64 Om Om)) (/.f64 2 Om))))) (*.f64 (sqrt.f64 2) l))
	36.0b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) 1) (.f64 (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2)) (/.f64 (cbrt.f64 l) Om))))))
	62.1b	(sqrt.f64 (log.f64 (pow.f64 (exp.f64 (.f64 U (.f64 2 n))) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (*.f64 l -2)))))))
	41.1b	(sqrt.f64 (-.f64 (.f64 2 (.f64 t (.f64 U n))) (.f64 4 (/.f64 (.f64 U (.f64 (*.f64 l l) n)) Om))))
	38.5b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (neg.f64 (.f64 n (.f64 (cbrt.f64 (/.f64 1 Om)) (.f64 U l))))))))))
	60.3b	(.f64 (sqrt.f64 (.f64 (.f64 U n) (.f64 (.f64 l l) (.f64 n (-.f64 U* U))))) (/.f64 (sqrt.f64 2) Om))
	35.9b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (.f64 l -2)))) (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (.f64 l -2))))) (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2))))))))
	36.1b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2)))))))
	47.5b	(.f64 (sqrt.f64 (.f64 U (.f64 2 n))) (sqrt.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (/.f64 (.f64 (-.f64 U U) (.f64 l n)) Om) (.f64 l -2))))))
	40.2b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (.f64 n (-.f64 U U)) (*.f64 (/.f64 l Om) (/.f64 l Om))))))
	57.8b	(-.f64 (.f64 (.f64 (/.f64 (.f64 t (sqrt.f64 2)) l) (sqrt.f64 (/.f64 (.f64 U n) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 (.f64 U n) (.f64 Om Om)) (/.f64 2 Om)))))) -1/2) (.f64 (sqrt.f64 (.f64 (.f64 U n) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 (.f64 U n) (.f64 Om Om)) (/.f64 2 Om))))) (.f64 (sqrt.f64 2) l)))
▶	35.6b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 l (.f64 (-.f64 U U) (/.f64 n Om))))))))
	57.2b	(neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 U n) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 (.f64 U n) (.f64 Om Om)) (/.f64 2 Om))))) (*.f64 (sqrt.f64 2) l)))
✓	34.4b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (.f64 (.f64 n (-.f64 U U)) (/.f64 l (cbrt.f64 Om)))))))))
	41.3b	(sqrt.f64 (.f64 n (-.f64 (.f64 2 (.f64 t U)) (.f64 4 (/.f64 (.f64 U (.f64 l l)) Om)))))
	41.2b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 U (.f64 n (-.f64 t (+.f64 (/.f64 (.f64 U (.f64 (.f64 l l) n)) (.f64 Om Om)) (.f64 2 (/.f64 (*.f64 l l) Om))))))))
	60.8b	(sqrt.f64 (.f64 2 (/.f64 (.f64 (.f64 l l) (.f64 n (-.f64 U* U))) (/.f64 Om (/.f64 (*.f64 U n) Om)))))

Compiler

Compiled 6056 to 2734 computations (54.9% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.6b	(.f64 l (.f64 (-.f64 U* U) (/.f64 n Om)))
8.0b	(.f64 (-.f64 U U) (/.f64 n Om))
10.4b	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 l (.f64 (-.f64 U U) (/.f64 n Om)))))))
21.6b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 l (.f64 (-.f64 U U) (/.f64 n Om))))))))

rewrite235.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

18.8b

Rules

30×	`pow1_binary64`
27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
21×	`add-sqr-sqrt_binary64`
17×	`associate-r_binary64`
16×	`pow-prod-down_binary64` `*-un-lft-identity_binary64`

Counts

4 → 103

Calls

4 calls:

10.0ms	(.f64 (-.f64 U U) (/.f64 n Om))
10.0ms	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 l (.f64 (-.f64 U U) (/.f64 n Om)))))))
10.0ms	(.f64 l (.f64 (-.f64 U* U) (/.f64 n Om)))
7.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 l (.f64 (-.f64 U U) (/.f64 n Om))))))))

Compiler

Compiled 3621 to 1469 computations (59.4% saved)

series1.0s (5.3%)

Error

19.1b

Counts

4 → 103

Calls

4 calls:

477.0ms	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 l (.f64 (-.f64 U U) (/.f64 n Om)))))))
324.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 l (.f64 (-.f64 U U) (/.f64 n Om))))))))
75.0ms	(.f64 l (.f64 (-.f64 U* U) (/.f64 n Om)))
54.0ms	(.f64 (-.f64 U U) (/.f64 n Om))

Compiler

Compiled 9837 to 6875 computations (30.1% saved)

simplify168.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

586×	`associate-r_binary64`
555×	`associate-l_binary64`
189×	`associate-/l*_binary64`
184×	`*-commutative_binary64`
156×	`associate-*r/_binary64`

Counts

206 → 177

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	440	6729
1	1242	6096
2	4735	6096
3	4993	6096

prune200.0ms (1.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	173	4	177
Fresh	3	17	20
Picked	1	0	1
Done	0	1	1
Total	177	22	199

Error

18.3b

Counts

199 → 22

Alt Table

Status	Error	Program
	44.5b	(-.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 t (.f64 U n)))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 l l)) Om) (sqrt.f64 (/.f64 (*.f64 U n) t))))
	42.0b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 t (*.f64 U n))))
	36.1b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 U (.f64 2 n)) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (.f64 l -2))))))) (sqrt.f64 (sqrt.f64 (.f64 (.f64 U (.f64 2 n)) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (*.f64 l -2))))))))
	61.8b	(neg.f64 (.f64 n (sqrt.f64 (.f64 -2 (.f64 U (-.f64 (/.f64 (.f64 U (.f64 l l)) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om))))))))
	56.7b	(.f64 (sqrt.f64 (.f64 (.f64 U n) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 (.f64 U n) (.f64 Om Om)) (/.f64 2 Om))))) (*.f64 (sqrt.f64 2) l))
	36.0b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) 1) (.f64 (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2)) (/.f64 (cbrt.f64 l) Om))))))
	51.8b	(sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 U (.f64 2 n)) (+.f64 t (.f64 l (.f64 (+.f64 -2 (.f64 (-.f64 U* U) (/.f64 n Om))) (/.f64 l Om))))) 3)))
	41.1b	(sqrt.f64 (-.f64 (.f64 2 (.f64 t (.f64 U n))) (.f64 4 (/.f64 (.f64 U (.f64 (*.f64 l l) n)) Om))))
	47.4b	(.f64 (sqrt.f64 (.f64 U (.f64 2 n))) (sqrt.f64 (+.f64 t (.f64 l (.f64 (+.f64 -2 (.f64 (-.f64 U* U) (/.f64 n Om))) (/.f64 l Om))))))
	38.5b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (neg.f64 (.f64 n (.f64 (cbrt.f64 (/.f64 1 Om)) (.f64 U l))))))))))
	60.3b	(.f64 (sqrt.f64 (.f64 (.f64 U n) (.f64 (.f64 l l) (.f64 n (-.f64 U* U))))) (/.f64 (sqrt.f64 2) Om))
▶	35.9b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (.f64 l -2)))) (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (.f64 l -2))))) (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2))))))))
	47.5b	(.f64 (sqrt.f64 (.f64 U (.f64 2 n))) (sqrt.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (/.f64 (.f64 (-.f64 U U) (.f64 l n)) Om) (.f64 l -2))))))
	40.2b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (.f64 n (-.f64 U U)) (*.f64 (/.f64 l Om) (/.f64 l Om))))))
	57.8b	(-.f64 (.f64 (.f64 (/.f64 (.f64 t (sqrt.f64 2)) l) (sqrt.f64 (/.f64 (.f64 U n) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 (.f64 U n) (.f64 Om Om)) (/.f64 2 Om)))))) -1/2) (.f64 (sqrt.f64 (.f64 (.f64 U n) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 (.f64 U n) (.f64 Om Om)) (/.f64 2 Om))))) (.f64 (sqrt.f64 2) l)))
	57.2b	(neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 U n) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 (.f64 U n) (.f64 Om Om)) (/.f64 2 Om))))) (*.f64 (sqrt.f64 2) l)))
✓	34.4b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (.f64 (.f64 n (-.f64 U U)) (/.f64 l (cbrt.f64 Om)))))))))
	41.3b	(sqrt.f64 (.f64 n (-.f64 (.f64 2 (.f64 t U)) (.f64 4 (/.f64 (.f64 U (.f64 l l)) Om)))))
	41.2b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 U (.f64 n (-.f64 t (+.f64 (/.f64 (.f64 U (.f64 (.f64 l l) n)) (.f64 Om Om)) (.f64 2 (/.f64 (*.f64 l l) Om))))))))
	37.6b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 l (.f64 (+.f64 -2 (.f64 (-.f64 U* U) (/.f64 n Om))) (/.f64 l Om)))))))
	62.1b	(sqrt.f64 (log.f64 (pow.f64 (exp.f64 (.f64 U (.f64 2 n))) (+.f64 t (.f64 l (.f64 (+.f64 -2 (.f64 (-.f64 U U) (/.f64 n Om))) (/.f64 l Om)))))))
	60.8b	(sqrt.f64 (.f64 2 (/.f64 (.f64 (.f64 l l) (.f64 n (-.f64 U* U))) (/.f64 Om (/.f64 (*.f64 U n) Om)))))

Compiler

Compiled 4907 to 2307 computations (53% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

21.6b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (.f64 l -2)))) (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (.f64 l -2))))) (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2))))))))
31.5b	(cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (*.f64 l -2))))
31.5b	(cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (*.f64 l -2))))
31.5b	(cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (*.f64 l -2))))

rewrite201.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

18.3b

Rules

15×	`cbrt-div_binary64`
14×	`pow1_binary64`
8×	`associate-*r/_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`frac-times_binary64` `pow-prod-down_binary64`

Counts

4 → 57

Calls

4 calls:

11.0ms	(cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (*.f64 l -2))))
11.0ms	(cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (*.f64 l -2))))
11.0ms	(cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (*.f64 l -2))))
6.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (.f64 l -2)))) (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (.f64 l -2))))) (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2))))))))

Compiler

Compiled 4958 to 1783 computations (64% saved)

series1.3s (6.7%)

Error

18.3b

Counts

4 → 88

Calls

4 calls:

421.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (.f64 l -2)))) (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (.f64 l -2))))) (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2))))))))
231.0ms	(cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (*.f64 l -2))))
231.0ms	(cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (*.f64 l -2))))
227.0ms	(cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (*.f64 l -2))))

Compiler

Compiled 21074 to 12225 computations (42% saved)

simplify171.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

354×	`associate-r_binary64`
294×	`*-commutative_binary64`
282×	`associate-l_binary64`
202×	`sub-neg_binary64`
177×	`associate-/l*_binary64`

Counts

145 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	420	7213
1	1219	7054
2	3992	6603
3	5010	6603

prune280.0ms (1.5%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	1	19	20
Picked	0	1	1
Done	0	1	1
Total	129	24	153

Error

17.8b

Counts

153 → 24

Alt Table

Status	Error	Program
	42.0b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 t (*.f64 U n))))
	36.1b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 U (.f64 2 n)) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (.f64 l -2))))))) (sqrt.f64 (sqrt.f64 (.f64 (.f64 U (.f64 2 n)) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U U)) Om)) (*.f64 l -2))))))))
	61.8b	(neg.f64 (.f64 n (sqrt.f64 (.f64 -2 (.f64 U (-.f64 (/.f64 (.f64 U (.f64 l l)) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om))))))))
	56.7b	(.f64 (sqrt.f64 (.f64 (.f64 U n) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 (.f64 U n) (.f64 Om Om)) (/.f64 2 Om))))) (*.f64 (sqrt.f64 2) l))
	36.0b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) 1) (.f64 (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2)) (/.f64 (cbrt.f64 l) Om))))))
	51.8b	(sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 U (.f64 2 n)) (+.f64 t (.f64 l (.f64 (+.f64 -2 (.f64 (-.f64 U* U) (/.f64 n Om))) (/.f64 l Om))))) 3)))
	41.1b	(sqrt.f64 (-.f64 (.f64 2 (.f64 t (.f64 U n))) (.f64 4 (/.f64 (.f64 U (.f64 (*.f64 l l) n)) Om))))
	47.4b	(.f64 (sqrt.f64 (.f64 U (.f64 2 n))) (sqrt.f64 (+.f64 t (.f64 l (.f64 (+.f64 -2 (.f64 (-.f64 U* U) (/.f64 n Om))) (/.f64 l Om))))))
	38.5b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (neg.f64 (.f64 n (.f64 (cbrt.f64 (/.f64 1 Om)) (.f64 U l))))))))))
	60.3b	(.f64 (sqrt.f64 (.f64 (.f64 U n) (.f64 (.f64 l l) (.f64 n (-.f64 U* U))))) (/.f64 (sqrt.f64 2) Om))
	35.9b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (.f64 l -2)))) (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (.f64 l -2))))) (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2))))))))
	47.5b	(.f64 (sqrt.f64 (.f64 U (.f64 2 n))) (sqrt.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (/.f64 (.f64 (-.f64 U U) (.f64 l n)) Om) (.f64 l -2))))))
	40.2b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (.f64 n (-.f64 U U)) (*.f64 (/.f64 l Om) (/.f64 l Om))))))
	60.0b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (.f64 l -2)))) (cbrt.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (.f64 l -2))))) (-.f64 (cbrt.f64 (exp.f64 (+.f64 (log.f64 (/.f64 (.f64 (/.f64 l Om) (-.f64 U* U)) (/.f64 Om l))) (log.f64 n)))) (+.f64 (.f64 2/3 (/.f64 (cbrt.f64 (exp.f64 (+.f64 (log.f64 (/.f64 (.f64 (/.f64 l Om) (-.f64 U* U)) (/.f64 Om l))) (log.f64 n)))) (/.f64 (.f64 (/.f64 l Om) (-.f64 U U)) (/.f64 l n)))) (.f64 4/9 (/.f64 (cbrt.f64 (exp.f64 (+.f64 (log.f64 (/.f64 (.f64 (/.f64 l Om) (-.f64 U* U)) (/.f64 Om l))) (log.f64 n)))) (/.f64 (pow.f64 (.f64 (/.f64 l Om) (-.f64 U U)) 2) (*.f64 (/.f64 l n) (/.f64 l n)))))))))))
	57.8b	(-.f64 (.f64 (.f64 (/.f64 (.f64 t (sqrt.f64 2)) l) (sqrt.f64 (/.f64 (.f64 U n) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 (.f64 U n) (.f64 Om Om)) (/.f64 2 Om)))))) -1/2) (.f64 (sqrt.f64 (.f64 (.f64 U n) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 (.f64 U n) (.f64 Om Om)) (/.f64 2 Om))))) (.f64 (sqrt.f64 2) l)))
	57.2b	(neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 U n) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 (.f64 U n) (.f64 Om Om)) (/.f64 2 Om))))) (*.f64 (sqrt.f64 2) l)))
	34.4b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (.f64 (.f64 n (-.f64 U U)) (/.f64 l (cbrt.f64 Om)))))))))
	41.3b	(sqrt.f64 (.f64 n (-.f64 (.f64 2 (.f64 t U)) (.f64 4 (/.f64 (.f64 U (.f64 l l)) Om)))))
	41.2b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 U (.f64 n (-.f64 t (+.f64 (/.f64 (.f64 U (.f64 (.f64 l l) n)) (.f64 Om Om)) (.f64 2 (/.f64 (*.f64 l l) Om))))))))
	37.6b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 l (.f64 (+.f64 -2 (.f64 (-.f64 U* U) (/.f64 n Om))) (/.f64 l Om)))))))
	62.1b	(sqrt.f64 (log.f64 (pow.f64 (exp.f64 (.f64 U (.f64 2 n))) (+.f64 t (.f64 l (.f64 (+.f64 -2 (.f64 (-.f64 U U) (/.f64 n Om))) (/.f64 l Om)))))))
	60.8b	(sqrt.f64 (.f64 2 (/.f64 (.f64 (.f64 l l) (.f64 n (-.f64 U* U))) (/.f64 Om (/.f64 (*.f64 U n) Om)))))
	56.1b	(.f64 (sqrt.f64 (.f64 (.f64 n U) (/.f64 (-.f64 (/.f64 (.f64 n U) Om) (+.f64 2 (/.f64 (.f64 n U) Om))) Om))) (*.f64 l (sqrt.f64 2)))
	44.5b	(-.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 n U) t))) (.f64 (.f64 (/.f64 (.f64 l l) Om) (sqrt.f64 2)) (sqrt.f64 (/.f64 (*.f64 n U) t))))

Compiler

Compiled 9504 to 3630 computations (61.8% saved)

regimes4.6s (24.5%)

Accuracy

Total 13.3b remaining (47%)

Threshold costs 0b (0%)

Compiler

Compiled 85482 to 52042 computations (39.1% saved)

bsearch301.0ms (1.6%)

Steps

Iters	Range		Point
8	6.34746106634481e+227	3.5179497070801647e+230	1.5301484747848348e+229
6	1.002034541915436e+18	7.548672052554796e+18	2.686098976063843e+18
7	1.4899843962296115e-262	3.104107108338179e-260	1.5543011516572918e-260
9	-8.052190145880695e+185	-5.530498317816825e+179	-2.3741741861442317e+184

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
26×	`+-commutative_binary64`
18×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
13×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	234
1	120	234
2	148	234
3	187	234
4	212	234
5	225	234
6	229	234
7	226	234

end3.0ms (0%)

Compiler: Compiled 161 to 91 computations (43.5% saved)

sample3.7s (19.8%)

Algorithm

1×

intervals

Results

1.2s	12863×	body	128	nan
749.0ms	8000×	body	128	valid
120.0ms	1182×	body	128	invalid

Compiler

Compiled 1171 to 687 computations (41.3% saved)

Details

analyze2.3s (12.2%)

sample96.0ms (0.5%)

simplify56.0ms (0.3%)

prune6.0ms (0%)

localize17.0ms (0.1%)

rewrite410.0ms (2.2%)

series1.2s (6.2%)

simplify293.0ms (1.5%)

prune251.0ms (1.3%)

localize25.0ms (0.1%)

rewrite380.0ms (2%)

series1.2s (6.2%)

simplify213.0ms (1.1%)

prune259.0ms (1.4%)

localize22.0ms (0.1%)

rewrite235.0ms (1.2%)

series1.0s (5.3%)

simplify168.0ms (0.9%)

prune200.0ms (1.1%)

localize25.0ms (0.1%)

rewrite201.0ms (1.1%)

series1.3s (6.7%)

simplify171.0ms (0.9%)

prune280.0ms (1.5%)

regimes4.6s (24.5%)

bsearch301.0ms (1.6%)

simplify16.0ms (0.1%)

end3.0ms (0%)

sample3.7s (19.8%)

Profiling