Details

analyze3.7s (19%)

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)

sample4.5s (23%)

Results

2.8s	14506×	body	128	invalid
1.7s	8256×	body	128	valid

Compiler

Compiled 104 to 71 computations (31.7% saved)

simplify47.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

515×	`fma-neg_binary64`
481×	`neg-mul-1_binary64`
395×	`fma-def_binary64`
358×	`cancel-sign-sub-inv_binary64`
348×	`unsub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	42
1	58	40
2	182	40
3	757	38
4	2815	37
5	4555	37
6	4944	37

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

29.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	29.3b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (*.f64 n (/.f64 l Om))))))))
	32.9b	(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

▶

29.3b

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

32.9b

(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 189 to 119 computations (37% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.9b	(*.f64 n (/.f64 l Om))
✓	7.0b	(.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))
✓	9.4b	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))))))
✓	18.5b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (*.f64 n (/.f64 l Om))))))))

series1.2s (5.9%)

Counts

4 → 216

Calls

4 calls:

796.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (*.f64 n (/.f64 l Om))))))))
306.0ms	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))))))
33.0ms	(.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))
13.0ms	(*.f64 n (/.f64 l Om))

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

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

simplify266.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

787×	`fma-def_binary64`
459×	`*-commutative_binary64`
231×	`associate-r_binary64`
165×	`+-commutative_binary64`
153×	`cancel-sign-sub-inv_binary64`

Counts

323 → 286

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1061	19930
1	3567	19396
2	5115	19396

prune517.0ms (2.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	268	18	286
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	269	19	288

Error

14.4b

Counts

288 → 19

Alt Table

Status	Error	Program
	35.6b	(sqrt.f64 (.f64 n (fma.f64 2 (.f64 U t) (.f64 -4 (/.f64 (.f64 (*.f64 l l) U) Om)))))
	57.9b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n (.f64 (.f64 l l) U)) (.f64 Om Om)) (fma.f64 2 (/.f64 (.f64 l l) Om) (/.f64 (.f64 n (.f64 (.f64 l l) U)) (*.f64 Om Om))))))))
	40.6b	(.f64 (sqrt.f64 (.f64 (.f64 2 n) U)) (sqrt.f64 (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (*.f64 n (/.f64 l Om))))))))
	61.9b	(sqrt.f64 (.f64 2 (/.f64 (.f64 (pow.f64 n 2) (.f64 (pow.f64 l 2) (.f64 U U*))) (pow.f64 Om 2))))
	35.6b	(sqrt.f64 (fma.f64 2 (.f64 n (.f64 U t)) (.f64 -4 (/.f64 (.f64 n (.f64 (.f64 l l) U)) Om))))
	43.5b	(-.f64 (.f64 (sqrt.f64 (.f64 n (.f64 t U))) (sqrt.f64 2)) (.f64 (sqrt.f64 (/.f64 (.f64 n U) t)) (/.f64 (.f64 (pow.f64 l 2) (sqrt.f64 2)) Om)))
	30.3b	(sqrt.f64 (.f64 (.f64 (.f64 2 (.f64 n U)) (.f64 (cbrt.f64 (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (/.f64 (.f64 n l) Om))) t)) (cbrt.f64 (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (/.f64 (.f64 n l) Om))) t)))) (cbrt.f64 (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))))))))
	60.3b	(.f64 (sqrt.f64 (.f64 n (.f64 U (.f64 n (-.f64 (.f64 (.f64 l l) U) (.f64 (*.f64 l l) U)))))) (/.f64 (sqrt.f64 2) Om))
	62.7b	(-.f64 (fma.f64 (.f64 n (sqrt.f64 2)) (sqrt.f64 (.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (/.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)))))))) (.f64 (sqrt.f64 (/.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om))))) (/.f64 (.f64 (sqrt.f64 2) (*.f64 l l)) Om)))
	30.7b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (/.f64 (*.f64 n l) Om))) t))))
	29.5b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (.f64 n (/.f64 l Om))))))))) (sqrt.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om))))))))))
	57.4b	(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)))
▶	29.2b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (.f64 n (/.f64 l Om))))) (.f64 (*.f64 2 n) U))))
	59.0b	(.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))
	39.0b	(.f64 (sqrt.f64 (.f64 n (*.f64 t U))) (sqrt.f64 2))
	29.6b	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (.f64 n (/.f64 l Om)))))))) (cbrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (.f64 n (/.f64 l Om))))))))) (cbrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om))))))))))
	32.8b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (neg.f64 (/.f64 (.f64 n (.f64 l U)) Om)))))))
	32.9b	(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)))))
	61.6b	(neg.f64 (.f64 n (sqrt.f64 (.f64 -2 (.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om))))))))

Compiler

Compiled 23205 to 11946 computations (48.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.9b	(*.f64 n (/.f64 l Om))
	7.0b	(.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))
✓	12.1b	(.f64 (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (.f64 n (/.f64 l Om))))) (.f64 (*.f64 2 n) U))
✓	18.5b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (.f64 n (/.f64 l Om))))) (.f64 (*.f64 2 n) U))))

series900.0ms (4.6%)

Counts

2 → 108

Calls

2 calls:

683.0ms

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

216.0ms

(*.f64 (*.f64 (/.f64 l Om) (fma.f64 l -2 (*.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om))))) (*.f64 (*.f64 2 n) U))

rewrite24.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-cbrt-cube_binary64`
38×	`add-exp-log_binary64`
24×	`cbrt-unprod_binary64`
24×	`prod-exp_binary64`
24×	`pow1_binary64`

Counts

2 → 55

Calls

2 calls:

10.0ms

(*.f64 (*.f64 (/.f64 l Om) (fma.f64 l -2 (*.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om))))) (*.f64 (*.f64 2 n) U))

6.0ms

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

simplify224.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

721×	`associate-/l*_binary64`
583×	`fma-def_binary64`
302×	`*-commutative_binary64`
160×	`cancel-sign-sub-inv_binary64`
145×	`associate-r_binary64`

Counts

163 → 185

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	780	17956
1	2597	16591
2	5408	16591

prune617.0ms (3.1%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	277	13	290
Fresh	6	12	18
Picked	1	0	1
Done	0	0	0
Total	284	25	309

Error

11.7b

Counts

309 → 25

Alt Table

Status	Error	Program
	29.6b	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (.f64 n (/.f64 l Om)))))))) (cbrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (.f64 n (/.f64 l Om))))))))) (cbrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om))))))))))
	38.5b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 2 (/.f64 (.f64 (-.f64 (/.f64 (.f64 (pow.f64 n 2) (.f64 (pow.f64 l 2) U)) Om) (.f64 2 (.f64 n (pow.f64 l 2)))) U) Om))))
	35.6b	(sqrt.f64 (.f64 n (fma.f64 2 (.f64 U t) (.f64 -4 (/.f64 (.f64 (*.f64 l l) U) Om)))))
	57.9b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n (.f64 (.f64 l l) U)) (.f64 Om Om)) (fma.f64 2 (/.f64 (.f64 l l) Om) (/.f64 (.f64 n (.f64 (.f64 l l) U)) (*.f64 Om Om))))))))
	34.6b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 -4 (/.f64 (.f64 n (.f64 (pow.f64 l 2) U)) Om))))
	61.5b	(.f64 n (sqrt.f64 (.f64 2 (-.f64 (/.f64 (.f64 (.f64 l l) (.f64 U U)) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) (.f64 U U)) (*.f64 Om Om))))))
	61.9b	(sqrt.f64 (.f64 2 (/.f64 (.f64 (pow.f64 n 2) (.f64 (pow.f64 l 2) (.f64 U U*))) (pow.f64 Om 2))))
	40.6b	(.f64 (sqrt.f64 (.f64 2 (.f64 n U))) (sqrt.f64 (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om)))) t)))
	36.0b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 2 (/.f64 (.f64 n (.f64 (pow.f64 l 2) (.f64 (-.f64 (/.f64 (.f64 n U) Om) (+.f64 2 (/.f64 (.f64 n U) Om))) U))) Om))))
	30.3b	(sqrt.f64 (.f64 (.f64 (.f64 2 (.f64 n U)) (.f64 (cbrt.f64 (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (/.f64 (.f64 n l) Om))) t)) (cbrt.f64 (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (/.f64 (.f64 n l) Om))) t)))) (cbrt.f64 (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))))))))
	28.8b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (.f64 (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (.f64 n (/.f64 l Om))))) (.f64 2 n)) U)))
	60.3b	(.f64 (sqrt.f64 (.f64 n (.f64 U (.f64 n (-.f64 (.f64 (.f64 l l) U) (.f64 (*.f64 l l) U)))))) (/.f64 (sqrt.f64 2) Om))
	62.7b	(-.f64 (fma.f64 (.f64 n (sqrt.f64 2)) (sqrt.f64 (.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (/.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)))))))) (.f64 (sqrt.f64 (/.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om))))) (/.f64 (.f64 (sqrt.f64 2) (*.f64 l l)) Om)))
▶	27.2b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (/.f64 l Om) (.f64 (fma.f64 l -2 (.f64 (-.f64 U* U) (.f64 n (/.f64 l Om)))) (.f64 (*.f64 2 n) U)))))
	61.5b	(.f64 (/.f64 1 Om) (sqrt.f64 (-.f64 (.f64 2 (.f64 (pow.f64 n 2) (.f64 (pow.f64 l 2) (.f64 U U)))) (.f64 2 (.f64 (pow.f64 n 2) (*.f64 (pow.f64 l 2) (pow.f64 U 2)))))))
	30.7b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (/.f64 (*.f64 n l) Om))) t))))
	57.4b	(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)))
	29.5b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 n U)) (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (.f64 n (/.f64 l Om)))) t)))) (sqrt.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 n U)) (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))) t)))))
	58.9b	(.f64 (sqrt.f64 (+.f64 (.f64 2 (-.f64 (/.f64 (.f64 (.f64 n n) (.f64 U U)) (.f64 Om Om)) (/.f64 (.f64 (.f64 n n) (.f64 U U)) (.f64 Om Om)))) (.f64 -4 (/.f64 (*.f64 n U) Om)))) (neg.f64 l))
	59.0b	(.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 l (sqrt.f64 (+.f64 (.f64 2 (-.f64 (/.f64 (.f64 (.f64 n n) (.f64 U U)) (.f64 Om Om)) (/.f64 (.f64 (.f64 n n) (.f64 U U)) (.f64 Om Om)))) (.f64 -4 (/.f64 (*.f64 n U) Om)))))
	39.0b	(.f64 (sqrt.f64 (.f64 n (*.f64 t U))) (sqrt.f64 2))
	30.9b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 -2 (/.f64 (.f64 (.f64 n (.f64 l U)) (fma.f64 2 l (/.f64 (.f64 n (*.f64 l U)) Om))) Om))))
	40.2b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 2 (.f64 (/.f64 n (.f64 Om Om)) (.f64 l (.f64 U (.f64 n (.f64 l (-.f64 U* U)))))))))
	61.6b	(neg.f64 (.f64 n (sqrt.f64 (.f64 -2 (.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om))))))))

Compiler

Compiled 25744 to 13410 computations (47.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.9b	(*.f64 n (/.f64 l Om))
	7.0b	(.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))
✓	7.0b	(.f64 (/.f64 l Om) (.f64 (fma.f64 l -2 (.f64 (-.f64 U U) (.f64 n (/.f64 l Om)))) (.f64 (*.f64 2 n) U)))
✓	18.5b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (/.f64 l Om) (.f64 (fma.f64 l -2 (.f64 (-.f64 U* U) (.f64 n (/.f64 l Om)))) (.f64 (*.f64 2 n) U)))))

series838.0ms (4.3%)

Counts

2 → 108

Calls

2 calls:

634.0ms

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

204.0ms

(*.f64 (/.f64 l Om) (*.f64 (fma.f64 l -2 (*.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om)))) (*.f64 (*.f64 2 n) U)))

rewrite24.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-cbrt-cube_binary64`
34×	`add-exp-log_binary64`
20×	`cbrt-unprod_binary64`
20×	`prod-exp_binary64`
17×	`pow1_binary64`

Counts

2 → 62

Calls

2 calls:

10.0ms

(*.f64 (/.f64 l Om) (*.f64 (fma.f64 l -2 (*.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om)))) (*.f64 (*.f64 2 n) U)))

6.0ms

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

simplify229.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

739×	`associate-/l*_binary64`
580×	`fma-def_binary64`
311×	`*-commutative_binary64`
157×	`cancel-sign-sub-inv_binary64`
155×	`associate-r_binary64`

Counts

170 → 201

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	800	18172
1	2653	16845
2	5503	16845

prune642.0ms (3.3%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	302	4	306
Fresh	2	22	24
Picked	1	0	1
Done	0	0	0
Total	305	26	331

Error

11.5b

Counts

331 → 26

Alt Table

Status	Error	Program
	29.6b	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (.f64 n (/.f64 l Om)))))))) (cbrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (.f64 n (/.f64 l Om))))))))) (cbrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om))))))))))
	38.5b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 2 (/.f64 (.f64 (-.f64 (/.f64 (.f64 (pow.f64 n 2) (.f64 (pow.f64 l 2) U)) Om) (.f64 2 (.f64 n (pow.f64 l 2)))) U) Om))))
	35.6b	(sqrt.f64 (.f64 n (fma.f64 2 (.f64 U t) (.f64 -4 (/.f64 (.f64 (*.f64 l l) U) Om)))))
	57.9b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n (.f64 (.f64 l l) U)) (.f64 Om Om)) (fma.f64 2 (/.f64 (.f64 l l) Om) (/.f64 (.f64 n (.f64 (.f64 l l) U)) (*.f64 Om Om))))))))
▶	28.2b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (/.f64 l Om) (.f64 (fma.f64 l -2 (.f64 (.f64 n (-.f64 U U)) (/.f64 l Om))) (.f64 (.f64 2 n) U)))))
	34.6b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 -4 (/.f64 (.f64 n (.f64 (pow.f64 l 2) U)) Om))))
	61.5b	(.f64 n (sqrt.f64 (.f64 2 (-.f64 (/.f64 (.f64 (.f64 l l) (.f64 U U)) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) (.f64 U U)) (*.f64 Om Om))))))
	29.2b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (/.f64 1 (.f64 (cbrt.f64 Om) (cbrt.f64 Om))) (.f64 (/.f64 l (cbrt.f64 Om)) (.f64 (fma.f64 l -2 (.f64 (-.f64 U* U) (.f64 n (/.f64 l Om)))) (.f64 (*.f64 2 n) U))))))
	61.9b	(sqrt.f64 (.f64 2 (/.f64 (.f64 (pow.f64 n 2) (.f64 (pow.f64 l 2) (.f64 U U*))) (pow.f64 Om 2))))
	40.6b	(.f64 (sqrt.f64 (.f64 2 (.f64 n U))) (sqrt.f64 (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om)))) t)))
	36.0b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 2 (/.f64 (.f64 n (.f64 (pow.f64 l 2) (.f64 (-.f64 (/.f64 (.f64 n U) Om) (+.f64 2 (/.f64 (.f64 n U) Om))) U))) Om))))
	30.3b	(sqrt.f64 (.f64 (.f64 (.f64 2 (.f64 n U)) (.f64 (cbrt.f64 (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (/.f64 (.f64 n l) Om))) t)) (cbrt.f64 (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (/.f64 (.f64 n l) Om))) t)))) (cbrt.f64 (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))))))))
	28.8b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (.f64 (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (.f64 n (/.f64 l Om))))) (.f64 2 n)) U)))
	60.3b	(.f64 (sqrt.f64 (.f64 n (.f64 U (.f64 n (-.f64 (.f64 (.f64 l l) U) (.f64 (*.f64 l l) U)))))) (/.f64 (sqrt.f64 2) Om))
	62.7b	(-.f64 (fma.f64 (.f64 n (sqrt.f64 2)) (sqrt.f64 (.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (/.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)))))))) (.f64 (sqrt.f64 (/.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om))))) (/.f64 (.f64 (sqrt.f64 2) (*.f64 l l)) Om)))
	31.7b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (/.f64 l Om) (.f64 (fma.f64 l -2 (neg.f64 (/.f64 (.f64 n (.f64 l U)) Om))) (.f64 (*.f64 2 n) U)))))
	30.7b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (/.f64 (*.f64 n l) Om))) t))))
	57.4b	(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 (.f64 2 (-.f64 (/.f64 (.f64 (.f64 n n) (.f64 U U)) (.f64 Om Om)) (/.f64 (.f64 (.f64 n n) (.f64 U U)) (.f64 Om Om)))) (.f64 -4 (/.f64 (*.f64 n U) Om)))) (neg.f64 l))
	59.0b	(.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 l (sqrt.f64 (+.f64 (.f64 2 (-.f64 (/.f64 (.f64 (.f64 n n) (.f64 U U)) (.f64 Om Om)) (/.f64 (.f64 (.f64 n n) (.f64 U U)) (.f64 Om Om)))) (.f64 -4 (/.f64 (*.f64 n U) Om)))))
	39.0b	(.f64 (sqrt.f64 (.f64 n (*.f64 t U))) (sqrt.f64 2))
	30.9b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 -2 (/.f64 (.f64 (.f64 n (.f64 l U)) (fma.f64 2 l (/.f64 (.f64 n (*.f64 l U)) Om))) Om))))
	61.6b	(neg.f64 (.f64 n (sqrt.f64 (.f64 -2 (.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om))))))))
	61.5b	(.f64 (/.f64 1 Om) (sqrt.f64 (-.f64 (.f64 2 (.f64 (pow.f64 n 2) (.f64 (pow.f64 l 2) (.f64 U U)))) (.f64 2 (.f64 (pow.f64 n 2) (*.f64 (pow.f64 l 2) (pow.f64 U 2)))))))
	35.7b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (cbrt.f64 (pow.f64 (.f64 (/.f64 l Om) (.f64 (.f64 2 (.f64 n U)) (fma.f64 l -2 (.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om)))))) 3))))

Compiler

Compiled 26455 to 13700 computations (48.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.4b	(.f64 (fma.f64 l -2 (.f64 (.f64 n (-.f64 U U)) (/.f64 l Om))) (.f64 (.f64 2 n) U))
✓	7.0b	(.f64 (/.f64 l Om) (.f64 (fma.f64 l -2 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om))) (.f64 (.f64 2 n) U)))
✓	10.1b	(.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om))
✓	18.5b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (/.f64 l Om) (.f64 (fma.f64 l -2 (.f64 (.f64 n (-.f64 U U)) (/.f64 l Om))) (.f64 (.f64 2 n) U)))))

series1.1s (5.5%)

Counts

4 → 228

Calls

4 calls:

698.0ms	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (/.f64 l Om) (.f64 (fma.f64 l -2 (.f64 (.f64 n (-.f64 U U)) (/.f64 l Om))) (.f64 (.f64 2 n) U)))))
207.0ms	(.f64 (/.f64 l Om) (.f64 (fma.f64 l -2 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om))) (.f64 (.f64 2 n) U)))
145.0ms	(.f64 (fma.f64 l -2 (.f64 (.f64 n (-.f64 U U)) (/.f64 l Om))) (.f64 (.f64 2 n) U))
34.0ms	(.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om))

rewrite45.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-cbrt-cube_binary64`
57×	`add-exp-log_binary64`
33×	`pow1_binary64`
32×	`cbrt-unprod_binary64`
32×	`prod-exp_binary64`

Counts

4 → 124

Calls

4 calls:

11.0ms	(.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om))
9.0ms	(.f64 (/.f64 l Om) (.f64 (fma.f64 l -2 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om))) (.f64 (.f64 2 n) U)))
6.0ms	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (/.f64 l Om) (.f64 (fma.f64 l -2 (.f64 (.f64 n (-.f64 U U)) (/.f64 l Om))) (.f64 (.f64 2 n) U)))))
5.0ms	(.f64 (fma.f64 l -2 (.f64 (.f64 n (-.f64 U U)) (/.f64 l Om))) (.f64 (.f64 2 n) U))

simplify367.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-def_binary64`
389×	`*-commutative_binary64`
191×	`associate-r_binary64`
182×	`cancel-sign-sub-inv_binary64`
143×	`sub-neg_binary64`

Counts

352 → 327

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	944	22995
1	3066	21381
2	4891	21173
3	5151	21173

prune726.0ms (3.7%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	322	5	327
Fresh	6	19	25
Picked	0	1	1
Done	0	0	0
Total	328	25	353

Error

11.5b

Counts

353 → 25

Alt Table

Status	Error	Program
	30.1b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (/.f64 l Om) (.f64 -4 (.f64 n (*.f64 l U))))))
	30.9b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 -2 (/.f64 (.f64 (.f64 n (.f64 l U)) (fma.f64 2 l (/.f64 (.f64 n (*.f64 l U)) Om))) Om))))
	35.6b	(sqrt.f64 (.f64 n (fma.f64 2 (.f64 U t) (.f64 -4 (/.f64 (.f64 (*.f64 l l) U) Om)))))
	57.9b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 n (.f64 U (-.f64 (/.f64 (.f64 n (.f64 (.f64 l l) U)) (.f64 Om Om)) (fma.f64 2 (/.f64 (.f64 l l) Om) (/.f64 (.f64 n (.f64 (.f64 l l) U)) (*.f64 Om Om))))))))
✓	28.2b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (/.f64 l Om) (.f64 (fma.f64 l -2 (.f64 (.f64 n (-.f64 U U)) (/.f64 l Om))) (.f64 (.f64 2 n) U)))))
	34.6b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 -4 (/.f64 (.f64 n (.f64 (pow.f64 l 2) U)) Om))))
	61.5b	(.f64 n (sqrt.f64 (.f64 2 (-.f64 (/.f64 (.f64 (.f64 l l) (.f64 U U)) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) (.f64 U U)) (*.f64 Om Om))))))
	61.9b	(sqrt.f64 (.f64 2 (/.f64 (.f64 (pow.f64 n 2) (.f64 (pow.f64 l 2) (.f64 U U*))) (pow.f64 Om 2))))
	40.6b	(.f64 (sqrt.f64 (.f64 2 (.f64 n U))) (sqrt.f64 (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om)))) t)))
	36.0b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 2 (/.f64 (.f64 n (.f64 (pow.f64 l 2) (.f64 (-.f64 (/.f64 (.f64 n U) Om) (+.f64 2 (/.f64 (.f64 n U) Om))) U))) Om))))
	30.3b	(sqrt.f64 (.f64 (.f64 (.f64 2 (.f64 n U)) (.f64 (cbrt.f64 (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (/.f64 (.f64 n l) Om))) t)) (cbrt.f64 (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (/.f64 (.f64 n l) Om))) t)))) (cbrt.f64 (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))))))))
	28.8b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (.f64 (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (.f64 n (/.f64 l Om))))) (.f64 2 n)) U)))
	60.3b	(.f64 (sqrt.f64 (.f64 n (.f64 U (.f64 n (-.f64 (.f64 (.f64 l l) U) (.f64 (*.f64 l l) U)))))) (/.f64 (sqrt.f64 2) Om))
	62.7b	(-.f64 (fma.f64 (.f64 n (sqrt.f64 2)) (sqrt.f64 (.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (/.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)))))))) (.f64 (sqrt.f64 (/.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om))))) (/.f64 (.f64 (sqrt.f64 2) (*.f64 l l)) Om)))
	39.3b	(sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (/.f64 l Om) (.f64 2 (/.f64 (.f64 n (.f64 U (.f64 n (.f64 l (-.f64 U U))))) Om)))))
	61.5b	(.f64 (/.f64 1 Om) (sqrt.f64 (-.f64 (.f64 2 (.f64 (pow.f64 n 2) (.f64 (pow.f64 l 2) (.f64 U U)))) (.f64 2 (.f64 (pow.f64 n 2) (*.f64 (pow.f64 l 2) (pow.f64 U 2)))))))
	30.7b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (fma.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (/.f64 (*.f64 n l) Om))) t))))
	57.4b	(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)))
	59.0b	(.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 l (sqrt.f64 (fma.f64 2 (-.f64 (/.f64 (.f64 (.f64 n n) (.f64 U U)) (.f64 Om Om)) (/.f64 (.f64 (.f64 n n) (.f64 U U)) (.f64 Om Om))) (.f64 -4 (/.f64 (.f64 n U) Om)))))
	39.0b	(.f64 (sqrt.f64 (.f64 n (*.f64 t U))) (sqrt.f64 2))
	29.6b	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U U) (.f64 n (/.f64 l Om)))))))) (cbrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (.f64 n (/.f64 l Om))))))))) (cbrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (fma.f64 l -2 (.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om))))))))))
	61.6b	(neg.f64 (.f64 n (sqrt.f64 (.f64 -2 (.f64 U (-.f64 (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) U) (.f64 Om Om))))))))
	28.4b	(.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (/.f64 l Om) (.f64 (fma.f64 l -2 (.f64 (.f64 n (-.f64 U* U)) (/.f64 l Om))) (.f64 (.f64 2 n) U)))))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 t (.f64 (.f64 2 n) U)) (.f64 (/.f64 l Om) (.f64 (fma.f64 l -2 (.f64 (.f64 n (-.f64 U U)) (/.f64 l Om))) (.f64 (.f64 2 n) U)))))))
	58.9b	(.f64 (sqrt.f64 (fma.f64 2 (-.f64 (/.f64 (.f64 (.f64 n n) (.f64 U U)) (.f64 Om Om)) (/.f64 (.f64 (.f64 n n) (.f64 U U)) (.f64 Om Om))) (.f64 -4 (/.f64 (.f64 n U) Om)))) (neg.f64 l))

Compiler

Compiled 26268 to 13334 computations (49.2% saved)

regimes3.1s (15.8%)

Accuracy

Total 12.7b remaining (50.9%)

Threshold costs 0b (0%)

Counts

192 → 3

Compiler

Compiled 61546 to 37842 computations (38.5% saved)

bsearch12.0ms (0.1%)

Compiler: Compiled 33 to 22 computations (33.3% saved)

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

202×	`distribute-rgt-neg-in_binary64`
146×	`cancel-sign-sub-inv_binary64`
130×	`distribute-lft-neg-in_binary64`
129×	`distribute-lft-neg-out_binary64`
111×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	224
1	97	224
2	129	224
3	160	224
4	189	224
5	212	224
6	230	224
7	252	224
8	284	224
9	343	224
10	444	224
11	578	224
12	705	224
13	808	224
14	893	224
15	923	224
16	927	224
17	921	224

end432.0ms (2.2%)

Compiler: Compiled 1321 to 753 computations (43% saved)

Iter	Nodes	Cost
0	56	224
1	97	224
2	129	224
3	160	224
4	189	224
5	212	224
6	230	224
7	252	224
8	284	224
9	343	224
10	444	224
11	578	224
12	705	224
13	808	224
14	893	224
15	923	224
16	927	224
17	921	224

Iter	Nodes	Cost
0	56	224
1	97	224
2	129	224
3	160	224
4	189	224
5	212	224
6	230	224
7	252	224
8	284	224
9	343	224
10	444	224
11	578	224
12	705	224
13	808	224
14	893	224
15	923	224
16	927	224
17	921	224

Details

analyze3.7s (19%)

sample4.5s (23%)

simplify47.0ms (0.2%)

prune4.0ms (0%)

localize15.0ms (0.1%)

series1.2s (5.9%)

rewrite34.0ms (0.2%)

simplify266.0ms (1.4%)

prune517.0ms (2.6%)

localize17.0ms (0.1%)

series900.0ms (4.6%)

rewrite24.0ms (0.1%)

simplify224.0ms (1.1%)

prune617.0ms (3.1%)

localize17.0ms (0.1%)

series838.0ms (4.3%)

rewrite24.0ms (0.1%)

simplify229.0ms (1.2%)

prune642.0ms (3.3%)

localize17.0ms (0.1%)

series1.1s (5.5%)

rewrite45.0ms (0.2%)

simplify367.0ms (1.9%)

prune726.0ms (3.7%)

regimes3.1s (15.8%)

bsearch12.0ms (0.1%)

simplify31.0ms (0.2%)

end432.0ms (2.2%)

Profiling

Iter	Nodes	Cost
0	56	224
1	97	224
2	129	224
3	160	224
4	189	224
5	212	224
6	230	224
7	252	224
8	284	224
9	343	224
10	444	224
11	578	224
12	705	224
13	808	224
14	893	224
15	923	224
16	927	224
17	921	224