Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

analyze641.0ms (5.4%)

Memory

43.5MiB live, 1 042.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 20 to 19 computations (5% saved)

sample2.2s (18.7%)

Memory

68.0MiB live, 2 975.3MiB allocated

Samples

1.2s	8 256×	0	valid
398.0ms	2 829×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 474.0ms (43% of total)

ival-pow2: 255.0ms (23.1% of total)

ival-div: 168.0ms (15.2% of total)

ival-sub: 96.0ms (8.7% of total)

ival-sqrt: 81.0ms (7.3% of total)

exact: 12.0ms (1.1% of total)

ival-true: 9.0ms (0.8% of total)

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

adjust: 3.0ms (0.3% of total)

Bogosity

explain249.0ms (2.1%)

Memory

-19.9MiB live, 329.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
43	-	1	(-3.023887854865746e+120 -4.6876509869197625e+226 1.4577795696052898e+76 -3.561820662741412e-267 5.574780663213552e+47 6.828057440380714e+286)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
37	-	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))))`
20	-	1	(-868026410702.9691 2.19331019952841e-279 1.1301382875734157e-36 -5.701270388888818e+181 1.4471737415367652e+202 9.125597419304441e-203)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
11	-	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	37	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	63
↳	`(-.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	65
↳	`(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	28
↳	`(*.f64 M D)`	overflow	23
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	20
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	65
↳	`(/.f64 h l)`	overflow	25
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	11	0
↳	`(*.f64 M D)`	overflow	23
`*.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**	11	0
`*.f64`	`(.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))`	*ou**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	63
↳	`(*.f64 M D)`	overflow	23
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	20
↳	`(/.f64 h l)`	underflow	26
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	109
↳	`(*.f64 M D)`	underflow	30
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	50
↳	`(/.f64 h l)`	overflow	25

Confusion

	Predicted +	Predicted -
+	52	13
-	7	184

Precision

0.8813559322033898

Recall

0.8

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	52	0	13
-	7	0	184

Precision?

0.8813559322033898

Recall?

0.8

Freqs

test

number	freq
0	197
1	49
2	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

91.0ms

512×

valid

Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 19.0ms (48.5% of total)

ival-div: 8.0ms (20.4% of total)

ival-pow2: 5.0ms (12.8% of total)

ival-sqrt: 3.0ms (7.7% of total)

ival-sub: 2.0ms (5.1% of total)

exact: 1.0ms (2.6% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess147.0ms (1.2%)

Memory

23.9MiB live, 210.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	501
1	461	492
2	1413	492
3	4009	492
0	17	18
0	26	18
1	47	18
2	112	18
3	816	18
4	4616	18
5	6521	18
0	8357	18

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 18 to 17 computations (5.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 6 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.5%	(.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 18 to 17 computations (5.6% saved)

simplify117.0ms (1%)

Memory

7.4MiB live, 187.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	26	95
1	47	95
2	112	95
3	816	95
4	4616	95
5	6521	95
0	8357	95

Stop Event

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

Calls

Call 1

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

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

localize78.0ms (0.6%)

Memory

-2.7MiB live, 141.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	2.672833072484562	(.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	4.6318093096385375	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	8.6546964087511	(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	10.193181574264734	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

62.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-pow2: 17.0ms (45.4% of total)

ival-div: 10.0ms (26.7% of total)

ival-mult: 6.0ms (16% of total)

ival-sqrt: 2.0ms (5.3% of total)

ival-sub: 1.0ms (2.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series78.0ms (0.7%)

Memory

-18.4MiB live, 124.8MiB allocated

Counts

5 → 89

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

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	d	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
6.0ms	h	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
5.0ms	M	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
5.0ms	D	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms	M	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))

simplify186.0ms (1.6%)

Memory

37.5MiB live, 266.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	626	4390
1	2407	4334
0	9499	4188

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 88

Calls

Call 1

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

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

rewrite130.0ms (1.1%)

Memory

-33.6MiB live, 205.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
0	26	69
1	75	69
2	410	69
3	7218	69
0	8457	66

Stop Event

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

Counts

5 → 339

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

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

eval168.0ms (1.4%)

Memory: -30.8MiB live, 142.6MiB allocated
Compiler: Compiled 15 345 to 2 438 computations (84.1% saved)

prune31.0ms (0.3%)

Memory

1.0MiB live, 47.4MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	408	18	426
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	408	19	427

Accuracy

83.5%

Counts

427 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.0%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
▶	68.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
	65.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) M) (*.f64 (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64)) M) #s(literal 1 binary64))))
	63.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (.f64 (*.f64 d d) l)))))
	69.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
	71.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
	65.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h) (.f64 (*.f64 #s(literal -2 binary64) d) l)))))
▶	75.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))
	73.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))
✓	75.5%	(.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)))))
	70.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))))
	67.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))))))
	62.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	60.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))))
	56.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) l)) (.f64 d d))))))
▶	9.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
	51.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
▶	64.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	51.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))

Compiler

Compiled 980 to 809 computations (17.4% saved)

simplify103.0ms (0.9%)

Memory

7.8MiB live, 195.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
cost-diff	1	(.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
cost-diff	5	(fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
cost-diff	1	(.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
cost-diff	0	(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) 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	(.f64 (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	534
0	89	516
1	178	516
2	566	516
3	3890	511
0	8110	511

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

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

localize205.0ms (1.7%)

Memory

35.7MiB live, 226.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	2.672833072484562	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
accuracy	6.183307345012049	(.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))
accuracy	8.6507901587511	(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy	10.941690353826873	(.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
accuracy	2.684470098062638	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
accuracy	6.183307345012049	(.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))
accuracy	8.648816532997914	(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))
accuracy	10.941690353826873	(.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
accuracy	8.6507901587511	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))))
accuracy	13.796395072554567	(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))
accuracy	17.986689800618787	(.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l))
accuracy	39.3397701962475	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))
accuracy	2.672833072484562	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	22.724366116655116	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	2.672833072484562	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))
accuracy	6.6020371510007365	(*.f64 (/.f64 M d) D)
accuracy	8.6507901587511	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy	10.189275324264734	(.f64 (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))

Samples

153.0ms	255×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 484 to 52 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-neg: 37.0ms (35% of total)

ival-mult: 29.0ms (27.4% of total)

ival-div: 16.0ms (15.1% of total)

ival-pow2: 12.0ms (11.4% of total)

ival-sqrt: 7.0ms (6.6% of total)

ival-add: 2.0ms (1.9% of total)

ival-sub: 2.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series169.0ms (1.4%)

Memory

-32.9MiB live, 201.5MiB allocated

Counts

20 → 182

Calls

Call 1

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

Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (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)))))))))
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)))))))))
(+ 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)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(/ (* D M) d)
(/ (* (pow M 2) h) (* (pow d 2) l))
(* 1/2 (/ (* D (pow M 2)) d))
(* (/ (* 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)))))))
(* (/ (* 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)))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1 (* (/ (* 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 (* (/ (* 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 (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h 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)))))))))
(+ 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)))))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* 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)))))))
(* 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)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* -1 (* 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 (+ (* 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 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h 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)))))))))
(+ 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)))))))))
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(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
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(* 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))))))))
(* 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)))))))
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(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))
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(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))))
(* -1 (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))))
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* 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)
(/ (+ (* 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)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ l (* -1/2 (/ (* (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)
(+ 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 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+ 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 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) 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)
(/ (+ (* 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)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* -1/2 (/ (* (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))

Calls

18 calls:

Time	Variable		Point	Expression
34.0ms	h	@	-inf	((* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1)) (* (/ M d) D) (* (/ h (* d d)) (/ (* M M) l)) (* (/ D 2) (* (/ M d) M)))
24.0ms	d	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1)) (* (/ M d) D) (* (/ h (* d d)) (/ (* M M) l)) (* (/ D 2) (* (/ M d) M)))
12.0ms	D	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1)) (* (/ M d) D) (* (/ h (* d d)) (/ (* M M) l)) (* (/ D 2) (* (/ M d) M)))
11.0ms	M	@	-inf	((* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1)) (* (/ M d) D) (* (/ h (* d d)) (/ (* M M) l)) (* (/ D 2) (* (/ M d) M)))
10.0ms	w0	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1)) (* (/ M d) D) (* (/ h (* d d)) (/ (* M M) l)) (* (/ D 2) (* (/ M d) M)))

simplify230.0ms (1.9%)

Memory

26.3MiB live, 214.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1098	8971
1	4280	8827
0	8285	8531

Stop Event

1×	iter limit
1×	node limit

Counts

182 → 181

Calls

Call 1

Inputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (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)))))))))
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)))))))))
(+ 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)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(/ (* D M) d)
(/ (* (pow M 2) h) (* (pow d 2) l))
(* 1/2 (/ (* D (pow M 2)) d))
(* (/ (* 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)))))))
(* (/ (* 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)))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1 (* (/ (* 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 (* (/ (* 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 (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h 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)))))))))
(+ 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)))))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* 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)))))))
(* 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)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1 (* 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))))))))
(* -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 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h 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)))))))))
(+ 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)))))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* 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))))))))
(* 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))))))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* -1/2 (/ (* (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)))
(* -1/2 (* (/ (* 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)))))))))
(* -1/2 (* (/ (* 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 (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))))
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(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(/ (+ (* 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)
(/ (+ (* 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)
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(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ l (* -1/2 (/ (* (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)
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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)))))))
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(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (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 (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)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
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Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (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))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
#s(literal 1 binary64)
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(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* 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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(* 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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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
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(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
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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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(* -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)))))))
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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))))) (+ (* 1/16 (* (/ (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))))))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(.f64 (neg.f64 M) (fma.f64 (.f64 (/.f64 (/.f64 (.f64 d w0) D) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(.f64 (neg.f64 M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 M #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 (.f64 d w0) D) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(.f64 (neg.f64 M) (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (/.f64 (.f64 d w0) D) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))))
(.f64 (.f64 (neg.f64 D) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) d)) (sqrt.f64 (/.f64 h l)))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(.f64 (neg.f64 M) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(.f64 (neg.f64 M) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) D) d) (sqrt.f64 (/.f64 h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))))
(.f64 (neg.f64 M) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) D) d) (sqrt.f64 (/.f64 h 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)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))) (*.f64 D D) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))) (*.f64 D D) w0)
(+ 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)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D) #s(literal 1 binary64))
(+ 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)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (.f64 D D) #s(literal 1 binary64))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))) (*.f64 D D) w0)
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/128 binary64) (.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/32 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))) (*.f64 D D) w0)
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D) #s(literal 1 binary64))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/128 binary64) (.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/32 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (.f64 D D) #s(literal 1 binary64))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* 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))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* 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)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) d) (sqrt.f64 (/.f64 h l)))) D)
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
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(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* -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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(* -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))))) (+ (* 1/2 (* (/ 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))))))))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
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(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
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(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
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(+ 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)))))))))
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(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) w0) (.f64 l l))) #s(literal -1/32 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))) h w0)
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
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(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
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(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
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(* 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))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* 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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(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))))
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(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))))
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(* h (+ (* -1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
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(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
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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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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
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(/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D)) #s(literal 1/2 binary64))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D)) #s(literal 1/2 binary64))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(+.f64 (/.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal -1/2 binary64)) (.f64 d d)) #s(literal 1 binary64))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64)) (.f64 d d)))

rewrite212.0ms (1.8%)

Memory

17.9MiB live, 157.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	387
0	89	369
1	265	369
2	1700	369
0	8320	358

Stop Event

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

Counts

20 → 636

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (neg.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sinh.f64 (acosh.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (neg.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sinh.f64 (acosh.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (sin.f64 (acos.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
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(/.f64 (sinh.f64 (acosh.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (sin.f64 (acos.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 D (/.f64 M d))
(*.f64 (/.f64 M d) D)
(*.f64 M (/.f64 D d))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) M)) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 (neg.f64 D) M) (neg.f64 d))
(/.f64 (*.f64 D M) d)
(.f64 (/.f64 (/.f64 (.f64 M M) l) (neg.f64 (neg.f64 d))) (/.f64 h d))
(.f64 (/.f64 (/.f64 (.f64 (neg.f64 M) M) l) d) (/.f64 (neg.f64 h) d))
(.f64 (/.f64 (.f64 h (neg.f64 M)) (*.f64 d d)) (/.f64 (neg.f64 M) l))
(.f64 (/.f64 (.f64 h (neg.f64 M)) l) (/.f64 (neg.f64 M) (*.f64 d d)))
(.f64 (/.f64 (.f64 h M) (*.f64 d d)) (/.f64 M l))
(.f64 (/.f64 (.f64 h M) l) (/.f64 M (*.f64 d d)))
(.f64 (/.f64 (.f64 M M) (*.f64 d d)) (/.f64 h l))
(.f64 (/.f64 (.f64 h (neg.f64 M)) (neg.f64 d)) (/.f64 (neg.f64 M) (*.f64 (neg.f64 d) l)))
(.f64 (/.f64 (.f64 h (neg.f64 M)) d) (/.f64 (neg.f64 M) (*.f64 d l)))
(.f64 (/.f64 (.f64 h M) (neg.f64 (neg.f64 d))) (/.f64 (/.f64 M l) (neg.f64 (neg.f64 d))))
(.f64 (/.f64 (.f64 h M) (neg.f64 d)) (/.f64 (/.f64 M l) (neg.f64 d)))
(.f64 (/.f64 (.f64 h M) (neg.f64 d)) (/.f64 M (*.f64 (neg.f64 d) l)))
(.f64 (/.f64 (.f64 h M) d) (/.f64 (/.f64 M l) d))
(.f64 (/.f64 (.f64 h M) d) (/.f64 M (*.f64 d l)))
(.f64 (/.f64 (.f64 M M) (neg.f64 d)) (/.f64 h (*.f64 (neg.f64 d) l)))
(.f64 (.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))
(.f64 (/.f64 (neg.f64 h) d) (/.f64 (/.f64 (.f64 (neg.f64 M) M) l) d))
(.f64 (/.f64 (neg.f64 h) d) (/.f64 (.f64 M M) (*.f64 (neg.f64 d) l)))
(.f64 (/.f64 (/.f64 (.f64 M M) l) d) (/.f64 h d))
(.f64 (/.f64 h d) (/.f64 (/.f64 (.f64 M M) l) (neg.f64 (neg.f64 d))))
(.f64 (/.f64 h d) (/.f64 (.f64 M M) (*.f64 d l)))
(.f64 (/.f64 h d) (/.f64 (/.f64 (.f64 M M) l) d))
(.f64 (.f64 (/.f64 M d) M) (/.f64 h (*.f64 d l)))
(.f64 (/.f64 (.f64 M M) l) (/.f64 h (*.f64 d d)))
(.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l))
(.f64 (/.f64 h l) (/.f64 (.f64 M M) (*.f64 d d)))
(.f64 h (.f64 (/.f64 (/.f64 M l) d) (/.f64 M d)))
(.f64 h (.f64 (/.f64 M (*.f64 d d)) (/.f64 M l)))
(.f64 M (.f64 (/.f64 M l) (/.f64 h (*.f64 d d))))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 (.f64 M M) l) h) (neg.f64 d))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 (.f64 M M) l) h) d)) (neg.f64 d))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 M) M) (/.f64 h (*.f64 d d)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 (/.f64 h d) (/.f64 (.f64 M M) l))) (neg.f64 d))
(/.f64 (neg.f64 (.f64 (neg.f64 h) (/.f64 (.f64 M M) l))) (*.f64 d d))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 M M) l) (/.f64 h d))) (neg.f64 d))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 M M) l) (neg.f64 h))) (*.f64 d d))
(/.f64 (neg.f64 (.f64 (/.f64 h (.f64 d d)) (*.f64 (neg.f64 M) M))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (neg.f64 (.f64 (/.f64 (.f64 M M) l) h))) (*.f64 d d))
(/.f64 (neg.f64 (neg.f64 (.f64 (/.f64 (.f64 h M) d) (/.f64 M d)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 M M) h))) (neg.f64 (neg.f64 (.f64 (.f64 d d) l))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 M) M) (/.f64 h d))) (neg.f64 (*.f64 (neg.f64 l) d)))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 M) M) (neg.f64 h))) (neg.f64 (.f64 (neg.f64 l) (.f64 (neg.f64 d) d))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 M) M) h)) (neg.f64 (.f64 (neg.f64 l) (.f64 d d))))
(/.f64 (neg.f64 (.f64 (.f64 M M) (/.f64 h d))) (neg.f64 (*.f64 l d)))
(/.f64 (neg.f64 (.f64 (.f64 M M) (neg.f64 h))) (neg.f64 (.f64 l (.f64 (neg.f64 d) d))))
(/.f64 (neg.f64 (.f64 (/.f64 h d) (.f64 (neg.f64 M) M))) (neg.f64 (*.f64 d (neg.f64 l))))
(/.f64 (neg.f64 (.f64 (neg.f64 h) (.f64 (neg.f64 M) M))) (neg.f64 (.f64 (.f64 (neg.f64 d) d) (neg.f64 l))))
(/.f64 (neg.f64 (.f64 h (.f64 (neg.f64 M) M))) (neg.f64 (.f64 (.f64 d d) (neg.f64 l))))
(/.f64 (neg.f64 (.f64 (/.f64 h d) (.f64 M M))) (neg.f64 (*.f64 d l)))
(/.f64 (neg.f64 (.f64 (neg.f64 h) (.f64 M M))) (neg.f64 (.f64 (.f64 (neg.f64 d) d) l)))
(/.f64 (/.f64 (.f64 (/.f64 (.f64 M M) l) h) (neg.f64 d)) (neg.f64 d))
(/.f64 (/.f64 (.f64 (/.f64 (.f64 M M) l) h) d) d)
(/.f64 (.f64 (.f64 (neg.f64 M) M) (/.f64 h (*.f64 d d))) (neg.f64 l))
(/.f64 (.f64 (/.f64 h d) (/.f64 (.f64 M M) l)) d)
(/.f64 (.f64 (neg.f64 h) (/.f64 (.f64 M M) l)) (*.f64 (neg.f64 d) d))
(/.f64 (.f64 (/.f64 (.f64 M M) l) (/.f64 h d)) d)
(/.f64 (.f64 (/.f64 (.f64 M M) l) (neg.f64 h)) (*.f64 (neg.f64 d) d))
(/.f64 (.f64 (/.f64 h (.f64 d d)) (*.f64 (neg.f64 M) M)) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 M M) l) h)) (*.f64 (neg.f64 d) d))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 h M) d) (/.f64 M d))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (.f64 M M) h)) (neg.f64 (.f64 (.f64 d d) l)))
(/.f64 (.f64 (.f64 (neg.f64 M) M) (/.f64 h d)) (*.f64 (neg.f64 l) d))
(/.f64 (.f64 (.f64 (neg.f64 M) M) (neg.f64 h)) (.f64 (neg.f64 l) (.f64 (neg.f64 d) d)))
(/.f64 (.f64 (.f64 (neg.f64 M) M) h) (.f64 (neg.f64 l) (.f64 d d)))
(/.f64 (.f64 (.f64 M M) (/.f64 h d)) (*.f64 l d))
(/.f64 (.f64 (.f64 M M) (neg.f64 h)) (.f64 l (.f64 (neg.f64 d) d)))
(/.f64 (.f64 (/.f64 h d) (.f64 (neg.f64 M) M)) (*.f64 d (neg.f64 l)))
(/.f64 (.f64 (/.f64 h d) (.f64 M M)) (*.f64 d l))
(/.f64 (.f64 (neg.f64 h) (.f64 (neg.f64 M) M)) (.f64 (.f64 (neg.f64 d) d) (neg.f64 l)))
(/.f64 (.f64 (neg.f64 h) (.f64 M M)) (.f64 (.f64 (neg.f64 d) d) l))
(/.f64 (.f64 h (.f64 (neg.f64 M) M)) (.f64 (.f64 d d) (neg.f64 l)))
(/.f64 (.f64 (/.f64 (.f64 M M) l) h) (*.f64 d d))
(/.f64 (.f64 (/.f64 (.f64 h M) d) (/.f64 M d)) l)
(/.f64 (.f64 (.f64 M M) h) (.f64 (.f64 d d) l))
(.f64 (/.f64 (.f64 M M) (neg.f64 d)) (/.f64 D #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 M M) #s(literal -2 binary64)) (/.f64 (neg.f64 D) d))
(.f64 (/.f64 (.f64 M M) #s(literal 2 binary64)) (/.f64 D d))
(.f64 (.f64 (/.f64 D #s(literal 2 binary64)) M) (/.f64 M d))
(.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (.f64 M M) (neg.f64 d)))
(.f64 (/.f64 (neg.f64 D) d) (/.f64 (.f64 M M) #s(literal -2 binary64)))
(.f64 (/.f64 D d) (/.f64 (.f64 M M) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 M d) M) (/.f64 D #s(literal 2 binary64)))
(.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))
(.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) M)
(.f64 D (/.f64 (.f64 (/.f64 M d) M) #s(literal 2 binary64)))
(.f64 (/.f64 M d) (.f64 D (/.f64 M #s(literal 2 binary64))))
(.f64 M (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 M M) (/.f64 D #s(literal 2 binary64)))) (neg.f64 d))
(/.f64 (neg.f64 (.f64 (neg.f64 D) (.f64 (/.f64 M d) M))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 M d) M) (neg.f64 D))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 M M))) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (/.f64 M d) M) D))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 M M) (neg.f64 D))) (neg.f64 (*.f64 #s(literal -2 binary64) d)))
(/.f64 (neg.f64 (.f64 (.f64 M M) D)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (neg.f64 (.f64 (neg.f64 D) (.f64 M M))) (neg.f64 (*.f64 #s(literal -2 binary64) d)))
(/.f64 (neg.f64 (.f64 D (.f64 M M))) (*.f64 #s(literal -2 binary64) d))
(/.f64 (.f64 (.f64 M M) (/.f64 D #s(literal 2 binary64))) d)
(/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 M d) M)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (/.f64 M d) M) (neg.f64 D)) #s(literal -2 binary64))
(/.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 M M)) d)
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 M d) M) D)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 M M) (neg.f64 D)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (.f64 (.f64 M M) D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (neg.f64 D) (.f64 M M)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (.f64 D (.f64 M M)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (.f64 (/.f64 M d) M) D) #s(literal 2 binary64))

eval195.0ms (1.6%)

Memory: -24.3MiB live, 163.7MiB allocated
Compiler: Compiled 32 927 to 3 696 computations (88.8% saved)

prune39.0ms (0.3%)

Memory

14.6MiB live, 62.0MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	701	18	719
Fresh	7	6	13
Picked	4	1	5
Done	0	1	1
Total	712	26	738

Accuracy

84.9%

Counts

738 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.0%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) d) (/.f64 (.f64 (/.f64 (*.f64 M M) l) h) d)))) w0)
▶	77.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
▶	73.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
	69.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 M (/.f64 (neg.f64 h) l))) (/.f64 D d) #s(literal 1 binary64))))
	68.4%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (/.f64 (.f64 (.f64 M M) D) (*.f64 #s(literal 2 binary64) d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
	73.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 M d) (.f64 D (/.f64 M #s(literal 2 binary64))))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
	65.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) M) (*.f64 (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64)) M) #s(literal 1 binary64))))
▶	69.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
	70.9%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) h) D)) (*.f64 l d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
	68.1%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
	63.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (.f64 (*.f64 d d) l)))))
	71.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
	65.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h) (.f64 (*.f64 #s(literal -2 binary64) d) l)))))
✓	75.5%	(.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)))))
	77.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l))))))
▶	54.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64)))))
	64.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
	60.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))))
	10.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal -1/4 binary64))) (.f64 (*.f64 d d) l)))))
	15.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (/.f64 (.f64 h M) l) (/.f64 M (.f64 d d))) (.f64 #s(literal -1/4 binary64) D)) D))))
	17.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 h M) d) (/.f64 M (.f64 d l)))))))
	9.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) #s(approx ( (/ h (* d d)) (/ (* M M) l)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))))))))
	52.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	51.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
✓	64.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	51.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))

Compiler

Compiled 1 516 to 1 188 computations (21.6% saved)

simplify111.0ms (0.9%)

Memory

-2.1MiB live, 97.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
cost-diff	1	(.f64 (.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M)
cost-diff	5	(fma.f64 (.f64 (.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
cost-diff	1	(/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (.f64 #s(literal 2 binary64) l))
cost-diff	0	(fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64)))))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 M M) h) w0) (*.f64 D D))
cost-diff	0	(/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l))
cost-diff	0	(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
cost-diff	1	(/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (.f64 #s(literal 2 binary64) l))
cost-diff	5	(fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	663
0	100	663
1	221	663
2	1016	621
3	5120	621
0	8532	621

Stop Event

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

Calls

Call 1

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

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

localize254.0ms (2.1%)

Memory

-14.6MiB live, 173.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.672833072484562	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
accuracy	3.473368333554054	(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l))
accuracy	8.6507901587511	(sqrt.f64 (fma.f64 (.f64 (.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy	12.08769245842427	(.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d))
accuracy	6.188131307792048	(.f64 (.f64 (/.f64 M d) M) D)
accuracy	6.244896715590108	(/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (.f64 #s(literal 2 binary64) l))
accuracy	7.572325783505621	(.f64 (.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h))
accuracy	8.648816532997914	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64)))
accuracy	8.6507901587511	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64))))
accuracy	8.940182711685836	(.f64 (.f64 M M) h)
accuracy	9.392494907043023	(fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64))
accuracy	15.712355148455723	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))
accuracy	8.940182711685836	(.f64 (.f64 M M) h)
accuracy	14.179958060475446	(.f64 (.f64 (.f64 (.f64 M M) h) w0) (*.f64 D D))
accuracy	15.350523066106021	(/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l))
accuracy	15.438711852565563	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
accuracy	6.188131307792048	(.f64 (.f64 (/.f64 M d) M) D)
accuracy	6.244896715590108	(/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (.f64 #s(literal 2 binary64) l))
accuracy	7.572325783505621	(.f64 (.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h))
accuracy	8.6507901587511	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))

Samples

142.0ms	255×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 598 to 60 computations (90% saved)

Precisions

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

ival-mult: 46.0ms (57.2% of total)

ival-div: 16.0ms (19.9% of total)

ival-sqrt: 7.0ms (8.7% of total)

ival-add: 6.0ms (7.5% of total)

ival-pow2: 3.0ms (3.7% of total)

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

exact: 1.0ms (1.2% of total)

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

adjust: 0.0ms (0% of total)

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

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

series159.0ms (1.3%)

Memory

38.4MiB live, 181.7MiB allocated

Counts

25 → 195

Calls

Call 1

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

Outputs
(* 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 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))
(* (pow D 2) (* (pow M 2) (* h w0)))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d 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)))))))))
(+ 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)))))))))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1 (/ (* D (* (pow M 2) h)) d))
(/ (* D (pow M 2)) d)
(* (pow M 2) h)
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (/ (* 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)))))))
(* (/ (* 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)))))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -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 (* (/ (* 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 (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h 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)))))))))
(+ 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)))))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* -1/2 (/ (* D h) l))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* 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)))))))
(* 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)))))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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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))))))))
(* -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 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))))
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(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* 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))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* 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)))))))
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(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) 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)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ l (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (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 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+ 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 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* 1/2 (* (/ (* (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)
(/ (+ (* 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)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	l	@	0	((+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (+ (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) 1) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1)) (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1) (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (* w0 (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (* (/ M d) M) D) (neg h)) (* (* (/ M d) M) D) (* (* M M) h) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* (* (/ D 2) (/ (neg h) l)) (/ M d)) (* (/ D 2) (/ (neg h) l)))
19.0ms	h	@	inf	((+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (+ (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) 1) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1)) (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1) (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (* w0 (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (* (/ M d) M) D) (neg h)) (* (* (/ M d) M) D) (* (* M M) h) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* (* (/ D 2) (/ (neg h) l)) (/ M d)) (* (/ D 2) (/ (neg h) l)))
17.0ms	D	@	inf	((+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (+ (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) 1) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1)) (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1) (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (* w0 (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (* (/ M d) M) D) (neg h)) (* (* (/ M d) M) D) (* (* M M) h) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* (* (/ D 2) (/ (neg h) l)) (/ M d)) (* (/ D 2) (/ (neg h) l)))
9.0ms	M	@	inf	((+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (+ (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) 1) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1)) (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1) (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (* w0 (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (* (/ M d) M) D) (neg h)) (* (* (/ M d) M) D) (* (* M M) h) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* (* (/ D 2) (/ (neg h) l)) (/ M d)) (* (/ D 2) (/ (neg h) l)))
6.0ms	h	@	0	((+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (+ (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) 1) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1)) (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1) (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (* w0 (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (* (/ M d) M) D) (neg h)) (* (* (/ M d) M) D) (* (* M M) h) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* (* (/ D 2) (/ (neg h) l)) (/ M d)) (* (/ D 2) (/ (neg h) l)))

simplify441.0ms (3.7%)

Memory

10.7MiB live, 235.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1132	9218
1	4398	9074
0	8486	8771

Stop Event

1×	iter limit
1×	node limit

Counts

195 → 194

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 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))
(* (pow D 2) (* (pow M 2) (* h w0)))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d 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)))))))))
(+ 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)))))))))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1 (/ (* D (* (pow M 2) h)) d))
(/ (* D (pow M 2)) d)
(* (pow M 2) h)
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (/ (* 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)))))))
(* (/ (* 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)))))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -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 (* (/ (* 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 (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h 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)))))))))
(+ 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)))))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* -1/2 (/ (* D h) l))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* 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)))))))
(* 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)))))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -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))))))))
(* -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 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h 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)))))))))
(+ 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)))))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* 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))))))))
(* 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))))))))
(* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))))
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(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -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)))))))
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(/ (+ (* 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)
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(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
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(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)
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(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l)))) l)
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(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l)))) l)
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(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ l (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
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(/ (+ (* (* 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)
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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Outputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)) w0)
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))
(/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l))
(* (pow D 2) (* (pow M 2) (* h w0)))
(.f64 (.f64 (.f64 (.f64 M M) h) w0) (*.f64 D D))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(.f64 (neg.f64 w0) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
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(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) h) D)) (*.f64 l d))
w0
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(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) w0) (.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 M M) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 M M) w0)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* 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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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) 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) (* (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))))))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
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(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))))
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(+ 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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(+ 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)))))))
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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)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (.f64 D D) #s(literal 1 binary64))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))) (*.f64 D D) w0)
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/128 binary64) (.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/32 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))) (*.f64 D D) w0)
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D) #s(literal 1 binary64))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/128 binary64) (.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/32 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (.f64 D D) #s(literal 1 binary64))
(* -1/2 (/ (* D h) l))
(.f64 (.f64 D (/.f64 h l)) #s(literal -1/2 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64))
(* 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))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* 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))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* 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)))))))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 w0 (.f64 D D))) (.f64 D D))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
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(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64))
(* -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)))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 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))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 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))))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) d) (sqrt.f64 (/.f64 h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
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(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 d d) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 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)
(/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))
(/.f64 (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l)) #s(literal -1/8 binary64) (.f64 (.f64 d d) w0)) (.f64 d d))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64)) (.f64 d d)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 d d) D) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 d d) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 d d) w0) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 d d) D) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D)) #s(literal 1/2 binary64))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D)) #s(literal 1/2 binary64))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(+.f64 (/.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal -1/2 binary64)) (.f64 d d)) #s(literal 1 binary64))

rewrite280.0ms (2.3%)

Memory

-20.2MiB live, 214.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	489
0	100	489
1	329	476
2	2523	468
0	8266	462

Stop Event

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

Counts

25 → 609

Calls

Call 1

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

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

eval139.0ms (1.2%)

Memory: 5.8MiB live, 297.7MiB allocated
Compiler: Compiled 37 406 to 3 997 computations (89.3% saved)

prune47.0ms (0.4%)

Memory

20.4MiB live, 114.6MiB allocated

Pruning

40 alts after pruning (38 fresh and 2 done)

	Pruned	Kept	Total
New	742	28	770
Fresh	9	10	19
Picked	5	0	5
Done	0	2	2
Total	756	40	796

Accuracy

84.9%

Counts

796 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.0%	(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (neg.f64 h) D) (.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
	13.0%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) d) (/.f64 (.f64 (/.f64 (*.f64 M M) l) h) d)))) w0)
	73.7%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
▶	78.5%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
▶	64.9%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (neg.f64 h) D) (.f64 M M)) (.f64 (.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
	77.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 h (.f64 D (.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
	73.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 h (.f64 D (.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
	68.9%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (.f64 (.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64))))
	69.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 M (/.f64 (neg.f64 h) l))) (/.f64 D d) #s(literal 1 binary64))))
	65.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 M d) (.f64 (.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) M)) (/.f64 D d) #s(literal 1 binary64))))
	69.4%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (/.f64 (/.f64 h l) #s(literal -2 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
▶	69.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
	66.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d)) (.f64 D (/.f64 M d)) #s(literal 1 binary64))))
	68.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (neg.f64 h) D) (.f64 (/.f64 M d) M)) (/.f64 D (.f64 (.f64 l #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
	68.1%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ ( (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
	63.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (.f64 (*.f64 d d) l)))))
	71.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
	65.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h) (.f64 (*.f64 #s(literal -2 binary64) d) l)))))
✓	75.5%	(.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)))))
	77.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l))))))
	72.0%	(.f64 w0 (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 (neg.f64 h) D) (.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
	55.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 h M) M)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64)))))
	64.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
	58.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) d) (/.f64 h (.f64 l d))) (*.f64 D D) #s(literal 1 binary64)))))
	67.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 (*.f64 M M) h) l) D)) D #s(literal 1 binary64)))))
▶	10.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal -1/4 binary64))) (.f64 (*.f64 d d) l)))))
	15.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (/.f64 (.f64 h M) l) (/.f64 M (.f64 d d))) (.f64 #s(literal -1/4 binary64) D)) D))))
	17.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 h M) d) (/.f64 M (.f64 d l)))))))
✓	64.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	63.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d)) w0))
	52.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	45.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 w0 h) (.f64 D D))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	46.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	50.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	68.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (.f64 l d))) #s(literal -1/8 binary64) w0))
	54.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 (.f64 (.f64 D D) w0) (.f64 l d))) #s(literal -1/8 binary64) w0))
	52.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
	57.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 w0 (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
	19.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) (.f64 (.f64 d d) l)) #s(literal 2 binary64)) (.f64 w0 (-.f64 w0 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))) (/.f64 (pow.f64 w0 #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) (.f64 (.f64 d d) l)) #s(literal 2 binary64)) (.f64 w0 (-.f64 w0 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l)))))))))
▶	9.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))

Compiler

Compiled 2 560 to 1 878 computations (26.6% saved)

simplify108.0ms (0.9%)

Memory

-39.1MiB live, 151.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	699
0	125	703
1	289	703
2	1326	691
3	5266	685
0	8780	683

Stop Event

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

Calls

Call 1

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

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

localize259.0ms (2.2%)

Memory

21.0MiB live, 309.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.672833072484562	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
accuracy	3.724610711288667	(/.f64 (.f64 h D) (.f64 #s(literal -2 binary64) l))
accuracy	8.6507901587511	(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 h D) (.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy	12.08769245842427	(.f64 (/.f64 (.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d))
accuracy	2.684470098062638	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (neg.f64 h) D) (.f64 M M)) (.f64 (.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
accuracy	8.648816532997914	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (neg.f64 h) D) (.f64 M M)) (.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64)))
accuracy	10.27206592673413	(/.f64 (.f64 (.f64 (neg.f64 h) D) (.f64 M M)) (.f64 (*.f64 l #s(literal 2 binary64)) d))
accuracy	13.954031594660801	(.f64 (.f64 (neg.f64 h) D) (*.f64 M M))
accuracy	8.940182711685836	(.f64 (.f64 M M) h)
accuracy	14.855945151784425	(/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal -1/4 binary64))) (.f64 (*.f64 d d) l))
accuracy	15.227565162399012	(.f64 (.f64 (.f64 M M) h) (.f64 (*.f64 D D) #s(literal -1/4 binary64)))
accuracy	39.3397701962475	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal -1/4 binary64))) (.f64 (*.f64 d d) l)))
accuracy	14.179958060475446	(.f64 (.f64 (.f64 (.f64 M M) h) w0) (*.f64 D D))
accuracy	15.350523066106021	(/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l))
accuracy	15.438711852565563	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
accuracy	38.934030518311886	#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64)))
accuracy	4.733564403850274	(.f64 (.f64 D M) (neg.f64 h))
accuracy	5.147779009895853	(.f64 (/.f64 M d) (.f64 (*.f64 D M) (neg.f64 h)))
accuracy	6.244896715590108	(/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (neg.f64 h))) (.f64 #s(literal 2 binary64) l))
accuracy	8.6507901587511	(sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (neg.f64 h))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))

Samples

169.0ms	255×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 594 to 73 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 89.0ms (69.3% of total)

ival-div: 17.0ms (13.2% of total)

ival-sqrt: 8.0ms (6.2% of total)

ival-add: 5.0ms (3.9% of total)

ival-pow2: 5.0ms (3.9% of total)

ival-sub: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

series149.0ms (1.2%)

Memory

16.3MiB live, 158.1MiB allocated

Counts

28 → 196

Calls

Call 1

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

Outputs
(* 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 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* (pow D 2) (* (pow M 2) (* h w0)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d 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)))))))))
(+ 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)))))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1 (/ (* D (* (pow M 2) h)) d))
(* -1 (* D (* M h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* (pow M 2) h)
(* -1 (* D (* (pow M 2) h)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (/ (* 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)))))))
(* (/ (* 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)))))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -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 (* (/ (* 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 (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h 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)))))))))
(+ 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)))))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* -1/2 (/ (* D h) l))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* 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)))))))
(* 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)))))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -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))))))))
(* -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 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h 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)))))))))
(+ 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)))))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* 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))))))))
(* 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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(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))
(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))))
(* -1 (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))))
(* -1 (* h (- (* 1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) 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)
(/ (+ (* 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)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ l (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (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 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+ 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 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* 1/2 (* (/ (* (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)
(/ (+ (* 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)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))

Calls

18 calls:

Time	Variable		Point	Expression
32.0ms	M	@	0	((+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (* M M) h) (* (* D D) -1/4)) (* (* d d) l)) (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (* w0 (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1)) (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1) (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (* (/ M d) (* (* D M) (neg h))) (* (* D M) (neg h)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) (* (* D D) -1/4)) (* (* M M) h) (* (* (neg h) D) (* M M)) (* (/ (* h D) (* -2 l)) (/ M d)) (/ (* h D) (* -2 l)))
16.0ms	D	@	-inf	((+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (* M M) h) (* (* D D) -1/4)) (* (* d d) l)) (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (* w0 (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1)) (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1) (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (* (/ M d) (* (* D M) (neg h))) (* (* D M) (neg h)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) (* (* D D) -1/4)) (* (* M M) h) (* (* (neg h) D) (* M M)) (* (/ (* h D) (* -2 l)) (/ M d)) (/ (* h D) (* -2 l)))
14.0ms	l	@	-inf	((+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (* M M) h) (* (* D D) -1/4)) (* (* d d) l)) (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (* w0 (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1)) (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1) (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (* (/ M d) (* (* D M) (neg h))) (* (* D M) (neg h)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) (* (* D D) -1/4)) (* (* M M) h) (* (* (neg h) D) (* M M)) (* (/ (* h D) (* -2 l)) (/ M d)) (/ (* h D) (* -2 l)))
7.0ms	D	@	inf	((+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (* M M) h) (* (* D D) -1/4)) (* (* d d) l)) (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (* w0 (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1)) (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1) (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (* (/ M d) (* (* D M) (neg h))) (* (* D M) (neg h)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) (* (* D D) -1/4)) (* (* M M) h) (* (* (neg h) D) (* M M)) (* (/ (* h D) (* -2 l)) (/ M d)) (/ (* h D) (* -2 l)))
7.0ms	h	@	inf	((+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (* M M) h) (* (* D D) -1/4)) (* (* d d) l)) (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (* w0 (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1)) (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1) (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (* (/ M d) (* (* D M) (neg h))) (* (* D M) (neg h)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) (* (* D D) -1/4)) (* (* M M) h) (* (* (neg h) D) (* M M)) (* (/ (* h D) (* -2 l)) (/ M d)) (/ (* h D) (* -2 l)))

simplify214.0ms (1.8%)

Memory

5.7MiB live, 189.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1133	9223
1	4404	9079
0	8507	8776

Stop Event

1×	iter limit
1×	node limit

Counts

196 → 195

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 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* (pow D 2) (* (pow M 2) (* h w0)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d 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)))))))))
(+ 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)))))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1 (/ (* D (* (pow M 2) h)) d))
(* -1 (* D (* M h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* (pow M 2) h)
(* -1 (* D (* (pow M 2) h)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (/ (* 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)))))))
(* (/ (* 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)))))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -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 (* (/ (* 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 (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h 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)))))))))
(+ 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)))))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* -1/2 (/ (* D h) l))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* 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)))))))
(* 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)))))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -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))))))))
(* -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 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
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(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))

Outputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)) w0)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))
(/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(* (pow D 2) (* (pow M 2) (* h w0)))
(.f64 (.f64 (.f64 (.f64 M M) h) w0) (*.f64 D D))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(.f64 (neg.f64 w0) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) h) D)) (*.f64 l d))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) 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)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (.f64 h h) w0) (.f64 M M)) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 M M) w0)
(+ 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)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) w0) (.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 M M) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 M M) w0)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 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)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h M) (.f64 h M)) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64))
(+ 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)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) (.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (.f64 M M) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64) w0)
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (.f64 h h) w0) (.f64 M M)) (.f64 l l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64))) (*.f64 M M) w0)
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) (.f64 (.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) w0) (.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/128 binary64))) (.f64 M M) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64))) (*.f64 M M) w0)
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h M) (.f64 h M)) (.f64 l l))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 h h) (.f64 l l))) (.f64 (.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) (.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/128 binary64))) (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (.f64 M M) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* -1 (/ (* D (* (pow M 2) h)) d))
(.f64 (neg.f64 D) (/.f64 (.f64 (*.f64 M M) h) d))
(* -1 (* D (* M h)))
(.f64 (neg.f64 D) (.f64 h M))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (*.f64 M M) h))
(* (pow M 2) h)
(.f64 (.f64 M M) h)
(* -1 (* D (* (pow M 2) h)))
(.f64 (.f64 D (*.f64 M M)) (neg.f64 h))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 h M) D)) (.f64 l d))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) (.f64 M M) #s(literal 1 binary64))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (.f64 w0 d) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (.f64 w0 d) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (.f64 w0 d) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M)
(* 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))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* 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)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 w0 (.f64 M M))) (.f64 M M))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) (.f64 M M) #s(literal 1 binary64))
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l)))
(.f64 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) d) (sqrt.f64 (/.f64 h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 w0 d) D) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 M #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 (.f64 w0 d) D) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (/.f64 (.f64 w0 d) D) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))
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(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/128 binary64) (.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/32 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (.f64 D D) #s(literal 1 binary64))
(* -1/2 (/ (* D h) l))
(.f64 (.f64 D (/.f64 h l)) #s(literal -1/2 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64))
(* 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))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* 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))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* 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)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 w0 (.f64 D D))) (.f64 D D))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 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))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 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)))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 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))))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
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(* 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 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)))
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(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))))
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(-.f64 w0 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 d d)) #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 D #s(literal 6 binary64))) (.f64 (pow.f64 d #s(literal 6 binary64)) l)) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 (*.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/32 binary64))) (neg.f64 l))) l))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 h h)) (.f64 (pow.f64 d #s(literal 4 binary64)) l)) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 d d)) #s(literal 1/4 binary64))) l))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 d d)) #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (.f64 (pow.f64 d #s(literal 6 binary64)) l)) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 h h)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/32 binary64))) (neg.f64 l))) l))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64)) (.f64 d 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 (/.f64 (.f64 d d) D) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) 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 (fma.f64 (.f64 (.f64 (.f64 d d) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) 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 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 d d) w0) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 d d) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 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)
(/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))
(/.f64 (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l)) #s(literal -1/8 binary64) (.f64 (.f64 d d) w0)) (.f64 d d))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64)) (.f64 d d)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 d d) D) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 d d) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 d d) w0) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 d d) D) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D)) #s(literal 1/2 binary64))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D)) #s(literal 1/2 binary64))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(+.f64 (/.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal -1/2 binary64)) (.f64 d d)) #s(literal 1 binary64))

rewrite177.0ms (1.5%)

Memory

-22.9MiB live, 265.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	559
0	125	563
1	411	551
2	3086	527
0	8439	519

Stop Event

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

Counts

28 → 718

Calls

Call 1

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

Outputs
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eval133.0ms (1.1%)

Memory: 65.7MiB live, 272.2MiB allocated
Compiler: Compiled 32 781 to 3 734 computations (88.6% saved)

prune120.0ms (1%)

Memory

-53.4MiB live, 248.6MiB allocated

Pruning

44 alts after pruning (40 fresh and 4 done)

	Pruned	Kept	Total
New	661	25	686
Fresh	18	15	33
Picked	3	2	5
Done	0	2	2
Total	682	44	726

Accuracy

84.9%

Counts

726 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.7%	(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
	13.3%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 d d)) (/.f64 #s(literal -1/4 binary64) l)))) w0)
	73.1%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M (.f64 (.f64 h D) M)) d) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
✓	64.9%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (neg.f64 h) D) (.f64 M M)) (.f64 (.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
	71.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D M)) (neg.f64 h)) (.f64 (.f64 #s(literal 2 binary64) d) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
	73.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 h (.f64 D (.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
	73.2%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (.f64 (.f64 (/.f64 (.f64 D M) l) (/.f64 h #s(literal -2 binary64))) (/.f64 D d)) #s(literal 1 binary64))))
	69.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 M (/.f64 (neg.f64 h) l))) (/.f64 D d) #s(literal 1 binary64))))
✓	69.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
	70.8%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (.f64 D (/.f64 M d)) #s(literal 1 binary64))))
	68.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (neg.f64 h) D) (.f64 (/.f64 M d) M)) (/.f64 D (.f64 (.f64 l #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
	65.0%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M (.f64 D M)) (neg.f64 h)) (/.f64 D (.f64 (.f64 (*.f64 #s(literal 2 binary64) d) l) d)) #s(literal 1 binary64))))
	70.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 #s(literal 2 binary64) d) l))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
	68.1%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ ( (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
	71.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
	65.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h) (.f64 (*.f64 #s(literal -2 binary64) d) l)))))
✓	75.5%	(.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)))))
	77.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l))))))
	76.7%	(.f64 w0 (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
	55.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 h M) M)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64)))))
	64.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
	58.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) d) (/.f64 h (.f64 l d))) (*.f64 D D) #s(literal 1 binary64)))))
	67.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 (*.f64 M M) h) l) D)) D #s(literal 1 binary64)))))
	11.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 #s(literal -1/4 binary64) D)) (.f64 (*.f64 d d) l)))))
	13.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) M) (.f64 h M)) (.f64 (*.f64 d d) l)))))
	13.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (.f64 (*.f64 d d) l)))))
	13.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 M (.f64 M (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) h))) (.f64 (*.f64 d d) l)))))
	15.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 h d) (.f64 (/.f64 M d) M)) (.f64 #s(literal -1/4 binary64) (*.f64 D (/.f64 D l)))))))
	10.8%	(.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 D (/.f64 D l))) (.f64 (.f64 M M) h)))))
	15.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (/.f64 (.f64 h M) l) (/.f64 M (.f64 d d))) (.f64 #s(literal -1/4 binary64) D)) D))))
	17.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 h M) d) (/.f64 M (.f64 d l)))))))
✓	64.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	50.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	19.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) (.f64 (.f64 d d) l)) #s(literal 2 binary64)) (.f64 w0 (-.f64 w0 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))) (/.f64 (pow.f64 w0 #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) (.f64 (.f64 d d) l)) #s(literal 2 binary64)) (.f64 w0 (-.f64 w0 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l)))))))))
	14.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d)))))
	10.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
	9.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 w0 h) (.f64 D D))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
	9.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
	12.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
	12.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
	11.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 (.f64 (.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
	13.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 (/.f64 h d) (.f64 (/.f64 M d) M)) (/.f64 (.f64 (.f64 D D) w0) l)) #s(literal -1/8 binary64))))
	9.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))))
	10.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 w0 (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))

Compiler

Compiled 4 736 to 1 777 computations (62.5% saved)

regimes364.0ms (3.1%)

Memory

24.7MiB live, 786.6MiB allocated

Counts

90 → 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) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 w0 h) (.f64 D D))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 w0 h) (.f64 D D))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 w0 (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 (.f64 (.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 w0 (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 (.f64 (.f64 D D) w0) (.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (.f64 l d))) #s(literal -1/8 binary64) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) #s(approx ( (/ h (* d d)) (/ (* M M) l)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 M (.f64 M (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) 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 #s(literal -1/4 binary64) (.f64 D D)) M) (.f64 h M)) (.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 M) h) (.f64 (.f64 D D) #s(literal -1/4 binary64))) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 #s(literal -1/4 binary64) D)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 h M) M)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 (/.f64 h d) (.f64 (/.f64 M d) M)) (/.f64 (.f64 (.f64 D D) w0) l)) #s(literal -1/8 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M (.f64 D M)) (neg.f64 h)) (/.f64 D (.f64 (.f64 (*.f64 #s(literal 2 binary64) d) l) d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 h M) d) (/.f64 M (.f64 d l)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (/.f64 (.f64 h M) l) (/.f64 M (.f64 d d))) (.f64 #s(literal -1/4 binary64) D)) D))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 D (/.f64 D l))) (.f64 (.f64 M M) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 (*.f64 M M) h) l) D)) D #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) d) (/.f64 h (.f64 l d))) (*.f64 D D) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ ( (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) l)) (.f64 d d))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (neg.f64 h) D) (.f64 (/.f64 M d) M)) (/.f64 D (.f64 (.f64 l #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (neg.f64 h) D) (.f64 M M)) (.f64 (.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 h d) (.f64 (/.f64 M d) M)) (.f64 #s(literal -1/4 binary64) (*.f64 D (/.f64 D l)))))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) d) (/.f64 (.f64 (/.f64 (*.f64 M M) l) h) d)))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 h (.f64 D (.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (neg.f64 h) D) (.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 (neg.f64 h) D) (.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) h) D)) (*.f64 l d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d)) (.f64 D (/.f64 M d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (.f64 D (/.f64 M d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (/.f64 (/.f64 h l) #s(literal -2 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 M d) (.f64 (.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) M)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (.f64 (.f64 (/.f64 (.f64 D M) l) (/.f64 h #s(literal -2 binary64))) (/.f64 D d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 h) (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 #s(literal 2 binary64) d) l))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D M)) (neg.f64 h)) (.f64 (.f64 #s(literal 2 binary64) d) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 M (/.f64 (neg.f64 h) l))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 h (.f64 D (.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M (.f64 (.f64 h D) M)) d) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (/.f64 (.f64 (.f64 M M) D) (*.f64 #s(literal 2 binary64) d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (.f64 (.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 M d) (.f64 D (/.f64 M #s(literal 2 binary64))))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h) (.f64 (*.f64 #s(literal -2 binary64) d) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 d d)) (/.f64 #s(literal -1/4 binary64) l)))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) M) (*.f64 (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64)) M) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) (.f64 (.f64 d d) l)) #s(literal 2 binary64)) (.f64 w0 (-.f64 w0 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))))))) (/.f64 (pow.f64 w0 #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) (.f64 (.f64 d d) l)) #s(literal 2 binary64)) (.f64 w0 (-.f64 w0 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l)))))))))

Outputs

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

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

Calls

15 calls:

47.0ms	(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))))
24.0ms	D
24.0ms	l
23.0ms	d
23.0ms	(/.f64 h l)

Results

Accuracy	Segments	Branch
81.6%	2	`(/.f64 h l)`
81.7%	2	`(*.f64 #s(literal 2 binary64) d)`
78.5%	1	`(*.f64 M D)`
82.0%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
82.0%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
83.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
83.0%	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)))`
83.0%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
83.0%	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)))))`
78.5%	1	`w0`
80.4%	2	`M`
80.3%	2	`D`
82.0%	3	`h`
80.9%	2	`l`
81.7%	2	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes152.0ms (1.3%)

Memory

0.7MiB live, 276.4MiB allocated

Counts

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

Outputs

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

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

Calls

8 calls:

22.0ms	(*.f64 #s(literal 2 binary64) d)
21.0ms	d
21.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
21.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
17.0ms	(-.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
81.7%	2	`(*.f64 #s(literal 2 binary64) d)`
81.7%	2	`d`
78.5%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
78.5%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
78.5%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
78.5%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
78.5%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
78.5%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 82 to 96 computations (-17.1% saved)

regimes805.0ms (6.7%)

Memory

-108.1MiB live, 334.9MiB allocated

Counts

71 → 1

Calls

Call 1

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

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

Calls

8 calls:

628.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
35.0ms	D
24.0ms	(/.f64 h l)
21.0ms	h
21.0ms	l

Results

Accuracy	Segments	Branch
78.5%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
78.5%	1	`D`
78.5%	1	`h`
78.5%	1	`M`
78.5%	1	`l`
78.5%	1	`(/.f64 h l)`
78.5%	1	`(*.f64 #s(literal 2 binary64) d)`
78.5%	1	`d`

Compiler

Compiled 24 to 58 computations (-141.7% saved)

regimes274.0ms (2.3%)

Memory

18.4MiB live, 397.1MiB allocated

Counts

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

Outputs

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

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

Calls

15 calls:

36.0ms	D
26.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
18.0ms	h
17.0ms	M
17.0ms	w0

Results

Accuracy	Segments	Branch
77.6%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
77.6%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
77.6%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
77.6%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
77.6%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
77.6%	1	`M`
77.6%	1	`(/.f64 h l)`
79.3%	2	`(*.f64 #s(literal 2 binary64) d)`
77.6%	1	`(*.f64 M D)`
79.3%	2	`d`
77.6%	1	`w0`
77.6%	1	`D`
77.6%	1	`h`
77.6%	1	`l`
77.6%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes261.0ms (2.2%)

Memory

31.5MiB live, 311.4MiB allocated

Counts

65 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

47.0ms	h
17.0ms	(*.f64 #s(literal 2 binary64) d)
17.0ms	D
16.0ms	(/.f64 h l)
16.0ms	M

Results

Accuracy	Segments	Branch
76.7%	1	`(*.f64 M D)`
76.7%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
78.4%	2	`M`
76.7%	1	`(/.f64 h l)`
76.7%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
76.7%	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)))`
76.7%	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))))`
76.7%	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)))))`
76.7%	1	`h`
76.7%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
76.7%	1	`w0`
76.7%	1	`D`
76.7%	1	`l`
78.9%	2	`(*.f64 #s(literal 2 binary64) d)`
78.9%	2	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes35.0ms (0.3%)

Memory

5.6MiB live, 49.7MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

14.0ms	d
13.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
78.9%	2	`(*.f64 #s(literal 2 binary64) d)`
78.9%	2	`d`

Compiler

Compiled 4 to 14 computations (-250% saved)

regimes52.0ms (0.4%)

Memory

-22.4MiB live, 67.7MiB allocated

Counts

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

Calls

3 calls:

18.0ms	d
18.0ms	M
13.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
78.4%	2	`M`
76.7%	1	`(*.f64 #s(literal 2 binary64) d)`
76.7%	1	`d`

Compiler

Compiled 5 to 20 computations (-300% saved)

regimes15.0ms (0.1%)

Memory

25.2MiB live, 25.2MiB allocated

Counts

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
78.4%	2	`M`

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes207.0ms (1.7%)

Memory

-11.4MiB live, 274.9MiB allocated

Counts

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

Outputs

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

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

Calls

15 calls:

21.0ms	D
17.0ms	M
17.0ms	(*.f64 M D)
17.0ms	h
17.0ms	(.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
73.6%	1	`(*.f64 #s(literal 2 binary64) d)`
77.8%	3	`(*.f64 M D)`
76.1%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
76.1%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
73.6%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
73.6%	1	`d`
73.6%	1	`(/.f64 h l)`
76.6%	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)))`
76.6%	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))))`
73.6%	1	`h`
75.3%	2	`l`
76.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
73.6%	1	`D`
73.6%	1	`w0`
75.5%	2	`M`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes143.0ms (1.2%)

Memory

1.4MiB live, 198.8MiB allocated

Counts

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

Outputs

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

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

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

Calls

15 calls:

16.0ms	h
13.0ms	D
12.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
11.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
9.0ms	M

Results

Accuracy	Segments	Branch
72.1%	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)))))`
68.3%	1	`w0`
68.3%	1	`h`
70.2%	2	`(/.f64 h l)`
68.3%	1	`(*.f64 #s(literal 2 binary64) d)`
71.0%	2	`D`
68.3%	1	`d`
68.3%	1	`l`
71.3%	2	`M`
71.7%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
71.7%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
74.9%	3	`(*.f64 M D)`
73.0%	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)))`
73.0%	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))))`
73.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes15.0ms (0.1%)

Memory

-22.6MiB live, 24.5MiB 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) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 w0 h) (.f64 D D))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 w0 h) (.f64 D D))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 w0 (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 (.f64 (.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 w0 (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 (.f64 (.f64 D D) w0) (.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (.f64 l d))) #s(literal -1/8 binary64) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) #s(approx ( (/ h (* d d)) (/ (* M M) l)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 M (.f64 M (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) 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 #s(literal -1/4 binary64) (.f64 D D)) M) (.f64 h M)) (.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 M) h) (.f64 (.f64 D D) #s(literal -1/4 binary64))) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 #s(literal -1/4 binary64) D)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))

Outputs

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

2 calls:

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

Results

Accuracy	Segments	Branch
73.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
71.1%	2	`(*.f64 M D)`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes16.0ms (0.1%)

Memory

27.5MiB live, 27.5MiB 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) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 w0 h) (.f64 D D))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 w0 h) (.f64 D D))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 w0 (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 (.f64 (.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 w0 (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 (.f64 (.f64 D D) w0) (.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (.f64 l d))) #s(literal -1/8 binary64) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) #s(approx ( (/ h (* d d)) (/ (* M M) l)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))))))))

Outputs

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

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))

5.0ms

(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))))

5.0ms

(-.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
72.2%	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)))`
72.2%	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))))`
72.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 44 to 44 computations (0% saved)

regimes21.0ms (0.2%)

Memory

-13.5MiB live, 33.2MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

5.0ms	(.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)))))
5.0ms	(-.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	(.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
72.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
72.2%	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)))))`
72.1%	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)))`
72.1%	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))))`

Compiler

Compiled 62 to 61 computations (1.6% saved)

regimes3.0ms (0%)

Memory

5.3MiB live, 5.3MiB 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) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 w0 h) (.f64 D D))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))

Outputs

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

(*.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
71.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes19.0ms (0.2%)

Memory

-5.5MiB live, 41.4MiB allocated

Counts

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

Outputs

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

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

Calls

15 calls:

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

Results

Accuracy	Segments	Branch
64.4%	1	`l`
64.4%	1	`w0`
64.4%	1	`(*.f64 #s(literal 2 binary64) d)`
64.4%	1	`h`
64.4%	1	`d`
64.4%	1	`(/.f64 h l)`
69.7%	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)))`
69.7%	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))))`
69.6%	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)))))`
64.4%	1	`D`
67.7%	2	`(*.f64 M D)`
67.9%	2	`M`
69.0%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
68.6%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
69.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes10.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB 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

10 calls:

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 (.f64 M D) (.f64 #s(literal 2 binary64) d))
1.0ms	M
1.0ms	h
1.0ms	D

Results

Accuracy	Segments	Branch
64.4%	1	`D`
64.4%	1	`h`
64.4%	1	`(*.f64 M D)`
64.4%	1	`M`
64.4%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
64.4%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
64.4%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
64.4%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
64.4%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
64.4%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 84 to 107 computations (-27.4% saved)

bsearch3.0ms (0%)

Memory

-48.0MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.041436906951480126	0.7953057968271983

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch6.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	7.132826857625442e-199	1.3715524974694438e-196

Samples

3.0ms	32×	0	valid
0.0ms	5×	0	invalid

Compiler

Compiled 119 to 114 computations (4.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (43.6% of total)

ival-mult: 1.0ms (43.6% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

exact: 0.0ms (0% of total)

ival-pow2: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory

33.1MiB live, 33.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	3.260301257827225e-179	1.926729828288753e-175

Samples

12.0ms	128×	0	valid
2.0ms	26×	0	invalid

Compiler

Compiled 373 to 338 computations (9.4% saved)

Precisions

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

ival-mult: 4.0ms (42.4% of total)

ival-div: 2.0ms (21.2% of total)

ival-pow2: 2.0ms (21.2% of total)

ival-sub: 1.0ms (10.6% of total)

ival-sqrt: 1.0ms (10.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Memory

-15.9MiB live, 30.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	3.260301257827225e-179	1.926729828288753e-175

Samples

10.0ms	112×	0	valid
3.0ms	28×	0	invalid

Compiler

Compiled 373 to 338 computations (9.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (35.4% of total)

ival-div: 2.0ms (23.6% of total)

ival-sub: 1.0ms (11.8% of total)

ival-sqrt: 1.0ms (11.8% of total)

ival-pow2: 1.0ms (11.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.260301257827225e-179	1.926729828288753e-175

Compiler

Compiled 373 to 338 computations (9.4% saved)

bsearch16.0ms (0.1%)

Memory

-25.2MiB live, 21.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.1788248426597118e-244	1.7012192808543014e-243

Samples

9.0ms	96×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 279 to 272 computations (2.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (33.9% of total)

ival-div: 1.0ms (17% of total)

ival-sqrt: 1.0ms (17% of total)

ival-pow2: 1.0ms (17% of total)

adjust: 0.0ms (0% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1788248426597118e-244	1.7012192808543014e-243

Compiler

Compiled 273 to 266 computations (2.6% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-34573078071165526000.0	-2523423.456191845

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.400232968124562e+131	2.109962329021521e+132
0.0ms	1.6047737397023196e-152	4.984684911933234e-151

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-34573078071165526000.0	-2523423.456191845

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.8140729741466203e+109	4.3744624155583095e+109

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.54133419019386e+64	-4.467751130016775e+61

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.54133419019386e+64	-4.467751130016775e+61

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.9135921425132238e+219	-7.919006703822405e+218

Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify60.0ms (0.5%)

Memory

24.6MiB live, 70.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	995
1	290	995
2	728	994
3	5507	994

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l)))))) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 d #s(literal 2693189581592767/2693189581592767235707386820034625876761773979045465016063119822371190863000105380922197266574125287028215280054363247469065949312094107577921441162573762995177074519617763634274131844036773231242902144888720064512 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))))) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 d #s(literal 6934909738785737/72999049881955123498258745691204661198291656115976958889267080286388402675338838184094604981077942396458276953177510516971019275542007007972042581115555427012031914789764239201325987075945660416 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (.f64 D (/.f64 M d)) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 h (.f64 D (.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 d #s(literal 3386186395891473/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (.f64 D (/.f64 M d)) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(if (<=.f64 d #s(literal 3386186395891473/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d)) (.f64 D (/.f64 M d)) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 5573580493704609/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488 binary64)) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 5573580493704609/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488 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 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #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 -20000000000000000000 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 h M) d) (/.f64 M (.f64 d l))))))) (.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 4717453031026927/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 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 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64))))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (.f64 l d))) #s(literal -1/8 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 -20000000000000000000 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 M (.f64 M (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) 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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #s(literal 39999999999999999274034828753599231458870603857312684991833593479596290217520213192823213697572550705053433856 binary64)) (.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) D) 2) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (.f64 l d))) #s(literal -1/8 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 -49999999999999999604519313141816925411378060847115227682784149504 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) w0)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -49999999999999999604519313141816925411378060847115227682784149504 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -999999999999999965084388885482519417592855130626093842171043595190833186399051537317196816706799625297221478016185520727674168639944850288849622355474122345476546392575499689981548348018063279122228410984187505225498624 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l)))))) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #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 3602879701896397/72057594037927936 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l)))))) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (neg.f64 M) d) (.f64 (.f64 D M) h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 d #s(literal 2693189581592767/2693189581592767235707386820034625876761773979045465016063119822371190863000105380922197266574125287028215280054363247469065949312094107577921441162573762995177074519617763634274131844036773231242902144888720064512 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))))) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 d #s(literal 2693189581592767/2693189581592767235707386820034625876761773979045465016063119822371190863000105380922197266574125287028215280054363247469065949312094107577921441162573762995177074519617763634274131844036773231242902144888720064512 binary64)) (.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 M D)) (.f64 #s(literal -2 binary64) d))))) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (neg.f64 M) d) (.f64 (.f64 D M) h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))))
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(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -49999999999999999604519313141816925411378060847115227682784149504 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -999999999999999965084388885482519417592855130626093842171043595190833186399051537317196816706799625297221478016185520727674168639944850288849622355474122345476546392575499689981548348018063279122228410984187505225498624 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64)))) (.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)))

derivations1.3s (11.1%)

Memory

8.7MiB live, 1 035.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	489
0	100	489
1	329	476
2	2523	468
0	8266	462
0	17	69
0	26	69
1	75	69
2	410	69
3	7218	69
0	8457	66
0	81	559
0	125	563
1	411	551
2	3086	527
0	8439	519
0	626	4390
1	2407	4334
0	9499	4188
0	1132	9218
1	4398	9074
0	8486	8771
0	1098	8971
1	4280	8827
0	8285	8531
0	53	387
0	89	369
1	265	369
2	1700	369
0	8320	358

Stop Event

1×	fuel
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
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

Compiler

Compiled 994 to 201 computations (79.8% saved)

preprocess287.0ms (2.4%)

Memory

38.9MiB live, 372.8MiB allocated

Remove

(negabs w0)

(abs D)

(abs d)

Compiler

Compiled 3 816 to 1 472 computations (61.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze641.0ms (5.4%)

sample2.2s (18.7%)

explain249.0ms (2.1%)

preprocess147.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify117.0ms (1%)

localize78.0ms (0.6%)

series78.0ms (0.7%)

simplify186.0ms (1.6%)

rewrite130.0ms (1.1%)

eval168.0ms (1.4%)

prune31.0ms (0.3%)

simplify103.0ms (0.9%)

localize205.0ms (1.7%)

series169.0ms (1.4%)

simplify230.0ms (1.9%)

rewrite212.0ms (1.8%)

eval195.0ms (1.6%)

prune39.0ms (0.3%)

simplify111.0ms (0.9%)

localize254.0ms (2.1%)

series159.0ms (1.3%)

simplify441.0ms (3.7%)

rewrite280.0ms (2.3%)

eval139.0ms (1.2%)

prune47.0ms (0.4%)

simplify108.0ms (0.9%)

localize259.0ms (2.2%)

series149.0ms (1.2%)

simplify214.0ms (1.8%)

rewrite177.0ms (1.5%)

eval133.0ms (1.1%)

prune120.0ms (1%)

regimes364.0ms (3.1%)

regimes152.0ms (1.3%)

regimes805.0ms (6.7%)

regimes274.0ms (2.3%)

regimes261.0ms (2.2%)

regimes35.0ms (0.3%)

regimes52.0ms (0.4%)

regimes15.0ms (0.1%)

regimes207.0ms (1.7%)

regimes143.0ms (1.2%)

regimes15.0ms (0.1%)

regimes16.0ms (0.1%)

regimes21.0ms (0.2%)

regimes3.0ms (0%)

regimes19.0ms (0.2%)

regimes10.0ms (0.1%)

bsearch3.0ms (0%)

bsearch6.0ms (0.1%)

bsearch23.0ms (0.2%)

bsearch22.0ms (0.2%)

bsearch2.0ms (0%)

bsearch16.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify60.0ms (0.5%)

derivations1.3s (11.1%)

preprocess287.0ms (2.4%)

end0.0ms (0%)

Profiling