Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze648.0ms (4%)

Memory

20.2MiB live, 688.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
0%	0%	99.7%	0.3%	0%	0%	0%	1
0%	0%	99.7%	0.3%	0%	0%	0%	2
0%	0%	99.7%	0.3%	0%	0%	0%	3
0%	0%	99.7%	0.3%	0%	0%	0%	4
0%	0%	99.7%	0.3%	0%	0%	0%	5
0%	0%	99.7%	0.3%	0%	0%	0%	6
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	7
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	8
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	9
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	10
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	11
18.8%	18.7%	81%	0.3%	0%	0%	0%	12

Compiler

Compiled 20 to 19 computations (5% saved)

sample2.2s (13.8%)

Memory

20.0MiB live, 2 629.5MiB allocated

Samples

1.1s	8 256×	0	valid
399.0ms	2 833×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 959.0ms

ival-mult: 360.0ms (37.5% of total)

ival-div: 250.0ms (26.1% of total)

ival-pow2: 180.0ms (18.8% of total)

ival-sqrt: 77.0ms (8% of total)

ival-sub: 68.0ms (7.1% of total)

exact: 11.0ms (1.1% of total)

ival-true: 9.0ms (0.9% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain277.0ms (1.7%)

Memory

5.1MiB live, 323.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
32	-	2	(-2.2957835620550036e+264 -8.880646610504484e+67 -6.961488287734616e-68 -4.7875976338032466e-110 -1.5412999797042164e+203 1.1984563583476958e-83)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
29	-	0	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
23	-	2	(1.695068595608054e-84 6.371801011480971e-167 1.2989506231604242e-154 -3.512699912070907e-268 1.912405088100736e+61 -2.3130421224221106e-308)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
12	-	0	-	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`w0`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`M`
0	-	0	-	`h`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	oflow-rescue	29	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	64
↳	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`	overflow	68
↳	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	overflow	39
↳	`(*.f64 M D)`	overflow	21
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	33
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	68
↳	`(/.f64 h l)`	overflow	28
`*.f64`	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`	*no**	12	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	9	0
↳	`(*.f64 M D)`	overflow	21
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	64
↳	`(*.f64 M D)`	overflow	21
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	33
↳	`(/.f64 h l)`	underflow	34
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	2	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	101
↳	`(*.f64 M D)`	underflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	41
↳	`(/.f64 h l)`	overflow	28

Confusion

	Predicted +	Predicted -
+	39	11
-	13	193

Precision

0.75

Recall

0.78

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	39	0	11
-	13	0	193

Precision?

0.75

Recall?

0.78

Freqs

test

number	freq
0	204
1	48
2	4

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

102.0ms

512×

valid

Compiler

Compiled 218 to 55 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 25.0ms (41.4% of total)

ival-sub: 14.0ms (23.2% of total)

ival-mult: 11.0ms (18.2% of total)

ival-pow2: 5.0ms (8.3% of total)

ival-sqrt: 3.0ms (5% of total)

ival-true: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

ival-assert: 0.0ms (0% of total)

preprocess180.0ms (1.1%)

Memory

-12.8MiB live, 170.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 232×	`lower-*.f32`
5 224×	`lower-*.f64`
5 184×	`lower-/.f32`
5 180×	`lower-/.f64`
1 444×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	501
1	520	492
2	1570	492
3	4468	492
0	17	18
0	26	18
1	47	18
2	115	18
3	826	18
4	4554	18
5	7862	18
0	8022	18

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Outputs

(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (*.f64 D M)) #s(literal 1 binary64))) w0)

Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 6 to 6 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify156.0ms (1%)

Memory

-5.9MiB live, 149.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
cost-diff	5504	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Rules

5 232×	`lower-*.f32`
5 224×	`lower-*.f64`
5 184×	`lower-/.f32`
5 180×	`lower-/.f64`
1 444×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	26	95
1	47	95
2	115	95
3	826	95
4	4554	95
5	7862	95
0	8022	95

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
#s(literal 1 binary64)
(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))) (.f64 D M)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))) (*.f64 D M)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(fma.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))) (*.f64 D M)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(.f64 (/.f64 h l) (.f64 (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))) (.f64 D M)))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))) (*.f64 D M))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) D)
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

localize49.0ms (0.3%)

Memory

17.4MiB live, 56.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	2.8609656156878045	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
accuracy	5.156331283701666	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	6.707788810989373	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy	7.177683059228664	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

35.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (40% of total)

ival-div: 4.0ms (26.7% of total)

ival-sqrt: 2.0ms (13.3% of total)

ival-pow2: 2.0ms (13.3% of total)

ival-sub: 1.0ms (6.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series131.0ms (0.8%)

Memory

4.4MiB live, 120.3MiB allocated

Counts

6 → 324

Calls

Call 1

Inputs
#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())

Calls

81 calls:

Time	Variable		Point	Expression
35.0ms	M	@	inf	(pow (/ (* M D) (* 2 d)) 2)
23.0ms	h	@	-inf	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
11.0ms	l	@	0	(* (pow (/ (* M D) (* 2 d)) 2) (/ h l))
4.0ms	l	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
3.0ms	w0	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))

simplify264.0ms (1.6%)

Memory

-21.9MiB live, 244.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 592×	`lower-*.f64`
10 592×	`lower-*.f32`
8 912×	`lower-fma.f64`
8 912×	`lower-fma.f32`
2 750×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	628	8158
1	2189	8136
0	8486	7930

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 317

Calls

Call 1

Inputs
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))

Outputs
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
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(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
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(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))

rewrite218.0ms (1.3%)

Memory

28.2MiB live, 350.5MiB allocated

Rules

5 804×	`lower-*.f32`
5 796×	`lower-*.f64`
4 036×	`lower-fma.f64`
4 036×	`lower-fma.f32`
3 008×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	78
0	26	78
1	82	78
2	550	78
3	7073	78
0	8661	78

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 689

Calls

Call 1

Inputs
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Outputs
(.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (.f64 d (/.f64 #s(literal 2 binary64) M))) D)
(.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (.f64 #s(literal -2 binary64) d)) (*.f64 (neg.f64 M) D))
(.f64 (.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) D) (/.f64 #s(literal 1 binary64) d))
(.f64 (.f64 (.f64 (.f64 (.f64 D M) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) (/.f64 D d)) (/.f64 D d))
(.f64 (.f64 (.f64 M M) (.f64 (/.f64 #s(literal 1/2 binary64) d) D)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D))
(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)))
(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 D d)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 M M)) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) D) (/.f64 #s(literal 1/2 binary64) d)))
(.f64 (.f64 #s(literal 1 binary64) M) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)))
(.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (*.f64 (/.f64 M d) (/.f64 M d)))
(.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))
(.f64 (.f64 D D) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)))
(.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(.f64 (/.f64 (.f64 (neg.f64 M) D) #s(literal -1 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)))
(.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal -2 binary64)) (/.f64 (.f64 (neg.f64 M) D) d))
(.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 d)) (.f64 (*.f64 D M) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal -1 binary64)) (/.f64 (.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) d) (.f64 (*.f64 #s(literal 1/2 binary64) M) D))
(.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) (.f64 (/.f64 D d) M))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 d M)) (/.f64 (sqrt.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 #s(literal 2 binary64) D)))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 #s(literal 2 binary64) D)) (/.f64 (sqrt.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 d M)))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 d D)) (/.f64 (sqrt.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 #s(literal 2 binary64) M)))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 #s(literal 2 binary64) M)) (/.f64 (sqrt.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 d D)))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 d #s(literal 2 binary64))) (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 #s(literal 1 binary64) (*.f64 D M))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) d) (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 #s(literal 2 binary64) (.f64 D M))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 d (.f64 D M))))
(.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 d #s(literal 2 binary64))) (/.f64 (/.f64 M d) (/.f64 #s(literal 1 binary64) (.f64 D M))))
(.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 M d) (/.f64 d (*.f64 D M))))
(.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) D)) (/.f64 (/.f64 M d) (/.f64 d M)))
(.f64 (/.f64 (/.f64 M d) (/.f64 d M)) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) D)))
(.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) M)) (/.f64 (/.f64 M d) (/.f64 d D)))
(.f64 (/.f64 (/.f64 M d) (/.f64 d D)) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) M)))
(.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 d D)) (/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) M)))
(.f64 (/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) M)) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 d D)))
(.f64 (/.f64 (/.f64 M d) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 D M))))
(.f64 (/.f64 (/.f64 M d) d) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 D M))))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 d #s(literal 2 binary64))) (/.f64 M (/.f64 #s(literal 1 binary64) (.f64 D M))))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) d) (/.f64 M (/.f64 #s(literal 2 binary64) (*.f64 D M))))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 2 binary64)) (/.f64 M (/.f64 d (*.f64 D M))))
(.f64 (/.f64 (.f64 (*.f64 #s(literal 1/2 binary64) M) D) (/.f64 d M)) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 2 binary64) D)))
(.f64 (/.f64 (.f64 (*.f64 #s(literal 1/2 binary64) M) D) (/.f64 #s(literal 2 binary64) D)) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 d M)))
(.f64 (/.f64 (.f64 (*.f64 #s(literal 1/2 binary64) M) D) (/.f64 d D)) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 2 binary64) M)))
(.f64 (/.f64 (.f64 (*.f64 #s(literal 1/2 binary64) M) D) (/.f64 #s(literal 2 binary64) M)) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 d D)))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) D) (.f64 d #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (*.f64 D M))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) D) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 d (.f64 D M))))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) d) (.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) M) D) D) M))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 2 binary64)) (/.f64 (.f64 D M) (/.f64 d (*.f64 D M))))
(.f64 (/.f64 (/.f64 D d) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 #s(literal 1 binary64) (.f64 D M))))
(.f64 (/.f64 (/.f64 D d) d) (/.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 #s(literal 2 binary64) (*.f64 D M))))
(.f64 (/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) D)) (/.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 d M)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 d M)) (/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) D)))
(.f64 (/.f64 (/.f64 D d) (/.f64 d M)) (/.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 #s(literal 2 binary64) D)))
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(/.f64 #s(literal 1 binary64) (.f64 (/.f64 d (.f64 D M)) #s(literal 2 binary64)))
(/.f64 (.f64 D M) (.f64 d #s(literal 2 binary64)))
(/.f64 M (*.f64 d (/.f64 #s(literal 2 binary64) D)))
(neg.f64 (.f64 (/.f64 (.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(literal 1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) d)) (/.f64 (.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)))

eval161.0ms (1%)

Memory: -1.5MiB live, 390.8MiB allocated
Compiler: Compiled 31 317 to 4 359 computations (86.1% saved)

prune219.0ms (1.3%)

Memory

9.4MiB live, 571.2MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	993	13	1 006
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	994	13	1 007

Accuracy

88.9%

Counts

1 007 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 3 binary64)))) w0) (sqrt.f64 (fma.f64 (fma.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) #s(literal 1 binary64)) (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 1 binary64))))
▶	76.5%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
▶	77.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
	78.8%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
	84.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
	78.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
▶	86.8%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
	76.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
	54.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64)))))
▶	15.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
	53.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
▶	64.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	53.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))

Compiler

Compiled 778 to 458 computations (41.1% saved)

simplify100.0ms (0.6%)

Memory

-3.5MiB live, 163.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
cost-diff	384	(.f64 (.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
cost-diff	384	(fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
cost-diff	128	(fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))
cost-diff	384	(/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))) l)
cost-diff	0	(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
cost-diff	0	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
cost-diff	0	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
cost-diff	384	(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))
cost-diff	512	(/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))

Rules

8 628×	`lower-*.f32`
8 584×	`lower-*.f64`
2 070×	`lower-/.f32`
2 054×	`lower-/.f64`
1 908×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	562
0	105	565
1	220	565
2	748	552
3	5065	552
0	8106	549

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
(/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
(.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
(*.f64 D #s(literal 1/2 binary64))
(*.f64 (/.f64 M d) h)
(/.f64 M d)
h
(neg.f64 l)
l
#s(literal 1 binary64)
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(.f64 #s(literal -1/4 binary64) (.f64 D D))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d))))
(*.f64 M M)
M
(/.f64 h (.f64 l (.f64 d d)))
h
(.f64 l (.f64 d d))
l
(*.f64 d d)
d
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))) l)
(.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d))))
(*.f64 D M)
D
M
(/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))
(.f64 #s(literal 4 binary64) (.f64 d d))
#s(literal 4 binary64)
(*.f64 d d)
d
l
(neg.f64 h)
h
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)
(.f64 (.f64 D M) #s(literal -1/2 binary64))
(*.f64 D M)
D
M
#s(literal -1/2 binary64)
d
(.f64 (.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
(*.f64 (/.f64 h l) D)
(/.f64 h l)
h
l
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 h (.f64 (.f64 d d) l)) M)) (.f64 #s(literal -1/2 binary64) (.f64 D M)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 h (.f64 (.f64 d d) l)) M)) (.f64 #s(literal -1/2 binary64) (*.f64 D M)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 h (.f64 (.f64 d d) l)) M)) (.f64 #s(literal -1/2 binary64) (*.f64 D M)) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
(/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
(.f64 (.f64 (.f64 #s(literal -1/2 binary64) D) h) (/.f64 M (.f64 l d)))
(.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
(.f64 h (.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))
(*.f64 D #s(literal 1/2 binary64))
(*.f64 (/.f64 M d) h)
(*.f64 h (/.f64 M d))
(/.f64 M d)
h
(neg.f64 l)
l
#s(literal 1 binary64)
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M))
(.f64 #s(literal -1/4 binary64) (.f64 D D))
(.f64 (.f64 D D) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d))))
(.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M)
(*.f64 M M)
M
(/.f64 h (.f64 l (.f64 d d)))
(/.f64 h (.f64 (.f64 d d) l))
h
(.f64 l (.f64 d d))
(.f64 (.f64 d d) l)
l
(*.f64 d d)
d
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 h (.f64 D M)) (/.f64 (.f64 D M) (.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 h (.f64 D M)) (/.f64 (.f64 D M) (.f64 (.f64 (.f64 d d) l) #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))
(fma.f64 (.f64 h (.f64 D M)) (/.f64 (.f64 D M) (.f64 (.f64 (.f64 d d) l) #s(literal -4 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))) l)
(.f64 (.f64 (.f64 D M) D) (/.f64 M (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l)))
(.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d))))
(.f64 (.f64 (.f64 D M) D) (/.f64 M (.f64 #s(literal 4 binary64) (*.f64 d d))))
(*.f64 D M)
D
M
(/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))
(.f64 (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))) M)
(.f64 #s(literal 4 binary64) (.f64 d d))
#s(literal 4 binary64)
(*.f64 d d)
d
l
(neg.f64 h)
h
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 h (.f64 (.f64 d d) l)) M)) (.f64 #s(literal -1/2 binary64) (.f64 D M)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 h (.f64 (.f64 d d) l)) M)) (.f64 #s(literal -1/2 binary64) (*.f64 D M)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 h (.f64 (.f64 d d) l)) M)) (.f64 #s(literal -1/2 binary64) (*.f64 D M)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) d)
(.f64 (.f64 D M) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 D M))
(*.f64 D M)
D
M
#s(literal -1/2 binary64)
d
(.f64 (.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
(.f64 (.f64 (.f64 h #s(literal 1/2 binary64)) D) (/.f64 M (.f64 l d)))
(*.f64 (/.f64 h l) D)
(/.f64 h l)
h
l
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize181.0ms (1.1%)

Memory

-8.9MiB live, 387.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	4.469042239237934	(*.f64 (/.f64 h l) D)
accuracy	5.16367639074618	(/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)
accuracy	6.707788810989373	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))
accuracy	8.952258606686605	(.f64 (.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
accuracy	4.01766916359461	(/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))) l)
accuracy	4.037928086606386	(.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d))))
accuracy	6.707788810989373	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))
accuracy	10.88200438874296	(/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))
accuracy	8.159505602972885	(.f64 l (.f64 d d))
accuracy	12.03424950277271	(.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d))))
accuracy	15.915785191845323	(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
accuracy	39.42978144594645	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))
accuracy	2.8609656156878045	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	22.820441981547763	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	6.670058104726876	(*.f64 (/.f64 M d) h)
accuracy	6.707788810989373	(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
accuracy	7.124836857756004	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	8.122634396650202	(.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))

Samples

111.0ms

256×

valid

Compiler

Compiled 515 to 62 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 47.0ms (58.7% of total)

ival-div: 15.0ms (18.7% of total)

ival-sqrt: 8.0ms (10% of total)

ival-add: 3.0ms (3.7% of total)

ival-neg: 2.0ms (2.5% of total)

ival-pow2: 2.0ms (2.5% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series148.0ms (0.9%)

Memory

-5.1MiB live, 319.6MiB allocated

Counts

27 → 1 464

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) (patch #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))))))) (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d))))))) (patch (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))))) (patch #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d))))) (patch (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (patch (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (patch (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (patch (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 M d) h) (patch (.f64 (/.f64 M d) h) #<representation binary64>) () ())
#s(alt (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) (patch (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #<representation binary64>) () ())
#s(alt (.f64 l (.f64 d d)) (patch (.f64 l (.f64 d d)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))) (patch (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) (patch (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())

Outputs
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 M) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 M) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 M) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 M) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf M) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf M) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf M) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf M) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf M) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf M) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf M) (#s(alt (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf M) (#s(alt (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor 0 h) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor 0 h) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor 0 h) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor 0 h) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor inf h) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor inf h) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor inf h) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor inf h) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor -inf h) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor -inf h) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor -inf h) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor -inf h) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor 0 l) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor 0 l) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor 0 l) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor 0 l) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor inf l) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor inf l) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor inf l) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor inf l) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor -inf l) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor -inf l) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor -inf l) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor -inf l) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor 0 D) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor 0 D) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor 0 D) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor 0 D) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor inf D) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor inf D) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor inf D) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor inf D) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor -inf D) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor -inf D) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor -inf D) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) l) (taylor -inf D) (#s(alt (.f64 (/.f64 h l) D) (patch (.f64 (/.f64 h l) D) #<representation binary64>) () ())) ())

Calls

366 calls:

Time	Variable		Point	Expression
10.0ms	M	@	0	(* (* D 1/2) (* (/ M d) h))
9.0ms	d	@	0	(/ (* (* D 1/2) (* (/ M d) h)) (neg l))
2.0ms	h	@	inf	(* (/ h l) D)
1.0ms	D	@	0	(/ (* (* D 1/2) (* (/ M d) h)) (neg l))
1.0ms	D	@	inf	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))

simplify497.0ms (3.1%)

Memory

5.6MiB live, 437.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 418×	`lower-*.f64`
10 418×	`lower-*.f32`
8 468×	`lower-fma.f64`
8 468×	`lower-fma.f32`
2 730×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	659	36795
1	2276	36565
0	8166	35517

Stop Event

1×	iter limit
1×	node limit

Counts

1 464 → 1 429

Calls

Call 1

Inputs
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
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(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
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w0
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w0
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w0
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w0
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w0
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w0
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1
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(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
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w0
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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1
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(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)

Outputs
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) h) (.f64 l d))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 d d) l))))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) l)) (.f64 d d)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) l)) (.f64 d d)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) l)) (.f64 d d)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 d d) l))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 d d) l))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 d d) d) w0)) (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (.f64 D D) D))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M) D))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 d d) d) w0)) (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (.f64 D D) D))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M) D))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(.f64 (.f64 (neg.f64 D) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d)) (sqrt.f64 (/.f64 h l)))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 (neg.f64 M) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M) D))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (neg.f64 M) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 d d) d) w0)) (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (.f64 D D) D))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M) D))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(.f64 (neg.f64 M) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 d d) d) w0)) (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (.f64 D D) D))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M) D))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 D D) (pow.f64 M #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 (.f64 (pow.f64 d #s(literal 4 binary64)) l) l))) #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) w0) (.f64 (.f64 d d) l))) (.f64 D D) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 M #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 (.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (/.f64 (.f64 (.f64 #s(literal -1/1024 binary64) (.f64 D D)) (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) w0) (.f64 (.f64 h h) h))) (.f64 (.f64 (pow.f64 d #s(literal 6 binary64)) l) (.f64 l l)))) (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) w0) (.f64 (.f64 d d) l))) (*.f64 D D) w0)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 d d) d) w0)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (.f64 M M)))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 d d) d) w0)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (.f64 M M)))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(.f64 (.f64 (neg.f64 D) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d)) (sqrt.f64 (/.f64 h l)))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (neg.f64 D) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 d d) d) w0)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (.f64 M M)))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(.f64 (neg.f64 D) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 d d) d) w0)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (.f64 M M)))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) w0)
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 (.f64 d d) l)) (/.f64 (.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) w0)) (.f64 (.f64 (pow.f64 d #s(literal 4 binary64)) l) l))) h w0)
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) w0) (.f64 (.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (/.f64 (.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) w0) h)) (.f64 (.f64 (pow.f64 d #s(literal 6 binary64)) l) (.f64 l l)))) h (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 (.f64 d d) l)))) h w0)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 d (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)))) (sqrt.f64 (/.f64 l (.f64 (.f64 h h) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))) h)
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 d d) d) w0)) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (.f64 M M)) (.f64 (.f64 D D) D))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 d (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)))) (sqrt.f64 (/.f64 l (.f64 (.f64 h h) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (/.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d)))) h)
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 d d) d) w0)) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (.f64 M M)) (.f64 (.f64 D D) D))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 d (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)))) (sqrt.f64 (/.f64 l (.f64 (.f64 h h) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (/.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))))) h)
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) w0) M) D) d)) (sqrt.f64 (/.f64 h l)))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(.f64 (neg.f64 h) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) w0) M) D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) w0) d) (.f64 M D)) (sqrt.f64 (/.f64 l (.f64 (.f64 h h) h))))))
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
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(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(/ (* D h) l)
(*.f64 D (/.f64 h l))

rewrite462.0ms (2.9%)

Memory

17.1MiB live, 333.8MiB allocated

Rules

4 290×	`lower-*.f32`
4 246×	`lower-*.f64`
4 186×	`lower-/.f32`
4 170×	`lower-/.f64`
3 008×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	459
0	105	462
1	334	407
2	2394	407
0	8456	396

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

27 → 804

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))) l)
(fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))
(.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 M d) h)
(.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d))))
(.f64 l (.f64 d d))
(/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d)))
(.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d))))
(/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)
(*.f64 (/.f64 h l) D)

Outputs
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 h (/.f64 M d))) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 #s(literal 1/2 binary64) D)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) D)) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 h (/.f64 M d))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 l (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) h)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 h (/.f64 M d)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) D) l))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) D) #s(literal -1 binary64)) (/.f64 (*.f64 h (/.f64 M d)) l))
(.f64 (/.f64 D #s(literal -1 binary64)) (/.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) h) l))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) #s(literal 1 binary64)) (/.f64 h l))
(.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 #s(literal 1/2 binary64) D))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M))
(.f64 (/.f64 #s(literal -1 binary64) l) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) h)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) l) (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) h) (/.f64 #s(literal 1 binary64) l))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 h l))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/2 binary64) D)))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (.f64 h (/.f64 #s(literal -1 binary64) l)))
(.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (neg.f64 h) l))
(.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) l))
(.f64 (.f64 h (/.f64 M d)) (/.f64 (*.f64 #s(literal 1/2 binary64) D) (neg.f64 l)))
(.f64 (.f64 h (/.f64 M d)) (.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 #s(literal -1 binary64) l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)))
(.f64 #s(literal 1/2 binary64) (.f64 D (/.f64 (.f64 h M) (.f64 (neg.f64 l) d))))
(.f64 D (/.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) h) (neg.f64 l)))
(.f64 D (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) h) (/.f64 #s(literal -1 binary64) l)))
(.f64 D (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 h M) (.f64 (neg.f64 l) d))))
(pow.f64 (/.f64 (/.f64 l (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) h)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) h)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) h) #s(literal 1 binary64))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) #s(literal 1 binary64))) l)
(/.f64 (neg.f64 (neg.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) h))) l)
(/.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) h) #s(literal 1 binary64)) l)
(/.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) h)) (neg.f64 l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 l (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) h)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) h))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) h) l)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 l (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) h)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) h)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) h)))
(/.f64 (.f64 (.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l))
(neg.f64 (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (.f64 l d)) M))
(-.f64 (/.f64 #s(literal 0 binary64) l) (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (.f64 l d)) M))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (.f64 l d)) M))
(exp.f64 (.f64 (log.f64 (/.f64 l (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) h))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (.f64 l d)) M) (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (.f64 l d)) M)) (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 (.f64 M D) #s(literal 1/2 binary64))) (.f64 d d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (.f64 l d)) M) (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (.f64 l d)) M)) (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 (.f64 M D) #s(literal 1/2 binary64))) (.f64 d d)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (.f64 l d))) M #s(literal -1 binary64))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 h h) h) (.f64 (.f64 l l) l)) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (.f64 l d)) M) (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (.f64 l d)) M)) (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 (.f64 M D) #s(literal 1/2 binary64))) (.f64 d d)) (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (.f64 l d))) M #s(literal 1 binary64)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 h h) h) (.f64 (.f64 l l) l)) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 (.f64 M D) #s(literal 1/2 binary64))) (.f64 d d))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (.f64 l d))) M #s(literal 1 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (.f64 l d))) M #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (.f64 l d)) M) (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (.f64 l d)) M)) (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 (.f64 M D) #s(literal 1/2 binary64))) (.f64 d d))))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (*.f64 (neg.f64 h) D)) l)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) D)) (neg.f64 (/.f64 l h)))
(/.f64 (neg.f64 (*.f64 D (neg.f64 h))) l)
(/.f64 (neg.f64 (*.f64 D #s(literal 1 binary64))) (neg.f64 (/.f64 l h)))
(/.f64 (neg.f64 (neg.f64 (*.f64 h D))) l)
(/.f64 (*.f64 (neg.f64 h) D) (neg.f64 l))
(/.f64 (*.f64 #s(literal 1 binary64) D) (/.f64 l h))
(/.f64 (*.f64 D (neg.f64 h)) (neg.f64 l))
(/.f64 (*.f64 D #s(literal 1 binary64)) (/.f64 l h))
(/.f64 (neg.f64 (*.f64 h D)) (neg.f64 l))
(/.f64 (neg.f64 D) (neg.f64 (/.f64 l h)))
(/.f64 (*.f64 h D) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 h D))))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 h D)))
(/.f64 D (/.f64 l h))

eval578.0ms (3.6%)

Memory: 13.1MiB live, 509.2MiB allocated
Compiler: Compiled 76 001 to 3 814 computations (95% saved)

prune593.0ms (3.7%)

Memory

-10.1MiB live, 756.0MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	2 215	18	2 233
Fresh	4	4	8
Picked	4	1	5
Done	0	0	0
Total	2 223	23	2 246

Accuracy

89.6%

Counts

2 246 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 3 binary64)))) w0) (sqrt.f64 (fma.f64 (fma.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) #s(literal 1 binary64)) (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 1 binary64))))
	74.6%	(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
	75.1%	(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
	17.8%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)))) w0)
	83.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
	75.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))))
▶	81.9%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
	75.4%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (*.f64 M D)) (neg.f64 h) #s(literal 1 binary64))))
	78.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
	73.8%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 M (/.f64 #s(literal 1/4 binary64) (.f64 d d))) D) (/.f64 (.f64 M D) l)) (neg.f64 h) #s(literal 1 binary64))))
	78.8%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 D (/.f64 #s(literal -1/2 binary64) d))) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
▶	85.0%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
	75.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M) d) #s(literal 1 binary64))))
	76.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
▶	54.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
▶	18.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))))
	18.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (neg.f64 h)) (.f64 (*.f64 l d) (neg.f64 d))))))
	19.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D))))
	17.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 h d))))))
	16.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 l d) d)))))))
	53.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
✓	64.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	53.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))

Compiler

Compiled 1 326 to 822 computations (38% saved)

simplify135.0ms (0.8%)

Memory

5.9MiB live, 162.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)
cost-diff	0	(fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))))
cost-diff	384	(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d))
cost-diff	0	(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
cost-diff	0	(*.f64 D D)
cost-diff	0	(.f64 (.f64 D D) #s(literal -1/8 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0)
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
cost-diff	128	(fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))
cost-diff	384	(.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))

Rules

7 092×	`lower-*.f32`
7 034×	`lower-*.f64`
4 290×	`lower-/.f32`
4 274×	`lower-/.f64`
1 624×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	751
0	126	751
1	277	751
2	908	747
3	4534	747
4	7612	747
0	8367	747

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) D)
#s(literal 1/2 binary64)
D
(.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(/.f64 (.f64 h M) (.f64 (neg.f64 l) d))
(*.f64 h M)
h
M
(*.f64 (neg.f64 l) d)
(neg.f64 l)
l
d
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0)
(.f64 (.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d)))
(.f64 (.f64 h (*.f64 M M)) w0)
(.f64 h (.f64 M M))
h
(*.f64 M M)
M
w0
(.f64 l (.f64 d d))
l
(*.f64 d d)
d
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(.f64 (.f64 M M) #s(literal -1/4 binary64))
(*.f64 M M)
M
#s(literal -1/4 binary64)
(.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l)))
(*.f64 D D)
D
(/.f64 h (.f64 (.f64 d d) l))
h
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d))
(.f64 (.f64 (.f64 (.f64 (*.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l))
(.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M)
(.f64 (.f64 (*.f64 D D) #s(literal -1/4 binary64)) M)
(.f64 (.f64 D D) #s(literal -1/4 binary64))
(*.f64 D D)
D
#s(literal -1/4 binary64)
M
(/.f64 h l)
h
l
(*.f64 d d)
d
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)
(.f64 (.f64 D M) #s(literal -1/2 binary64))
(*.f64 D M)
D
M
#s(literal -1/2 binary64)
d
#s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 h M) D))
#s(literal 1/2 binary64)
(.f64 (.f64 h M) D)
(*.f64 h M)
h
(*.f64 l d)
l
#s(literal 1 binary64)

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 M D) h) (/.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (.f64 d d) l))) #s(literal -1/2 binary64)) D #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 M D) h) (/.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (*.f64 d d) l))) #s(literal -1/2 binary64)) D #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 (.f64 M D) h) (/.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (*.f64 d d) l))) #s(literal -1/2 binary64)) D #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) D)
(*.f64 D #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
D
(.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(.f64 (neg.f64 (.f64 (.f64 M D) h)) (/.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (.f64 d d) l)))
(/.f64 (.f64 h M) (.f64 (neg.f64 l) d))
(.f64 (neg.f64 h) (/.f64 M (.f64 d l)))
(*.f64 h M)
(*.f64 M h)
h
M
(*.f64 (neg.f64 l) d)
(*.f64 d (neg.f64 l))
(neg.f64 l)
l
d
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) w0) (.f64 M (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)) w0))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0)
(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) w0) (.f64 M (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)) w0)
(.f64 (.f64 D D) #s(literal -1/8 binary64))
(.f64 #s(literal -1/8 binary64) (.f64 D D))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d)))
(.f64 (.f64 M (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)) w0)
(.f64 (.f64 h (*.f64 M M)) w0)
(.f64 (.f64 (*.f64 M M) h) w0)
(.f64 h (.f64 M M))
(.f64 (.f64 M M) h)
h
(*.f64 M M)
M
w0
(.f64 l (.f64 d d))
(.f64 (.f64 d d) l)
l
(*.f64 d d)
d
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 M (.f64 (/.f64 h (.f64 (.f64 d d) l)) M)) (.f64 #s(literal -1/4 binary64) (.f64 D D)) #s(literal 1 binary64)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 M (.f64 (/.f64 h (.f64 (.f64 d d) l)) M)) (.f64 #s(literal -1/4 binary64) (.f64 D D)) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 M (.f64 (/.f64 h (.f64 (.f64 d d) l)) M)) (.f64 #s(literal -1/4 binary64) (.f64 D D)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(fma.f64 (.f64 M (.f64 (/.f64 h (.f64 (.f64 d d) l)) M)) (.f64 #s(literal -1/4 binary64) (.f64 D D)) #s(literal 1 binary64))
(.f64 (.f64 M M) #s(literal -1/4 binary64))
(.f64 #s(literal -1/4 binary64) (.f64 M M))
(*.f64 M M)
M
#s(literal -1/4 binary64)
(.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l)))
(.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) D) D)
(*.f64 D D)
D
(/.f64 h (.f64 (.f64 d d) l))
h
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 (/.f64 h (.f64 (.f64 d d) l)) M)) (.f64 #s(literal -1/4 binary64) (*.f64 D D))))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 (/.f64 h (.f64 (.f64 d d) l)) M)) (.f64 #s(literal -1/4 binary64) (*.f64 D D)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 (/.f64 h (.f64 (.f64 d d) l)) M)) (.f64 #s(literal -1/4 binary64) (*.f64 D D))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d))
(.f64 (.f64 M (.f64 (/.f64 h (.f64 (.f64 d d) l)) M)) (.f64 #s(literal -1/4 binary64) (*.f64 D D)))
(.f64 (.f64 (.f64 (.f64 (*.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l))
(.f64 (.f64 (.f64 (/.f64 h l) M) #s(literal -1/4 binary64)) (.f64 (*.f64 M D) D))
(.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M)
(.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M)
(.f64 (.f64 (*.f64 D D) #s(literal -1/4 binary64)) M)
(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M)
(.f64 (.f64 D D) #s(literal -1/4 binary64))
(.f64 #s(literal -1/4 binary64) (.f64 D D))
(*.f64 D D)
D
#s(literal -1/4 binary64)
M
(/.f64 h l)
h
l
(*.f64 d d)
d
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 d l)) (.f64 (.f64 M D) h))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 d l)) (.f64 (.f64 M D) h))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))
(fma.f64 #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 d l)) (.f64 (.f64 M D) h))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d)
(.f64 (.f64 D M) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 M D))
(*.f64 D M)
(*.f64 M D)
D
M
#s(literal -1/2 binary64)
d
#s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d)))
#s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 d l)) (.f64 (.f64 M D) h)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 d l)) (.f64 (.f64 M D) h))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 h M) D))
(.f64 (.f64 (*.f64 M D) h) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 (.f64 h M) D)
(.f64 (.f64 M D) h)
(*.f64 h M)
(*.f64 M h)
h
(*.f64 l d)
(*.f64 d l)
l
#s(literal 1 binary64)

localize210.0ms (1.3%)

Memory

-6.4MiB live, 403.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.510566614761536	(.f64 (.f64 h M) D)
accuracy	5.16367639074618	(/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)
accuracy	6.707788810989373	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64)))
accuracy	7.045576948894576	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))
accuracy	7.603029363215826	(.f64 (.f64 (.f64 (.f64 (*.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l))
accuracy	8.26883735973725	(.f64 (.f64 (*.f64 D D) #s(literal -1/4 binary64)) M)
accuracy	13.392625711298717	(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d))
accuracy	39.42978144594645	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))
accuracy	6.58558300398673	(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
accuracy	6.707788810989373	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
accuracy	8.159505602972885	(.f64 (.f64 d d) l)
accuracy	17.48958939290228	(.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l)))
accuracy	9.071356648028917	(.f64 h (.f64 M M))
accuracy	10.064304683305778	(/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d)))
accuracy	12.163165086291185	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
accuracy	14.165094266933513	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0)
accuracy	2.8609656156878045	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
accuracy	5.2574132949400045	(/.f64 (.f64 h M) (.f64 (neg.f64 l) d))
accuracy	6.707788810989373	(sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))
accuracy	7.124836857756004	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)

Samples

131.0ms

256×

valid

Compiler

Compiled 581 to 70 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 65.0ms (67.8% of total)

ival-div: 16.0ms (16.7% of total)

ival-sqrt: 5.0ms (5.2% of total)

ival-add: 4.0ms (4.2% of total)

ival-pow2: 2.0ms (2.1% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series163.0ms (1%)

Memory

-12.8MiB live, 298.0MiB allocated

Counts

30 → 1 560

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (.f64 d d))) w0)) (patch #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (.f64 d d))) w0) (patch (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (.f64 d d))) w0) #<representation binary64>) () ())
#s(alt (.f64 (.f64 D D) #s(literal -1/8 binary64)) (patch (.f64 (.f64 D D) #s(literal -1/8 binary64)) #<representation binary64>) () ())
#s(alt (.f64 D D) (patch (.f64 D D) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))) (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)) (patch (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d))))) (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d))) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (patch (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (.f64 d d))) (patch (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (.f64 d d))) #<representation binary64>) () ())
#s(alt (.f64 h (.f64 M M)) (patch (.f64 h (.f64 M M)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) (patch (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 d d) l) (patch (.f64 (.f64 d d) l) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (patch (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (patch (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d)) (patch (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 h M) D) (patch (.f64 (.f64 h M) D) #<representation binary64>) () ())

Outputs
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 h) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 h) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 h) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 h) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf h) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf h) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf h) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf h) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf h) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf h) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf h) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf h) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 M) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 M) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 M) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 M) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf M) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf M) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf M) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf M) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf M) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf M) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf M) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf M) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 l) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 l) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 l) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 l) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf l) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf l) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf l) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf l) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf l) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf l) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf l) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf l) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 d) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 d) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 d) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 d) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf d) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf d) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf d) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf d) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())) ())
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#s(alt (* D (* M h)) (taylor inf D) (#s(alt (.f64 (.f64 h M) D) (patch (.f64 (.f64 h M) D) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf D) (#s(alt (.f64 (.f64 h M) D) (patch (.f64 (.f64 h M) D) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf D) (#s(alt (.f64 (.f64 h M) D) (patch (.f64 (.f64 h M) D) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf D) (#s(alt (.f64 (.f64 h M) D) (patch (.f64 (.f64 h M) D) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf D) (#s(alt (.f64 (.f64 h M) D) (patch (.f64 (.f64 h M) D) #<representation binary64>) () ())) ())

Calls

390 calls:

Time	Variable		Point	Expression
16.0ms	h	@	inf	(/ (* (* (* (* (* D D) -1/4) M) M) (/ h l)) (* d d))
3.0ms	D	@	inf	(* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D))
2.0ms	h	@	0	(* (* h M) D)
1.0ms	l	@	-inf	(/ (* (* h (* M M)) w0) (* l (* d d)))
1.0ms	h	@	0	(* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D))

simplify276.0ms (1.7%)

Memory

39.3MiB live, 473.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 572×	`lower-*.f64`
8 572×	`lower-*.f32`
6 640×	`lower-fma.f64`
6 640×	`lower-fma.f32`
4 702×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	684	37063
1	2366	36871
0	8563	35794

Stop Event

1×	iter limit
1×	node limit

Counts

1 560 → 1 518

Calls

Call 1

Inputs
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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1
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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1
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1
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1
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1
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(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
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1
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1
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1
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
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(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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1
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
1
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(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
1
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1
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1
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(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
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1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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1
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(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))

Outputs
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(.f64 (neg.f64 h) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) (/.f64 #s(literal -1 binary64) h)))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(.f64 (neg.f64 h) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) (/.f64 #s(literal -1 binary64) h)))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(.f64 (neg.f64 h) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) (/.f64 #s(literal -1 binary64) h)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d)))))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) l) #s(literal -1/4 binary64))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 M (/.f64 h (.f64 l d))))
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)
(* D (* M h))
(.f64 (.f64 h M) D)

rewrite400.0ms (2.5%)

Memory

-16.1MiB live, 379.3MiB allocated

Rules

4 798×	`lower-*.f32`
4 740×	`lower-*.f64`
4 186×	`lower-/.f32`
4 170×	`lower-/.f64`
3 598×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	586
0	126	586
1	408	586
2	2739	568
0	8639	564

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

30 → 756

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0)
(.f64 (.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(/.f64 (.f64 h M) (.f64 (neg.f64 l) d))
(/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d)))
(.f64 h (.f64 M M))
(.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l)))
(.f64 (.f64 d d) l)
(.f64 (.f64 (*.f64 D D) #s(literal -1/4 binary64)) M)
(.f64 (.f64 (.f64 (.f64 (*.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))
(.f64 (.f64 h M) D)

Outputs
(.f64 (.f64 (.f64 D (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (/.f64 h (neg.f64 l))) (/.f64 M d))
(.f64 (.f64 (.f64 D (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) h) (/.f64 M (*.f64 d (neg.f64 l))))
(.f64 (.f64 (.f64 (/.f64 M (.f64 d (neg.f64 l))) h) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
(.f64 (.f64 (.f64 (/.f64 M (.f64 d (neg.f64 l))) h) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M))
(.f64 (/.f64 (.f64 M h) d) (/.f64 (.f64 D (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (neg.f64 l)))
(.f64 (/.f64 h (neg.f64 l)) (.f64 (/.f64 M d) (.f64 D (.f64 (/.f64 #s(literal 1/2 binary64) d) M))))
(.f64 (.f64 M (/.f64 h (neg.f64 l))) (/.f64 (.f64 D (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) d))
(.f64 (.f64 (.f64 (.f64 D M) h) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (/.f64 #s(literal -1 binary64) (.f64 d l)))
(.f64 (/.f64 (.f64 (.f64 (neg.f64 M) h) (.f64 #s(literal 1/2 binary64) M)) (.f64 (.f64 d d) l)) D)
(.f64 (.f64 D (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (.f64 (/.f64 M (*.f64 d (neg.f64 l))) h))
(.f64 D (/.f64 (.f64 (.f64 (neg.f64 M) h) (.f64 #s(literal 1/2 binary64) M)) (.f64 (.f64 d d) l)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) (.f64 D (.f64 (/.f64 M (*.f64 d (neg.f64 l))) h)))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 (.f64 D M) (.f64 (/.f64 M (*.f64 d (neg.f64 l))) h)))
(.f64 (.f64 (/.f64 M (.f64 d (neg.f64 l))) h) (.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)))
(.f64 (.f64 M h) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) d) (*.f64 d l)))
(.f64 (.f64 M h) (.f64 (/.f64 #s(literal -1 binary64) (.f64 d l)) (.f64 D (.f64 (/.f64 #s(literal 1/2 binary64) d) M))))
(.f64 h (.f64 (/.f64 M (.f64 d (neg.f64 l))) (.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 d (.f64 D M))) (.f64 (neg.f64 l) (/.f64 d (*.f64 M h)))) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (.f64 (.f64 d l) (/.f64 d (.f64 (.f64 (*.f64 M M) h) w0))))
(neg.f64 (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (*.f64 d (neg.f64 l)) d)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 d (neg.f64 l)) d)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (*.f64 d (neg.f64 l)) d)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 d l) (/.f64 d (.f64 (.f64 (.f64 M M) h) w0)))) #s(literal -1 binary64)))
(.f64 (.f64 M M) h)
(.f64 (.f64 M h) M)
(.f64 M (.f64 M h))
(.f64 h (.f64 M M))
(.f64 (/.f64 (.f64 D D) (*.f64 d l)) (/.f64 h d))
(.f64 (/.f64 (.f64 D D) (*.f64 d d)) (/.f64 h l))
(.f64 (/.f64 (.f64 D D) d) (/.f64 h (*.f64 d l)))
(.f64 (/.f64 (.f64 D D) l) (/.f64 h (*.f64 d d)))
(.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 d d) l)))
(.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) D) D)
(.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 D D))
(.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l)))
(.f64 D (.f64 (/.f64 h (.f64 (.f64 d d) l)) D))
(.f64 h (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) l)) (*.f64 D D)))
(pow.f64 (/.f64 (.f64 (.f64 d d) l) (.f64 (.f64 D D) h)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 D D) h) (*.f64 d l))) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 D D) h) (*.f64 d d))) (neg.f64 l))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 D D) h) d)) (*.f64 d (neg.f64 l)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 D D) h) l)) (*.f64 (neg.f64 d) d))
(/.f64 (neg.f64 (.f64 (/.f64 h (.f64 d d)) (*.f64 D D))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (neg.f64 h) (.f64 D D))) (neg.f64 (.f64 (.f64 d (neg.f64 l)) d)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 D D))) (neg.f64 (/.f64 (.f64 (.f64 d d) l) h)))
(/.f64 (neg.f64 (.f64 (.f64 D D) (/.f64 h (*.f64 d d)))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (.f64 D D) (neg.f64 h))) (neg.f64 (.f64 (.f64 d (neg.f64 l)) d)))
(/.f64 (neg.f64 (.f64 (.f64 D D) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 d d) l) h)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 D D) h))) (neg.f64 (.f64 (.f64 d (neg.f64 l)) d)))
(/.f64 (neg.f64 (.f64 D D)) (neg.f64 (/.f64 (.f64 (*.f64 d d) l) h)))
(/.f64 (/.f64 (.f64 (.f64 D D) h) (*.f64 d l)) d)
(/.f64 (/.f64 (.f64 (.f64 D D) h) (*.f64 d d)) l)
(/.f64 (/.f64 (.f64 (.f64 D D) h) d) (*.f64 d l))
(/.f64 (/.f64 (.f64 (.f64 D D) h) l) (*.f64 d d))
(/.f64 (.f64 (/.f64 h (.f64 d d)) (*.f64 D D)) l)
(/.f64 (.f64 (neg.f64 h) (.f64 D D)) (.f64 (.f64 d (neg.f64 l)) d))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 d d) l) h))
(/.f64 (.f64 (.f64 D D) (/.f64 h (*.f64 d d))) l)
(/.f64 (.f64 (.f64 D D) (neg.f64 h)) (.f64 (.f64 d (neg.f64 l)) d))
(/.f64 (.f64 (.f64 D D) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 d d) l) h))
(/.f64 (neg.f64 (.f64 (.f64 D D) h)) (.f64 (.f64 d (neg.f64 l)) d))
(/.f64 (.f64 (.f64 D D) h) (.f64 (.f64 d d) l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 d d) l) (.f64 (.f64 D D) h))))
(/.f64 (.f64 D D) (/.f64 (.f64 (*.f64 d d) l) h))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 d d) l) (.f64 (.f64 D D) h)))
(.f64 (.f64 d l) d)
(.f64 (.f64 d d) l)
(.f64 d (.f64 d l))
(.f64 l (.f64 d d))
(.f64 (.f64 M (*.f64 D D)) #s(literal -1/4 binary64))
(.f64 (.f64 #s(literal -1/4 binary64) M) (*.f64 D D))
(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M)
(.f64 #s(literal -1/4 binary64) (.f64 (*.f64 D D) M))
(.f64 (.f64 D D) (*.f64 #s(literal -1/4 binary64) M))
(.f64 (.f64 D M) (*.f64 #s(literal -1/4 binary64) D))
(.f64 D (.f64 (*.f64 #s(literal -1/4 binary64) D) M))
(.f64 D (.f64 D (*.f64 #s(literal -1/4 binary64) M)))
(.f64 M (.f64 #s(literal -1/4 binary64) (*.f64 D D)))
(.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M)) M)
(.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/4 binary64) (.f64 D D))) (*.f64 M M))
(.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) h) (/.f64 #s(literal 1 binary64) l))
(.f64 (.f64 (/.f64 h l) M) (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M))
(.f64 (/.f64 h l) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M))
(.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) (/.f64 h l))
(.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) (*.f64 (/.f64 h l) M))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 M (*.f64 (/.f64 h l) M)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 (*.f64 M M) h) l))
(.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/4 binary64) M) (*.f64 (/.f64 h l) M)))
(.f64 M (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (/.f64 h l)))
(.f64 M (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (*.f64 (/.f64 h l) M)))
(.f64 h (.f64 (/.f64 #s(literal 1 binary64) l) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M)))
(pow.f64 (/.f64 l (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 h) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M))) (neg.f64 (/.f64 l h)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) (neg.f64 h))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) #s(literal 1 binary64))) (neg.f64 (/.f64 l h)))
(/.f64 (.f64 (neg.f64 h) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M)) (neg.f64 l))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M)) (/.f64 l h))
(/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) (neg.f64 h)) (neg.f64 l))
(/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) #s(literal 1 binary64)) (/.f64 l h))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M)) (neg.f64 (/.f64 l h)))
(/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h))))
(/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) (/.f64 l h))
(/.f64 #s(literal 1 binary64) (/.f64 l (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)))
(.f64 (pow.f64 (/.f64 d (.f64 #s(literal 1/2 binary64) (*.f64 M h))) #s(literal -1 binary64)) (pow.f64 (/.f64 l D) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 l (.f64 #s(literal 1/2 binary64) (*.f64 M h))) #s(literal -1 binary64)) (/.f64 D d))
(.f64 (pow.f64 (/.f64 l (.f64 (*.f64 D M) h)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 M h)) d) (/.f64 D l))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 M h)) l) (/.f64 D d))
(.f64 (/.f64 (.f64 (*.f64 D M) h) l) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (.f64 (.f64 M h) (/.f64 D (.f64 d l))) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 (.f64 (.f64 D M) h) #s(literal 1/2 binary64)) l) (/.f64 #s(literal 1 binary64) d))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 M h)) (/.f64 D (.f64 d l)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 M h)) (.f64 D (/.f64 #s(literal 1 binary64) (*.f64 d l))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d l)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 D M) h) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d l)) (.f64 (.f64 (*.f64 D M) h) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) l) (pow.f64 (/.f64 d (.f64 (.f64 (.f64 D M) h) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 (.f64 (.f64 D M) h) #s(literal 1/2 binary64)) l))
(.f64 (/.f64 (.f64 (*.f64 D M) h) d) (/.f64 #s(literal 1/2 binary64) l))
(.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 (.f64 (*.f64 D M) h) d))
(.f64 (.f64 (.f64 (.f64 D M) h) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 d l)))
(.f64 (.f64 (.f64 (.f64 D M) h) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 d l)))
(.f64 (.f64 (.f64 D M) h) (/.f64 #s(literal 1/2 binary64) (.f64 d l)))
(.f64 (.f64 (.f64 D M) h) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 d l))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M h)) (/.f64 D (*.f64 d l))))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (/.f64 l (.f64 (*.f64 D M) h)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (.f64 (*.f64 D M) h) l))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 M h) (/.f64 D (.f64 d l))))
(pow.f64 (/.f64 d (/.f64 (.f64 (.f64 (*.f64 D M) h) #s(literal 1/2 binary64)) l)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 l (.f64 (.f64 D M) h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 l (.f64 (.f64 D M) h)) (.f64 #s(literal 2 binary64) d)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (*.f64 D M) h) #s(literal -1/2 binary64)) d)) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (*.f64 D M) h) #s(literal 1/2 binary64)) d)) (neg.f64 l))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (*.f64 D M) h) d))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) l) (.f64 (*.f64 D M) h))) (neg.f64 d))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 D M) h) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 d (neg.f64 l)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (.f64 (*.f64 D M) h) #s(literal 1/2 binary64)) l))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 D M) h) #s(literal -1/2 binary64)))) (.f64 d (neg.f64 l)))
(/.f64 (/.f64 (.f64 (.f64 (*.f64 D M) h) #s(literal -1/2 binary64)) d) (neg.f64 l))
(/.f64 (/.f64 (.f64 (.f64 (*.f64 D M) h) #s(literal 1/2 binary64)) d) l)
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (*.f64 D M) h) d)) l)
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) l) (.f64 (*.f64 D M) h)) d)
(/.f64 (.f64 (.f64 (.f64 (.f64 D M) h) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d l))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (*.f64 D M) h) #s(literal 1/2 binary64)) l)) (neg.f64 d))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 D M) h) #s(literal -1/2 binary64))) (.f64 d l))
(/.f64 (/.f64 (.f64 (.f64 (*.f64 D M) h) #s(literal 1/2 binary64)) l) d)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (/.f64 (.f64 (.f64 (*.f64 D M) h) #s(literal 1/2 binary64)) l))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (/.f64 l (.f64 (.f64 D M) h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 l (.f64 (.f64 D M) h)) (.f64 #s(literal 2 binary64) d))))
(/.f64 (.f64 (.f64 (.f64 D M) h) #s(literal -1/2 binary64)) (.f64 d (neg.f64 l)))
(/.f64 (.f64 (.f64 (.f64 D M) h) #s(literal 1/2 binary64)) (.f64 d l))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (/.f64 l (.f64 (.f64 D M) h)) (.f64 #s(literal 2 binary64) d)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (.f64 (.f64 (*.f64 D M) h) #s(literal 1/2 binary64)) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 l (.f64 (.f64 D M) h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 l (.f64 (.f64 D M) h)) (.f64 #s(literal 2 binary64) d)))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 D M) h) #s(literal -1/2 binary64)) (.f64 d l)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 d (neg.f64 l))) (/.f64 (.f64 (.f64 (.f64 D M) h) #s(literal -1/2 binary64)) (*.f64 d l)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 l (.f64 (.f64 D M) h)) (*.f64 #s(literal 2 binary64) d))) #s(literal -1 binary64)))
(.f64 (.f64 D h) M)
(.f64 (.f64 D M) h)
(.f64 D (.f64 M h))
(.f64 (.f64 M h) D)
(.f64 M (.f64 D h))
(.f64 h (.f64 D M))

eval291.0ms (1.8%)

Memory: 14.7MiB live, 628.9MiB allocated
Compiler: Compiled 73 617 to 3 917 computations (94.7% saved)

prune762.0ms (4.7%)

Memory

-16.5MiB live, 1 244.2MiB allocated

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	2 289	21	2 310
Fresh	6	11	17
Picked	4	1	5
Done	0	1	1
Total	2 299	34	2 333

Accuracy

89.6%

Counts

2 333 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 3 binary64)))) w0) (sqrt.f64 (fma.f64 (fma.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) #s(literal 1 binary64)) (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 1 binary64))))
	74.8%	(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (neg.f64 M) h) (.f64 #s(literal 1/2 binary64) M)) (.f64 (.f64 d d) l))) D #s(literal 1 binary64))) w0)
▶	75.1%	(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
▶	83.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
▶	75.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))))
	82.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 D M) h) #s(literal -1/2 binary64)) (.f64 d l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) D #s(literal 1 binary64))))
	75.4%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (*.f64 M D)) (neg.f64 h) #s(literal 1 binary64))))
	78.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
	73.8%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 M (/.f64 #s(literal 1/4 binary64) (.f64 d d))) D) (/.f64 (.f64 M D) l)) (neg.f64 h) #s(literal 1 binary64))))
	78.8%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 D (/.f64 #s(literal -1/2 binary64) d))) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
	83.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) M) d)) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
	72.0%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) #s(approx (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D)) (/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
	61.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (*.f64 d l)) #s(literal 1 binary64)))))
	54.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 D D) (neg.f64 h)) (.f64 (.f64 d (neg.f64 l)) d)) #s(literal 1 binary64)))))
✓	54.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
	20.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) d) (/.f64 h l)) d))))
	18.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (neg.f64 h)) (.f64 (*.f64 l d) (neg.f64 d))))))
	19.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (.f64 d l))))))
	17.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M)))))
	19.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D))))
	16.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 l d) d)))))))
✓	64.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	51.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 D D))) w0))
▶	57.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
	58.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 d l)) w0))
	69.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
	51.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
	61.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 w0 (/.f64 (.f64 (*.f64 M M) h) l)) d) d) w0))
	54.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 l (*.f64 d d))) w0))
	56.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (.f64 (*.f64 d (neg.f64 l)) d)) w0))
	58.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M M) w0) d)) w0))
	56.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d (neg.f64 l)) d))) w0))
	55.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (*.f64 d d) l)))) w0))
▶	14.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))

Compiler

Compiled 1 912 to 1 174 computations (38.6% saved)

simplify113.0ms (0.7%)

Memory

30.1MiB live, 142.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))))
cost-diff	384	(/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))) l)
cost-diff	0	(.f64 (neg.f64 h) (.f64 M D))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
cost-diff	128	(fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(literal -1/8 binary64) (.f64 D D))
cost-diff	0	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (*.f64 d l))
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
cost-diff	384	(fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0)
cost-diff	0	(.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64))
cost-diff	0	(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))
cost-diff	0	#s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d))))
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
cost-diff	384	(/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D))))
cost-diff	384	(/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l)

Rules

6 976×	`lower-*.f32`
6 926×	`lower-*.f64`
4 296×	`lower-/.f32`
4 280×	`lower-/.f64`
1 922×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	642
0	123	642
1	291	640
2	1107	640
3	5142	640
0	8066	631

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))
(/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l)
(/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D))))
(*.f64 M D)
M
D
(.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))
(*.f64 #s(literal 4 binary64) d)
#s(literal 4 binary64)
d
(/.f64 d (*.f64 M D))
l
(neg.f64 h)
h
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))
(.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64))
(.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) w0)
(.f64 (.f64 (.f64 h (.f64 M M)) D) D)
(.f64 (.f64 h (*.f64 M M)) D)
(.f64 h (.f64 M M))
h
(*.f64 M M)
M
D
w0
#s(literal -1/8 binary64)
(.f64 l (.f64 d d))
l
(*.f64 d d)
d
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
(fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0)
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (*.f64 d l))
(.f64 #s(literal -1/8 binary64) (.f64 D D))
#s(literal -1/8 binary64)
(*.f64 D D)
D
(*.f64 d l)
d
l
(/.f64 (.f64 (.f64 (*.f64 M M) h) w0) d)
(.f64 (.f64 (*.f64 M M) h) w0)
(.f64 (.f64 M M) h)
(*.f64 M M)
M
h
w0
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))
(fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(.f64 (neg.f64 h) (.f64 M D))
(neg.f64 h)
h
(*.f64 M D)
M
D
(/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l))
(.f64 (.f64 M D) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
#s(literal 1 binary64)
w0
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))) l)
(.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d)))))
(*.f64 D M)
D
M
(.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))
(/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d)))
(.f64 #s(literal 4 binary64) (.f64 d d))
#s(literal 4 binary64)
(*.f64 d d)
d
l
(neg.f64 h)
h
#s(literal 1 binary64)

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 h) (.f64 (/.f64 D (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) (.f64 (*.f64 M M) D)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (neg.f64 h) (.f64 (/.f64 D (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) (.f64 (.f64 M M) D)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))
(fma.f64 (neg.f64 h) (.f64 (/.f64 D (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) (.f64 (.f64 M M) D)) #s(literal 1 binary64))
(/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l)
(.f64 (/.f64 D (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) (.f64 (.f64 M M) D))
(/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D))))
(.f64 (.f64 (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M) D) M)
(*.f64 M D)
(*.f64 D M)
M
D
(.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 D M)) (*.f64 d d))
(*.f64 #s(literal 4 binary64) d)
(*.f64 d #s(literal 4 binary64))
#s(literal 4 binary64)
d
(/.f64 d (*.f64 M D))
(/.f64 d (*.f64 D M))
l
(neg.f64 h)
h
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l)) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) D))))
#s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d))))
#s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l)) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))
(.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l)) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) D))
(.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64))
(.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) D) D) w0)
(.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) D) D) w0)
(.f64 (.f64 (.f64 h (.f64 M M)) D) D)
(.f64 (.f64 (.f64 (.f64 M M) h) D) D)
(.f64 (.f64 h (*.f64 M M)) D)
(.f64 (.f64 (*.f64 M M) h) D)
(.f64 h (.f64 M M))
(.f64 (.f64 M M) h)
h
(*.f64 M M)
M
D
w0
#s(literal -1/8 binary64)
(.f64 l (.f64 d d))
(.f64 (.f64 d d) l)
l
(*.f64 d d)
d
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l)) w0) (.f64 (.f64 (.f64 (*.f64 M M) h) D) D) w0))
(fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0)
(fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l)) w0) (.f64 (.f64 (.f64 (*.f64 M M) h) D) D) w0)
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (*.f64 d l))
(.f64 (/.f64 D (.f64 l d)) (*.f64 #s(literal -1/8 binary64) D))
(.f64 #s(literal -1/8 binary64) (.f64 D D))
(.f64 (.f64 D D) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 D D)
D
(*.f64 d l)
(*.f64 l d)
d
l
(/.f64 (.f64 (.f64 (*.f64 M M) h) w0) d)
(.f64 (.f64 (/.f64 w0 d) M) (*.f64 h M))
(.f64 (.f64 (*.f64 M M) h) w0)
(.f64 (.f64 (*.f64 h w0) M) M)
(.f64 (.f64 M M) h)
(*.f64 M M)
M
h
w0
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (/.f64 M (.f64 (.f64 d d) l)))) (*.f64 D M)) h #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (/.f64 M (.f64 (.f64 d d) l)))) (.f64 D M)) h #s(literal 1 binary64)))
(fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (/.f64 M (.f64 (.f64 d d) l)))) (.f64 D M)) h #s(literal 1 binary64))
(.f64 (neg.f64 h) (.f64 M D))
(.f64 (neg.f64 D) (.f64 h M))
(neg.f64 h)
h
(*.f64 M D)
(*.f64 D M)
M
D
(/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l))
(.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) M) D)
(.f64 (.f64 M D) #s(literal 1/4 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 D M))
#s(literal 1/4 binary64)
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
#s(literal 1 binary64)
w0
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 h) (.f64 (/.f64 D (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) (.f64 (*.f64 M M) D)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (neg.f64 h) (.f64 (/.f64 D (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) (.f64 (.f64 M M) D)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))
(fma.f64 (neg.f64 h) (.f64 (/.f64 D (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) (.f64 (.f64 M M) D)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))) l)
(.f64 (/.f64 D (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) (.f64 (.f64 M M) D))
(.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d)))))
(.f64 (.f64 (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M) D) M)
(*.f64 D M)
D
M
(.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))
(.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M)
(/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d)))
(/.f64 D (.f64 (.f64 d d) #s(literal 4 binary64)))
(.f64 #s(literal 4 binary64) (.f64 d d))
(.f64 (.f64 d d) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 d d)
d
l
(neg.f64 h)
h
#s(literal 1 binary64)

localize280.0ms (1.7%)

Memory

-14.7MiB live, 297.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.037928086606386	(.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d)))))
accuracy	4.578570053744773	(.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))
accuracy	6.707788810989373	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64)))
accuracy	8.845667291207116	(/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d)))
accuracy	4.1717632834709955	(.f64 (neg.f64 h) (.f64 M D))
accuracy	6.707788810989373	(sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))
accuracy	8.131309068575137	(/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l))
accuracy	8.159505602972885	(.f64 (.f64 d d) l)
accuracy	7.090728033925048	(fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0)
accuracy	9.071356648028917	(.f64 (.f64 M M) h)
accuracy	12.163165086291185	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
accuracy	14.179604012786893	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (*.f64 d l))
accuracy	9.071356648028917	(.f64 h (.f64 M M))
accuracy	10.942209358546945	(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))
accuracy	12.163165086291185	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
accuracy	39.312486216121286	#s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d))))
accuracy	3.579023425452706	(/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D))))
accuracy	4.01766916359461	(/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l)
accuracy	5.01861826219172	(/.f64 d (*.f64 M D))
accuracy	6.707788810989373	(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))

Samples

180.0ms

256×

valid

Compiler

Compiled 571 to 73 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 51.0ms (54.6% of total)

ival-div: 24.0ms (25.7% of total)

ival-sqrt: 7.0ms (7.5% of total)

ival-add: 5.0ms (5.4% of total)

ival-pow2: 2.0ms (2.1% of total)

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series121.0ms (0.7%)

Memory

-0.1MiB live, 235.7MiB allocated

Counts

28 → 1 392

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) (patch (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d))))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))) (patch #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d))) (patch (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (patch (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0) (patch (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (patch (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/8 binary64) (.f64 D D)) (patch (.f64 #s(literal -1/8 binary64) (.f64 D D)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))) w0) (patch (.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))) w0) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 h) (.f64 M D)) (patch (.f64 (neg.f64 h) (.f64 M D)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (patch (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 d (.f64 M D)) (patch (/.f64 d (.f64 M D)) #<representation binary64>) () ())
#s(alt (.f64 h (.f64 M M)) (patch (.f64 h (.f64 M M)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 M M) h) (patch (.f64 (.f64 M M) h) #<representation binary64>) () ())
#s(alt (.f64 (.f64 d d) l) (patch (.f64 (.f64 d d) l) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (patch (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #<representation binary64>) () ())
#s(alt (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))) (patch (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))) #<representation binary64>) () ())
#s(alt (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d)))) (patch (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())

Outputs
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf D) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf D) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 d) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 d) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 d) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 d) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf d) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf d) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf d) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf d) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf d) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf d) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf d) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf d) (#s(alt (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) (patch (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) #<representation binary64>) () ())) ())

Calls

348 calls:

Time	Variable		Point	Expression
2.0ms	M	@	0	(/ (* (* M D) 1/4) (* (* d d) l))
2.0ms	h	@	-inf	(+ (* (/ (* -1/8 (* D D)) (* d l)) (/ (* (* (* M M) h) w0) d)) w0)
1.0ms	l	@	0	(/ (* (* M D) 1/4) (* (* d d) l))
1.0ms	l	@	inf	(/ (* (* M D) 1/4) (* (* d d) l))
1.0ms	D	@	0	(/ (* (* M D) 1/4) (* (* d d) l))

simplify545.0ms (3.4%)

Memory

-60.3MiB live, 432.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 382×	`lower-*.f64`
8 382×	`lower-*.f32`
7 000×	`lower-fma.f64`
7 000×	`lower-fma.f32`
4 562×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	671	33456
1	2314	33344
0	8358	32415

Stop Event

1×	iter limit
1×	node limit

Counts

1 392 → 1 343

Calls

Call 1

Inputs
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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w0
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w0
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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w0
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(* -1 (* D (* M h)))
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(* -1 (* D (* M h)))
(* -1 (* D (* M h)))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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1
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Outputs
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
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(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 l (.f64 d d))))
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(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 l (.f64 d d))))
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(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 l (.f64 d d))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 M M) D) D) (/.f64 h (.f64 l (*.f64 d d)))) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
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(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (neg.f64 M) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 d d) d) w0)) (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (.f64 D D) D))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 w0 d)) (.f64 (.f64 (.f64 M D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 M M) D) D) (/.f64 h (.f64 l (*.f64 d d)))) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 D D) (pow.f64 M #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 (.f64 (pow.f64 d #s(literal 4 binary64)) l) l))) #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))) (.f64 D D) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 M #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 (.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (/.f64 (.f64 (.f64 #s(literal -1/1024 binary64) (.f64 D D)) (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) w0) (.f64 (.f64 h h) h))) (.f64 (.f64 (pow.f64 d #s(literal 6 binary64)) l) (.f64 l l)))) (.f64 D D) (/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))) (*.f64 D D) w0)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 w0 d)) (.f64 (.f64 (.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 d d) d) w0)) (.f64 (.f64 (.f64 (.f64 (.f64 M M) M) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 w0 d)) (.f64 (.f64 (.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 d d) d) w0)) (.f64 (.f64 (.f64 (.f64 (.f64 M M) M) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 w0 d)) (.f64 (.f64 (.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(.f64 (.f64 (neg.f64 D) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d)) (sqrt.f64 (/.f64 h l)))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* (pow d 2) l)
(.f64 l (.f64 d d))
(* (pow d 2) l)
(.f64 l (.f64 d d))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ (* D M) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ D (pow d 2)))
(.f64 (/.f64 D (.f64 d d)) #s(literal 1/4 binary64))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (*.f64 d d)))

rewrite198.0ms (1.2%)

Memory

-33.0MiB live, 296.1MiB allocated

Rules

5 550×	`lower-*.f32`
5 500×	`lower-*.f64`
3 644×	`lower-/.f32`
3 628×	`lower-/.f64`
2 396×	`lower-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	479
0	123	477
1	457	477
2	3380	445
0	8460	445

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

28 → 768

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l)
(/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))
(.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64))
(fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (*.f64 d l))
(.f64 #s(literal -1/8 binary64) (.f64 D D))
(fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))
(.f64 (neg.f64 h) (.f64 M D))
(/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))) l)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))
(/.f64 d (*.f64 M D))
(.f64 h (.f64 M M))
(.f64 (.f64 M M) h)
(.f64 (.f64 d d) l)
(/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l))
(/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d)))
(.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d))))
(.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d)))))

Outputs
(.f64 (pow.f64 (/.f64 l (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64))))) #s(literal -1 binary64)) (.f64 M (/.f64 D d)))
(.f64 (pow.f64 (/.f64 l (.f64 (neg.f64 M) D)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (.f64 (/.f64 d (*.f64 D M)) d))))
(.f64 (pow.f64 (/.f64 l (.f64 D M)) #s(literal -1 binary64)) (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M))
(.f64 (.f64 (.f64 D M) (.f64 D (/.f64 M (*.f64 d d)))) (/.f64 #s(literal 1/4 binary64) l))
(.f64 (.f64 (.f64 D M) (.f64 #s(literal 1/4 binary64) (.f64 D M))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 d d) l)))
(.f64 (/.f64 D l) (/.f64 M (.f64 (.f64 (/.f64 d (.f64 D M)) #s(literal 4 binary64)) d)))
(.f64 (/.f64 M l) (.f64 D (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M)))
(.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)))
(.f64 (.f64 (.f64 M M) D) (/.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) l))
(.f64 (.f64 (.f64 M M) D) (.f64 (/.f64 D (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) l)))
(.f64 (/.f64 #s(literal 1 binary64) l) (.f64 (.f64 (.f64 (.f64 M M) D) D) (/.f64 #s(literal 1/4 binary64) (.f64 d d))))
(.f64 (/.f64 M (.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (/.f64 D d) (.f64 D M)) l))
(.f64 (/.f64 M (.f64 d #s(literal 4 binary64))) (.f64 (.f64 (/.f64 D d) (*.f64 D M)) (/.f64 #s(literal 1 binary64) l)))
(.f64 (.f64 (neg.f64 M) (.f64 D (.f64 (/.f64 D (.f64 (.f64 d d) #s(literal 4 binary64))) M))) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (/.f64 #s(literal 1/4 binary64) (.f64 d d))) (/.f64 #s(literal 1 binary64) l))
(.f64 (.f64 (/.f64 D (.f64 (.f64 d d) #s(literal 4 binary64))) M) (.f64 (.f64 D M) (/.f64 #s(literal 1 binary64) l)))
(.f64 (.f64 (/.f64 D (.f64 (.f64 d d) #s(literal 4 binary64))) M) (/.f64 (*.f64 D M) l))
(.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) (.f64 D M)) (.f64 D M))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) (.f64 D M)) (*.f64 D M)))
(.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) (.f64 D M)))
(.f64 D (/.f64 (.f64 (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M) M) l))
(.f64 D (/.f64 M (.f64 (.f64 l (/.f64 d (.f64 D M))) (*.f64 d #s(literal 4 binary64)))))
(.f64 D (.f64 M (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) (.f64 D M))))
(.f64 D (.f64 (.f64 (.f64 (/.f64 D (.f64 (.f64 d d) #s(literal 4 binary64))) M) M) (/.f64 #s(literal 1 binary64) l)))
(.f64 M (/.f64 (.f64 D (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M)) l))
(.f64 M (/.f64 D (.f64 (.f64 l (/.f64 d (.f64 D M))) (*.f64 d #s(literal 4 binary64)))))
(.f64 M (.f64 (.f64 D (.f64 (/.f64 D (.f64 (.f64 d d) #s(literal 4 binary64))) M)) (/.f64 #s(literal 1 binary64) l)))
(.f64 M (.f64 D (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) (.f64 D M))))
(pow.f64 (/.f64 (.f64 l (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 (.f64 D D) (.f64 M M)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64))) (*.f64 D M)) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 (.f64 D D) (.f64 M M))) l) #s(literal -1 binary64))
(pow.f64 (.f64 l (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 (.f64 D D) (.f64 M M)))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) l)) (/.f64 d (.f64 D M)))
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(/.f64 (.f64 (.f64 D M) (.f64 #s(literal -1/4 binary64) (.f64 D M))) (.f64 (.f64 (neg.f64 l) d) d))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (/.f64 #s(literal 1/4 binary64) (.f64 d d))) #s(literal 1 binary64)) l)
(/.f64 (.f64 (.f64 D M) (/.f64 #s(literal 1 binary64) l)) (.f64 (.f64 (/.f64 d (*.f64 D M)) #s(literal 4 binary64)) d))
(/.f64 (.f64 (.f64 D M) (.f64 #s(literal 1/4 binary64) (.f64 D M))) (.f64 (.f64 d d) l))
(/.f64 (/.f64 (.f64 D M) l) (.f64 (.f64 (/.f64 d (.f64 D M)) #s(literal 4 binary64)) d))
(/.f64 (.f64 (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 d (*.f64 D M)) l))
(/.f64 (.f64 (.f64 (neg.f64 M) D) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -4 binary64) (.f64 (/.f64 d (.f64 D M)) d)) l))
(/.f64 (.f64 (.f64 D M) #s(literal 1 binary64)) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 D M) #s(literal 1 binary64)) (.f64 (.f64 l d) (/.f64 d (.f64 #s(literal 1/4 binary64) (.f64 D M)))))
(/.f64 (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64)))) (.f64 l (/.f64 d (.f64 D M))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 l (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 (.f64 D D) (.f64 M M))))))
(/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 (.f64 D D) (*.f64 M M))))
(/.f64 (.f64 (neg.f64 M) (.f64 D (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M))) (neg.f64 l))
(/.f64 (.f64 (neg.f64 M) D) (.f64 l (.f64 #s(literal -4 binary64) (.f64 (/.f64 d (*.f64 D M)) d))))
(/.f64 (.f64 (neg.f64 M) D) (neg.f64 (.f64 (.f64 l (/.f64 d (.f64 D M))) (*.f64 d #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) (neg.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) l)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 l (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 (.f64 D D) (.f64 M M)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64))) (*.f64 D M)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 (.f64 D D) (.f64 M M))) l))
(/.f64 #s(literal 1 binary64) (.f64 l (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 (.f64 D D) (.f64 M M)))))
(/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (*.f64 d #s(literal 4 binary64))))
(/.f64 (.f64 D M) (.f64 (.f64 l d) (/.f64 d (.f64 #s(literal 1/4 binary64) (*.f64 D M)))))
(neg.f64 (/.f64 (.f64 (neg.f64 M) (.f64 D (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M))) l))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) (neg.f64 l)))
(exp.f64 (.f64 (log.f64 (.f64 l (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 (.f64 D D) (*.f64 M M))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 d (.f64 D M)) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) D) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d #s(literal 4 binary64)) D) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 d (*.f64 D M)) M) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 d (*.f64 D M)) d) D) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))) (/.f64 d M)) D)
(.f64 (/.f64 (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64)))) (neg.f64 d)) (.f64 (neg.f64 M) D))
(.f64 (/.f64 (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 M (/.f64 D d)))
(.f64 (.f64 (.f64 (.f64 M M) D) D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(.f64 (.f64 (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M) D) M)
(.f64 (.f64 (.f64 D M) (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64)))) M)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 d (.f64 D M)) (.f64 D M)) #s(literal -1 binary64)))
(.f64 (/.f64 D (.f64 d #s(literal 4 binary64))) (/.f64 M (/.f64 d (*.f64 D M))))
(.f64 (/.f64 M (/.f64 d (.f64 D M))) (/.f64 D (*.f64 d #s(literal 4 binary64))))
(.f64 (/.f64 M #s(literal 4 binary64)) (/.f64 D (.f64 (/.f64 d (*.f64 D M)) d)))
(.f64 (.f64 D (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M)) M)
(.f64 (.f64 #s(literal 1/4 binary64) D) (pow.f64 (/.f64 (.f64 (/.f64 d (.f64 D M)) d) M) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 (/.f64 d (.f64 D M)) d)))
(.f64 (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64)))) (.f64 M (/.f64 D d)))
(.f64 (.f64 (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M) M) D)
(.f64 (.f64 (.f64 M M) D) (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))))
(.f64 (.f64 M (/.f64 D d)) (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64)))))
(.f64 (.f64 (/.f64 D d) (.f64 D M)) (/.f64 M (.f64 d #s(literal 4 binary64))))
(.f64 (/.f64 M (.f64 d #s(literal 4 binary64))) (.f64 (/.f64 D d) (.f64 D M)))
(.f64 (.f64 (neg.f64 M) D) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (.f64 (/.f64 d (*.f64 D M)) d))))
(.f64 (.f64 (/.f64 D (.f64 (.f64 d d) #s(literal 4 binary64))) M) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 D M)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 D (.f64 (.f64 d d) #s(literal 4 binary64))) M) (*.f64 D M))
(.f64 (/.f64 D (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (*.f64 M M) D))
(.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 d (.f64 D M)) d) (.f64 D M)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M M) D) D) (/.f64 #s(literal 1/4 binary64) (.f64 d d))))
(.f64 (.f64 D M) (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M))
(.f64 D (/.f64 M (.f64 (.f64 (/.f64 d (.f64 D M)) #s(literal 4 binary64)) d)))
(.f64 D (.f64 (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M) M))
(.f64 M (.f64 D (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M)))
(pow.f64 (/.f64 (/.f64 d (.f64 D M)) (.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) #s(literal -1 binary64))
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(/.f64 (/.f64 (.f64 D M) (/.f64 d (.f64 D M))) (*.f64 d #s(literal 4 binary64)))
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(/.f64 (.f64 (.f64 D M) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 d (*.f64 D M)) #s(literal 4 binary64)) d))
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(/.f64 (.f64 (.f64 M M) D) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) D))
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(neg.f64 (.f64 (neg.f64 M) (.f64 D (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M))))
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(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) (.f64 D M)) (*.f64 D M)) (neg.f64 h) #s(literal 1 binary64))))
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(.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M)
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D M)) (/.f64 #s(literal 1 binary64) (.f64 d d)))
(.f64 #s(literal 1/4 binary64) (.f64 D (/.f64 M (*.f64 d d))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 D (.f64 (.f64 d d) #s(literal 4 binary64))) M))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(.f64 D (/.f64 M (.f64 (*.f64 d d) #s(literal 4 binary64))))
(.f64 D (.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) M))
(.f64 M (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))))
(pow.f64 (/.f64 (.f64 (.f64 (/.f64 d (*.f64 D M)) #s(literal 4 binary64)) d) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 d d) (.f64 #s(literal 1/4 binary64) (*.f64 D M))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (/.f64 d (*.f64 D M)) #s(literal 4 binary64)) d) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 D M) #s(literal 4 binary64)) (.f64 d d))
(/.f64 (.f64 #s(literal 1 binary64) M) (/.f64 (.f64 (*.f64 d d) #s(literal 4 binary64)) D))
(/.f64 (.f64 M #s(literal 1 binary64)) (/.f64 (.f64 (*.f64 d d) #s(literal 4 binary64)) D))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 d #s(literal 4 binary64))) (/.f64 d (.f64 D M)))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D M)) d) d)
(/.f64 (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64)))) d)
(/.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) (.f64 (/.f64 d (*.f64 D M)) d)))
(/.f64 (.f64 M (/.f64 D d)) (.f64 d #s(literal 4 binary64)))
(/.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D M)) (neg.f64 (*.f64 d d)))
(/.f64 (.f64 (neg.f64 M) D) (.f64 #s(literal -4 binary64) (*.f64 d d)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D M)) (*.f64 d d))
(/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 d (.f64 D M)) d))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 d (*.f64 D M)) #s(literal 4 binary64)) d) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d d) (.f64 #s(literal 1/4 binary64) (*.f64 D M))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 d (*.f64 D M)) #s(literal 4 binary64)) d))
(/.f64 (.f64 D M) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 M (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) D))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (/.f64 d (.f64 D M)) #s(literal 4 binary64)) d)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 d (.f64 D M)) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) D) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d #s(literal 4 binary64)) D) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 d (*.f64 D M)) M) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 d (*.f64 D M)) d) D) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))) (/.f64 d M)) D)
(.f64 (/.f64 (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64)))) (neg.f64 d)) (.f64 (neg.f64 M) D))
(.f64 (/.f64 (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 M (/.f64 D d)))
(.f64 (.f64 (.f64 (.f64 M M) D) D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(.f64 (.f64 (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M) D) M)
(.f64 (.f64 (.f64 D M) (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64)))) M)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 d (.f64 D M)) (.f64 D M)) #s(literal -1 binary64)))
(.f64 (/.f64 D (.f64 d #s(literal 4 binary64))) (/.f64 M (/.f64 d (*.f64 D M))))
(.f64 (/.f64 M (/.f64 d (.f64 D M))) (/.f64 D (*.f64 d #s(literal 4 binary64))))
(.f64 (/.f64 M #s(literal 4 binary64)) (/.f64 D (.f64 (/.f64 d (*.f64 D M)) d)))
(.f64 (.f64 D (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M)) M)
(.f64 (.f64 #s(literal 1/4 binary64) D) (pow.f64 (/.f64 (.f64 (/.f64 d (.f64 D M)) d) M) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 (/.f64 d (.f64 D M)) d)))
(.f64 (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64)))) (.f64 M (/.f64 D d)))
(.f64 (.f64 (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M) M) D)
(.f64 (.f64 (.f64 M M) D) (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))))
(.f64 (.f64 M (/.f64 D d)) (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64)))))
(.f64 (.f64 (/.f64 D d) (.f64 D M)) (/.f64 M (.f64 d #s(literal 4 binary64))))
(.f64 (/.f64 M (.f64 d #s(literal 4 binary64))) (.f64 (/.f64 D d) (.f64 D M)))
(.f64 (.f64 (neg.f64 M) D) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (.f64 (/.f64 d (*.f64 D M)) d))))
(.f64 (.f64 (/.f64 D (.f64 (.f64 d d) #s(literal 4 binary64))) M) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 D M)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 D (.f64 (.f64 d d) #s(literal 4 binary64))) M) (*.f64 D M))
(.f64 (/.f64 D (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (*.f64 M M) D))
(.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 d (.f64 D M)) d) (.f64 D M)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M M) D) D) (/.f64 #s(literal 1/4 binary64) (.f64 d d))))
(.f64 (.f64 D M) (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M))
(.f64 D (/.f64 M (.f64 (.f64 (/.f64 d (.f64 D M)) #s(literal 4 binary64)) d)))
(.f64 D (.f64 (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M) M))
(.f64 M (.f64 D (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M)))
(pow.f64 (/.f64 (/.f64 d (.f64 D M)) (.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 (.f64 D D) (*.f64 M M))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 (.f64 D D) (*.f64 M M))) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 D M) (/.f64 d (.f64 D M))) (*.f64 d #s(literal 4 binary64)))
(/.f64 (/.f64 (.f64 D M) #s(literal 4 binary64)) (.f64 (/.f64 d (*.f64 D M)) d))
(/.f64 (.f64 M (.f64 (/.f64 D d) (.f64 D M))) (.f64 d #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (.f64 M M) D) (.f64 #s(literal 1/4 binary64) D)) (*.f64 d d))
(/.f64 (.f64 (.f64 (.f64 M M) D) (neg.f64 D)) (.f64 #s(literal -4 binary64) (*.f64 d d)))
(/.f64 (.f64 (.f64 (.f64 M M) D) #s(literal 1 binary64)) (/.f64 (.f64 (*.f64 d d) #s(literal 4 binary64)) D))
(/.f64 (.f64 (/.f64 M (.f64 d #s(literal 4 binary64))) D) (/.f64 d (*.f64 D M)))
(/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (neg.f64 (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64))))) (neg.f64 (/.f64 d (*.f64 D M))))
(/.f64 (neg.f64 (.f64 (neg.f64 M) D)) (neg.f64 (.f64 #s(literal -4 binary64) (.f64 (/.f64 d (.f64 D M)) d))))
(/.f64 (.f64 (.f64 D M) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 d (*.f64 D M)) #s(literal 4 binary64)) d))
(/.f64 (.f64 (.f64 D D) (.f64 M M)) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64)))) (/.f64 d (*.f64 D M)))
(/.f64 (.f64 (.f64 M M) D) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) D))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 (.f64 D D) (*.f64 M M)))))
(/.f64 (.f64 (neg.f64 M) D) (.f64 #s(literal -4 binary64) (.f64 (/.f64 d (.f64 D M)) d)))
(/.f64 (.f64 (/.f64 D (.f64 (.f64 d d) #s(literal 4 binary64))) M) (/.f64 #s(literal 1 binary64) (.f64 D M)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (.f64 D M)) (.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 (.f64 D D) (*.f64 M M))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 (.f64 D D) (*.f64 M M))))
(/.f64 (.f64 D M) (.f64 (.f64 (/.f64 d (.f64 D M)) #s(literal 4 binary64)) d))
(neg.f64 (.f64 (neg.f64 M) (.f64 D (.f64 (/.f64 D (.f64 (*.f64 d d) #s(literal 4 binary64))) M))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 (.f64 D D) (.f64 M M)))) #s(literal -1 binary64)))

eval405.0ms (2.5%)

Memory: 30.2MiB live, 397.0MiB allocated
Compiler: Compiled 65 309 to 3 233 computations (95% saved)

prune863.0ms (5.3%)

Memory

25.6MiB live, 1 183.7MiB allocated

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	2 088	23	2 111
Fresh	11	16	27
Picked	4	1	5
Done	0	2	2
Total	2 103	42	2 145

Accuracy

89.6%

Counts

2 145 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 3 binary64)))) w0) (sqrt.f64 (fma.f64 (fma.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) #s(literal 1 binary64)) (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 1 binary64))))
	76.4%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (neg.f64 h) D) M) d) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D M)) (.f64 l d)) #s(literal 1 binary64))) w0)
	74.8%	(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (neg.f64 M) h) (.f64 #s(literal 1/2 binary64) M)) (.f64 (.f64 d d) l))) D #s(literal 1 binary64))) w0)
	79.7%	(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 l d) d)) #s(literal 1 binary64))) w0)
	74.8%	(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) #s(approx (/ ( (* M D) 1/4) (* (* d d) l)) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))) #s(literal 1 binary64))) w0)
	84.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (/.f64 D d)) (.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) l) (neg.f64 h) #s(literal 1 binary64))))
✓	75.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))))
	75.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 #s(literal -1/4 binary64) (.f64 D M))) (.f64 (*.f64 (neg.f64 l) d) d)) (neg.f64 h) #s(literal 1 binary64))))
	85.5%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
	82.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 D M) h) #s(literal -1/2 binary64)) (.f64 d l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) D #s(literal 1 binary64))))
	75.4%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (*.f64 M D)) (neg.f64 h) #s(literal 1 binary64))))
	78.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
	82.8%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (/.f64 D (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64))))) (neg.f64 h) #s(literal 1 binary64))))
	83.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) M) d)) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
✓	54.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
	20.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) d) (/.f64 h l)) d))))
	19.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (.f64 d l))))))
	17.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M)))))
	19.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D))))
	16.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 l d) d)))))))
✓	64.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	69.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 l d))) w0))
	58.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)) w0))
	59.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0))
	52.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 d d) l)) w0))
	57.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
	54.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 l (*.f64 d d))) w0))
	56.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (.f64 (*.f64 d (neg.f64 l)) d)) w0))
	58.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M M) w0) d)) w0))
	56.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d (neg.f64 l)) d))) w0))
	55.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (*.f64 d d) l)))) w0))
	26.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (exp.f64 (.f64 (log.f64 (.f64 l (/.f64 d (.f64 (.f64 D D) #s(literal -1/8 binary64))))) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) d) w0))
	16.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 l d)) d)))
	15.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 d d)) l)))
	17.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) l)) d) d)))
	16.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
	15.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0)) (.f64 (.f64 (neg.f64 l) d) d))))
	16.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 #s(literal 1 binary64) (.f64 (.f64 l d) (/.f64 d (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)))))))
	16.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 l d)) (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d))))
	14.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (/.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (.f64 d d) l)))))
	14.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))
	15.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (exp.f64 (.f64 (log.f64 (.f64 (.f64 l d) (/.f64 d (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) D) D) w0) #s(literal -1/8 binary64))))) #s(literal -1 binary64)))))

Compiler

Compiled 2 895 to 1 154 computations (60.1% saved)

regimes366.0ms (2.3%)

Memory

-8.8MiB live, 384.0MiB allocated

Counts

76 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (/.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0)) (.f64 (.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (.f64 (*.f64 d (neg.f64 l)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 l d)) (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 d d)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 l d)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M M) w0) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d (neg.f64 l)) d))) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 l d) d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 #s(literal 1 binary64) (.f64 (.f64 l d) (/.f64 d (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) l)) d) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 w0 (/.f64 (.f64 (*.f64 M M) h) l)) d) d) w0))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (*.f64 M D)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) #s(approx (/ ( (* M D) 1/4) (* (* d d) l)) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 l d) d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (neg.f64 h)) (.f64 (*.f64 l d) (neg.f64 d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 D D) (neg.f64 h)) (.f64 (.f64 d (neg.f64 l)) d)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 #s(literal -1/4 binary64) (.f64 D M))) (.f64 (*.f64 (neg.f64 l) d) d)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 h d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) #s(approx (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D)) (/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (*.f64 d l)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (neg.f64 M) h) (.f64 #s(literal 1/2 binary64) M)) (.f64 (.f64 d d) l))) D #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (/.f64 D (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64))))) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 M (/.f64 #s(literal 1/4 binary64) (.f64 d d))) D) (/.f64 (.f64 M D) l)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (neg.f64 h) D) M) d) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D M)) (.f64 l d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) d) (/.f64 h l)) d))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M) d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) M) d)) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 D M) h) #s(literal -1/2 binary64)) (.f64 d l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) D #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (/.f64 D d)) (.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 D (/.f64 #s(literal -1/2 binary64) d))) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (exp.f64 (.f64 (log.f64 (.f64 (.f64 l d) (/.f64 d (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) D) D) w0) #s(literal -1/8 binary64))))) #s(literal -1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (exp.f64 (.f64 (log.f64 (.f64 l (/.f64 d (.f64 (.f64 D D) #s(literal -1/8 binary64))))) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) d) w0))
(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 3 binary64)))) w0) (sqrt.f64 (fma.f64 (fma.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) #s(literal 1 binary64)) (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 1 binary64))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))

(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))

Calls

15 calls:

37.0ms	w0
35.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
34.0ms	M
29.0ms	h
26.0ms	d

Results

Accuracy	Segments	Branch
86.8%	1	`w0`
86.8%	1	`M`
86.8%	1	`D`
86.8%	1	`h`
86.8%	1	`l`
86.8%	1	`d`
88.5%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
88.5%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.5%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.7%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
88.7%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.8%	1	`(*.f64 M D)`
86.8%	1	`(*.f64 #s(literal 2 binary64) d)`
86.8%	1	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes346.0ms (2.1%)

Memory

8.5MiB live, 200.2MiB allocated

Counts

71 → 1

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (/.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0)) (.f64 (.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (.f64 (*.f64 d (neg.f64 l)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 l d)) (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 d d)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 l d)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M M) w0) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d (neg.f64 l)) d))) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 l d) d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 #s(literal 1 binary64) (.f64 (.f64 l d) (/.f64 d (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) l)) d) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 w0 (/.f64 (.f64 (*.f64 M M) h) l)) d) d) w0))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (*.f64 M D)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) #s(approx (/ ( (* M D) 1/4) (* (* d d) l)) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 l d) d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (neg.f64 h)) (.f64 (*.f64 l d) (neg.f64 d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 D D) (neg.f64 h)) (.f64 (.f64 d (neg.f64 l)) d)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 #s(literal -1/4 binary64) (.f64 D M))) (.f64 (*.f64 (neg.f64 l) d) d)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 h d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) #s(approx (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D)) (/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (*.f64 d l)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (neg.f64 M) h) (.f64 #s(literal 1/2 binary64) M)) (.f64 (.f64 d d) l))) D #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (/.f64 D (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64))))) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 M (/.f64 #s(literal 1/4 binary64) (.f64 d d))) D) (/.f64 (.f64 M D) l)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (neg.f64 h) D) M) d) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D M)) (.f64 l d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) d) (/.f64 h l)) d))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M) d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) M) d)) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 D M) h) #s(literal -1/2 binary64)) (.f64 d l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) D #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (/.f64 D d)) (.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 D (/.f64 #s(literal -1/2 binary64) d))) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))

Calls

9 calls:

94.0ms	(*.f64 M D)
69.0ms	M
44.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
42.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
29.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Results

Accuracy	Segments	Branch
86.8%	1	`M`
86.8%	1	`D`
86.8%	1	`(*.f64 M D)`
86.8%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
86.8%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
86.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
86.8%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
86.8%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.8%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 137 to 101 computations (26.3% saved)

regimes473.0ms (2.9%)

Memory

-9.5MiB live, 473.3MiB allocated

Counts

70 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (/.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0)) (.f64 (.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (.f64 (*.f64 d (neg.f64 l)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 l d)) (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 d d)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 l d)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M M) w0) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d (neg.f64 l)) d))) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 l d) d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 #s(literal 1 binary64) (.f64 (.f64 l d) (/.f64 d (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) l)) d) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 w0 (/.f64 (.f64 (*.f64 M M) h) l)) d) d) w0))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (*.f64 M D)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) #s(approx (/ ( (* M D) 1/4) (* (* d d) l)) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 l d) d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (neg.f64 h)) (.f64 (*.f64 l d) (neg.f64 d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 D D) (neg.f64 h)) (.f64 (.f64 d (neg.f64 l)) d)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 #s(literal -1/4 binary64) (.f64 D M))) (.f64 (*.f64 (neg.f64 l) d) d)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 h d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) #s(approx (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D)) (/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (*.f64 d l)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (neg.f64 M) h) (.f64 #s(literal 1/2 binary64) M)) (.f64 (.f64 d d) l))) D #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (/.f64 D (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64))))) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 M (/.f64 #s(literal 1/4 binary64) (.f64 d d))) D) (/.f64 (.f64 M D) l)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (neg.f64 h) D) M) d) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D M)) (.f64 l d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) d) (/.f64 h l)) d))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M) d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) M) d)) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 D M) h) #s(literal -1/2 binary64)) (.f64 d l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) D #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (/.f64 D d)) (.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 D (/.f64 #s(literal -1/2 binary64) d))) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))

(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))

Calls

15 calls:

87.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
84.0ms	(*.f64 #s(literal 2 binary64) d)
66.0ms	D
23.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
21.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Results

Accuracy	Segments	Branch
85.5%	1	`(/.f64 h l)`
85.5%	1	`w0`
87.4%	2	`h`
87.0%	2	`l`
85.5%	1	`d`
85.5%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
85.5%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
85.5%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
87.7%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
87.7%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
85.5%	1	`(*.f64 #s(literal 2 binary64) d)`
87.6%	2	`M`
85.5%	1	`D`
85.5%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
87.3%	2	`(*.f64 M D)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes74.0ms (0.5%)

Memory

14.1MiB live, 133.1MiB allocated

Counts

68 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (/.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0)) (.f64 (.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (.f64 (*.f64 d (neg.f64 l)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 l d)) (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 d d)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 l d)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M M) w0) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d (neg.f64 l)) d))) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 l d) d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 #s(literal 1 binary64) (.f64 (.f64 l d) (/.f64 d (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) l)) d) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 w0 (/.f64 (.f64 (*.f64 M M) h) l)) d) d) w0))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (*.f64 M D)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) #s(approx (/ ( (* M D) 1/4) (* (* d d) l)) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 l d) d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (neg.f64 h)) (.f64 (*.f64 l d) (neg.f64 d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 D D) (neg.f64 h)) (.f64 (.f64 d (neg.f64 l)) d)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 #s(literal -1/4 binary64) (.f64 D M))) (.f64 (*.f64 (neg.f64 l) d) d)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 h d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) #s(approx (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D)) (/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (*.f64 d l)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (neg.f64 M) h) (.f64 #s(literal 1/2 binary64) M)) (.f64 (.f64 d d) l))) D #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (/.f64 D (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64))))) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 M (/.f64 #s(literal 1/4 binary64) (.f64 d d))) D) (/.f64 (.f64 M D) l)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (neg.f64 h) D) M) d) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D M)) (.f64 l d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) d) (/.f64 h l)) d))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M) d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) M) d)) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 D M) h) #s(literal -1/2 binary64)) (.f64 d l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) D #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (/.f64 D d)) (.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) l) (neg.f64 h) #s(literal 1 binary64))))

(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))

Calls

4 calls:

19.0ms	h
18.0ms	M
18.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
15.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
87.4%	2	`h`
87.3%	2	`M`
85.5%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
85.5%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes58.0ms (0.4%)

Memory

-17.9MiB live, 101.7MiB allocated

Counts

66 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (/.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0)) (.f64 (.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (.f64 (*.f64 d (neg.f64 l)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 l d)) (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 d d)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 l d)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M M) w0) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d (neg.f64 l)) d))) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 l d) d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 #s(literal 1 binary64) (.f64 (.f64 l d) (/.f64 d (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) l)) d) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 w0 (/.f64 (.f64 (*.f64 M M) h) l)) d) d) w0))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (*.f64 M D)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) #s(approx (/ ( (* M D) 1/4) (* (* d d) l)) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 l d) d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (neg.f64 h)) (.f64 (*.f64 l d) (neg.f64 d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 D D) (neg.f64 h)) (.f64 (.f64 d (neg.f64 l)) d)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 #s(literal -1/4 binary64) (.f64 D M))) (.f64 (*.f64 (neg.f64 l) d) d)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 h d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) #s(approx (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D)) (/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (*.f64 d l)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (neg.f64 M) h) (.f64 #s(literal 1/2 binary64) M)) (.f64 (.f64 d d) l))) D #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (/.f64 D (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64))))) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 M (/.f64 #s(literal 1/4 binary64) (.f64 d d))) D) (/.f64 (.f64 M D) l)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (neg.f64 h) D) M) d) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D M)) (.f64 l d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) d) (/.f64 h l)) d))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M) d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) M) d)) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 D M) h) #s(literal -1/2 binary64)) (.f64 d l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) D #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))

(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))

Calls

3 calls:

18.0ms	h
18.0ms	(*.f64 M D)
17.0ms	M

Results

Accuracy	Segments	Branch
87.3%	2	`M`
87.3%	2	`(*.f64 M D)`
85.5%	1	`h`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes20.0ms (0.1%)

Memory

35.7MiB live, 35.7MiB allocated

Counts

65 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (/.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0)) (.f64 (.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (.f64 (*.f64 d (neg.f64 l)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 l d)) (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 d d)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 l d)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M M) w0) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d (neg.f64 l)) d))) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 l d) d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 #s(literal 1 binary64) (.f64 (.f64 l d) (/.f64 d (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) l)) d) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 w0 (/.f64 (.f64 (*.f64 M M) h) l)) d) d) w0))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (*.f64 M D)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) #s(approx (/ ( (* M D) 1/4) (* (* d d) l)) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 l d) d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (neg.f64 h)) (.f64 (*.f64 l d) (neg.f64 d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 D D) (neg.f64 h)) (.f64 (.f64 d (neg.f64 l)) d)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 #s(literal -1/4 binary64) (.f64 D M))) (.f64 (*.f64 (neg.f64 l) d) d)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 h d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) #s(approx (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D)) (/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (*.f64 d l)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (neg.f64 M) h) (.f64 #s(literal 1/2 binary64) M)) (.f64 (.f64 d d) l))) D #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (/.f64 D (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64))))) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 M (/.f64 #s(literal 1/4 binary64) (.f64 d d))) D) (/.f64 (.f64 M D) l)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (neg.f64 h) D) M) d) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D M)) (.f64 l d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) d) (/.f64 h l)) d))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M) d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) M) d)) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 D M) h) #s(literal -1/2 binary64)) (.f64 d l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) D #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))

(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
87.3%	2	`M`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes73.0ms (0.4%)

Memory

-40.2MiB live, 112.5MiB allocated

Counts

64 → 1

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (/.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0)) (.f64 (.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (.f64 (*.f64 d (neg.f64 l)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 l d)) (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 d d)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 l d)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M M) w0) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d (neg.f64 l)) d))) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 l d) d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 #s(literal 1 binary64) (.f64 (.f64 l d) (/.f64 d (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) l)) d) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 w0 (/.f64 (.f64 (*.f64 M M) h) l)) d) d) w0))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (*.f64 M D)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) #s(approx (/ ( (* M D) 1/4) (* (* d d) l)) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 l d) d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (neg.f64 h)) (.f64 (*.f64 l d) (neg.f64 d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 D D) (neg.f64 h)) (.f64 (.f64 d (neg.f64 l)) d)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 #s(literal -1/4 binary64) (.f64 D M))) (.f64 (*.f64 (neg.f64 l) d) d)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 h d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) #s(approx (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D)) (/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (*.f64 d l)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (neg.f64 M) h) (.f64 #s(literal 1/2 binary64) M)) (.f64 (.f64 d d) l))) D #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (/.f64 D (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64))))) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 M (/.f64 #s(literal 1/4 binary64) (.f64 d d))) D) (/.f64 (.f64 M D) l)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 M (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d))))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (neg.f64 h) D) M) d) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D M)) (.f64 l d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) d) (/.f64 h l)) d))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M) d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) M) d)) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 D M) h) #s(literal -1/2 binary64)) (.f64 d l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) D #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) #s(approx ( (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) (/.f64 (.f64 (.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))

Calls

3 calls:

35.0ms	l
18.0ms	M
17.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
85.5%	1	`l`
85.5%	1	`(*.f64 M D)`
85.5%	1	`M`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes294.0ms (1.8%)

Memory

17.8MiB live, 410.5MiB allocated

Counts

53 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (/.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0)) (.f64 (.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (.f64 (*.f64 d (neg.f64 l)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 l d)) (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 d d)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 l d)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M M) w0) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d (neg.f64 l)) d))) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 l d) d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 #s(literal 1 binary64) (.f64 (.f64 l d) (/.f64 d (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) l)) d) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 w0 (/.f64 (.f64 (*.f64 M M) h) l)) d) d) w0))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (*.f64 M D)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) #s(approx (/ ( (* M D) 1/4) (* (* d d) l)) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 l d) d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (neg.f64 h)) (.f64 (*.f64 l d) (neg.f64 d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 D D) (neg.f64 h)) (.f64 (.f64 d (neg.f64 l)) d)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 #s(literal -1/4 binary64) (.f64 D M))) (.f64 (*.f64 (neg.f64 l) d) d)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 h d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) #s(approx (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D)) (/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (*.f64 d l)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (neg.f64 M) h) (.f64 #s(literal 1/2 binary64) M)) (.f64 (.f64 d d) l))) D #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (/.f64 D (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64))))) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 M (/.f64 #s(literal 1/4 binary64) (.f64 d d))) D) (/.f64 (.f64 M D) l)) (neg.f64 h) #s(literal 1 binary64))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 D (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64))))) (neg.f64 h) #s(literal 1 binary64))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

15 calls:

42.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
31.0ms	l
31.0ms	(*.f64 #s(literal 2 binary64) d)
28.0ms	d
17.0ms	h

Results

Accuracy	Segments	Branch
82.8%	1	`w0`
82.8%	1	`l`
82.8%	1	`M`
82.8%	1	`D`
82.8%	1	`h`
82.8%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
82.8%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
82.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
82.8%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
82.8%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
84.6%	2	`(/.f64 h l)`
82.8%	1	`d`
82.8%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
82.8%	1	`(*.f64 #s(literal 2 binary64) d)`
82.8%	1	`(*.f64 M D)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes244.0ms (1.5%)

Memory

-30.5MiB live, 448.0MiB allocated

Counts

51 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (/.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0)) (.f64 (.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (.f64 (*.f64 d (neg.f64 l)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 l d)) (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 d d)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 l d)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M M) w0) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d (neg.f64 l)) d))) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 l d) d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 #s(literal 1 binary64) (.f64 (.f64 l d) (/.f64 d (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) l)) d) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 w0 (/.f64 (.f64 (*.f64 M M) h) l)) d) d) w0))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (*.f64 M D)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) #s(approx (/ ( (* M D) 1/4) (* (* d d) l)) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 l d) d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (neg.f64 h)) (.f64 (*.f64 l d) (neg.f64 d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 D D) (neg.f64 h)) (.f64 (.f64 d (neg.f64 l)) d)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 #s(literal -1/4 binary64) (.f64 D M))) (.f64 (*.f64 (neg.f64 l) d) d)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 h d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) M) (/.f64 h l)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) #s(approx (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D)) (/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) #s(literal -1/2 binary64)) (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) M) d) (/.f64 h (*.f64 d l)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (neg.f64 M) h) (.f64 #s(literal 1/2 binary64) M)) (.f64 (.f64 d d) l))) D #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))

Outputs

(*.f64 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))) w0)

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

15 calls:

18.0ms	M
16.0ms	D
16.0ms	(*.f64 M D)
15.0ms	l
15.0ms	h

Results

Accuracy	Segments	Branch
79.7%	1	`w0`
79.7%	1	`l`
79.7%	1	`h`
81.4%	2	`d`
79.7%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
83.1%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
83.1%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
81.4%	2	`(*.f64 #s(literal 2 binary64) d)`
79.7%	1	`M`
82.2%	2	`D`
82.1%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
82.1%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
83.9%	3	`(*.f64 M D)`
83.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
82.0%	2	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes88.0ms (0.5%)

Memory

33.6MiB live, 190.4MiB allocated

Counts

40 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (/.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0)) (.f64 (.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (.f64 (*.f64 d (neg.f64 l)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 l d)) (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 d d)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 l d)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M M) w0) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d (neg.f64 l)) d))) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 l d) d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 #s(literal 1 binary64) (.f64 (.f64 l d) (/.f64 d (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) l)) d) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 w0 (/.f64 (.f64 (*.f64 M M) h) l)) d) d) w0))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (*.f64 M D)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) #s(approx (/ ( (* M D) 1/4) (* (* d d) l)) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)

Outputs

(*.f64 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

8 calls:

14.0ms	(*.f64 M D)
12.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
11.0ms	D
11.0ms	(/.f64 h l)
10.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
79.7%	2	`(/.f64 h l)`
79.3%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
79.3%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
80.4%	2	`D`
81.9%	3	`(*.f64 M D)`
80.8%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
80.8%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
81.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 115 to 85 computations (26.1% saved)

regimes94.0ms (0.6%)

Memory

-7.6MiB live, 72.3MiB allocated

Counts

39 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (/.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0)) (.f64 (.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (.f64 (*.f64 d (neg.f64 l)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 l d)) (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 d d)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 l d)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M M) w0) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d (neg.f64 l)) d))) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 l d) d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 #s(literal 1 binary64) (.f64 (.f64 l d) (/.f64 d (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) l)) d) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 w0 (/.f64 (.f64 (*.f64 M M) h) l)) d) d) w0))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (*.f64 M D)) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) #s(approx (/ ( (* M D) 1/4) (* (* d d) l)) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M (.f64 l (.f64 d d))))) #s(literal 1 binary64))) w0)

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M D)) (neg.f64 h) #s(literal 1 binary64))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

3 calls:

44.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
37.0ms	(*.f64 #s(literal 2 binary64) d)
11.0ms	d

Results

Accuracy	Segments	Branch
80.5%	3	`d`
80.5%	3	`(*.f64 #s(literal 2 binary64) d)`
81.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes91.0ms (0.6%)

Memory

0.1MiB live, 159.3MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (/.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0)) (.f64 (.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (.f64 (*.f64 d (neg.f64 l)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 l d)) (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 d d)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 l d)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M M) w0) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d (neg.f64 l)) d))) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 l d) d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M)))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 #s(literal 1 binary64) (.f64 (.f64 l d) (/.f64 d (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) l)) d) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 w0 (/.f64 (.f64 (*.f64 M M) h) l)) d) d) w0))

Outputs

(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

8 calls:

14.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
12.0ms	l
12.0ms	w0
11.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
10.0ms	h

Results

Accuracy	Segments	Branch
80.5%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
80.5%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
76.0%	2	`M`
71.7%	2	`l`
78.3%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
69.7%	1	`w0`
73.2%	3	`h`
80.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 114 to 85 computations (25.4% saved)

regimes121.0ms (0.7%)

Memory

-16.8MiB live, 136.6MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (/.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0)) (.f64 (.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (.f64 (*.f64 d (neg.f64 l)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 l d)) (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 d d)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) w0) #s(literal -1/8 binary64)) (*.f64 l d)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M M) w0) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (neg.f64 w0) (.f64 (.f64 M M) h)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d (neg.f64 l)) d))) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 l d) d)))))))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M h) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

10 calls:

35.0ms	d
19.0ms	(/.f64 h l)
11.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
8.0ms	D
8.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
78.2%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
78.2%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
75.0%	2	`d`
75.0%	2	`(*.f64 #s(literal 2 binary64) d)`
75.7%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
75.7%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
74.1%	2	`(/.f64 h l)`
75.9%	2	`(*.f64 M D)`
75.7%	2	`D`
78.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 131 to 99 computations (24.4% saved)

regimes3.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (/.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d)))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

1 calls:

2.0ms

(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
77.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes12.0ms (0.1%)

Memory

28.5MiB live, 28.5MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (/.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (.f64 M M)) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d)))))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) l))))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

6 calls:

2.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
2.0ms	M
2.0ms	(*.f64 M D)
2.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
2.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
69.4%	2	`(*.f64 M D)`
69.7%	2	`M`
75.9%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
75.9%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
75.8%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
75.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 102 to 74 computations (27.5% saved)

regimes23.0ms (0.1%)

Memory

-28.9MiB live, 47.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

15 calls:

3.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
2.0ms	M
2.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms	(*.f64 #s(literal 2 binary64) d)
1.0ms	l

Results

Accuracy	Segments	Branch
64.6%	1	`(*.f64 M D)`
64.6%	1	`M`
64.6%	1	`w0`
64.6%	1	`h`
64.6%	1	`l`
64.6%	1	`(/.f64 h l)`
64.6%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
64.6%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
64.6%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
64.6%	1	`d`
64.6%	1	`(*.f64 #s(literal 2 binary64) d)`
64.6%	1	`D`
64.6%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
64.6%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
64.6%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 183 to 140 computations (23.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2410321408712548e-88	5.769905351744433e-75

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.137492659628207e+85	1.8030086089596353e+91

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch26.0ms (0.2%)

Memory

11.1MiB live, 47.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
23.0ms	-2.8783843707497684e-269	-1.7050624777311148e-290

Samples

15.0ms	144×	0	valid
2.0ms	19×	0	invalid

Compiler

Compiled 567 to 395 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (42% of total)

ival-div: 2.0ms (21% of total)

ival-pow2: 2.0ms (21% of total)

ival-sub: 1.0ms (10.5% of total)

ival-sqrt: 1.0ms (10.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Memory

-16.1MiB live, 28.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
15.0ms	3.8723474228440917e-84	3.0767278869041963e-83

Samples

12.0ms	80×	0	valid
0.0ms	4×	0	invalid

Compiler

Compiled 317 to 216 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 6.0ms (64.8% of total)

ival-mult: 2.0ms (21.6% of total)

ival-sqrt: 1.0ms (10.8% of total)

ival-pow2: 1.0ms (10.8% of total)

ival-sub: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	3.8723474228440917e-84	3.0767278869041963e-83

Compiler

Compiled 317 to 216 computations (31.9% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.5018370033725e-310	-6.07323823e-314

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.0793523247161955e-11	-5.615167032281914e-20

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.113206090451285e-8	-4.0793523247161955e-11

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.113206090451285e-8	-4.0793523247161955e-11

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.077750862574297e+54	-7.228926696803904e+43

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.0766539837038715e+188	-1.1893485834842964e+170

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.15410065720927e+238	-3.169573549544869e+228

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.792592294443631e+297	-1.1478784277790922e+297

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify27.0ms (0.2%)

Memory

-3.8MiB live, 32.4MiB allocated

Algorithm

1×	egg-herbie

Rules

202×	`*-commutative_binary64`
66×	`neg-sub0_binary64`
66×	`neg-mul-1_binary64`
58×	`+-commutative_binary64`
58×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	888
1	288	888
2	324	888
3	383	888
4	449	888
5	495	888
6	522	888
7	532	888
8	535	888

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 (.f64 #s(literal 4 binary64) d) (/.f64 d (.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 D (/.f64 #s(literal -1/2 binary64) d))) (.f64 (.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))))
(if (<=.f64 h #s(literal -4904977144712527/40874809539271061742722513162994453833061401813718170449972167525114099545476384067275939133289179158309733311369062302596555530002300798171938238428873347488153716182038234655079172535180553977500740746128259563383414998120875425564443755897815944345745836172815483732835501982317445323323080704 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (/.f64 D d)) (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64))))) l) (neg.f64 h) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 546812681195753/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 546812681195753/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 h l) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (/.f64 D (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64))))) (neg.f64 h) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -6189700196426901/154742504910672534362390528 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 l d) d)) #s(literal 1 binary64))) w0) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -944473296573929/18889465931478580854784 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))) w0) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -944473296573929/18889465931478580854784 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (.f64 M D)) (neg.f64 h) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1000000000000000078291540404596243842305360299886116864 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (.f64 #s(literal -1/4 binary64) D)) D)))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (.f64 d d) l)))) w0)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -49999999999999999540589572719110335148353311082316343726890146251077870360985096300561032737983380649043799630328643813943508715584736047117726341615358413203781242297082616067649868421895569043991510885701045729028059788218474167011377152 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1499999999999999881262707225601067345189027336128570589940785640379377093638662228281188533504465934597889896728560504557770781468036412599967585353247271158302894248728077468805930603763917627076014623734788021838978488714901207389239103981951764533504185168173933614219932936079806158391853711360 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l)))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 #s(literal 4 binary64) d) (.f64 (/.f64 d (.f64 D M)) l))) (neg.f64 h) #s(literal 1 binary64))) w0) (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (neg.f64 h) l)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) w0))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/2 binary64) D)) (neg.f64 l)) #s(literal 1 binary64))) w0)
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(if (<=.f64 h #s(literal -4904977144712527/40874809539271061742722513162994453833061401813718170449972167525114099545476384067275939133289179158309733311369062302596555530002300798171938238428873347488153716182038234655079172535180553977500740746128259563383414998120875425564443755897815944345745836172815483732835501982317445323323080704 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (/.f64 D d)) (.f64 D (/.f64 M (.f64 d #s(literal 4 binary64))))) l) (neg.f64 h) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 l) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))))
(if (<=.f64 h #s(literal -4904977144712527/40874809539271061742722513162994453833061401813718170449972167525114099545476384067275939133289179158309733311369062302596555530002300798171938238428873347488153716182038234655079172535180553977500740746128259563383414998120875425564443755897815944345745836172815483732835501982317445323323080704 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 M (.f64 #s(literal 4 binary64) d)) D) (.f64 (/.f64 D d) M)) l) (neg.f64 h) #s(literal 1 binary64))) w0) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) D) (.f64 (/.f64 (.f64 (neg.f64 M) h) (.f64 l d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))) w0))
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(if (<=.f64 M #s(literal 546812681195753/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 #s(literal 4 binary64) d) (.f64 (/.f64 d (.f64 D M)) l))) (neg.f64 h) #s(literal 1 binary64))) w0) (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 D d)) (/.f64 (neg.f64 h) l)) (/.f64 D d) #s(literal 1 binary64))) w0))
(if (<=.f64 M #s(literal 546812681195753/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 546812681195753/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 #s(literal 4 binary64) d) (.f64 (/.f64 d (.f64 D M)) l))) (neg.f64 h) #s(literal 1 binary64))) w0) (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) (/.f64 D d)) (*.f64 (/.f64 (neg.f64 D) d) (/.f64 h l)) #s(literal 1 binary64))) w0))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 #s(literal 4 binary64) d) (.f64 (/.f64 d (.f64 D M)) l))) (neg.f64 h) #s(literal 1 binary64))) w0)
(if (<=.f64 (/.f64 h l) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (/.f64 D (.f64 (.f64 l (/.f64 d (.f64 D M))) (.f64 d #s(literal 4 binary64))))) (neg.f64 h) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 h l) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 D (.f64 (.f64 #s(literal 4 binary64) d) (.f64 (/.f64 d (.f64 D M)) l))) M) (neg.f64 h) #s(literal 1 binary64))) w0) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -6189700196426901/154742504910672534362390528 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 l d) d)) #s(literal 1 binary64))) w0) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -6189700196426901/154742504910672534362390528 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 D M)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D M)) (.f64 (.f64 l d) d)) #s(literal 1 binary64))) w0) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -944473296573929/18889465931478580854784 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 M D)) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))) w0) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -944473296573929/18889465931478580854784 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 D M)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D M)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))) w0) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -944473296573929/18889465931478580854784 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 (.f64 d d) l)) (.f64 M D)) (neg.f64 h) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -944473296573929/18889465931478580854784 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D M)) (.f64 (.f64 d d) l)) (.f64 D M)) (neg.f64 h) #s(literal 1 binary64))) w0) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1000000000000000078291540404596243842305360299886116864 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (.f64 #s(literal -1/4 binary64) D)) D)))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1000000000000000078291540404596243842305360299886116864 binary64)) (.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) D) (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M)) D))) w0) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 (.f64 d d) l)))) w0)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) M) (.f64 h M)) w0)) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -49999999999999999540589572719110335148353311082316343726890146251077870360985096300561032737983380649043799630328643813943508715584736047117726341615358413203781242297082616067649868421895569043991510885701045729028059788218474167011377152 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 l (.f64 d d))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -49999999999999999540589572719110335148353311082316343726890146251077870360985096300561032737983380649043799630328643813943508715584736047117726341615358413203781242297082616067649868421895569043991510885701045729028059788218474167011377152 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) w0) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l)))) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1499999999999999881262707225601067345189027336128570589940785640379377093638662228281188533504465934597889896728560504557770781468036412599967585353247271158302894248728077468805930603763917627076014623734788021838978488714901207389239103981951764533504185168173933614219932936079806158391853711360 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 w0 D) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l)))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1499999999999999881262707225601067345189027336128570589940785640379377093638662228281188533504465934597889896728560504557770781468036412599967585353247271158302894248728077468805930603763917627076014623734788021838978488714901207389239103981951764533504185168173933614219932936079806158391853711360 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l)) (.f64 w0 D)) (.f64 (.f64 (.f64 M M) h) D)))) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)

soundness1.6s (9.8%)

Memory

35.7MiB live, 1 289.9MiB allocated

Rules

10 592×	`lower-*.f64`
10 592×	`lower-*.f32`
8 912×	`lower-fma.f64`
8 912×	`lower-fma.f32`
8 572×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	586
0	126	586
1	408	586
2	2739	568
0	8639	564
0	628	8158
1	2189	8136
0	8486	7930
0	62	459
0	105	462
1	334	407
2	2394	407
0	8456	396
0	76	479
0	123	477
1	457	477
2	3380	445
0	8460	445
0	17	78
0	26	78
1	82	78
2	550	78
3	7073	78
0	8661	78
0	684	37063
1	2366	36871
0	8563	35794

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 2 662 to 1 248 computations (53.1% saved)

preprocess315.0ms (1.9%)

Memory

-2.9MiB live, 430.3MiB allocated

Remove

(negabs w0)

(abs d)

Compiler

Compiled 5 422 to 2 560 computations (52.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	204	888
1	288	888
2	324	888
3	383	888
4	449	888
5	495	888
6	522	888
7	532	888
8	535	888

Iter	Nodes	Cost
0	204	888
1	288	888
2	324	888
3	383	888
4	449	888
5	495	888
6	522	888
7	532	888
8	535	888

start0.0ms (0%)

analyze648.0ms (4%)

sample2.2s (13.8%)

explain277.0ms (1.7%)

preprocess180.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify156.0ms (1%)

localize49.0ms (0.3%)

series131.0ms (0.8%)

simplify264.0ms (1.6%)

rewrite218.0ms (1.3%)

eval161.0ms (1%)

prune219.0ms (1.3%)

simplify100.0ms (0.6%)

localize181.0ms (1.1%)

series148.0ms (0.9%)

simplify497.0ms (3.1%)

rewrite462.0ms (2.9%)

eval578.0ms (3.6%)

prune593.0ms (3.7%)

simplify135.0ms (0.8%)

localize210.0ms (1.3%)

series163.0ms (1%)

simplify276.0ms (1.7%)

rewrite400.0ms (2.5%)

eval291.0ms (1.8%)

prune762.0ms (4.7%)

simplify113.0ms (0.7%)

localize280.0ms (1.7%)

series121.0ms (0.7%)

simplify545.0ms (3.4%)

rewrite198.0ms (1.2%)

eval405.0ms (2.5%)

prune863.0ms (5.3%)

regimes366.0ms (2.3%)

regimes346.0ms (2.1%)

regimes473.0ms (2.9%)

regimes74.0ms (0.5%)

regimes58.0ms (0.4%)

regimes20.0ms (0.1%)

regimes73.0ms (0.4%)

regimes294.0ms (1.8%)

regimes244.0ms (1.5%)

regimes88.0ms (0.5%)

regimes94.0ms (0.6%)

regimes91.0ms (0.6%)

regimes121.0ms (0.7%)

regimes3.0ms (0%)

regimes12.0ms (0.1%)

regimes23.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch26.0ms (0.2%)

bsearch17.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.2%)

soundness1.6s (9.8%)

preprocess315.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	204	888
1	288	888
2	324	888
3	383	888
4	449	888
5	495	888
6	522	888
7	532	888
8	535	888