Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze517.0ms (3.3%)

Memory

-10.0MiB live, 869.7MiB 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)

sample3.2s (20.5%)

Memory

-187.6MiB live, 2 256.6MiB allocated

Samples

1.6s	8 256×	0	valid
616.0ms	2 779×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 806.0ms (51.4% of total)

ival-div: 296.0ms (18.9% of total)

ival-pow2: 259.0ms (16.5% of total)

ival-sqrt: 108.0ms (6.9% of total)

ival-sub: 71.0ms (4.5% of total)

exact: 12.0ms (0.8% of total)

ival-true: 10.0ms (0.6% of total)

ival-assert: 5.0ms (0.3% of total)

Bogosity

explain328.0ms (2.1%)

Memory

-4.2MiB live, 360.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
55	-	1	(2.8998905345486666e-187 2.618420026492792e-123 7.563473721649804e-30 2.1261488205664047e+228 4.209364879417556e+41 -1997.115987097102)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
34	-	3	(1.1359891585409967e+76 -2.50335667682827e-222 2.4025330852246945e-99 1.829015482750901e+258 -7.110138092139188e+192 2.0434861880464333e-181)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
26	-	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))))`
6	-	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	26	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	48
↳	`(-.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	55
↳	`(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	29
↳	`(*.f64 M D)`	overflow	22
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	26
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	55
↳	`(/.f64 h l)`	overflow	43
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	10	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	10	0
↳	`(*.f64 M D)`	overflow	22
`*.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**	6	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	109
↳	`(*.f64 M D)`	underflow	50
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	49
↳	`(/.f64 h l)`	overflow	43
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	48
↳	`(*.f64 M D)`	overflow	22
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	26
↳	`(/.f64 h l)`	underflow	28

Confusion

	Predicted +	Predicted -
+	46	22
-	6	182

Precision

0.8846153846153846

Recall

0.6764705882352942

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	46	0	22
-	6	0	182

Precision?

0.8846153846153846

Recall?

0.6764705882352942

Freqs

test

number	freq
0	204
1	46
2	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

81.0ms

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: 18.0ms (46.3% of total)

ival-div: 8.0ms (20.6% of total)

ival-pow2: 5.0ms (12.9% of total)

ival-sqrt: 4.0ms (10.3% of total)

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

ival-true: 1.0ms (2.6% of total)

exact: 1.0ms (2.6% of total)

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

preprocess141.0ms (0.9%)

Memory

7.7MiB live, 242.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 6 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.1%	(.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)))))

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify97.0ms (0.6%)

Memory

6.9MiB live, 165.8MiB 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	115	95
3	826	95
4	4554	95
5	7862	95
0	8022	95

Stop Event

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

Calls

Call 1

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

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

localize46.0ms (0.3%)

Memory

20.0MiB live, 103.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.4768963269123665	(.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	6.0931625222342625	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy	7.683888407139573	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	12.717674705106896	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

36.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 14.0ms (58.2% of total)

ival-div: 3.0ms (12.5% of total)

ival-pow2: 3.0ms (12.5% of total)

ival-sub: 2.0ms (8.3% of total)

ival-sqrt: 2.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

series86.0ms (0.6%)

Memory

-15.7MiB live, 183.6MiB allocated

Counts

5 → 288

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
15.0ms	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)))
7.0ms	l	@	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)))
5.0ms	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	w0	@	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)))
5.0ms	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)))

simplify182.0ms (1.2%)

Memory

-0.5MiB live, 355.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	626	7690
1	2185	7668
0	8475	7462

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 281

Calls

Call 1

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

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

rewrite164.0ms (1.1%)

Memory

16.3MiB live, 259.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
0	26	69
1	82	69
2	550	69
3	7047	69
0	8635	69

Stop Event

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

Counts

5 → 411

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
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eval91.0ms (0.6%)

Memory: 6.3MiB live, 239.0MiB allocated
Compiler: Compiled 20 475 to 2 864 computations (86% saved)

prune43.0ms (0.3%)

Memory

-20.5MiB live, 141.3MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	672	20	692
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	672	21	693

Accuracy

89.6%

Counts

693 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.7%	(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
	74.8%	(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d 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 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
	83.9%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) l) (neg.f64 h) #s(literal 1 binary64))))
	86.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
	70.7%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
	71.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
▶	75.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
	71.1%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
	86.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
	72.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64))))
✓	74.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
▶	88.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64)))))))
▶	71.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (/.f64 D d) (/.f64 l h))))))
▶	64.1%	(.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 l (.f64 d d))) #s(literal 1 binary64)))))
	57.0%	(.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 h (.f64 M M)) l)) (.f64 d d))))))
	14.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
	74.4%	(.f64 w0 (exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
	55.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
▶	66.8%	(.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) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0))
	20.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (-.f64 w0 (/.f64 (fma.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)))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 h w0) d) (/.f64 (.f64 M M) d)))) l)))

Compiler

Compiled 972 to 799 computations (17.8% saved)

simplify94.0ms (0.6%)

Memory

1.8MiB live, 196.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (/.f64 D d) (/.f64 l h)))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (/.f64 D d) (/.f64 l h))))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (/.f64 D d) (/.f64 l h))))
cost-diff	384	(/.f64 (/.f64 D d) (/.f64 l h))
cost-diff	0	(.f64 (/.f64 h l) (/.f64 (.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
cost-diff	320	(fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))
cost-diff	0	#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 l (.f64 d d))) #s(literal 1 binary64)))
cost-diff	0	(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 l (.f64 d d))) #s(literal 1 binary64))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64)))))
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 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64)))))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64)))))
cost-diff	320	(.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))))
cost-diff	6848	(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	585
0	101	615
1	207	615
2	683	579
3	4564	555
0	8166	555

Stop Event

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

Calls

Call 1

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

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

localize173.0ms (1.1%)

Memory

3.8MiB live, 457.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	6.0931625222342625	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (/.f64 D d) (/.f64 l h)))))
accuracy	8.122323544641686	(/.f64 (/.f64 D d) (/.f64 l h))
accuracy	8.648376400647818	(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
accuracy	9.743484192541908	(.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (/.f64 D d) (/.f64 l h)))
accuracy	6.0931625222342625	(sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
accuracy	6.093409442259748	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	7.695091253150679	(/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)
accuracy	10.18606808800471	(.f64 (/.f64 h l) (/.f64 (.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
accuracy	6.0931625222342625	(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 l (.f64 d d))) #s(literal 1 binary64))))
accuracy	6.375816084113313	(.f64 (.f64 M M) D)
accuracy	9.021488686644288	(.f64 l (.f64 d d))
accuracy	13.83640612803793	(/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (*.f64 d d)))
accuracy	1.4768963269123665	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	21.382129734762803	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	3.7612533531909356	(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64)))
accuracy	5.6950128390693635	(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)
accuracy	6.0931625222342625	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))))))
accuracy	6.093409442259748	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)

Samples

116.0ms

256×

valid

Compiler

Compiled 530 to 60 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 35.0ms (47.5% of total)

ival-div: 18.0ms (24.4% of total)

ival-sqrt: 7.0ms (9.5% of total)

ival-pow: 5.0ms (6.8% of total)

ival-sub: 3.0ms (4.1% of total)

ival-add: 2.0ms (2.7% of total)

ival-pow2: 2.0ms (2.7% of total)

exact: 1.0ms (1.4% of total)

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

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

series273.0ms (1.8%)

Memory

-13.8MiB live, 622.4MiB allocated

Counts

27 → 1 488

Calls

Call 1

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

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

Calls

18 calls:

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

simplify292.0ms (1.9%)

Memory

32.1MiB live, 580.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	658	37628
1	2281	37350
0	8178	36260

Stop Event

1×	iter limit
1×	node limit

Counts

1 488 → 1 453

Calls

Call 1

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

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

rewrite173.0ms (1.1%)

Memory

10.9MiB live, 280.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	482
0	101	482
1	341	417
2	2824	407
0	9237	407

Stop Event

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

Counts

27 → 882

Calls

Call 1

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

Outputs
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eval368.0ms (2.4%)

Memory: 11.2MiB live, 686.4MiB allocated
Compiler: Compiled 76 352 to 4 892 computations (93.6% saved)

prune112.0ms (0.7%)

Memory

-16.7MiB live, 216.1MiB allocated

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	2 522	23	2 545
Fresh	11	4	15
Picked	4	1	5
Done	1	0	1
Total	2 538	28	2 566

Accuracy

89.6%

Counts

2 566 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.8%	(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d 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 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
	45.7%	(.f64 w0 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)))))
	86.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) d) l) (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))))
	79.2%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) h) (.f64 l d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
▶	88.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64))))
	71.5%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D (neg.f64 d)) (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) (/.f64 h l)) #s(literal 1 binary64))))
	75.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal 1 binary64))))
	77.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) M) d))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
	68.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (*.f64 M M) D) d) #s(literal -1/4 binary64)) (/.f64 D d)) (/.f64 h l) #s(literal 1 binary64))))
	72.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64))))
	61.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D) D) (.f64 d (*.f64 (/.f64 l h) d))))))
▶	88.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (/.f64 l (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))))))
	85.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 d D)) (pow.f64 h #s(literal -1 binary64)))))))
	43.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (.f64 (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 D M)) #s(literal -1 binary64)))))))
	69.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (.f64 D h) (*.f64 l d))))))
▶	68.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 M M) D) l) (.f64 (/.f64 (/.f64 D d) d) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
	68.1%	(.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 l d) d)) #s(literal 1 binary64)))))
	65.7%	(.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 D M) M) D) (.f64 l (.f64 d d))) #s(literal 1 binary64)))))
	56.4%	(.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 D D) M) M) (.f64 l (.f64 d d))) #s(literal 1 binary64)))))
	75.2%	(.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) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))))
▶	62.2%	(.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 M M) (.f64 l d)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))))
	72.8%	(.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 M M) (.f64 D (/.f64 (/.f64 (/.f64 D d) l) d))) #s(literal 1 binary64)))))
	14.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
	84.2%	(.f64 w0 (exp.f64 (.f64 (log1p.f64 (/.f64 (.f64 (pow.f64 (.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) h) (neg.f64 l))) #s(literal 1/2 binary64))))
	55.0%	(.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))))
✓	66.8%	(.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) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0))
	20.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (-.f64 w0 (/.f64 (fma.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)))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 h w0) d) (/.f64 (.f64 M M) d)))) l)))

Compiler

Compiled 1 332 to 1 079 computations (19% saved)

simplify126.0ms (0.8%)

Memory

2.4MiB live, 115.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	691
0	107	691
1	222	691
2	718	684
3	4456	684
4	7842	684
0	8038	684

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (1.1%)

Memory

-18.7MiB live, 324.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.714382377130774	(.f64 h (.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))
accuracy	5.6950128390693635	(/.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) l)
accuracy	6.0931625222342625	(sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (neg.f64 (.f64 h (.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64)))
accuracy	6.093409442259748	(.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))
accuracy	6.0931625222342625	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 M M) D) l) (.f64 (/.f64 (/.f64 D d) d) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))
accuracy	6.375816084113313	(.f64 (.f64 M M) D)
accuracy	8.239859153212969	(.f64 (/.f64 (/.f64 D d) d) (.f64 #s(literal -1/4 binary64) h))
accuracy	9.666117510121815	(fma.f64 (/.f64 (.f64 (.f64 M M) D) l) (.f64 (/.f64 (/.f64 D d) d) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))
accuracy	6.0931625222342625	(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 M M) (.f64 l d)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))
accuracy	9.351489587206775	(/.f64 (*.f64 D D) d)
accuracy	9.715282968433987	(/.f64 (.f64 M M) (.f64 l d))
accuracy	10.397120881841433	(.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 (.f64 D D) d))
accuracy	10.511716171316692	(.f64 h (.f64 M M))
accuracy	12.223892242163329	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0)
accuracy	12.928713088130278	(.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d)))
accuracy	14.090857467866245	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0))
accuracy	3.714382377130774	(.f64 h (.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))
accuracy	5.624416177595839	(/.f64 l (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))
accuracy	6.0931625222342625	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (/.f64 l (.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))))))
accuracy	6.093409442259748	(.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))

Samples

128.0ms

256×

valid

Compiler

Compiled 564 to 62 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 51.0ms (55.9% of total)

ival-div: 23.0ms (25.2% of total)

ival-add: 5.0ms (5.5% of total)

ival-sqrt: 5.0ms (5.5% of total)

ival-pow2: 3.0ms (3.3% of total)

ival-sub: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

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

series201.0ms (1.3%)

Memory

25.6MiB live, 297.9MiB allocated

Counts

31 → 1 596

Calls

Call 1

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

Outputs
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (/.f64 l (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))))))) (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (/.f64 l (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (/.f64 l (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))))))) (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (/.f64 l (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (/.f64 l (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))))))) (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (/.f64 l (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (/.f64 l (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))))))) (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (/.f64 l (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0)) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0)) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0)) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0)) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0) (patch (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0) (patch (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0) (patch (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0) (patch (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 (.f64 D D) d)) #s(literal 1 binary64))))) (patch (.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 M M) (.f64 l d)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 (.f64 D D) d)) #s(literal 1 binary64))))) (patch (.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 M M) (.f64 l d)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 (.f64 D D) d)) #s(literal 1 binary64))))) (patch (.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 M M) (.f64 l d)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 (.f64 D D) d)) #s(literal 1 binary64))))) (patch (.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 M M) (.f64 l d)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (/.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (patch (/.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (/.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (patch (/.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) #<representation binary64>) () ())) ())

Calls

18 calls:

Time	Variable		Point	Expression
21.0ms	D	@	inf	((/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))) (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d)))))) (* w0 (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d)))))))) (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* 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))) (+ (* (* h -1/4) (* (/ (* M M) (* l d)) (/ (* D D) d))) 1) (* 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) D) l) (* (/ (/ D d) d) (* -1/4 h))) 1) (neg (* h (* D (* M (/ 1/2 d))))) (* w0 (sqrt (+ (* (/ (* D (* M (/ 1/2 d))) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1))) (sqrt (+ (* (/ (* D (* M (/ 1/2 d))) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1)) (+ (* (/ (* D (* M (/ 1/2 d))) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1) (* D (* M (/ 1/2 d))) (/ l (* D (* M (/ 1/2 d)))) (* h (* D (* M (/ 1/2 d)))) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (* h (* M M)) (* (/ (* M M) (* l d)) (/ (* D D) d)) (/ (* M M) (* l d)) (/ (* D D) d) (* (/ (/ D d) d) (* -1/4 h)) (* (* M M) D) (/ (* D (* M (/ 1/2 d))) l))
6.0ms	d	@	inf	((/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))) (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d)))))) (* w0 (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d)))))))) (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* 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))) (+ (* (* h -1/4) (* (/ (* M M) (* l d)) (/ (* D D) d))) 1) (* 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) D) l) (* (/ (/ D d) d) (* -1/4 h))) 1) (neg (* h (* D (* M (/ 1/2 d))))) (* w0 (sqrt (+ (* (/ (* D (* M (/ 1/2 d))) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1))) (sqrt (+ (* (/ (* D (* M (/ 1/2 d))) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1)) (+ (* (/ (* D (* M (/ 1/2 d))) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1) (* D (* M (/ 1/2 d))) (/ l (* D (* M (/ 1/2 d)))) (* h (* D (* M (/ 1/2 d)))) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (* h (* M M)) (* (/ (* M M) (* l d)) (/ (* D D) d)) (/ (* M M) (* l d)) (/ (* D D) d) (* (/ (/ D d) d) (* -1/4 h)) (* (* M M) D) (/ (* D (* M (/ 1/2 d))) l))
6.0ms	d	@	0	((/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))) (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d)))))) (* w0 (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d)))))))) (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* 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))) (+ (* (* h -1/4) (* (/ (* M M) (* l d)) (/ (* D D) d))) 1) (* 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) D) l) (* (/ (/ D d) d) (* -1/4 h))) 1) (neg (* h (* D (* M (/ 1/2 d))))) (* w0 (sqrt (+ (* (/ (* D (* M (/ 1/2 d))) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1))) (sqrt (+ (* (/ (* D (* M (/ 1/2 d))) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1)) (+ (* (/ (* D (* M (/ 1/2 d))) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1) (* D (* M (/ 1/2 d))) (/ l (* D (* M (/ 1/2 d)))) (* h (* D (* M (/ 1/2 d)))) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (* h (* M M)) (* (/ (* M M) (* l d)) (/ (* D D) d)) (/ (* M M) (* l d)) (/ (* D D) d) (* (/ (/ D d) d) (* -1/4 h)) (* (* M M) D) (/ (* D (* M (/ 1/2 d))) l))
6.0ms	h	@	inf	((/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))) (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d)))))) (* w0 (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d)))))))) (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* 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))) (+ (* (* h -1/4) (* (/ (* M M) (* l d)) (/ (* D D) d))) 1) (* 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) D) l) (* (/ (/ D d) d) (* -1/4 h))) 1) (neg (* h (* D (* M (/ 1/2 d))))) (* w0 (sqrt (+ (* (/ (* D (* M (/ 1/2 d))) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1))) (sqrt (+ (* (/ (* D (* M (/ 1/2 d))) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1)) (+ (* (/ (* D (* M (/ 1/2 d))) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1) (* D (* M (/ 1/2 d))) (/ l (* D (* M (/ 1/2 d)))) (* h (* D (* M (/ 1/2 d)))) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (* h (* M M)) (* (/ (* M M) (* l d)) (/ (* D D) d)) (/ (* M M) (* l d)) (/ (* D D) d) (* (/ (/ D d) d) (* -1/4 h)) (* (* M M) D) (/ (* D (* M (/ 1/2 d))) l))
6.0ms	D	@	0	((/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))) (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d)))))) (* w0 (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d)))))))) (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* 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))) (+ (* (* h -1/4) (* (/ (* M M) (* l d)) (/ (* D D) d))) 1) (* 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) D) l) (* (/ (/ D d) d) (* -1/4 h))) 1) (neg (* h (* D (* M (/ 1/2 d))))) (* w0 (sqrt (+ (* (/ (* D (* M (/ 1/2 d))) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1))) (sqrt (+ (* (/ (* D (* M (/ 1/2 d))) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1)) (+ (* (/ (* D (* M (/ 1/2 d))) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1) (* D (* M (/ 1/2 d))) (/ l (* D (* M (/ 1/2 d)))) (* h (* D (* M (/ 1/2 d)))) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (* h (* M M)) (* (/ (* M M) (* l d)) (/ (* D D) d)) (/ (* M M) (* l d)) (/ (* D D) d) (* (/ (/ D d) d) (* -1/4 h)) (* (* M M) D) (/ (* D (* M (/ 1/2 d))) l))

simplify290.0ms (1.9%)

Memory

-6.7MiB live, 382.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	687	37437
1	2368	37221
0	8516	36099

Stop Event

1×	iter limit
1×	node limit

Counts

1 596 → 1 554

Calls

Call 1

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

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

rewrite176.0ms (1.1%)

Memory

12.5MiB live, 245.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	569
0	107	569
1	379	509
2	3025	509
0	8145	509

Stop Event

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

Counts

31 → 1 000

Calls

Call 1

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

Outputs
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eval388.0ms (2.5%)

Memory: 30.9MiB live, 583.8MiB allocated
Compiler: Compiled 86 389 to 6 586 computations (92.4% saved)

prune127.0ms (0.8%)

Memory

34.6MiB live, 278.4MiB allocated

Pruning

38 alts after pruning (36 fresh and 2 done)

	Pruned	Kept	Total
New	2 955	22	2 977
Fresh	8	14	22
Picked	4	1	5
Done	0	1	1
Total	2 967	38	3 005

Accuracy

90.0%

Counts

3 005 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.8%	(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d 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 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
	45.7%	(.f64 w0 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) #s(literal 1 binary64)))))
	86.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) d) l) (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))))
▶	88.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (neg.f64 (.f64 h (.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64))))
	79.2%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) h) (.f64 l d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
	71.5%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D (neg.f64 d)) (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) (/.f64 h l)) #s(literal 1 binary64))))
	75.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal 1 binary64))))
	68.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (*.f64 M M) D) d) #s(literal -1/4 binary64)) (/.f64 D d)) (/.f64 h l) #s(literal 1 binary64))))
	79.5%	(.f64 w0 (sqrt.f64 (fma.f64 D (.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) l) (.f64 (.f64 (neg.f64 h) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64))))
	61.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D) D) (.f64 d (*.f64 (/.f64 l h) d))))))
✓	88.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (/.f64 l (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))))))
	69.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (.f64 D h) (*.f64 l d))))))
	66.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 M M) D) l) #s(approx (* (/ (/ D d) d) (* -1/4 h)) (.f64 (.f64 #s(literal -1/4 binary64) D) (/.f64 h (*.f64 d d)))) #s(literal 1 binary64)))))
	70.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 M D) M) l) (.f64 (/.f64 (/.f64 D d) d) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
▶	64.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M)) (/.f64 D l) #s(literal 1 binary64)))))
	68.1%	(.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 l d) d)) #s(literal 1 binary64)))))
	65.7%	(.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 D M) M) D) (.f64 l (.f64 d d))) #s(literal 1 binary64)))))
	56.4%	(.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 D D) M) M) (.f64 l (.f64 d d))) #s(literal 1 binary64)))))
	75.2%	(.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) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))))
	70.8%	(.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 M M) (.f64 l d)) (*.f64 (/.f64 D d) D)) #s(literal 1 binary64)))))
	81.0%	(.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 (/.f64 M d) l) M) D) (/.f64 D d)) #s(literal 1 binary64)))))
	14.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
	84.2%	(.f64 w0 (exp.f64 (.f64 (log1p.f64 (/.f64 (.f64 (pow.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) h) (neg.f64 l))) #s(literal 1/2 binary64))))
▶	59.1%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1 binary64))))
✓	66.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	49.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0))
	62.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 w0 (.f64 d d)) h) (.f64 M (/.f64 M l))) D) (.f64 #s(literal -1/8 binary64) D) w0))
	63.7%	#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 (.f64 (*.f64 M M) h) l) w0) d) d) w0))
	55.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) w0) (.f64 d d)) w0))
	59.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (.f64 M h) (neg.f64 M))) (.f64 (neg.f64 d) l)) w0))
	58.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (.f64 M M) h)) (.f64 l d)) w0))
	53.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) (neg.f64 M)) w0) (.f64 (neg.f64 l) (*.f64 d d))) w0))
	56.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (*.f64 l d) d)) w0))
	53.9%	#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 M h) (.f64 M (/.f64 w0 (.f64 d d)))) l) w0))
▶	53.9%	#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 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
	63.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (.f64 d d))) (/.f64 (.f64 (.f64 M M) h) l))) w0))
	20.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (-.f64 w0 (/.f64 (fma.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)))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 h w0) d) (/.f64 (.f64 M M) d)))) l)))
	13.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) l))))

Compiler

Compiled 1 702 to 1 398 computations (17.9% saved)

simplify251.0ms (1.6%)

Memory

-51.3MiB live, 115.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	676
0	128	676
1	265	676
2	858	672
3	3273	672
4	6479	668
0	8127	668

Stop Event

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

Calls

Call 1

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

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

localize203.0ms (1.3%)

Memory

-10.1MiB live, 256.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.53851861942483	(fma.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M)) (/.f64 D l) #s(literal 1 binary64))
accuracy	6.0931625222342625	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M)) (/.f64 D l) #s(literal 1 binary64))))
accuracy	8.271434623667425	(*.f64 (/.f64 (/.f64 D d) d) h)
accuracy	15.98011561413568	(.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M))
accuracy	7.888590809473306	(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1 binary64))
accuracy	9.351489587206775	(/.f64 (*.f64 D D) d)
accuracy	10.511716171316692	(.f64 h (.f64 M M))
accuracy	14.028361494516718	#s(approx (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1 binary64)))
accuracy	8.87466980558865	(/.f64 w0 (*.f64 d d))
accuracy	13.248820819083061	(.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (*.f64 M (/.f64 M l)))
accuracy	14.090857467866245	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0))
accuracy	14.212920240704095	(fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0)
accuracy	10.511716171316692	(.f64 (.f64 M M) h)
accuracy	12.223892242163329	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0)
accuracy	12.706574097472677	(.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d)))
accuracy	14.090857467866245	#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 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
accuracy	5.6950128390693635	(/.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l)
accuracy	6.076043441967172	(*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64)))
accuracy	6.0931625222342625	(sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64)))
accuracy	6.093409442259748	(.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))

Samples

153.0ms

256×

valid

Compiler

Compiled 548 to 74 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 53.0ms (53.9% of total)

ival-div: 27.0ms (27.5% of total)

ival-add: 6.0ms (6.1% of total)

ival-sqrt: 5.0ms (5.1% of total)

ival-pow2: 3.0ms (3.1% of total)

ival-sub: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

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

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

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

series179.0ms (1.1%)

Memory

28.6MiB live, 304.4MiB allocated

Counts

30 → 1 440

Calls

Call 1

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

Outputs
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #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 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) w0)) (patch #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0)) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #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 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) w0)) (patch #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0)) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #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 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) w0)) (patch #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0)) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #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 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) w0)) (patch #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0)) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) w0) (patch (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) w0) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) w0) (patch (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) w0) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) w0) (patch (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) w0) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) w0) (patch (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) w0) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0)) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0)) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0)) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0)) #<representation binary64>) () ())) ())
#s(alt (/ w0 (pow d 2)) (taylor 0 w0) (#s(alt (/.f64 w0 (.f64 d d)) (patch (/.f64 w0 (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ w0 (pow d 2)) (taylor 0 w0) (#s(alt (/.f64 w0 (.f64 d d)) (patch (/.f64 w0 (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ w0 (pow d 2)) (taylor 0 w0) (#s(alt (/.f64 w0 (.f64 d d)) (patch (/.f64 w0 (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ w0 (pow d 2)) (taylor 0 w0) (#s(alt (/.f64 w0 (.f64 d d)) (patch (/.f64 w0 (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1 binary64)))) (patch (.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1 binary64)))) (patch (.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1 binary64)))) (patch (.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1 binary64)))) (patch (.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (fma.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M)) (/.f64 D l) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M)) (/.f64 D l) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (fma.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M)) (/.f64 D l) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M)) (/.f64 D l) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (patch (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (patch (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (patch (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (patch (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (patch (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (patch (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (patch (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (patch (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (patch (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (patch (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (patch (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (patch (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) (patch (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) (patch (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) (patch (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) (patch (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (.f64 l d) d))) #<representation binary64>) () ())) ())
#s(alt w0 (taylor -inf d) (#s(alt (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0) (patch (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0) #<representation binary64>) () ())) ())
#s(alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0) (patch (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0) #<representation binary64>) () ())) ())
#s(alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0) (patch (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0) #<representation binary64>) () ())) ())
#s(alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0) (patch (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0) #<representation binary64>) () ())) ())
#s(alt (/ (pow D 2) d) (taylor -inf d) (#s(alt (/.f64 (.f64 D D) d) (patch (/.f64 (.f64 D D) d) #<representation binary64>) () ())) ())
#s(alt (/ (pow D 2) d) (taylor -inf d) (#s(alt (/.f64 (.f64 D D) d) (patch (/.f64 (.f64 D D) d) #<representation binary64>) () ())) ())
#s(alt (/ (pow D 2) d) (taylor -inf d) (#s(alt (/.f64 (.f64 D D) d) (patch (/.f64 (.f64 D D) d) #<representation binary64>) () ())) ())
#s(alt (/ (pow D 2) d) (taylor -inf d) (#s(alt (/.f64 (.f64 D D) d) (patch (/.f64 (.f64 D D) d) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (pow d 2))) (taylor -inf d) (#s(alt (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M)) (patch (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (pow d 2))) (taylor -inf d) (#s(alt (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M)) (patch (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (pow d 2))) (taylor -inf d) (#s(alt (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M)) (patch (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (pow d 2))) (taylor -inf d) (#s(alt (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M)) (patch (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (pow d 2)) (taylor -inf d) (#s(alt (.f64 (/.f64 (/.f64 D d) d) h) (patch (.f64 (/.f64 (/.f64 D d) d) h) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (pow d 2)) (taylor -inf d) (#s(alt (.f64 (/.f64 (/.f64 D d) d) h) (patch (.f64 (/.f64 (/.f64 D d) d) h) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (pow d 2)) (taylor -inf d) (#s(alt (.f64 (/.f64 (/.f64 D d) d) h) (patch (.f64 (/.f64 (/.f64 D d) d) h) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (pow d 2)) (taylor -inf d) (#s(alt (.f64 (/.f64 (/.f64 D d) d) h) (patch (.f64 (/.f64 (/.f64 D d) d) h) #<representation binary64>) () ())) ())

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	w0	@	-inf	((neg (* h (* D (* M (/ 1/2 d))))) (* w0 (sqrt (+ (* (/ (* (/ M d) (/ D 2)) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1))) (sqrt (+ (* (/ (* (/ M d) (/ D 2)) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1)) (+ (* (/ (* (/ M d) (/ D 2)) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* l d) d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ w0 (* d d)) (* d d) (* (* (* -1/8 (* D D)) h) (* M (/ M l))) (* w0 (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d)))))))) (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (+ (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* h (* M M)) l)) 1) (* -1/8 (/ (/ (* D D) d) d)) (* 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))) (+ (* (* (* (* (/ (/ D d) d) h) -1/4) (* M M)) (/ D l)) 1) (* D (* M (/ 1/2 d))) (* (/ M d) (/ D 2)) (/ (* (/ M d) (/ D 2)) l) (* (* (* M M) h) (/ w0 (* (* l d) d))) (* (* M M) h) (+ (* (/ w0 (* d d)) (* (* (* -1/8 (* D D)) h) (* M (/ M l)))) w0) (* h (* M M)) (/ (* D D) d) (* (* (* (/ (/ D d) d) h) -1/4) (* M M)) (* (/ (/ D d) d) h))
7.0ms	D	@	-inf	((neg (* h (* D (* M (/ 1/2 d))))) (* w0 (sqrt (+ (* (/ (* (/ M d) (/ D 2)) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1))) (sqrt (+ (* (/ (* (/ M d) (/ D 2)) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1)) (+ (* (/ (* (/ M d) (/ D 2)) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* l d) d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ w0 (* d d)) (* d d) (* (* (* -1/8 (* D D)) h) (* M (/ M l))) (* w0 (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d)))))))) (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (+ (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* h (* M M)) l)) 1) (* -1/8 (/ (/ (* D D) d) d)) (* 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))) (+ (* (* (* (* (/ (/ D d) d) h) -1/4) (* M M)) (/ D l)) 1) (* D (* M (/ 1/2 d))) (* (/ M d) (/ D 2)) (/ (* (/ M d) (/ D 2)) l) (* (* (* M M) h) (/ w0 (* (* l d) d))) (* (* M M) h) (+ (* (/ w0 (* d d)) (* (* (* -1/8 (* D D)) h) (* M (/ M l)))) w0) (* h (* M M)) (/ (* D D) d) (* (* (* (/ (/ D d) d) h) -1/4) (* M M)) (* (/ (/ D d) d) h))
6.0ms	M	@	0	((neg (* h (* D (* M (/ 1/2 d))))) (* w0 (sqrt (+ (* (/ (* (/ M d) (/ D 2)) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1))) (sqrt (+ (* (/ (* (/ M d) (/ D 2)) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1)) (+ (* (/ (* (/ M d) (/ D 2)) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* l d) d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ w0 (* d d)) (* d d) (* (* (* -1/8 (* D D)) h) (* M (/ M l))) (* w0 (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d)))))))) (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (+ (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* h (* M M)) l)) 1) (* -1/8 (/ (/ (* D D) d) d)) (* 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))) (+ (* (* (* (* (/ (/ D d) d) h) -1/4) (* M M)) (/ D l)) 1) (* D (* M (/ 1/2 d))) (* (/ M d) (/ D 2)) (/ (* (/ M d) (/ D 2)) l) (* (* (* M M) h) (/ w0 (* (* l d) d))) (* (* M M) h) (+ (* (/ w0 (* d d)) (* (* (* -1/8 (* D D)) h) (* M (/ M l)))) w0) (* h (* M M)) (/ (* D D) d) (* (* (* (/ (/ D d) d) h) -1/4) (* M M)) (* (/ (/ D d) d) h))
6.0ms	h	@	inf	((neg (* h (* D (* M (/ 1/2 d))))) (* w0 (sqrt (+ (* (/ (* (/ M d) (/ D 2)) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1))) (sqrt (+ (* (/ (* (/ M d) (/ D 2)) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1)) (+ (* (/ (* (/ M d) (/ D 2)) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* l d) d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ w0 (* d d)) (* d d) (* (* (* -1/8 (* D D)) h) (* M (/ M l))) (* w0 (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d)))))))) (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (+ (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* h (* M M)) l)) 1) (* -1/8 (/ (/ (* D D) d) d)) (* 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))) (+ (* (* (* (* (/ (/ D d) d) h) -1/4) (* M M)) (/ D l)) 1) (* D (* M (/ 1/2 d))) (* (/ M d) (/ D 2)) (/ (* (/ M d) (/ D 2)) l) (* (* (* M M) h) (/ w0 (* (* l d) d))) (* (* M M) h) (+ (* (/ w0 (* d d)) (* (* (* -1/8 (* D D)) h) (* M (/ M l)))) w0) (* h (* M M)) (/ (* D D) d) (* (* (* (/ (/ D d) d) h) -1/4) (* M M)) (* (/ (/ D d) d) h))
6.0ms	D	@	inf	((neg (* h (* D (* M (/ 1/2 d))))) (* w0 (sqrt (+ (* (/ (* (/ M d) (/ D 2)) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1))) (sqrt (+ (* (/ (* (/ M d) (/ D 2)) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1)) (+ (* (/ (* (/ M d) (/ D 2)) l) (neg (* h (* D (* M (/ 1/2 d)))))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* l d) d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ w0 (* d d)) (* d d) (* (* (* -1/8 (* D D)) h) (* M (/ M l))) (* w0 (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d)))))))) (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (+ (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* h (* M M)) l)) 1) (* -1/8 (/ (/ (* D D) d) d)) (* 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))) (+ (* (* (* (* (/ (/ D d) d) h) -1/4) (* M M)) (/ D l)) 1) (* D (* M (/ 1/2 d))) (* (/ M d) (/ D 2)) (/ (* (/ M d) (/ D 2)) l) (* (* (* M M) h) (/ w0 (* (* l d) d))) (* (* M M) h) (+ (* (/ w0 (* d d)) (* (* (* -1/8 (* D D)) h) (* M (/ M l)))) w0) (* h (* M M)) (/ (* D D) d) (* (* (* (/ (/ D d) d) h) -1/4) (* M M)) (* (/ (/ D d) d) h))

simplify369.0ms (2.4%)

Memory

11.1MiB live, 396.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	703	33451
1	2400	33291
0	8561	32287

Stop Event

1×	iter limit
1×	node limit

Counts

1 440 → 1 391

Calls

Call 1

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

rewrite173.0ms (1.1%)

Memory

18.7MiB live, 234.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	530
0	128	530
1	453	499
2	3551	491
0	8256	491

Stop Event

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

Counts

30 → 801

Calls

Call 1

Inputs
(neg.f64 (.f64 h (.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (neg.f64 (.f64 h (.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0)
(.f64 (.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0))
(/.f64 w0 (*.f64 d d))
(*.f64 d d)
(.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (*.f64 M (/.f64 M l)))
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#s(approx (sqrt (- 1 (/ (* h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1 binary64)))
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eval595.0ms (3.8%)

Memory: -83.3MiB live, 623.4MiB allocated
Compiler: Compiled 65 679 to 4 736 computations (92.8% saved)

prune148.0ms (0.9%)

Memory

-8.3MiB live, 242.8MiB allocated

Pruning

41 alts after pruning (40 fresh and 1 done)

	Pruned	Kept	Total
New	2 210	18	2 228
Fresh	9	22	31
Picked	5	0	5
Done	1	1	2
Total	2 225	41	2 266

Accuracy

90.0%

Counts

2 266 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.8%	(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d 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 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
	45.7%	(.f64 w0 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) #s(literal 1 binary64)))))
	86.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) d) l) (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))))
	79.2%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) h) (.f64 l d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
	80.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (/.f64 (.f64 #s(literal 1/2 binary64) D) l)) d) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64))))
	68.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (*.f64 M M) D) d) #s(literal -1/4 binary64)) (/.f64 D d)) (/.f64 h l) #s(literal 1 binary64))))
	86.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (/.f64 M d) l)) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64))))
	79.5%	(.f64 w0 (sqrt.f64 (fma.f64 D (.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) l) (.f64 (.f64 (neg.f64 h) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64))))
	61.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D) D) (.f64 d (*.f64 (/.f64 l h) d))))))
	69.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (.f64 D h) (*.f64 l d))))))
	66.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 M M) D) l) #s(approx (* (/ (/ D d) d) (* -1/4 h)) (.f64 (.f64 #s(literal -1/4 binary64) D) (/.f64 h (*.f64 d d)))) #s(literal 1 binary64)))))
	70.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 M D) M) l) (.f64 (/.f64 (/.f64 D d) d) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
	68.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 h d)) #s(literal -1/4 binary64)) (.f64 M M)) (/.f64 D l) #s(literal 1 binary64)))))
	68.1%	(.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 l d) d)) #s(literal 1 binary64)))))
	65.7%	(.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 D M) M) D) (.f64 l (.f64 d d))) #s(literal 1 binary64)))))
	56.4%	(.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 D D) M) M) (.f64 l (.f64 d d))) #s(literal 1 binary64)))))
	75.2%	(.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) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))))
	70.8%	(.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 M M) (.f64 l d)) (*.f64 (/.f64 D d) D)) #s(literal 1 binary64)))))
	81.0%	(.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 (/.f64 M d) l) M) D) (/.f64 D d)) #s(literal 1 binary64)))))
	14.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
	61.9%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (fma.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))))
	67.3%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (/.f64 D d) D) d)) (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1 binary64))))
	61.6%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) #s(approx (+ (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* h (* M M)) l)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h d) (/.f64 (.f64 M M) d)) l) l))))
	13.3%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) #s(approx (+ (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* h (* M M)) l)) 1) (.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 h (.f64 M M)) d) (/.f64 (*.f64 D D) d))))))
✓	66.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	51.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 w0 d) d) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (*.f64 M (/.f64 M l))) w0))
	53.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 (.f64 l d) d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) M) (*.f64 M h)) w0))
	51.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 d d)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) M) (.f64 M h)) l) w0))
	48.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 (/.f64 M l) M) #s(literal -1/8 binary64)) (.f64 (.f64 D D) h)) w0))
	49.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) M)) (/.f64 M l) w0))
	67.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 l d) d)) M) (.f64 M h)) (*.f64 #s(literal -1/8 binary64) D)) D w0))
	61.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)) d) w0))
	55.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) (.f64 d d)) w0))
	59.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (.f64 M h) (neg.f64 M))) (.f64 (neg.f64 d) l)) w0))
	56.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (*.f64 l d) d)) w0))
	52.8%	#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 M (.f64 M (.f64 (/.f64 w0 (.f64 (*.f64 l d) d)) h))) w0))
	63.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (.f64 d d))) (/.f64 (.f64 (.f64 M M) h) l))) w0))
	65.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 l d) d)))) w0))
	20.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (-.f64 w0 (/.f64 (fma.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)))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 h w0) d) (/.f64 (.f64 M M) d)))) l)))
	12.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ w0 (* d d)) (* (* (* -1/8 (* D D)) h) (* M (/ M l)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (*.f64 d d))))))
	13.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) l))))

Compiler

Compiled 2 837 to 1 297 computations (54.3% saved)

regimes417.0ms (2.7%)

Memory

8.3MiB live, 492.3MiB allocated

Counts

84 → 1

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 l d) d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M (.f64 M (.f64 (/.f64 w0 (.f64 (*.f64 l d) d)) h))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (*.f64 l d) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 l d) d)) M) (.f64 M h)) (*.f64 #s(literal -1/8 binary64) D)) D w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 (.f64 l d) d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) M) (*.f64 M h)) w0))
(.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (fma.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M h) (neg.f64 M)) w0) (.f64 (neg.f64 l) (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ w0 (* d d)) (* (* (* -1/8 (* D D)) h) (* M (/ M l)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (.f64 d d))) (/.f64 (.f64 (.f64 M M) h) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M h) (.f64 M (/.f64 w0 (.f64 d d)))) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (.f64 M M) h)) (.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) w0) (.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) (.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 w0 (.f64 d d)) h) (.f64 M (/.f64 M l))) D) (.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) M)) (/.f64 M l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 M (/.f64 M l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 (.f64 (.f64 (/.f64 M l) M) #s(literal -1/8 binary64)) (.f64 (.f64 D D) h)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (.f64 d d)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) M) (.f64 M h)) l) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 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 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (.f64 M h) (neg.f64 M))) (.f64 (neg.f64 d) l)) w0))
(.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 D D) M) M) (.f64 l (.f64 d d))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 l (.f64 d d))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 l (.f64 d d))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) l))))
(.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) #s(approx (+ (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* h (* M M)) l)) 1) (.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 h (.f64 M M)) d) (/.f64 (*.f64 D D) d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (/.f64 (.f64 (*.f64 M M) h) l) w0) d) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 w0 d) d) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (*.f64 M (/.f64 M l))) w0))
(.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) #s(approx (+ (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* h (* M M)) l)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h d) (/.f64 (.f64 M M) d)) l) l))))
(.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (/.f64 D d) D) d)) (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 (/ ( h (* D (* M (/ 1/2 d)))) (/ l (* D (* M (/ 1/2 d))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1 binary64))))
(.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 M M) (.f64 l d)) (*.f64 (/.f64 D d) D)) #s(literal 1 binary64)))))
(.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 M M) (.f64 l d)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))))
(.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) (*.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))) (fma.f64 (/.f64 (.f64 (.f64 M M) D) l) #s(approx (* (/ (/ D d) d) (* -1/4 h)) (.f64 (.f64 #s(literal -1/4 binary64) D) (/.f64 h (*.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 h (.f64 M M)) l)) (.f64 d d))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (.f64 D h) (*.f64 l d))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D) D) (.f64 d (*.f64 (/.f64 l h) d))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) h) (.f64 l d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(.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 M M) (.f64 D (/.f64 (/.f64 (/.f64 D d) l) d))) #s(literal 1 binary64)))))
(.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 (/.f64 M d) l) M) D) (/.f64 D d)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 h d)) #s(literal -1/4 binary64)) (.f64 M M)) (/.f64 D l) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) d) h) #s(literal -1/4 binary64)) (.f64 M M)) (/.f64 D l) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 M D) M) l) (.f64 (/.f64 (/.f64 D d) d) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 M M) D) l) (.f64 (/.f64 (/.f64 D d) d) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (*.f64 M M) D) d) #s(literal -1/4 binary64)) (/.f64 D d)) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D (neg.f64 d)) (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) M) d))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) d) l) (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 D (.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) l) (.f64 (.f64 (neg.f64 h) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (/.f64 M d) l)) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (/.f64 (.f64 #s(literal 1/2 binary64) D) l)) d) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (/.f64 D d) (/.f64 l h))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (/.f64 l (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) l) (neg.f64 (.f64 h (.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) l) (neg.f64 h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64)))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 d D)) (pow.f64 h #s(literal -1 binary64)))))))
(.f64 w0 (exp.f64 (.f64 (log1p.f64 (/.f64 (.f64 (pow.f64 (.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) h) (neg.f64 l))) #s(literal 1/2 binary64))))
(.f64 w0 (exp.f64 (.f64 (log1p.f64 (/.f64 (.f64 (pow.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) h) (neg.f64 l))) #s(literal 1/2 binary64))))
(.f64 w0 (exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (-.f64 w0 (/.f64 (fma.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)))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 h w0) d) (/.f64 (.f64 M M) d)))) l)))
(.f64 w0 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)))))
(.f64 w0 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (.f64 (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 D M)) #s(literal -1 binary64)))))))
(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d 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 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))

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

Calls

15 calls:

78.0ms	(*.f64 M D)
36.0ms	w0
34.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
25.0ms	l
25.0ms	D

Results

Accuracy	Segments	Branch
88.1%	1	`w0`
88.1%	1	`M`
88.1%	1	`D`
88.1%	1	`h`
88.1%	1	`l`
88.1%	1	`d`
88.1%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
88.1%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.1%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.1%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.1%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
88.1%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.1%	1	`(*.f64 M D)`
88.1%	1	`(*.f64 #s(literal 2 binary64) d)`
88.1%	1	`(/.f64 h l)`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes304.0ms (1.9%)

Memory

42.5MiB live, 534.4MiB allocated

Counts

68 → 1

Calls

Call 1

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

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

Calls

15 calls:

30.0ms	h
29.0ms	(*.f64 #s(literal 2 binary64) d)
22.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
21.0ms	M
21.0ms	D

Results

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

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes485.0ms (3.1%)

Memory

-51.9MiB live, 326.1MiB allocated

Counts

64 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

233.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
26.0ms	(-.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)))
21.0ms	w0
19.0ms	D
18.0ms	h

Results

Accuracy	Segments	Branch
86.5%	1	`l`
86.5%	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)))))`
86.5%	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))))`
86.5%	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)))`
88.3%	2	`(*.f64 M D)`
86.5%	1	`h`
86.5%	1	`d`
86.5%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.6%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
86.5%	1	`(*.f64 #s(literal 2 binary64) d)`
86.5%	1	`(/.f64 h l)`
86.5%	1	`w0`
88.3%	2	`M`
86.5%	1	`D`
88.6%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes276.0ms (1.8%)

Memory

47.7MiB live, 421.9MiB allocated

Counts

59 → 2

Calls

Call 1

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

Outputs

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

(*.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 (/.f64 M d) l) M) D) (/.f64 D d)) #s(literal 1 binary64)))))

Calls

15 calls:

38.0ms	l
25.0ms	(*.f64 #s(literal 2 binary64) d)
19.0ms	h
19.0ms	d
18.0ms	w0

Results

Accuracy	Segments	Branch
84.5%	2	`l`
81.0%	1	`w0`
84.1%	2	`D`
86.4%	3	`h`
85.7%	3	`d`
87.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
85.7%	3	`(*.f64 #s(literal 2 binary64) d)`
87.2%	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)))))`
87.2%	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))))`
87.2%	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)))`
88.0%	3	`(/.f64 h l)`
81.0%	1	`M`
85.6%	3	`(*.f64 M D)`
86.9%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
86.9%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes195.0ms (1.2%)

Memory

7.3MiB live, 354.5MiB allocated

Counts

56 → 2

Calls

Call 1

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

Outputs

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

(*.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 (/.f64 M d) l) M) D) (/.f64 D d)) #s(literal 1 binary64)))))

Calls

12 calls:

22.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
19.0ms	(.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 2 binary64) d)
16.0ms	(/.f64 h l)
16.0ms	D

Results

Accuracy	Segments	Branch
83.0%	2	`D`
84.2%	3	`d`
84.2%	3	`(*.f64 #s(literal 2 binary64) d)`
84.1%	2	`l`
84.3%	3	`h`
81.0%	1	`(/.f64 h l)`
83.8%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
83.8%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
82.9%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
82.9%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
82.9%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
82.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 88 to 121 computations (-37.5% saved)

regimes99.0ms (0.6%)

Memory

-7.8MiB live, 149.3MiB allocated

Counts

47 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
79.2%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
82.2%	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))))`
82.2%	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)))`
81.6%	2	`D`
82.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
82.8%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
81.9%	2	`(*.f64 M D)`
79.2%	1	`l`

Compiler

Compiled 70 to 88 computations (-25.7% saved)

regimes254.0ms (1.6%)

Memory

-16.8MiB live, 277.4MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

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

(*.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 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))

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

Calls

15 calls:

40.0ms	(-.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)))
37.0ms	D
17.0ms	M
13.0ms	h
13.0ms	d

Results

Accuracy	Segments	Branch
77.0%	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)))))`
75.2%	1	`l`
77.6%	2	`D`
81.5%	3	`(*.f64 M D)`
78.4%	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))))`
78.4%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
77.9%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
77.6%	2	`(/.f64 h l)`
75.2%	1	`w0`
79.1%	2	`M`
78.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
78.7%	2	`d`
78.7%	2	`(*.f64 #s(literal 2 binary64) d)`
75.2%	1	`h`
77.9%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes25.0ms (0.2%)

Memory

31.8MiB live, 31.8MiB allocated

Counts

43 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	M
11.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
78.9%	2	`M`
80.5%	3	`(*.f64 M D)`

Compiler

Compiled 4 to 13 computations (-225% saved)

regimes136.0ms (0.9%)

Memory

-22.8MiB live, 90.0MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

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

(*.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 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))

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

Calls

7 calls:

50.0ms	d
28.0ms	(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))))
16.0ms	M
11.0ms	(*.f64 #s(literal 2 binary64) d)
10.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
77.8%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
77.8%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
77.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
78.6%	3	`d`
78.6%	3	`(*.f64 #s(literal 2 binary64) d)`
79.7%	3	`(*.f64 M D)`
77.3%	2	`M`

Compiler

Compiled 52 to 71 computations (-36.5% saved)

regimes68.0ms (0.4%)

Memory

-7.7MiB live, 38.3MiB allocated

Counts

38 → 3

Calls

Call 1

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

Outputs

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

(*.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 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))

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

Calls

3 calls:

10.0ms	(*.f64 M D)
9.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
9.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
76.0%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
76.0%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
79.4%	3	`(*.f64 M D)`

Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes66.0ms (0.4%)

Memory

17.7MiB live, 55.3MiB allocated

Counts

33 → 3

Calls

Call 1

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

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

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

Calls

5 calls:

32.0ms	D
9.0ms	(/.f64 h l)
9.0ms	(*.f64 M D)
7.0ms	(-.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)))
7.0ms	(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
74.4%	2	`(/.f64 h l)`
75.7%	2	`D`
77.0%	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))))`
77.0%	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)))`
79.1%	3	`(*.f64 M D)`

Compiler

Compiled 38 to 51 computations (-34.2% saved)

regimes16.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

(*.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 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
77.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
76.1%	2	`(*.f64 M D)`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes175.0ms (1.1%)

Memory

-24.7MiB live, 95.2MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

93.0ms	h
14.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
13.0ms	(-.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)))
8.0ms	(*.f64 #s(literal 2 binary64) d)
8.0ms	d

Results

Accuracy	Segments	Branch
69.5%	2	`w0`
71.9%	2	`h`
70.3%	2	`l`
75.3%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
75.3%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
75.3%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
73.4%	3	`d`
73.4%	3	`(*.f64 #s(literal 2 binary64) d)`
75.6%	2	`M`
76.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 70 to 99 computations (-41.4% saved)

regimes9.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
75.2%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
75.2%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
74.9%	2	`(*.f64 M D)`
75.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 32 to 41 computations (-28.1% saved)

regimes57.0ms (0.4%)

Memory

-22.3MiB live, 16.1MiB 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) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 l d) d)))) w0))

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

Calls

6 calls:

49.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
2.0ms	D
2.0ms	M
1.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
1.0ms	(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
74.0%	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)))))`
74.0%	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))))`
74.0%	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)))`
75.2%	2	`M`
74.5%	2	`D`
75.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 64 to 73 computations (-14.1% saved)

regimes20.0ms (0.1%)

Memory

36.4MiB live, 36.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

15 calls:

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

Results

Accuracy	Segments	Branch
66.8%	1	`w0`
66.8%	1	`l`
66.8%	1	`d`
66.8%	1	`(*.f64 #s(literal 2 binary64) d)`
66.8%	1	`h`
66.8%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
66.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
66.8%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
66.8%	1	`(/.f64 h l)`
66.8%	1	`D`
66.8%	1	`(*.f64 M D)`
66.8%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
66.8%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
66.8%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
66.8%	1	`M`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.534885747234757e-26	4.113093346932364e-26

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch64.0ms (0.4%)

Memory

-37.4MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch20.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-1.2609728939544082e-110	-1.3645062063780531e-112

Samples

11.0ms	112×	0	valid
1.0ms	14×	0	invalid

Compiler

Compiled 336 to 313 computations (6.8% saved)

Precisions

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

ival-mult: 3.0ms (39.2% of total)

ival-div: 2.0ms (26.2% of total)

ival-sub: 1.0ms (13.1% of total)

ival-sqrt: 1.0ms (13.1% of total)

ival-pow2: 1.0ms (13.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0029081524429765e-184	5.4040326348950104e-183

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.66184563982329e+130	1.4119761311241934e+131
0.0ms	1.74066023318738e-103	1.6165069743416777e-101

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch8.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.2735111357391214e-169	2.635025438179109e-169

Samples

5.0ms	48×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 99 to 116 computations (-17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (33.2% of total)

ival-mult: 1.0ms (33.2% 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-assert: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.933545042117598e+139	1.5561181199211641e+144
0.0ms	1.74066023318738e-103	1.6165069743416777e-101

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1147205453804913e+134	1.933545042117598e+139
0.0ms	1.74066023318738e-103	1.6165069743416777e-101

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1147205453804913e+134	1.933545042117598e+139
0.0ms	1.74066023318738e-103	1.6165069743416777e-101

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	-1.8255545817954884e-5	-3.3201051519435694e-15

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	-inf	-9.583635221002738e+294

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-9.583635221002738e+294

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch73.0ms (0.5%)

Memory

-16.3MiB live, 21.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
71.0ms	6.021202582549676e-89	1.739533223965191e-87

Samples

66.0ms	112×	0	valid
1.0ms	6×	0	invalid

Compiler

Compiled 196 to 222 computations (-13.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 58.0ms (93.1% of total)

ival-div: 2.0ms (3.2% of total)

ival-sub: 1.0ms (1.6% of total)

ival-sqrt: 1.0ms (1.6% of total)

ival-pow2: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify123.0ms (0.8%)

Memory

-25.6MiB live, 52.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	1136
1	279	1136
2	326	1136
3	379	1136
4	429	1136
5	454	1136
6	464	1136
7	465	1136

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (/.f64 l (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (neg.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 1742245718635205/43556142965880123323311949751266331066368 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) d) l) (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) M) d))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))))
(if (<=.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 +inf.0 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) M) d))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (.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 (/.f64 M d) l) M) D) (/.f64 D d)) #s(literal 1 binary64))))))
(if (<=.f64 l #s(literal -1624611148898915/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) h) (.f64 l d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (.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 (/.f64 M d) l) M) D) (/.f64 D d)) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 3827252586451049/19136262932255243894327540630475154705164967900866663911068029494595001430924024396931296128159696131577158553613765316960850876967683885097823130383956161858642094270647956721192399556036699204091904 binary64)) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) h) (.f64 l d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 M D) #s(literal 8069530869021589/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 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 (.f64 (.f64 M M) h) l) w0) d) d) w0)) (if (<=.f64 (.f64 M D) #s(literal 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) (.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 D M) M) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (.f64 D h) (*.f64 l d))))))))
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(if (<=.f64 (.f64 M D) #s(literal 8069530869021589/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 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 (.f64 (.f64 M M) h) l) w0) d) d) w0)) (if (<=.f64 (.f64 M D) #s(literal 20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) (.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 D M) M) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (*.f64 (/.f64 D d) D)) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 M D) #s(literal 8069530869021589/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 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 (.f64 (.f64 M M) h) l) w0) d) d) w0)) (if (<=.f64 (.f64 M D) #s(literal 199999999999999984296407299341398630015099654745944923008750222099696603215320648945714523230290178856098728915675690981064839861895168 binary64)) (.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 D M) M) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 w0 (.f64 d d)) h) (.f64 M (/.f64 M l))) D) (.f64 #s(literal -1/8 binary64) D) w0))))
(if (<=.f64 (.f64 M D) #s(literal 8069530869021589/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 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 199999999999999984296407299341398630015099654745944923008750222099696603215320648945714523230290178856098728915675690981064839861895168 binary64)) (.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 D M) M) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 w0 (.f64 d d)) h) (.f64 M (/.f64 M l))) D) (.f64 #s(literal -1/8 binary64) D) w0))))
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(if (<=.f64 M #s(literal 6988003595594749/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 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) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 l d) d)))) w0)))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (/.f64 l (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))))))))
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(if (<=.f64 (.f64 M D) #s(literal 8069530869021589/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) w0) d) d) w0)) (if (<=.f64 (.f64 M D) #s(literal 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) (.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) h) (/.f64 (.f64 (.f64 (.f64 M D) M) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))) w0) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D h) (.f64 l d)) (.f64 (.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 D d))))) w0)))
(if (<=.f64 M #s(literal 8838136200471005/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) (.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) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))))
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(if (<=.f64 (.f64 M D) #s(literal 8069530869021589/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 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 (.f64 (.f64 M M) h) l) w0) d) d) w0)) (if (<=.f64 (.f64 M D) #s(literal 20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) (.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 D M) M) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (*.f64 (/.f64 D d) D)) #s(literal 1 binary64)))))))
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(if (<=.f64 (.f64 M D) #s(literal 8069530869021589/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 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 (.f64 (.f64 M M) h) l) w0) d) d) w0)) (if (<=.f64 (.f64 M D) #s(literal 199999999999999984296407299341398630015099654745944923008750222099696603215320648945714523230290178856098728915675690981064839861895168 binary64)) (.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 D M) M) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 w0 (.f64 d d)) h) (.f64 M (/.f64 M l))) D) (.f64 #s(literal -1/8 binary64) D) w0))))
(if (<=.f64 (.f64 M D) #s(literal 8069530869021589/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) w0) d) d) w0)) (if (<=.f64 (.f64 M D) #s(literal 199999999999999984296407299341398630015099654745944923008750222099696603215320648945714523230290178856098728915675690981064839861895168 binary64)) (.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) h) (/.f64 (.f64 (.f64 (.f64 M D) M) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))) w0) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 M l) M) (.f64 (/.f64 w0 (.f64 d d)) h)) D) (.f64 #s(literal -1/8 binary64) D) w0))))
(if (<=.f64 (.f64 M D) #s(literal 8069530869021589/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 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 199999999999999984296407299341398630015099654745944923008750222099696603215320648945714523230290178856098728915675690981064839861895168 binary64)) (.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 D M) M) D) (.f64 l (.f64 d d))) #s(literal 1 binary64))))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 w0 (.f64 d d)) h) (.f64 M (/.f64 M l))) D) (.f64 #s(literal -1/8 binary64) D) w0))))
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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 -5902958103587057/590295810358705651712 binary64)) (.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 D D) M) M) (.f64 l (.f64 d d))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
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(if (<=.f64 M #s(literal 6988003595594749/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 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) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (/.f64 w0 (.f64 (*.f64 l d) d)))) w0)))
(if (<=.f64 M #s(literal 6988003595594749/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) (/.f64 w0 (.f64 (*.f64 l d) d))) D) w0)))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)

soundness2.5s (16.2%)

Memory

-14.4MiB live, 1 455.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	530
0	128	530
1	453	499
2	3551	491
0	8256	491
0	17	69
0	26	69
1	82	69
2	550	69
3	7047	69
0	8635	69
0	658	37628
1	2281	37350
0	8178	36260
0	626	7690
1	2185	7668
0	8475	7462
0	63	569
0	107	569
1	379	509
2	3025	509
0	8145	509
0	61	482
0	101	482
1	341	417
2	2824	407
0	9237	407

Stop Event

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

Compiler

Compiled 1 724 to 1 148 computations (33.4% saved)

preprocess401.0ms (2.6%)

Memory: 29.0MiB live, 658.6MiB allocated
Remove: (negabs w0)
Compiler: Compiled 5 526 to 2 846 computations (48.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze517.0ms (3.3%)

sample3.2s (20.5%)

explain328.0ms (2.1%)

preprocess141.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify97.0ms (0.6%)

localize46.0ms (0.3%)

series86.0ms (0.6%)

simplify182.0ms (1.2%)

rewrite164.0ms (1.1%)

eval91.0ms (0.6%)

prune43.0ms (0.3%)

simplify94.0ms (0.6%)

localize173.0ms (1.1%)

series273.0ms (1.8%)

simplify292.0ms (1.9%)

rewrite173.0ms (1.1%)

eval368.0ms (2.4%)

prune112.0ms (0.7%)

simplify126.0ms (0.8%)

localize171.0ms (1.1%)

series201.0ms (1.3%)

simplify290.0ms (1.9%)

rewrite176.0ms (1.1%)

eval388.0ms (2.5%)

prune127.0ms (0.8%)

simplify251.0ms (1.6%)

localize203.0ms (1.3%)

series179.0ms (1.1%)

simplify369.0ms (2.4%)

rewrite173.0ms (1.1%)

eval595.0ms (3.8%)

prune148.0ms (0.9%)

regimes417.0ms (2.7%)

regimes304.0ms (1.9%)

regimes485.0ms (3.1%)

regimes276.0ms (1.8%)

regimes195.0ms (1.2%)

regimes99.0ms (0.6%)

regimes254.0ms (1.6%)

regimes25.0ms (0.2%)

regimes136.0ms (0.9%)

regimes68.0ms (0.4%)

regimes66.0ms (0.4%)

regimes16.0ms (0.1%)

regimes175.0ms (1.1%)

regimes9.0ms (0.1%)

regimes57.0ms (0.4%)

regimes20.0ms (0.1%)

bsearch1.0ms (0%)

bsearch64.0ms (0.4%)

bsearch20.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch73.0ms (0.5%)

simplify123.0ms (0.8%)

soundness2.5s (16.2%)

preprocess401.0ms (2.6%)

end0.0ms (0%)

Profiling