Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze821.0ms (4.8%)

Memory

-31.3MiB live, 569.0MiB 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)

sample1.8s (10.8%)

Memory

44.3MiB live, 2 806.3MiB allocated

Samples

890.0ms	8 256×	0	valid
376.0ms	2 762×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 882.0ms

ival-mult: 412.0ms (46.7% of total)

ival-div: 194.0ms (22% of total)

ival-pow2: 126.0ms (14.3% of total)

ival-sqrt: 78.0ms (8.8% of total)

ival-sub: 50.0ms (5.7% of total)

exact: 11.0ms (1.2% of total)

ival-true: 8.0ms (0.9% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain200.0ms (1.2%)

Memory

-27.9MiB live, 409.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
41	-	1	(-1.6030473069930091e+285 2.1941099991136667e+160 3.425305049180331e-165 1.8434796715416186e+198 1.0080007957738366e-24 2.1020210421852974e+151)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
35	-	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))))`
34	-	5	(-5.6488707542678806e-34 -5.1411419879576166e-182 9.291093810416945e-140 8.429053332225134e+280 1.0540279749685614e-61 3.73620095165034e-115)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
5	-	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	35	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	56
↳	`(-.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	60
↳	`(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	25
↳	`(*.f64 M D)`	overflow	29
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	25
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	60
↳	`(/.f64 h l)`	overflow	29
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	11	0
↳	`(*.f64 M D)`	overflow	29
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	7	0
`*.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**	5	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	98
↳	`(*.f64 M D)`	underflow	42
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	43
↳	`(/.f64 h l)`	overflow	29
`*.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	56
↳	`(*.f64 M D)`	overflow	29
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	25
↳	`(/.f64 h l)`	underflow	34

Confusion

	Predicted +	Predicted -
+	42	12
-	13	189

Precision

0.7636363636363637

Recall

0.7777777777777778

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	42	0	12
-	13	0	189

Precision?

0.7636363636363637

Recall?

0.7777777777777778

Freqs

test

number	freq
0	201
1	45
2	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms

512×

valid

Compiler

Compiled 218 to 55 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 12.0ms (34.2% of total)

ival-div: 8.0ms (22.8% of total)

ival-sub: 5.0ms (14.2% of total)

ival-pow2: 5.0ms (14.2% of total)

ival-sqrt: 3.0ms (8.5% of total)

exact: 1.0ms (2.8% of total)

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

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

preprocess271.0ms (1.6%)

Memory

4.5MiB live, 277.7MiB 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 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))))

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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(.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)

simplify245.0ms (1.4%)

Memory

13.0MiB live, 242.9MiB 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 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal 4 binary64))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))))
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 (.f64 (.f64 M D) (.f64 M D)) (.f64 (*.f64 d d) #s(literal 4 binary64))) (neg.f64 (/.f64 h l)) #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 (.f64 (.f64 M D) (.f64 M D)) (.f64 (*.f64 d d) #s(literal 4 binary64))) (neg.f64 (/.f64 h l)) #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 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal 4 binary64))) h) l)
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(.f64 M (/.f64 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

localize83.0ms (0.5%)

Memory

-26.6MiB live, 63.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.2055240933296691	(.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	7.3283505203166035	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	8.128217300550704	(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	9.756746842391408	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

27.0ms

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 (40.6% of total)

ival-div: 3.0ms (20.3% of total)

ival-sqrt: 2.0ms (13.5% of total)

ival-pow2: 2.0ms (13.5% of total)

ival-sub: 1.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series96.0ms (0.6%)

Memory

18.9MiB live, 133.6MiB 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
29.0ms	h	@	-inf	(* w0 (sqrt (- 1 (* (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	M	@	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)))))
2.0ms	d	@	0	(pow (/ (* M D) (* 2 d)) 2)

simplify370.0ms (2.2%)

Memory

33.9MiB live, 663.8MiB 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 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* 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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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
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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
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)

rewrite334.0ms (2%)

Memory

4.4MiB live, 481.7MiB 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
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)))))
(exp.f64 (log.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (.f64 M D) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))
(/.f64 (.f64 M D) (neg.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 D (neg.f64 M)))))
(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 #s(literal 2 binary64) (/.f64 d (.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)) (.f64 M D)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M (.f64 D (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 d d)) (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (.f64 (*.f64 D (neg.f64 M)) D) M)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 #s(literal 2 binary64) (/.f64 d (.f64 M D)))) (.f64 M (*.f64 D #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d #s(literal -2 binary64))) (neg.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d d) (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) d) (/.f64 (.f64 M (.f64 D (.f64 M D))) (*.f64 #s(literal 2 binary64) d))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d #s(literal -2 binary64)) (/.f64 (.f64 M (.f64 D (.f64 M D))) (*.f64 d #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) d)))
(/.f64 (.f64 D (neg.f64 M)) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 D (neg.f64 M))))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)) (.f64 M D))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 2 binary64) (/.f64 d (.f64 M D))) (.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (neg.f64 (.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64))))) (.f64 d (.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 d d)))
(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 d d))
(/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (neg.f64 (.f64 d (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))))))
(/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) (neg.f64 d)))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 d (.f64 M D))))
(/.f64 (/.f64 (.f64 (.f64 M D) M) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 #s(literal 2 binary64) d) D))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D))
(/.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) (.f64 M D)))
(/.f64 (.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)) (/.f64 #s(literal 2 binary64) M))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal -2 binary64)))
(/.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) d) d)
(/.f64 (/.f64 (.f64 M D) d) (.f64 (.f64 #s(literal 2 binary64) (/.f64 d (.f64 M D))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))))) (neg.f64 (.f64 d (.f64 d #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) d)) (neg.f64 d))
(/.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))
(/.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 2 binary64) D)) (/.f64 d M))
(/.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 d (*.f64 M D)))
(/.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) d) (/.f64 #s(literal 2 binary64) (*.f64 M D)))
(/.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) D) d)
(/.f64 (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D (neg.f64 M)) D) M)) (neg.f64 (.f64 (.f64 d d) #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))))) (.f64 d (*.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) (*.f64 d d)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d))
(/.f64 (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (*.f64 M D) #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 M D) d)) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (.f64 (.f64 M D) M) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) d) D))
(/.f64 (.f64 (/.f64 (.f64 (.f64 M D) M) (.f64 #s(literal 2 binary64) d)) (/.f64 D d)) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 #s(literal 2 binary64) d)) #s(literal -1 binary64)) (.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (neg.f64 D)) (neg.f64 d))
(/.f64 (.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d))) (neg.f64 d))
(/.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64))
(/.f64 (.f64 M (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 D d))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 D d))) (/.f64 #s(literal 2 binary64) M))
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(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (/.f64 (.f64 D #s(literal 1/2 binary64)) d)) M)
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(exp.f64 (log.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))))
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(/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (/.f64 d (.f64 M D))))
(/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (neg.f64 d))
(/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) D))
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M))
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 2 binary64) (*.f64 M D)))
(/.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64))
(/.f64 (exp.f64 (log.f64 (.f64 M D))) (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) d))))
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(/.f64 (exp.f64 (log.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))))) (exp.f64 (log.f64 d)))
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(/.f64 (*.f64 (/.f64 D d) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) M))
(/.f64 (.f64 M #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) d) D))
(/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 M D)) #s(literal 2 binary64))
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(/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))
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(/.f64 (.f64 (.f64 D (neg.f64 M)) (/.f64 #s(literal 1 binary64) d)) #s(literal -2 binary64))
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(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(pow.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (/.f64 d (.f64 M D))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64))
(.f64 M (/.f64 (.f64 D #s(literal 1/2 binary64)) d))
(.f64 M (.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d) #s(literal 1 binary64)))
(.f64 M (.f64 #s(literal 1/2 binary64) (/.f64 D d)))
(.f64 D (/.f64 (.f64 M #s(literal 1/2 binary64)) d))
(.f64 D (.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 M #s(literal 1/2 binary64))))
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(.f64 D (.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) d)))
(.f64 D (.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) d) #s(literal 1 binary64)))
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(.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
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(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -1 binary64)))
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(.f64 (.f64 D (neg.f64 M)) (*.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d))
(.f64 (.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) #s(literal 1 binary64)))
(.f64 (/.f64 D d) (.f64 M #s(literal 1/2 binary64)))
(.f64 (/.f64 D d) (.f64 (*.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 M D))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M D)) #s(literal -1 binary64)))
(.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) d))
(.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) M)
(.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) (*.f64 M #s(literal 1 binary64)))
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(.f64 (neg.f64 D) (.f64 M (/.f64 #s(literal -1/2 binary64) d)))
(.f64 (neg.f64 D) (/.f64 M (.f64 d #s(literal -2 binary64))))
(.f64 (neg.f64 M) (/.f64 D (.f64 d #s(literal -2 binary64))))
(.f64 (neg.f64 M) (.f64 D (/.f64 #s(literal -1/2 binary64) d)))
(.f64 (/.f64 M d) (.f64 D #s(literal 1/2 binary64)))
(.f64 (/.f64 M d) (.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 M d))
(.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1/2 binary64) d) (.f64 D (neg.f64 M)))
(.f64 (/.f64 #s(literal 1 binary64) d) (.f64 M (*.f64 D #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(.f64 (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) (.f64 (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) D)
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) (neg.f64 d)))
(.f64 (pow.f64 D #s(literal 1 binary64)) (pow.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 D (neg.f64 M)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 M d) #s(literal 1 binary64)) (pow.f64 (.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 M d) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (/.f64 d M) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)))
(.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d))))
(.f64 (exp.f64 (log.f64 (.f64 M D))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) d)))))
(.f64 (exp.f64 (log.f64 (.f64 M #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (/.f64 D d))))
(*.f64 (/.f64 (neg.f64 D) d) (/.f64 M #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 D) #s(literal 2 binary64)) (/.f64 M (neg.f64 d)))
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 D #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 M) #s(literal 2 binary64)) (/.f64 D (neg.f64 d)))
(.f64 (/.f64 #s(literal -1 binary64) d) (.f64 (*.f64 M D) #s(literal -1/2 binary64)))
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 (neg.f64 M) #s(literal 2 binary64)))
(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (neg.f64 M) d))
(.f64 (/.f64 M #s(literal -1 binary64)) (/.f64 (neg.f64 D) (.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 M (neg.f64 d)) (/.f64 (neg.f64 D) #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 (neg.f64 D) d))
(.f64 (/.f64 D #s(literal -1 binary64)) (/.f64 (neg.f64 M) (.f64 #s(literal 2 binary64) d)))
(.f64 (/.f64 (neg.f64 D) #s(literal -1 binary64)) (/.f64 (.f64 M #s(literal 1/2 binary64)) d))
(.f64 (/.f64 (neg.f64 M) #s(literal -1 binary64)) (/.f64 (.f64 D #s(literal 1/2 binary64)) d))
(.f64 (.f64 #s(literal 1 binary64) M) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d))
(.f64 (.f64 #s(literal 1 binary64) D) (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)))) (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))))

eval130.0ms (0.8%)

Memory: 7.4MiB live, 316.3MiB allocated
Compiler: Compiled 31 317 to 4 380 computations (86% saved)

prune233.0ms (1.4%)

Memory

-18.2MiB live, 427.9MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	990	16	1 006
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	991	16	1 007

Accuracy

89.6%

Counts

1 007 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
	62.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))
	79.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64))))
	85.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
	77.9%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
▶	77.9%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
	62.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l))))
	60.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (/.f64 l h) (.f64 #s(literal 2 binary64) (.f64 d d)))))))
	70.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (/.f64 #s(literal 1 binary64) h))))))
	83.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) l) (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))))
▶	78.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 d (.f64 M D)))) (/.f64 h l)))))
▶	65.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
	14.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
	51.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
▶	66.7%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	50.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))

Compiler

Compiled 888 to 582 computations (34.5% saved)

simplify382.0ms (2.2%)

Memory

6.3MiB live, 317.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 d (.f64 M D)))) (/.f64 h l)))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 d (*.f64 M D)))) (/.f64 h l)))
cost-diff	384	(/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 d (.f64 M D)))
cost-diff	704	(.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 d (.f64 M D))))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
cost-diff	128	(.f64 (neg.f64 (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))))
cost-diff	384	(fma.f64 (.f64 (neg.f64 (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
cost-diff	384	(.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))
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 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
cost-diff	384	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l)
cost-diff	1088	(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))

Rules

7 192×	`lower-*.f32`
7 154×	`lower-*.f64`
3 144×	`lower-/.f32`
3 122×	`lower-/.f64`
1 750×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	537
0	102	531
1	222	523
2	785	497
3	5490	497
0	8191	494

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

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

localize201.0ms (1.2%)

Memory

15.3MiB live, 293.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	3.151530560341228	(.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 d (.f64 M D))))
accuracy	7.220184965849167	(/.f64 d (*.f64 M D))
accuracy	8.128217300550704	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 d (*.f64 M D)))) (/.f64 h l))))
accuracy	9.756746842391408	(.f64 (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 d (*.f64 M D)))) (/.f64 h l))
accuracy	1.2055240933296691	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
accuracy	8.128217300550704	(sqrt.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
accuracy	11.426730244122897	(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
accuracy	11.448828244476728	(.f64 (neg.f64 (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))))
accuracy	5.048318722091965	(.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64))))
accuracy	8.128217300550704	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))
accuracy	9.756746842391408	(.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))
accuracy	14.398554286954287	(/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy	1.2055240933296691	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	21.459740202441903	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	4.999936693754504	(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
accuracy	7.3283505203166035	(/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64)))
accuracy	7.3283505203166035	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	8.128217300550704	(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))

Samples

112.0ms

256×

valid

Compiler

Compiled 541 to 60 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 37.0ms (47.7% of total)

ival-div: 21.0ms (27.1% of total)

ival-sqrt: 8.0ms (10.3% of total)

ival-pow2: 5.0ms (6.4% of total)

ival-sub: 3.0ms (3.9% of total)

ival-add: 2.0ms (2.6% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series175.0ms (1%)

Memory

-17.8MiB live, 253.4MiB allocated

Counts

26 → 1 404

Calls

Call 1

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

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

Calls

351 calls:

Time	Variable		Point	Expression
11.0ms	M	@	inf	(/ (* M D) (* (* d d) 4))
6.0ms	d	@	inf	(/ (/ (* M D) (* 2 d)) (/ 1 h))
5.0ms	D	@	0	(/ (/ (* M D) (* 2 d)) (/ 1 h))
1.0ms	M	@	0	(/ (/ (* M D) (* 2 d)) (/ 1 h))
1.0ms	h	@	0	(* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4)))

simplify543.0ms (3.2%)

Memory

14.6MiB live, 878.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 334×	`lower-*.f64`
8 334×	`lower-*.f32`
6 404×	`lower-fma.f64`
6 404×	`lower-fma.f32`
4 600×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	665	36181
1	2296	36029
0	8310	35014

Stop Event

1×	iter limit
1×	node limit

Counts

1 404 → 1 369

Calls

Call 1

Inputs
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d 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 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)))))))
(* (/ (* 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 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
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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)))
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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))))) (+ (* 1/2 (* (/ 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))))
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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
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1
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1
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(* (/ (* 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))))))))
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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)))))))))
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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))))
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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))))) (+ (* 1/16 (* (/ (* (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
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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))))
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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))))) (+ (* 1/16 (* (/ (* (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
(+ 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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(* (/ (* 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))))
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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
(+ 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)))
(* 1/4 (/ (* (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)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 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)))
(* 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
(+ 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
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w0
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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))))))
(+ 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 (* (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))))))))
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))))
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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 (* -1/8 (/ (* (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))))) (+ (* 1/2 (* (/ 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 (* (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))))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
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(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
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(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
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(* 1/2 (/ (* (pow D 2) M) d))
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(* 1/2 (/ (* (pow D 2) M) d))
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(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
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(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
(* 1/2 (/ (* (pow D 2) M) d))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 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)))))
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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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(/ (- (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))))
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1
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1
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1
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(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 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
(+ 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)))))))
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)))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))
(/ d (* D M))

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

rewrite319.0ms (1.9%)

Memory

-2.9MiB live, 560.1MiB allocated

Rules

4 298×	`lower-*.f32`
4 260×	`lower-*.f64`
3 522×	`lower-/.f32`
3 500×	`lower-/.f64`
2 722×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	419
0	102	425
1	359	385
2	3330	381
0	8607	371

Stop Event

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

Counts

26 → 815

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (.f64 #s(literal 2 binary64) (/.f64 d (.f64 M D))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) (*.f64 (log.f64 h) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) h)) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal -1 binary64) h)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) h)) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h)))) (/.f64 (.f64 M D) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) h) (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))))
(neg.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal -1 binary64) h)))
(neg.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 M D) (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h)))
(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) h) (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h)) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))) #s(literal 1 binary64)))
(/.f64 h (.f64 #s(literal 2 binary64) (/.f64 d (.f64 M D))))
(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) h))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))))))
(/.f64 (.f64 M (neg.f64 D)) (neg.f64 (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(/.f64 (.f64 M (neg.f64 D)) (.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) h) d))
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))
(/.f64 (.f64 (.f64 M (neg.f64 D)) #s(literal 1 binary64)) (.f64 (.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 d (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (.f64 M (neg.f64 D)) h) (*.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) h) d)
(/.f64 (/.f64 (.f64 M D) (/.f64 #s(literal 1 binary64) h)) (.f64 #s(literal 2 binary64) d))
(pow.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h)) (.f64 M D)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 M (/.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 M (.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) h))
(.f64 M (/.f64 D (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(.f64 D (/.f64 M (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(.f64 (.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h))
(.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)))
(.f64 h (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal -2 binary64))) (neg.f64 h))
(.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) h)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))
(.f64 (/.f64 M (/.f64 #s(literal 1 binary64) h)) (/.f64 D (.f64 #s(literal 2 binary64) d)))
(.f64 (/.f64 D (/.f64 #s(literal 1 binary64) h)) (/.f64 M (.f64 #s(literal 2 binary64) d)))
(.f64 (/.f64 M #s(literal 1 binary64)) (/.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M D) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M D)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D d)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 M D)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 M (neg.f64 D))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) d))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 D (*.f64 M #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d))
(exp.f64 (.f64 (log.f64 (.f64 l (.f64 #s(literal -2 binary64) (/.f64 d (.f64 M D))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) l))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 l)) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (neg.f64 l)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 l))) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (neg.f64 (neg.f64 l))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 l (.f64 #s(literal 2 binary64) d))) (/.f64 (.f64 M D) (.f64 l (*.f64 #s(literal 2 binary64) d))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 l (.f64 d #s(literal -2 binary64))))) (/.f64 (.f64 M D) (neg.f64 (.f64 l (*.f64 d #s(literal -2 binary64))))))
(neg.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (neg.f64 l)))
(neg.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) l))
(/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))
(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (neg.f64 l))
(/.f64 #s(literal 1 binary64) (.f64 l (.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D))) l))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D)))) #s(literal 1 binary64)))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l)
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (neg.f64 (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 l (.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D))))))
(/.f64 (.f64 M (neg.f64 D)) (.f64 l (*.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 M (neg.f64 D)) (neg.f64 (.f64 l (*.f64 d #s(literal -2 binary64)))))
(/.f64 (.f64 M (/.f64 D d)) (.f64 l #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) l) (.f64 #s(literal -2 binary64) (/.f64 d (.f64 M D))))
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (.f64 l (.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)) l)
(/.f64 (.f64 (.f64 M (neg.f64 D)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) d) l))
(/.f64 (.f64 (.f64 M (/.f64 D d)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) l))
(/.f64 (.f64 (.f64 M D) (/.f64 #s(literal 1 binary64) l)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 M (neg.f64 D)) (/.f64 #s(literal 1 binary64) l)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (.f64 M (/.f64 D d)) (/.f64 #s(literal 1 binary64) l)) #s(literal -2 binary64))
(/.f64 (/.f64 (.f64 M D) l) (.f64 d #s(literal -2 binary64)))
(pow.f64 (.f64 l (.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D)))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D))) l) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 M D)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 l (.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 M (.f64 (/.f64 D (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) l)))
(.f64 M (/.f64 D (.f64 l (*.f64 d #s(literal -2 binary64)))))
(.f64 M (/.f64 (/.f64 D (.f64 d #s(literal -2 binary64))) l))
(.f64 D (/.f64 M (.f64 l (*.f64 d #s(literal -2 binary64)))))
(.f64 (.f64 M D) (/.f64 #s(literal 1 binary64) (.f64 l (.f64 d #s(literal -2 binary64)))))
(.f64 (.f64 M D) (/.f64 (/.f64 #s(literal -1/2 binary64) d) l))
(.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))))
(.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) l))
(.f64 (/.f64 M d) (.f64 (*.f64 D #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l)))
(.f64 (/.f64 M d) (/.f64 (.f64 D #s(literal -1/2 binary64)) l))
(.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (.f64 M D) (*.f64 d #s(literal -2 binary64))))
(.f64 (/.f64 M l) (/.f64 D (.f64 d #s(literal -2 binary64))))
(.f64 (/.f64 D l) (/.f64 M (.f64 d #s(literal -2 binary64))))
(.f64 (pow.f64 (/.f64 l (.f64 M D)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) d))
(.f64 (pow.f64 (/.f64 l (.f64 M (neg.f64 D))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (pow.f64 (/.f64 l (.f64 M (/.f64 D d))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
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(.f64 (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (*.f64 d d))) (/.f64 h l))
(.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) l) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) h) (.f64 (/.f64 d (.f64 M D)) l)) (/.f64 (.f64 M #s(literal 1/2 binary64)) d))
(.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) (/.f64 #s(literal 1 binary64) l))
(.f64 (.f64 (/.f64 h l) (/.f64 (.f64 M #s(literal 1/2 binary64)) d)) (.f64 #s(literal 1/2 binary64) (.f64 D (.f64 M (/.f64 D d)))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) (/.f64 h l))
(exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 h l) (neg.f64 (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) l) (fma.f64 (/.f64 h l) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) l) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 h l) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d))))) (.f64 l l))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) l) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) l) (fma.f64 (/.f64 h l) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) l) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d))))) (.f64 l l)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (*.f64 d d)))))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d))))) (.f64 l l)))) (sqrt.f64 (fma.f64 (/.f64 h l) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d))))) (.f64 l l)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (*.f64 d d)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) l) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) l) (fma.f64 (/.f64 h l) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d))))) (.f64 l l))))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 h l) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d))) #s(literal 1 binary64)))))
(pow.f64 (fma.f64 (/.f64 h l) (neg.f64 (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (neg.f64 (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 (/.f64 h l) (neg.f64 (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) #s(literal 1 binary64)) (fma.f64 (/.f64 h l) (neg.f64 (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (*.f64 d d)))) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (*.f64 d d)))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) l) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) l) (fma.f64 (/.f64 h l) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (*.f64 d d))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) l) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) l) (fma.f64 (/.f64 h l) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (*.f64 d d))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d))))) (.f64 l l)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (*.f64 d d))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d))))) (.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (*.f64 d d))) #s(literal 1 binary64)))))
(.f64 (pow.f64 (fma.f64 (/.f64 h l) (neg.f64 (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (.f64 d d)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (neg.f64 (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M D) (*.f64 d d)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 M (/.f64 D d))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 M (neg.f64 D))) (/.f64 d (.f64 M (neg.f64 D))))
(neg.f64 (/.f64 d (*.f64 M (neg.f64 D))))
(/.f64 d (*.f64 M D))
(/.f64 #s(literal 1 binary64) (*.f64 M (/.f64 D d)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (/.f64 D d)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 D (/.f64 d M)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 M (/.f64 D d))))
(/.f64 (neg.f64 d) (*.f64 M (neg.f64 D)))
(/.f64 (/.f64 d D) M)
(/.f64 (/.f64 d M) D)
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (*.f64 M (neg.f64 D))))
(/.f64 (neg.f64 (/.f64 d M)) (neg.f64 D))
(/.f64 (.f64 d #s(literal 1 binary64)) (.f64 M D))
(pow.f64 (/.f64 d (*.f64 M D)) #s(literal 1 binary64))
(pow.f64 (*.f64 M (/.f64 D d)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 M (/.f64 D d)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 D (/.f64 d M)) #s(literal -1 binary64))
(.f64 d (/.f64 #s(literal 1 binary64) (.f64 M D)))
(.f64 #s(literal 1 binary64) (/.f64 d (.f64 M D)))
(.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (.f64 M (neg.f64 D))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 M D)) d)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 M D)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1 binary64)))
(*.f64 (/.f64 d M) (/.f64 #s(literal 1 binary64) D))
(*.f64 (/.f64 #s(literal 1 binary64) M) (/.f64 d D))
(*.f64 (/.f64 #s(literal 1 binary64) D) (/.f64 d M))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 M D)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 M (neg.f64 D))))

eval288.0ms (1.7%)

Memory: 38.8MiB live, 566.9MiB allocated
Compiler: Compiled 72 445 to 4 697 computations (93.5% saved)

prune938.0ms (5.5%)

Memory

-84.9MiB live, 664.2MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	2 174	10	2 184
Fresh	8	3	11
Picked	4	1	5
Done	0	0	0
Total	2 186	14	2 200

Accuracy

89.6%

Counts

2 200 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.8%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
	68.1%	(.f64 (sqrt.f64 (fma.f64 (.f64 M (neg.f64 D)) (/.f64 (.f64 (.f64 M D) h) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64))) w0)
	58.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
	80.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
▶	79.4%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 h (.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))))
	70.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 d d)) (.f64 (*.f64 M D) h)) l))))
▶	88.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (.f64 D #s(literal 1/2 binary64))) h) (.f64 (/.f64 d (*.f64 M D)) l)))))
▶	57.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) M) (/.f64 (.f64 D (.f64 M D)) (.f64 d (*.f64 d #s(literal 4 binary64))))))))
	65.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (*.f64 d d)) M) D) (/.f64 h l)))))
▶	14.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
	15.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (/ (* M 1/2) d) (/ (* D 1/2) (/ d (* M D)))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (.f64 D D)) M)) h) (.f64 l (*.f64 d d))))))
	51.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
✓	66.7%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	50.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))

Compiler

Compiled 734 to 482 computations (34.3% saved)

simplify276.0ms (1.6%)

Memory

7.7MiB live, 203.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) M) (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 d #s(literal 4 binary64))))))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) M) (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 d #s(literal 4 binary64)))))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) M) (/.f64 (.f64 D (.f64 M D)) (.f64 d (*.f64 d #s(literal 4 binary64))))))))
cost-diff	384	(.f64 (.f64 (/.f64 h l) M) (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 d #s(literal 4 binary64)))))
cost-diff	0	#s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 h (.f64 M M)))) (*.f64 d l)))
cost-diff	0	(fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 h (.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 h (.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 h (.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))))
cost-diff	0	(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
cost-diff	0	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l))
cost-diff	0	(*.f64 D D)
cost-diff	0	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (.f64 D #s(literal 1/2 binary64))) h) (.f64 (/.f64 d (.f64 M D)) l))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (.f64 D #s(literal 1/2 binary64))) h) (.f64 (/.f64 d (*.f64 M D)) l)))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (.f64 D #s(literal 1/2 binary64))) h) (.f64 (/.f64 d (.f64 M D)) l)))
cost-diff	768	(/.f64 (.f64 (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (.f64 D #s(literal 1/2 binary64))) h) (.f64 (/.f64 d (.f64 M D)) l))

Rules

8 778×	`lower-*.f32`
8 718×	`lower-*.f64`
3 106×	`lower-/.f32`
3 088×	`lower-/.f64`
1 896×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	721
0	128	722
1	282	722
2	1077	717
3	5015	717
0	8093	711

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

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

localize343.0ms (2%)

Memory

9.0MiB live, 278.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.799001346914719	(*.f64 (/.f64 h l) M)
accuracy	7.244530814976741	(.f64 (.f64 (/.f64 h l) M) (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 d #s(literal 4 binary64)))))
accuracy	8.128217300550704	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) M) (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 d #s(literal 4 binary64)))))))
accuracy	19.747231700854687	(/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 d #s(literal 4 binary64))))
accuracy	5.017623566474877	(.f64 D (.f64 h (*.f64 M M)))
accuracy	7.255024582458307	(.f64 h (.f64 M M))
accuracy	8.128217300550704	(sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 h (.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))
accuracy	10.419603632805552	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 h (.f64 M M)))) (*.f64 d l))
accuracy	8.128217300550704	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))))
accuracy	13.459741953869031	(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (*.f64 M M) h))
accuracy	16.31785380093481	(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))
accuracy	40.61023410994415	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))
accuracy	6.389795275048595	(.f64 (.f64 d d) l)
accuracy	12.462865831445798	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
accuracy	12.68158182096712	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
accuracy	15.809296918950958	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l))
accuracy	4.689122499548683	(.f64 (/.f64 d (.f64 M D)) l)
accuracy	4.915918851236748	(.f64 (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (.f64 D #s(literal 1/2 binary64))) h)
accuracy	7.220184965849167	(/.f64 d (*.f64 M D))
accuracy	8.128217300550704	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (.f64 D #s(literal 1/2 binary64))) h) (.f64 (/.f64 d (.f64 M D)) l))))

Samples

184.0ms

256×

valid

Compiler

Compiled 596 to 73 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-mult: 86.0ms (57.2% of total)

ival-sqrt: 37.0ms (24.6% of total)

ival-div: 15.0ms (10% of total)

ival-add: 4.0ms (2.7% of total)

ival-sub: 3.0ms (2% of total)

ival-pow2: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series292.0ms (1.7%)

Memory

24.9MiB live, 243.6MiB allocated

Counts

30 → 1 608

Calls

Call 1

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

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

Calls

402 calls:

Time	Variable		Point	Expression
42.0ms	l	@	-inf	(/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))
24.0ms	l	@	0	(- 1 (/ (* (* (/ (* M 1/2) d) (* D 1/2)) h) (* (/ d (* M D)) l)))
19.0ms	h	@	inf	(* h (* M M))
1.0ms	h	@	0	(/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))
1.0ms	w0	@	0	(+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0)

simplify621.0ms (3.6%)

Memory

-57.7MiB live, 821.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 498×	`lower-*.f64`
8 498×	`lower-*.f32`
6 720×	`lower-fma.f64`
6 720×	`lower-fma.f32`
4 646×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	683	37811
1	2356	37739
0	8493	36707

Stop Event

1×	iter limit
1×	node limit

Counts

1 608 → 1 566

Calls

Call 1

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

rewrite385.0ms (2.3%)

Memory

24.6MiB live, 527.8MiB allocated

Rules

7 250×	`lower-*.f32`
7 190×	`lower-*.f64`
4 146×	`lower-/.f32`
4 128×	`lower-/.f64`
2 500×	`lower-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	78	572
0	128	572
1	413	572
2	3143	554
0	9607	554

Stop Event

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

Counts

30 → 610

Calls

Call 1

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

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

eval260.0ms (1.5%)

Memory: 9.0MiB live, 613.9MiB allocated
Compiler: Compiled 69 615 to 3 413 computations (95.1% saved)

prune586.0ms (3.4%)

Memory

-2.5MiB live, 929.4MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	2 208	14	2 222
Fresh	3	5	8
Picked	4	1	5
Done	0	1	1
Total	2 215	21	2 236

Accuracy

89.6%

Counts

2 236 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.8%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
	68.1%	(.f64 (sqrt.f64 (fma.f64 (.f64 M (neg.f64 D)) (/.f64 (.f64 (.f64 M D) h) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64))) w0)
	80.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
	79.3%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 M (.f64 M (/.f64 h l))))) d)) (/.f64 D d) #s(literal 1 binary64))))
▶	82.3%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64))))
	55.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 M (.f64 D D)) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 M h)) l))))
	78.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (.f64 (.f64 #s(literal 1/2 binary64) D) h)) (.f64 d l)) (.f64 M D)))))
	65.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (*.f64 d d)) M) D) (/.f64 h l)))))
	16.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 M (.f64 M h))) (.f64 d d)) l))))
	17.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D #s(literal -1/4 binary64))) D) (.f64 (*.f64 d d) l)))))
▶	16.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 M h)) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 d (*.f64 d l)))))))
	19.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 M (.f64 M h)) (.f64 d (*.f64 d l))))))))
	15.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (/ (* M 1/2) d) (/ (* D 1/2) (/ d (* M D)))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (.f64 D D)) M)) h) (.f64 l (*.f64 d d))))))
	51.4%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( (* (/ (* M 1/2) d) (* D 1/2)) h) (* (/ d (* M D)) l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
✓	66.7%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	61.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (.f64 d l)) w0))
	67.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
▶	52.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) (.f64 d d)) w0))
✓	50.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
	56.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 M w0)) (.f64 d (*.f64 d l)))) w0))
▶	12.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M M)) (.f64 h w0)) (.f64 (.f64 d d) l))))

Compiler

Compiled 1 085 to 690 computations (36.4% saved)

simplify212.0ms (1.2%)

Memory

-0.1MiB live, 314.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
cost-diff	320	(.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))
cost-diff	0	(.f64 (.f64 M (.f64 M h)) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 d (*.f64 d l))))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 M h)) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 d (*.f64 d l)))))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 M h)) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 d (*.f64 d l))))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 M h)) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 d (*.f64 d l)))))))
cost-diff	0	(*.f64 D D)
cost-diff	0	(fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) (.f64 d d)) w0)
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) (.f64 d d)) w0))
cost-diff	384	(/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) (*.f64 d d))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M M)) (.f64 h w0))
cost-diff	0	(/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M M)) (.f64 h w0)) (.f64 (.f64 d d) l))
cost-diff	0	#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M M)) (.f64 h w0)) (.f64 (.f64 d d) l)))
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)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
cost-diff	0	#s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l))))
cost-diff	0	(fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64))))

Rules

7 350×	`lower-*.f32`
7 290×	`lower-*.f64`
3 256×	`lower-/.f32`
3 242×	`lower-/.f64`
1 644×	`lower-neg.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	758
0	130	747
1	297	741
2	1192	736
3	4247	730
4	5025	730
5	6409	730
0	8353	730

Stop Event

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

Calls

Call 1

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

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

localize341.0ms (2%)

Memory

13.7MiB live, 229.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.2055240933296691	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
accuracy	1.988779010010078	(.f64 M (.f64 D (*.f64 M D)))
accuracy	8.128217300550704	(sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)))
accuracy	16.094430739450384	(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d)))
accuracy	8.128217300550704	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 M h)) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 d (*.f64 d l))))))
accuracy	12.84378764637236	(.f64 (.f64 M (.f64 M h)) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 d (*.f64 d l))))
accuracy	16.79418127328734	(/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 d (.f64 d l)))
accuracy	40.61023410994415	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 M h)) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 d (*.f64 d l)))))
accuracy	6.332417674539063	(.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64)))
accuracy	12.462865831445798	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) (.f64 d d)) w0))
accuracy	12.68158182096712	(fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) (.f64 d d)) w0)
accuracy	16.781713757121523	(/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) (*.f64 d d))
accuracy	12.462865831445798	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
accuracy	12.746363866924002	(.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M M))
accuracy	17.489343671531486	(/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M M)) (.f64 h w0)) (.f64 (.f64 d d) l))
accuracy	40.32613869029572	#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M M)) (.f64 h w0)) (.f64 (.f64 d d) l)))
accuracy	1.2055240933296691	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64))))
accuracy	6.41611502428636	(.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))
accuracy	8.128217300550704	(sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))
accuracy	10.05730901692761	(/.f64 (.f64 M (.f64 M h)) (*.f64 d l))

Samples

223.0ms

256×

valid

Compiler

Compiled 574 to 74 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-mult: 101.0ms (67.3% of total)

ival-sqrt: 24.0ms (16% of total)

ival-div: 15.0ms (10% of total)

ival-add: 4.0ms (2.7% of total)

ival-pow2: 2.0ms (1.3% of total)

ival-sub: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series205.0ms (1.2%)

Memory

-8.3MiB live, 144.2MiB allocated

Counts

27 → 1 476

Calls

Call 1

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

Outputs
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor -inf w0) (#s(alt (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor -inf w0) (#s(alt (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor -inf w0) (#s(alt (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor -inf w0) (#s(alt (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow D 2) (pow M 2)) (taylor 0 M) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor inf M) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor inf M) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor inf M) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor inf M) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf M) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf M) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf M) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf M) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 D) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 D) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 D) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 D) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor inf D) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor inf D) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor inf D) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor inf D) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf D) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf D) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf D) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf D) (#s(alt (.f64 M (.f64 D (.f64 M D))) (patch (.f64 M (.f64 D (.f64 M D))) #<representation binary64>) () ())) ())

Calls

369 calls:

Time	Variable		Point	Expression
49.0ms	M	@	inf	(/ (* (* (* -1/8 (* D D)) (* M M)) (* h w0)) (* (* d d) l))
2.0ms	w0	@	-inf	(/ (* (* (* -1/8 (* D D)) (* M M)) (* h w0)) (* (* d d) l))
1.0ms	l	@	0	(/ (* M (* D (* M D))) (* (* l (* d -2)) (* 2 d)))
1.0ms	D	@	0	(/ (* D (* D -1/4)) (* d (* d l)))
1.0ms	D	@	0	(/ (* M (* D (* M D))) (* (* l (* d -2)) (* 2 d)))

simplify867.0ms (5.1%)

Memory

22.6MiB live, 723.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 498×	`lower-*.f64`
8 498×	`lower-*.f32`
7 156×	`lower-fma.f64`
7 156×	`lower-fma.f32`
4 630×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	680	35870
1	2347	35734
0	8497	34760

Stop Event

1×	iter limit
1×	node limit

Counts

1 476 → 1 427

Calls

Call 1

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

rewrite313.0ms (1.8%)

Memory

17.4MiB live, 528.8MiB allocated

Rules

5 230×	`lower-*.f32`
5 170×	`lower-*.f64`
4 846×	`lower-/.f32`
4 832×	`lower-/.f64`
2 292×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	609
0	130	607
1	439	573
2	3107	573
0	8791	569

Stop Event

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

Counts

27 → 828

Calls

Call 1

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

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 h M)))) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 h M)))) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))) w0)
(exp.f64 (.f64 (log1p.f64 (.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 h M)))) (*.f64 l d))) (/.f64 D d))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 h M)))) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 h M)))) (.f64 l d)))) (.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 h M)))) (.f64 l d))))) (.f64 d d)) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 h M)))) (.f64 l d))) (/.f64 D d)))) (fma.f64 (.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 h M)))) (.f64 l d))) (.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 h M)))) (.f64 l d))) #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 h M)))) (.f64 l d))))) (/.f64 (.f64 D (.f64 D D)) (.f64 d (*.f64 d d))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 h M)))) (.f64 l d))) (/.f64 D d) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (.f64 D #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 h M)))) (.f64 l d)))) (.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 h M)))) (.f64 l d))))) (.f64 d d)) #s(literal -1 binary64)))))
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(exp.f64 (fma.f64 (log.f64 D) #s(literal 2 binary64) (*.f64 (log.f64 M) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 M) #s(literal 2 binary64) (*.f64 (log.f64 D) #s(literal 2 binary64))))
(pow.f64 (*.f64 D M) #s(literal 2 binary64))
(pow.f64 (*.f64 D (neg.f64 M)) #s(literal 2 binary64))
(.f64 D (.f64 M (*.f64 D M)))
(.f64 D (.f64 (*.f64 D M) M))
(.f64 D (.f64 D (*.f64 M M)))
(.f64 M (.f64 M (*.f64 D D)))
(.f64 (.f64 D D) (*.f64 M M))
(.f64 (.f64 M M) (*.f64 D D))
(.f64 (.f64 D M) (*.f64 D M))
(.f64 (.f64 M (*.f64 D D)) M)
(.f64 (.f64 D (neg.f64 M)) (*.f64 D (neg.f64 M)))
(.f64 (.f64 M (*.f64 D M)) D)
(.f64 (.f64 (*.f64 D M) M) D)

eval339.0ms (2%)

Memory: 19.3MiB live, 552.3MiB allocated
Compiler: Compiled 69 228 to 3 729 computations (94.6% saved)

prune696.0ms (4.1%)

Memory

-28.4MiB live, 954.0MiB allocated

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	2 254	19	2 273
Fresh	5	9	14
Picked	2	3	5
Done	0	2	2
Total	2 261	33	2 294

Accuracy

89.6%

Counts

2 294 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.0%	(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 d (.f64 (*.f64 l d) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
	68.1%	(.f64 (sqrt.f64 (fma.f64 (.f64 M (neg.f64 D)) (/.f64 (.f64 (.f64 M D) h) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64))) w0)
	80.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
	86.2%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (/.f64 (.f64 M (.f64 h M)) d) (.f64 D #s(literal -1/4 binary64))) l)) (/.f64 D d) #s(literal 1 binary64))))
✓	82.3%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64))))
	55.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 M (.f64 D D)) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 M h)) l))))
	78.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (.f64 (.f64 #s(literal 1/2 binary64) D) h)) (.f64 d l)) (.f64 M D)))))
	65.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (*.f64 d d)) M) D) (/.f64 h l)))))
	16.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (.f64 (.f64 M (.f64 h M)) (.f64 #s(literal -1/4 binary64) (.f64 D D))) (.f64 d d)) l))))
	17.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D #s(literal -1/4 binary64))) D) (.f64 (*.f64 d d) l)))))
	18.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M (.f64 h M)) D) (/.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 l (*.f64 d d)))))))
✓	16.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 M h)) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 d (*.f64 d l)))))))
	16.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 M h)) (.f64 (/.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 d d)) (/.f64 D l))))))
	19.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 M (.f64 M h)) (.f64 d (*.f64 d l))))))))
✓	66.7%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	61.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 l d)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))) d) w0))
	67.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
✓	52.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) (.f64 d d)) w0))
✓	50.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
	56.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 M w0)) (.f64 d (*.f64 d l)))) w0))
	50.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 h (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 M M))) (.f64 l (*.f64 d d)))) w0))
	15.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (/.f64 (/.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) (.f64 #s(literal -1/8 binary64) (.f64 D D))) l) d) d)))
	12.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (/.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) #s(literal 1/8 binary64)) l) (.f64 D D)) (neg.f64 (*.f64 d d)))))
	13.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (/.f64 (.f64 M (.f64 M (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d d)) (*.f64 w0 h)) l)))
	13.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 w0 h) (.f64 M (.f64 #s(literal -1/8 binary64) (.f64 D D)))) M) (.f64 (.f64 d d) l))))
	13.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 #s(literal -1/8 binary64) (.f64 D D)))) w0) h) (.f64 (.f64 d d) l))))
	12.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (.f64 D (.f64 h (.f64 w0 (.f64 M M))))) (.f64 (.f64 d d) l))))
	12.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M (.f64 h M))) (*.f64 d d)) (/.f64 w0 l))))
	15.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M (.f64 h M))) d) (/.f64 w0 (*.f64 l d)))))
	13.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 w0 h) (.f64 d d)) (/.f64 (.f64 M (.f64 M (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) l))))
	12.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 h (.f64 w0 (.f64 M M))) l) (*.f64 D D)))))
	12.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 w0 (.f64 M M))) (.f64 l (.f64 d d)))) D)))
	12.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 (.f64 w0 h) (.f64 l (.f64 d d)))))))

Compiler

Compiled 2 178 to 914 computations (58% saved)

regimes270.0ms (1.6%)

Memory

19.4MiB live, 338.5MiB allocated

Counts

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

Calls

15 calls:

39.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
22.0ms	(.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)))))
19.0ms	h
18.0ms	M
18.0ms	d

Results

Accuracy	Segments	Branch
88.8%	1	`w0`
88.8%	1	`M`
88.8%	1	`D`
88.8%	1	`h`
88.8%	1	`l`
88.8%	1	`d`
88.8%	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)))))`
88.8%	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))))`
88.8%	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)))`
88.8%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.8%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
88.8%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.8%	1	`(*.f64 M D)`
88.8%	1	`(*.f64 #s(literal 2 binary64) d)`
88.8%	1	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes279.0ms (1.6%)

Memory

-10.5MiB live, 333.4MiB allocated

Counts

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

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

Calls

15 calls:

60.0ms	(*.f64 M D)
19.0ms	M
18.0ms	w0
17.0ms	l
16.0ms	(/.f64 h l)

Results

Accuracy	Segments	Branch
88.0%	1	`w0`
88.0%	1	`M`
88.0%	1	`D`
88.0%	1	`l`
88.0%	1	`d`
88.0%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
88.0%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.0%	1	`(*.f64 M D)`
88.0%	1	`(*.f64 #s(literal 2 binary64) d)`
88.0%	1	`(/.f64 h l)`
88.0%	1	`h`
88.0%	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)))))`
88.0%	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))))`
88.0%	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)))`
88.0%	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)

regimes218.0ms (1.3%)

Memory

20.8MiB live, 339.2MiB allocated

Counts

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

Outputs

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

Calls

15 calls:

21.0ms	h
16.0ms	D
15.0ms	w0
15.0ms	d
15.0ms	(.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
86.2%	1	`w0`
86.2%	1	`M`
86.2%	1	`D`
86.2%	1	`l`
86.2%	1	`d`
86.2%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
86.2%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.2%	1	`(*.f64 M D)`
86.2%	1	`(*.f64 #s(literal 2 binary64) d)`
86.2%	1	`(/.f64 h l)`
86.2%	1	`h`
86.2%	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)))))`
86.2%	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))))`
86.2%	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)))`
86.2%	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)

regimes204.0ms (1.2%)

Memory

33.4MiB live, 331.1MiB allocated

Counts

46 → 3

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

Outputs

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

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

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

Calls

15 calls:

22.0ms	l
15.0ms	(*.f64 #s(literal 2 binary64) d)
15.0ms	D
14.0ms	h
14.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
84.8%	2	`M`
84.6%	2	`D`
82.3%	1	`l`
82.3%	1	`d`
82.3%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
86.4%	3	`(*.f64 M D)`
82.3%	1	`(*.f64 #s(literal 2 binary64) d)`
82.3%	1	`w0`
82.3%	1	`h`
84.3%	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)))))`
84.3%	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))))`
84.3%	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)))`
84.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
84.2%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.3%	3	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes33.0ms (0.2%)

Memory

-7.0MiB live, 63.0MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

16.0ms	(*.f64 M D)
15.0ms	M

Results

Accuracy	Segments	Branch
84.8%	2	`M`
84.6%	2	`(*.f64 M D)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes160.0ms (0.9%)

Memory

-2.0MiB live, 245.9MiB allocated

Counts

35 → 3

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

Outputs

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

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

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

Calls

15 calls:

24.0ms	(/.f64 h l)
11.0ms	l
11.0ms	d
10.0ms	(*.f64 M D)
10.0ms	D

Results

Accuracy	Segments	Branch
78.6%	3	`h`
78.8%	2	`d`
78.8%	2	`(*.f64 #s(literal 2 binary64) d)`
75.0%	1	`l`
76.6%	2	`w0`
80.3%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
81.8%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
79.9%	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)))))`
82.6%	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))))`
82.6%	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)))`
82.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
84.7%	3	`(*.f64 M D)`
82.4%	2	`D`
81.2%	2	`(/.f64 h l)`
80.9%	2	`M`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes10.0ms (0.1%)

Memory

-21.7MiB live, 17.4MiB 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)))) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 (.f64 w0 h) (.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)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 w0 (.f64 M M))) (.f64 l (.f64 d 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)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (.f64 D (.f64 h (.f64 w0 (.f64 M M))))) (.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)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M M)) (.f64 h 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)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 #s(literal -1/8 binary64) (.f64 D D)))) w0) h) (.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)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 w0 h) (.f64 M (.f64 #s(literal -1/8 binary64) (.f64 D D)))) M) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 h (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 M M))) (.f64 l (*.f64 d d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 M w0)) (.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M 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 #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 (/ ( (* (/ (* M 1/2) d) (* D 1/2)) h) (* (/ d (* M D)) l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) 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)))) (* (* d d) l))) w0) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 h (.f64 w0 (.f64 M M))) 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)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 w0 h) (.f64 d d)) (/.f64 (.f64 M (.f64 M (.f64 #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)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M (.f64 h M))) d) (/.f64 w0 (*.f64 l d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M (.f64 h M))) (*.f64 d d)) (/.f64 w0 l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (/.f64 (.f64 M (.f64 M (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d d)) (*.f64 w0 h)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) (.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 l d)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))) 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)))) (* (* d d) l))) w0) (/.f64 (.f64 (/.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) #s(literal 1/8 binary64)) l) (.f64 D D)) (neg.f64 (*.f64 d d)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (/ (* M 1/2) d) (/ (* D 1/2) (/ d (* M D)))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (.f64 D D)) M)) h) (.f64 l (*.f64 d d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 M (.f64 M h)) (.f64 d (*.f64 d l))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 M h)) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 d (*.f64 d l)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M (.f64 h M)) D) (/.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 l (*.f64 d d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D #s(literal -1/4 binary64))) D) (.f64 (*.f64 d d) l)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 d (.f64 (*.f64 l d) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)

Outputs

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

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

Calls

1 calls:

8.0ms

(*.f64 M D)

Results

Accuracy	Segments	Branch
83.1%	2	`(*.f64 M D)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes55.0ms (0.3%)

Memory

14.2MiB live, 93.2MiB allocated

Counts

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

Outputs

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

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

Calls

7 calls:

9.0ms	M
9.0ms	D
7.0ms	(/.f64 h l)
7.0ms	(*.f64 M D)
7.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
75.9%	2	`M`
75.3%	2	`(/.f64 h l)`
80.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
75.9%	2	`D`
80.8%	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))))`
80.8%	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)))`
76.2%	2	`(*.f64 M D)`

Compiler

Compiled 94 to 70 computations (25.5% saved)

regimes39.0ms (0.2%)

Memory

-11.1MiB live, 66.8MiB allocated

Counts

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

Outputs

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

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

Calls

6 calls:

7.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
7.0ms	(.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)))))
6.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
6.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
6.0ms	(-.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)))

Results

Accuracy	Segments	Branch
79.0%	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))))`
79.0%	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)))`
78.4%	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)))))`
76.6%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
77.0%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
79.0%	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 82 computations (28.1% saved)

regimes20.0ms (0.1%)

Memory

38.2MiB live, 38.2MiB allocated

Counts

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

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

Calls

3 calls:

7.0ms	(*.f64 #s(literal 2 binary64) d)
6.0ms	d
5.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
72.3%	2	`d`
72.3%	2	`(*.f64 #s(literal 2 binary64) d)`
78.4%	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)

regimes14.0ms (0.1%)

Memory

-14.4MiB live, 24.6MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

5.0ms

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

4.0ms

(-.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)))

4.0ms

(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))))

Results

Accuracy	Segments	Branch
76.1%	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))))`
76.1%	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)))`
77.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 62 to 44 computations (29% saved)

regimes4.0ms (0%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
77.1%	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)

regimes39.0ms (0.2%)

Memory

-23.7MiB live, 14.5MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

32.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
3.0ms	h
3.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
66.7%	1	`h`
75.5%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
76.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes33.0ms (0.2%)

Memory

-4.7MiB live, 33.1MiB 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)))) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 (.f64 w0 h) (.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)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 w0 (.f64 M M))) (.f64 l (.f64 d 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)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (.f64 D (.f64 h (.f64 w0 (.f64 M M))))) (.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)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M M)) (.f64 h w0)) (.f64 (.f64 d d) l))))

Outputs

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

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

Calls

9 calls:

14.0ms	M
2.0ms	l
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	w0
2.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
71.5%	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)))`
73.3%	2	`(*.f64 M D)`
66.7%	1	`l`
66.7%	1	`w0`
74.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
75.9%	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 131 to 97 computations (26% saved)

regimes2.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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)))) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 (.f64 w0 h) (.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)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 w0 (.f64 M M))) (.f64 l (.f64 d 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)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (.f64 D (.f64 h (.f64 w0 (.f64 M M))))) (.f64 (.f64 d d) l))))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 (*.f64 w0 h) (*.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
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 19 to 13 computations (31.6% saved)

regimes20.0ms (0.1%)

Memory

2.7MiB live, 40.7MiB 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

13 calls:

4.0ms	M
1.0ms	(.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
1.0ms	(/.f64 h l)

Results

Accuracy	Segments	Branch
66.7%	1	`l`
66.7%	1	`M`
66.7%	1	`d`
66.7%	1	`(*.f64 #s(literal 2 binary64) d)`
66.7%	1	`(*.f64 M D)`
66.7%	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))))`
66.7%	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)))`
66.7%	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)))))`
66.7%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
66.7%	1	`(/.f64 h l)`
66.7%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
66.7%	1	`D`
66.7%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 169 to 128 computations (24.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.6440160401171247e+64	6.8623733004099925e+65
0.0ms	3.6970361966587315e-156	6.140577566982894e-151

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch12.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.649311155238819e-242	5.440960566366181e-242

Samples

7.0ms

80×

valid

Compiler

Compiled 227 to 166 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (42.5% of total)

ival-div: 1.0ms (21.2% of total)

ival-sqrt: 1.0ms (21.2% of total)

ival-pow2: 1.0ms (21.2% 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

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0288123552570573e+282	1.2081560177675048e+284
0.0ms	3.6970361966587315e-156	6.140577566982894e-151

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6970361966587315e-156	6.140577566982894e-151

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	-1.9739733735835367e+45	-7.752618049496591

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.9739733735835367e+45	-7.752618049496591

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.4864642929523977e+125	-3.8790193263134045e+115

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	-1.1061888828487524e+75	-1.4185657794477948e+46

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	-1.4864642929523977e+125	-3.8790193263134045e+115

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	-1.4864642929523977e+125	-3.8790193263134045e+115

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	-1.4864642929523977e+125	-3.8790193263134045e+115

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.4864642929523977e+125	-3.8790193263134045e+115

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify28.0ms (0.2%)

Memory

6.6MiB live, 44.1MiB allocated

Algorithm

1×	egg-herbie

Rules

152×	`*-commutative_binary64`
32×	`+-commutative_binary64`
32×	`sub-neg_binary64`
30×	`neg-sub0_binary64`
30×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	1098
1	278	1098
2	286	1098
3	304	1098
4	327	1098
5	359	1098
6	383	1098
7	395	1098
8	399	1098

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (.f64 D #s(literal 1/2 binary64))) h) (.f64 (/.f64 d (*.f64 M D)) l)))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (/.f64 (.f64 M (.f64 h M)) d) (.f64 D #s(literal -1/4 binary64))) l)) (/.f64 D d) #s(literal 1 binary64))))
(if (<=.f64 (.f64 M D) #s(literal 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (.f64 M D) #s(literal 49999999999999999604519313141816925411378060847115227682784149504 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 d (.f64 (.f64 l d) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0) (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 M (.f64 M (/.f64 h l))))) d)) (/.f64 D d) #s(literal 1 binary64))))))
(if (<=.f64 M #s(literal 6126133732304635/120120269260875203679538523128148109780988153496792056586846390252202105001907707327158563177285302093576864306955287401906923050660835892188183374506238482560635630761454441237386053598226326597119676286686442018469285424714953873908233822195833562657193984 binary64)) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 M D) #s(literal 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (.f64 M D) #s(literal 2000000000000000065564491965724196497141410566042987128526667154881885206394748671855868757344823586107634995163648301637403269353821391391987982202586085042249557608491240131630546544710299192980657097825020601258185202784889671304261897129652009244157571353621710211402529400422400 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 d (.f64 (.f64 l d) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (/.f64 (/.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) (.f64 #s(literal -1/8 binary64) (.f64 D D))) l) d) d)))))
(if (<=.f64 (.f64 M D) #s(literal 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 d (.f64 (*.f64 l d) #s(literal -4 binary64))))) h #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 -999999999999999929757289024535551219930759168 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 M (.f64 M h)) (.f64 d (.f64 d l)))))))) (.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 -999999999999999929757289024535551219930759168 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (/ (* M 1/2) d) (/ (* D 1/2) (/ d (* M D)))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (.f64 D D)) M)) h) (.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 -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M (.f64 h M))) d) (/.f64 w0 (.f64 l 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 -999999999999999926539781176481198923508803215199467887262646419780362305536 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (.f64 d l)))) D 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 -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 M w0)) (.f64 d (.f64 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 -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 #s(literal -1/8 binary64) (.f64 D D)))) w0) h) (.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 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M M)) (.f64 h w0)) (.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 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 (.f64 w0 h) (.f64 l (.f64 d d))))))) (.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
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (.f64 D #s(literal 1/2 binary64))) h) (.f64 (/.f64 d (*.f64 M D)) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) (.f64 D #s(literal 1/2 binary64)))) (.f64 l (/.f64 d (*.f64 M D)))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (/.f64 (.f64 M (.f64 h M)) d) (.f64 D #s(literal -1/4 binary64))) l)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (/.f64 (.f64 M (.f64 M h)) d) (.f64 D #s(literal -1/4 binary64))) l)) (/.f64 D d) #s(literal 1 binary64))))
(if (<=.f64 (.f64 M D) #s(literal 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (.f64 M D) #s(literal 49999999999999999604519313141816925411378060847115227682784149504 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 d (.f64 (.f64 l d) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0) (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 M (.f64 M (/.f64 h l))))) d)) (/.f64 D d) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 M D) #s(literal 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (.f64 M D) #s(literal 49999999999999999604519313141816925411378060847115227682784149504 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 #s(literal -4 binary64) (.f64 d l))))) h #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 M (.f64 M (/.f64 h l))))) d)) (/.f64 D d) #s(literal 1 binary64))))))
(if (<=.f64 M #s(literal 6126133732304635/120120269260875203679538523128148109780988153496792056586846390252202105001907707327158563177285302093576864306955287401906923050660835892188183374506238482560635630761454441237386053598226326597119676286686442018469285424714953873908233822195833562657193984 binary64)) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d l)))) (/.f64 D d) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 M D) #s(literal 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (.f64 M D) #s(literal 2000000000000000065564491965724196497141410566042987128526667154881885206394748671855868757344823586107634995163648301637403269353821391391987982202586085042249557608491240131630546544710299192980657097825020601258185202784889671304261897129652009244157571353621710211402529400422400 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 d (.f64 (.f64 l d) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (/.f64 (/.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) (.f64 #s(literal -1/8 binary64) (.f64 D D))) l) d) d)))))
(if (<=.f64 (.f64 M D) #s(literal 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (.f64 M D) #s(literal 2000000000000000065564491965724196497141410566042987128526667154881885206394748671855868757344823586107634995163648301637403269353821391391987982202586085042249557608491240131630546544710299192980657097825020601258185202784889671304261897129652009244157571353621710211402529400422400 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 #s(literal -4 binary64) (.f64 d l))))) 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)))) (* (* d d) l))) w0) (/.f64 (/.f64 (/.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) (.f64 #s(literal -1/8 binary64) (.f64 D D))) l) d) d)))))
(if (<=.f64 (.f64 M D) #s(literal 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 d (.f64 (*.f64 l d) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0))
(if (<=.f64 (.f64 M D) #s(literal 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 #s(literal -4 binary64) (*.f64 d l))))) h #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 -999999999999999929757289024535551219930759168 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 M (.f64 M h)) (.f64 d (.f64 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 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -999999999999999929757289024535551219930759168 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 M (.f64 M h)) (.f64 d (.f64 d l)))))))) (.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 -999999999999999929757289024535551219930759168 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (/ (* M 1/2) d) (/ (* D 1/2) (/ d (* M D)))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (.f64 D D)) M)) h) (.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 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -999999999999999929757289024535551219930759168 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (/ (* M 1/2) d) (/ (* D 1/2) (/ d (* M D)))) (/ h l))) (/.f64 (.f64 h (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M (.f64 D D))))) (.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 -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M (.f64 h M))) d) (/.f64 w0 (.f64 l 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 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 #s(literal -1/8 binary64) (.f64 D D))) d) (/.f64 w0 (.f64 d l))))) (.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 -999999999999999926539781176481198923508803215199467887262646419780362305536 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (.f64 d l)))) D 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 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -999999999999999926539781176481198923508803215199467887262646419780362305536 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 w0 M))) (.f64 d (.f64 d l)))) D 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 -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 M w0)) (.f64 d (.f64 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 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 w0 M)) (.f64 d (.f64 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 -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 #s(literal -1/8 binary64) (.f64 D D)))) w0) h) (.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 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 h (.f64 w0 (.f64 M (.f64 M (.f64 #s(literal -1/8 binary64) (.f64 D D)))))) (.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 -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M M)) (.f64 h w0)) (.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 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 D D))) (.f64 w0 h)) (.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 -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 (.f64 w0 h) (.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 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 (.f64 w0 h) (.f64 l (.f64 d d))))))) (.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)))

soundness2.1s (12.6%)

Memory

-104.6MiB live, 1 481.2MiB allocated

Rules

10 592×	`lower-*.f64`
10 592×	`lower-*.f32`
8 912×	`lower-fma.f64`
8 912×	`lower-fma.f32`
8 498×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	683	37811
1	2356	37739
0	8493	36707
0	628	8158
1	2189	8136
0	8486	7930
0	665	36181
1	2296	36029
0	8310	35014
0	85	609
0	130	607
1	439	573
2	3107	573
0	8791	569
0	17	78
0	26	78
1	82	78
2	550	78
3	7073	78
0	8661	78
0	61	419
0	102	425
1	359	385
2	3330	381
0	8607	371
0	78	572
0	128	572
1	413	572
2	3143	554
0	9607	554

Stop Event

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

Compiler

Compiled 1 678 to 855 computations (49% saved)

preprocess234.0ms (1.4%)

Memory

11.9MiB live, 394.3MiB allocated

Remove

(sort M D)

(negabs w0)

(abs M)

(abs D)

(abs d)

Compiler

Compiled 2 462 to 1 132 computations (54% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze821.0ms (4.8%)

sample1.8s (10.8%)

explain200.0ms (1.2%)

preprocess271.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify245.0ms (1.4%)

localize83.0ms (0.5%)

series96.0ms (0.6%)

simplify370.0ms (2.2%)

rewrite334.0ms (2%)

eval130.0ms (0.8%)

prune233.0ms (1.4%)

simplify382.0ms (2.2%)

localize201.0ms (1.2%)

series175.0ms (1%)

simplify543.0ms (3.2%)

rewrite319.0ms (1.9%)

eval288.0ms (1.7%)

prune938.0ms (5.5%)

simplify276.0ms (1.6%)

localize343.0ms (2%)

series292.0ms (1.7%)

simplify621.0ms (3.6%)

rewrite385.0ms (2.3%)

eval260.0ms (1.5%)

prune586.0ms (3.4%)

simplify212.0ms (1.2%)

localize341.0ms (2%)

series205.0ms (1.2%)

simplify867.0ms (5.1%)

rewrite313.0ms (1.8%)

eval339.0ms (2%)

prune696.0ms (4.1%)

regimes270.0ms (1.6%)

regimes279.0ms (1.6%)

regimes218.0ms (1.3%)

regimes204.0ms (1.2%)

regimes33.0ms (0.2%)

regimes160.0ms (0.9%)

regimes10.0ms (0.1%)

regimes55.0ms (0.3%)

regimes39.0ms (0.2%)

regimes20.0ms (0.1%)

regimes14.0ms (0.1%)

regimes4.0ms (0%)

regimes39.0ms (0.2%)

regimes33.0ms (0.2%)

regimes2.0ms (0%)

regimes20.0ms (0.1%)

bsearch1.0ms (0%)

bsearch12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify28.0ms (0.2%)

soundness2.1s (12.6%)

preprocess234.0ms (1.4%)

end0.0ms (0%)

Profiling