Details

analyze3.1s (15.5%)

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)

sample118.0ms (0.6%)

Algorithm

1×

intervals

Results

49.0ms	383×	body	128	nan
31.0ms	256×	body	128	valid
5.0ms	44×	body	128	invalid

Compiler

Compiled 75 to 53 computations (29.3% saved)

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

prune4.0ms (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

30.4b

Counts

2 → 2

Alt Table

Status	Error	Program
	33.0b	(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)))))
▶	32.7b	(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))))))))

Status

Error

Program

33.0b

(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*)))))

▶

32.7b

(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 164 to 106 computations (35.4% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.1b	(.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))))
11.8b	(.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)))))))
12.4b	(.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))
17.0b	(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))))))))

rewrite275.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

23.4b

Rules

30×	`add-cbrt-cube_binary64`
30×	`add-exp-log_binary64`
30×	`pow1_binary64`
29×	`add-sqr-sqrt_binary64`
27×	`associate-l_binary64`

Counts

4 → 131

Calls

4 calls:

12.0ms	(.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))))
9.0ms	(.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))
7.0ms	(.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)))))))
5.0ms	(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)

series1.1s (5.3%)

Error

18.7b

Counts

4 → 114

Calls

4 calls:

437.0ms	(.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)))))))
323.0ms	(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))))))))
163.0ms	(.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))))
63.0ms	(.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))

Compiler

Compiled 11111 to 7857 computations (29.3% saved)

simplify253.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

566×	`*-commutative_binary64`
266×	`distribute-rgt-in_binary64`
246×	`associate-*l/_binary64`
246×	`distribute-lft-in_binary64`
234×	`associate-/l*_binary64`

Counts

245 → 221

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	525	8681
1	1605	8287
2	4523	8275
3	4933	8275
4	5074	8275

prune184.0ms (0.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	201	20	221
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	202	21	223

Error

15.2b

Counts

223 → 21

Alt Table

Status	Error	Program
	60.6b	(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))))))))
	44.4b	(sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 n (.f64 t U)) (/.f64 (.f64 (.f64 n n) (.f64 U (.f64 (.f64 l l) U))) (.f64 Om Om)))) (+.f64 (.f64 4 (/.f64 (.f64 n (.f64 U (.f64 l l))) Om)) (.f64 2 (/.f64 (.f64 (.f64 n n) (.f64 (.f64 l l) (.f64 U U))) (*.f64 Om Om))))))
	62.2b	(+.f64 (.f64 (.f64 n (sqrt.f64 2)) (sqrt.f64 (.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 U (.f64 l l)) (.f64 Om Om)))))) (.f64 (sqrt.f64 (/.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 U (.f64 l l)) (.f64 Om Om))))) (-.f64 (.f64 1/2 (.f64 t (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) (.f64 l l)) Om))))
▶	30.7b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))))
	40.5b	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 n U)) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (*.f64 l -2)))))) 3))
	38.5b	(sqrt.f64 (.f64 n (-.f64 (.f64 2 (.f64 t U)) (.f64 4 (.f64 (/.f64 (.f64 l l) Om) U)))))
	33.0b	(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)))))
	57.2b	(neg.f64 (.f64 (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om))))))) (*.f64 (sqrt.f64 2) l)))
	55.2b	(sqrt.f64 (.f64 2 (.f64 n (.f64 (.f64 l l) (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om)))))))))
	55.8b	(.f64 (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om))))))) (*.f64 (sqrt.f64 2) l))
	59.9b	(sqrt.f64 (.f64 2 (/.f64 (.f64 (.f64 n n) (.f64 U (.f64 (.f64 l l) U))) (.f64 Om Om))))
	41.2b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 n (*.f64 t U))))
	61.8b	(sqrt.f64 (log.f64 (pow.f64 (exp.f64 (.f64 2 (.f64 n U))) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U U)) (/.f64 l Om)) (*.f64 l -2)))))))
	32.2b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (*.f64 l -2)))))))
	46.3b	(sqrt.f64 (/.f64 (.f64 (.f64 2 (.f64 n U)) (-.f64 (.f64 t t) (.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (.f64 l -2))) (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (.f64 l -2)))))) (-.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U U))))))))
	44.3b	(-.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 n (.f64 t U)))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 l l)) Om) (sqrt.f64 (/.f64 (*.f64 n U) t))))
	58.6b	(.f64 (sqrt.f64 (.f64 n (.f64 U (.f64 n (.f64 (.f64 l l) (-.f64 U* U)))))) (/.f64 (sqrt.f64 2) Om))
	57.5b	(-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 n U) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om)))))) (/.f64 (.f64 t (sqrt.f64 2)) l)) -1/2) (.f64 (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om))))))) (.f64 (sqrt.f64 2) l)))
	56.4b	(+.f64 (.f64 (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om))))))) (.f64 (sqrt.f64 2) l)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (.f64 n U) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om)))))) (/.f64 (.f64 t (sqrt.f64 2)) l))))
	41.8b	(sqrt.f64 (.f64 U (-.f64 (.f64 2 (+.f64 (.f64 n t) (/.f64 (.f64 U* (.f64 (.f64 l l) (.f64 n n))) (.f64 Om Om)))) (.f64 4 (/.f64 (.f64 n (*.f64 l l)) Om)))))
	47.2b	(.f64 (sqrt.f64 (.f64 2 (.f64 n U))) (sqrt.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (*.f64 l -2))))))

Compiler

Compiled 6154 to 2635 computations (57.2% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.6b	(*.f64 n (/.f64 l Om))
7.2b	(.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))
11.8b	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U))))))
17.0b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))))

rewrite154.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

14.7b

Rules

30×	`pow1_binary64`
27×	`add-cbrt-cube_binary64`
27×	`add-exp-log_binary64`
23×	`add-sqr-sqrt_binary64`
21×	`associate-r_binary64`

Counts

4 → 107

Calls

4 calls:

9.0ms	(.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))
7.0ms	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U))))))
5.0ms	(*.f64 n (/.f64 l Om))
5.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))))

Compiler

Compiled 3765 to 1527 computations (59.4% saved)

series898.0ms (4.5%)

Error

15.2b

Counts

4 → 96

Calls

4 calls:

442.0ms	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U))))))
335.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))))
62.0ms	(.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))
23.0ms	(*.f64 n (/.f64 l Om))

Compiler

Compiled 9781 to 6925 computations (29.2% saved)

simplify131.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

728×	`associate-l_binary64`
666×	`associate-r_binary64`
209×	`associate-/l*_binary64`
189×	`*-commutative_binary64`
149×	`distribute-rgt-in_binary64`

Counts

203 → 167

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	445	6832
1	1273	6306
2	5029	6306

prune127.0ms (0.6%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	162	5	167
Fresh	4	16	20
Picked	0	1	1
Done	0	0	0
Total	166	22	188

Error

14.0b

Counts

188 → 22

Alt Table

Status	Error	Program
	62.2b	(+.f64 (.f64 (.f64 n (sqrt.f64 2)) (sqrt.f64 (.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 U (.f64 l l)) (.f64 Om Om)))))) (.f64 (sqrt.f64 (/.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 U (.f64 l l)) (.f64 Om Om))))) (-.f64 (.f64 1/2 (.f64 t (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) (.f64 l l)) Om))))
✓	30.7b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))))
	40.5b	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 n U)) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (*.f64 l -2)))))) 3))
▶	32.2b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (*.f64 l -2)))))))
	46.0b	(.f64 (sqrt.f64 (.f64 2 (.f64 n U))) (sqrt.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2))))))
	38.5b	(sqrt.f64 (-.f64 (.f64 n (.f64 2 (.f64 t U))) (.f64 4 (/.f64 (.f64 n (.f64 U (*.f64 l l))) Om))))
	44.3b	(-.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 n (.f64 t U)))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 l l)) Om) (sqrt.f64 (/.f64 (*.f64 n U) t))))
	33.0b	(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)))))
	39.4b	(sqrt.f64 (.f64 U (-.f64 (.f64 2 (+.f64 (.f64 n t) (/.f64 (.f64 n (.f64 n (.f64 (.f64 l l) U))) (.f64 Om Om)))) (.f64 4 (/.f64 (.f64 n (.f64 l l)) Om)))))
	57.2b	(neg.f64 (.f64 (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om))))))) (*.f64 (sqrt.f64 2) l)))
	58.9b	(.f64 (sqrt.f64 (.f64 n (.f64 n (.f64 (.f64 (.f64 l l) (-.f64 U* U)) U)))) (/.f64 (sqrt.f64 2) Om))
	56.4b	(+.f64 (.f64 (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om))))))) (.f64 (sqrt.f64 2) l)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (.f64 n U) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om)))))) (/.f64 (.f64 t (sqrt.f64 2)) l))))
	55.2b	(sqrt.f64 (.f64 2 (.f64 n (.f64 (.f64 l l) (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om)))))))))
	55.8b	(.f64 (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om))))))) (*.f64 (sqrt.f64 2) l))
	59.9b	(sqrt.f64 (.f64 2 (/.f64 (.f64 (.f64 n n) (.f64 U (.f64 (.f64 l l) U))) (.f64 Om Om))))
	41.2b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 n (*.f64 t U))))
	60.6b	(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))))))))
	61.8b	(sqrt.f64 (log.f64 (pow.f64 (exp.f64 (.f64 2 (.f64 n U))) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U U)) (/.f64 l Om)) (*.f64 l -2)))))))
	46.3b	(sqrt.f64 (/.f64 (.f64 (.f64 2 (.f64 n U)) (-.f64 (.f64 t t) (.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (.f64 l -2))) (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (.f64 l -2)))))) (-.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U U))))))))
	59.2b	(sqrt.f64 (.f64 2 (.f64 (/.f64 (.f64 (.f64 n n) (.f64 (.f64 l l) (-.f64 U* U))) Om) (/.f64 U Om))))
	57.5b	(-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 n U) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om)))))) (/.f64 (.f64 t (sqrt.f64 2)) l)) -1/2) (.f64 (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om))))))) (.f64 (sqrt.f64 2) l)))
	41.8b	(sqrt.f64 (.f64 U (-.f64 (.f64 2 (+.f64 (.f64 n t) (/.f64 (.f64 U* (.f64 (.f64 l l) (.f64 n n))) (.f64 Om Om)))) (.f64 4 (/.f64 (.f64 n (*.f64 l l)) Om)))))

Compiler

Compiled 4902 to 2210 computations (54.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.0b	(.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (*.f64 l -2)))))
7.0b	(.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (*.f64 l -2))))))
12.4b	(.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om))
17.0b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (*.f64 l -2)))))))

rewrite141.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

12.2b

Rules

36×	`pow1_binary64`
30×	`add-cbrt-cube_binary64`
30×	`add-exp-log_binary64`
20×	`pow-prod-down_binary64`
17×	`associate-r_binary64`

Counts

4 → 103

Calls

4 calls:

11.0ms	(.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om))
6.0ms	(.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (*.f64 l -2))))))
5.0ms	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (*.f64 l -2)))))))
4.0ms	(.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (*.f64 l -2)))))

Compiler

Compiled 3827 to 1512 computations (60.5% saved)

series1.2s (6%)

Error

14.0b

Counts

4 → 126

Calls

4 calls:

433.0ms	(.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (*.f64 l -2))))))
338.0ms	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (*.f64 l -2)))))))
308.0ms	(.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (*.f64 l -2)))))
67.0ms	(.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om))

Compiler

Compiled 12053 to 8579 computations (28.8% saved)

simplify149.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

700×	`associate-r_binary64`
646×	`associate-l_binary64`
207×	`associate-/l*_binary64`
194×	`*-commutative_binary64`
167×	`distribute-rgt-in_binary64`

Counts

229 → 200

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	449	9100
1	1275	8391
2	5068	8391

prune133.0ms (0.7%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	194	6	200
Fresh	3	17	20
Picked	0	1	1
Done	0	1	1
Total	197	25	222

Error

11.7b

Counts

222 → 25

Alt Table

Status	Error	Program
	62.2b	(+.f64 (.f64 (.f64 n (sqrt.f64 2)) (sqrt.f64 (.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 U (.f64 l l)) (.f64 Om Om)))))) (.f64 (sqrt.f64 (/.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 U (.f64 l l)) (.f64 Om Om))))) (-.f64 (.f64 1/2 (.f64 t (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) (.f64 l l)) Om))))
✓	30.7b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))))
	61.8b	(sqrt.f64 (log.f64 (pow.f64 (exp.f64 (.f64 2 (.f64 n U))) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U U)) (/.f64 l Om)) (*.f64 l -2)))))))
	61.8b	(sqrt.f64 (.f64 (.f64 2 n) (log.f64 (pow.f64 (exp.f64 U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U U) (/.f64 l Om))) (*.f64 l -2))))))))
✓	32.2b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (*.f64 l -2)))))))
	46.0b	(.f64 (sqrt.f64 (.f64 2 (.f64 n U))) (sqrt.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2))))))
	38.5b	(sqrt.f64 (-.f64 (.f64 n (.f64 2 (.f64 t U))) (.f64 4 (/.f64 (.f64 n (.f64 U (*.f64 l l))) Om))))
	45.5b	(.f64 (sqrt.f64 (.f64 n 2)) (sqrt.f64 (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2)))))))
	44.3b	(-.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 n (.f64 t U)))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 l l)) Om) (sqrt.f64 (/.f64 (*.f64 n U) t))))
	59.2b	(sqrt.f64 (.f64 2 (.f64 (/.f64 (.f64 (.f64 n n) (.f64 (.f64 l l) (-.f64 U* U))) Om) (/.f64 U Om))))
	52.2b	(/.f64 (sqrt.f64 (.f64 (.f64 n 2) (.f64 U (+.f64 (pow.f64 t 3) (pow.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (.f64 l -2))) 3))))) (sqrt.f64 (+.f64 (.f64 t t) (.f64 (/.f64 l Om) (.f64 (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (.f64 l -2)) (-.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2))) t))))))
	58.9b	(sqrt.f64 (.f64 (.f64 2 n) (/.f64 (.f64 n (.f64 U (.f64 (.f64 l l) U))) (.f64 Om Om))))
	57.5b	(-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 n U) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om)))))) (/.f64 (.f64 t (sqrt.f64 2)) l)) -1/2) (.f64 (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om))))))) (.f64 (sqrt.f64 2) l)))
	33.0b	(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)))))
	39.4b	(sqrt.f64 (.f64 U (-.f64 (.f64 2 (+.f64 (.f64 n t) (/.f64 (.f64 n (.f64 n (.f64 (.f64 l l) U))) (.f64 Om Om)))) (.f64 4 (/.f64 (.f64 n (.f64 l l)) Om)))))
	57.2b	(neg.f64 (.f64 (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om))))))) (*.f64 (sqrt.f64 2) l)))
	58.9b	(.f64 (sqrt.f64 (.f64 n (.f64 n (.f64 (.f64 (.f64 l l) (-.f64 U* U)) U)))) (/.f64 (sqrt.f64 2) Om))
	56.4b	(+.f64 (.f64 (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om))))))) (.f64 (sqrt.f64 2) l)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (.f64 n U) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om)))))) (/.f64 (.f64 t (sqrt.f64 2)) l))))
	55.2b	(sqrt.f64 (.f64 2 (.f64 n (.f64 (.f64 l l) (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om)))))))))
	55.8b	(.f64 (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om))))))) (*.f64 (sqrt.f64 2) l))
▶	30.3b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2)))) (cbrt.f64 U)))))
	60.6b	(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))))))))
	55.0b	(/.f64 (sqrt.f64 (.f64 (.f64 n 2) (.f64 U (-.f64 (.f64 t t) (.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (.f64 l -2))) (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (.f64 l -2)))))))) (sqrt.f64 (-.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2))))))
	41.2b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 n (*.f64 t U))))
	41.8b	(sqrt.f64 (.f64 U (-.f64 (.f64 2 (+.f64 (.f64 n t) (/.f64 (.f64 U* (.f64 (.f64 l l) (.f64 n n))) (.f64 Om Om)))) (.f64 4 (/.f64 (.f64 n (*.f64 l l)) Om)))))

Compiler

Compiled 5680 to 2510 computations (55.8% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.5b	(.f64 (-.f64 U U) (/.f64 l Om))
7.0b	(.f64 (.f64 2 n) (.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2)))) (cbrt.f64 U))))
9.1b	(.f64 n (.f64 (-.f64 U* U) (/.f64 l Om)))
17.0b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2)))) (cbrt.f64 U)))))

rewrite156.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

11.7b

Rules

94×	`pow1_binary64`
66×	`pow-prod-down_binary64`
59×	`add-exp-log_binary64`
47×	`add-cbrt-cube_binary64`
38×	`cbrt-unprod_binary64`

Counts

4 → 127

Calls

4 calls:

15.0ms	(.f64 (.f64 2 n) (.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2)))) (cbrt.f64 U))))
14.0ms	(sqrt.f64 (.f64 (.f64 2 n) (.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2)))) (cbrt.f64 U)))))
8.0ms	(.f64 (-.f64 U U) (/.f64 l Om))
8.0ms	(.f64 n (.f64 (-.f64 U* U) (/.f64 l Om)))

Compiler

Compiled 5045 to 1811 computations (64.1% saved)

series1.0s (5%)

Error

11.7b

Counts

4 → 105

Calls

4 calls:

493.0ms	(.f64 (.f64 2 n) (.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2)))) (cbrt.f64 U))))
352.0ms	(sqrt.f64 (.f64 (.f64 2 n) (.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2)))) (cbrt.f64 U)))))
66.0ms	(.f64 n (.f64 (-.f64 U* U) (/.f64 l Om)))
46.0ms	(.f64 (-.f64 U U) (/.f64 l Om))

Compiler

Compiled 11042 to 7594 computations (31.2% saved)

simplify197.0ms (1%)

Algorithm

1×	egg-herbie

Rules

727×	`associate-r_binary64`
651×	`associate-l_binary64`
206×	`associate-/l*_binary64`
205×	`*-commutative_binary64`
146×	`associate-*r/_binary64`

Counts

232 → 197

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	482	8958
1	1378	7038
2	4981	7038
3	4984	7038

prune105.0ms (0.5%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	0	22	22
Picked	0	1	1
Done	0	2	2
Total	196	26	222

Error

11.7b

Counts

222 → 26

Alt Table

Status	Error	Program
	62.2b	(+.f64 (.f64 (.f64 n (sqrt.f64 2)) (sqrt.f64 (.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 U (.f64 l l)) (.f64 Om Om)))))) (.f64 (sqrt.f64 (/.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 U (.f64 l l)) (.f64 Om Om))))) (-.f64 (.f64 1/2 (.f64 t (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) (.f64 l l)) Om))))
	30.7b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))))
	61.8b	(sqrt.f64 (log.f64 (pow.f64 (exp.f64 (.f64 2 (.f64 n U))) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U U)) (/.f64 l Om)) (*.f64 l -2)))))))
	61.8b	(sqrt.f64 (.f64 (.f64 2 n) (log.f64 (pow.f64 (exp.f64 U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U U) (/.f64 l Om))) (*.f64 l -2))))))))
	32.2b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om)) (*.f64 l -2)))))))
	46.0b	(.f64 (sqrt.f64 (.f64 2 (.f64 n U))) (sqrt.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2))))))
	38.5b	(sqrt.f64 (-.f64 (.f64 n (.f64 2 (.f64 t U))) (.f64 4 (/.f64 (.f64 n (.f64 U (*.f64 l l))) Om))))
	36.3b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (neg.f64 (/.f64 (.f64 n (.f64 U l)) Om)) (*.f64 l -2)))) (cbrt.f64 U)))))
	45.5b	(.f64 (sqrt.f64 (.f64 n 2)) (sqrt.f64 (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2)))))))
	44.3b	(-.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 n (.f64 t U)))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 l l)) Om) (sqrt.f64 (/.f64 (*.f64 n U) t))))
	59.2b	(sqrt.f64 (.f64 2 (.f64 (/.f64 (.f64 (.f64 n n) (.f64 (.f64 l l) (-.f64 U* U))) Om) (/.f64 U Om))))
	52.2b	(/.f64 (sqrt.f64 (.f64 (.f64 n 2) (.f64 U (+.f64 (pow.f64 t 3) (pow.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (.f64 l -2))) 3))))) (sqrt.f64 (+.f64 (.f64 t t) (.f64 (/.f64 l Om) (.f64 (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (.f64 l -2)) (-.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2))) t))))))
	58.9b	(sqrt.f64 (.f64 (.f64 2 n) (/.f64 (.f64 n (.f64 U (.f64 (.f64 l l) U))) (.f64 Om Om))))
	57.5b	(-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 n U) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om)))))) (/.f64 (.f64 t (sqrt.f64 2)) l)) -1/2) (.f64 (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om))))))) (.f64 (sqrt.f64 2) l)))
	33.0b	(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)))))
	39.4b	(sqrt.f64 (.f64 U (-.f64 (.f64 2 (+.f64 (.f64 n t) (/.f64 (.f64 n (.f64 n (.f64 (.f64 l l) U))) (.f64 Om Om)))) (.f64 4 (/.f64 (.f64 n (.f64 l l)) Om)))))
	57.2b	(neg.f64 (.f64 (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om))))))) (*.f64 (sqrt.f64 2) l)))
	58.9b	(.f64 (sqrt.f64 (.f64 n (.f64 n (.f64 (.f64 (.f64 l l) (-.f64 U* U)) U)))) (/.f64 (sqrt.f64 2) Om))
	56.4b	(+.f64 (.f64 (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om))))))) (.f64 (sqrt.f64 2) l)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (.f64 n U) (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om)))))) (/.f64 (.f64 t (sqrt.f64 2)) l))))
	55.2b	(sqrt.f64 (.f64 2 (.f64 n (.f64 (.f64 l l) (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om)))))))))
	55.8b	(.f64 (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n U) (.f64 Om Om)) (+.f64 (/.f64 2 Om) (/.f64 (.f64 n U) (.f64 Om Om))))))) (*.f64 (sqrt.f64 2) l))
	30.3b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (.f64 (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2)))) (cbrt.f64 U)))))
	60.6b	(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))))))))
	55.0b	(/.f64 (sqrt.f64 (.f64 (.f64 n 2) (.f64 U (-.f64 (.f64 t t) (.f64 (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (.f64 l -2))) (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (.f64 l -2)))))))) (sqrt.f64 (-.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (.f64 (-.f64 U* U) (/.f64 l Om))) (*.f64 l -2))))))
	41.2b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 n (*.f64 t U))))
	41.8b	(sqrt.f64 (.f64 U (-.f64 (.f64 2 (+.f64 (.f64 n t) (/.f64 (.f64 U* (.f64 (.f64 l l) (.f64 n n))) (.f64 Om Om)))) (.f64 4 (/.f64 (.f64 n (*.f64 l l)) Om)))))

Compiler

Compiled 4563 to 1928 computations (57.7% saved)

regimes5.9s (29.3%)

Accuracy

Total 16.5b remaining (59.4%)

Threshold costs 0b (0%)

Compiler

Compiled 83906 to 50458 computations (39.9% saved)

bsearch20.0ms (0.1%)

Compiler: Compiled 34 to 23 computations (32.4% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
24×	`+-commutative_binary64`
21×	`neg-sub0_binary64`
21×	`neg-mul-1_binary64`
20×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	228
1	88	228
2	116	228
3	139	228
4	165	228
5	186	228
6	204	228
7	220	228
8	228	228
9	231	228
10	226	228

end2.0ms (0%)

Compiler: Compiled 156 to 84 computations (46.2% saved)

sample4.6s (22.9%)

Algorithm

1×

intervals

Results

1.7s	13011×	body	128	nan
1.1s	8000×	body	128	valid
159.0ms	1201×	body	128	invalid

Compiler

Compiled 1231 to 720 computations (41.5% saved)

Iter	Nodes	Cost
0	52	228
1	88	228
2	116	228
3	139	228
4	165	228
5	186	228
6	204	228
7	220	228
8	228	228
9	231	228
10	226	228

Iter	Nodes	Cost
0	52	228
1	88	228
2	116	228
3	139	228
4	165	228
5	186	228
6	204	228
7	220	228
8	228	228
9	231	228
10	226	228

Details

analyze3.1s (15.5%)

sample118.0ms (0.6%)

simplify59.0ms (0.3%)

prune4.0ms (0%)

localize20.0ms (0.1%)

rewrite275.0ms (1.4%)

series1.1s (5.3%)

simplify253.0ms (1.3%)

prune184.0ms (0.9%)

localize18.0ms (0.1%)

rewrite154.0ms (0.8%)

series898.0ms (4.5%)

simplify131.0ms (0.7%)

prune127.0ms (0.6%)

localize18.0ms (0.1%)

rewrite141.0ms (0.7%)

series1.2s (6%)

simplify149.0ms (0.7%)

prune133.0ms (0.7%)

localize24.0ms (0.1%)

rewrite156.0ms (0.8%)

series1.0s (5%)

simplify197.0ms (1%)

prune105.0ms (0.5%)

regimes5.9s (29.3%)

bsearch20.0ms (0.1%)

simplify15.0ms (0.1%)

end2.0ms (0%)

sample4.6s (22.9%)

Profiling

Iter	Nodes	Cost
0	52	228
1	88	228
2	116	228
3	139	228
4	165	228
5	186	228
6	204	228
7	220	228
8	228	228
9	231	228
10	226	228