Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze716.0ms (4%)

Memory

16.2MiB live, 581.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 20 to 19 computations (5% saved)

sample2.3s (13.2%)

Memory

46.0MiB live, 2 524.4MiB allocated

Samples

1.3s	8 256×	0	valid
371.0ms	2 745×	0	invalid

Precisions

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

ival-mult: 481.0ms (45.2% of total)

ival-div: 218.0ms (20.5% of total)

ival-pow2: 177.0ms (16.6% of total)

ival-sub: 87.0ms (8.2% of total)

ival-sqrt: 80.0ms (7.5% of total)

exact: 10.0ms (0.9% of total)

ival-true: 8.0ms (0.8% of total)

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

Bogosity

explain438.0ms (2.5%)

Memory

-103.8MiB live, 428.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
45	-	4	(1.9948149623180382e+234 3.3229750922770846e+242 4.185094615628611e-300 1.3455423355047725e+40 -1.7993658010097387e-73 1.6831644967653776e+101)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
23	-	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))))`
21	-	2	(6.3182864388883e-252 -5.67473781019569e-74 1.5020129398613299e-238 3.7680865398573675e+27 8.23081914575466e+69 9.549593440012436e-292)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
5	-	0	-	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`w0`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`M`
0	-	0	-	`h`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	oflow-rescue	23	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	51
↳	`(-.f64 #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	50
↳	`(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	27
↳	`(*.f64 M D)`	overflow	18
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	22
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	50
↳	`(/.f64 h l)`	overflow	30
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	7	0
↳	`(*.f64 M D)`	overflow	18
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	6	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	51
↳	`(*.f64 M D)`	overflow	18
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	22
↳	`(/.f64 h l)`	underflow	38
`*.f64`	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`	*no**	5	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	4	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	103
↳	`(*.f64 M D)`	underflow	35
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	54
↳	`(/.f64 h l)`	overflow	30
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	35

Confusion

	Predicted +	Predicted -
+	36	13
-	9	198

Precision

0.8

Recall

0.7346938775510204

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	36	0	13
-	9	0	198

Precision?

0.8

Recall?

0.7346938775510204

Freqs

test

number	freq
0	211
1	40
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

63.0ms

512×

valid

Compiler

Compiled 218 to 55 computations (74.8% saved)

Precisions

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

ival-mult: 13.0ms (37.5% of total)

ival-div: 8.0ms (23.1% of total)

ival-sub: 5.0ms (14.4% of total)

ival-pow2: 5.0ms (14.4% of total)

ival-sqrt: 3.0ms (8.6% of total)

exact: 1.0ms (2.9% of total)

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

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

preprocess190.0ms (1.1%)

Memory

22.3MiB live, 222.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2 616×	`lower-*.f32`
2 612×	`lower-*.f64`
2 592×	`lower-/.f32`
2 590×	`lower-/.f64`
722×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 6 to 6 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify127.0ms (0.7%)

Memory

-8.4MiB live, 187.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2 616×	`lower-*.f32`
2 612×	`lower-*.f64`
2 592×	`lower-/.f32`
2 590×	`lower-/.f64`
722×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize59.0ms (0.3%)

Memory

-24.9MiB live, 121.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.2307567206252839	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
accuracy	4.78278834928094	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	5.385108541762056	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy	10.373189820453097	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

27.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 5.0ms (35.4% of total)

ival-div: 3.0ms (21.2% of total)

ival-sqrt: 2.0ms (14.1% of total)

ival-pow2: 2.0ms (14.1% of total)

ival-sub: 1.0ms (7.1% of total)

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

exact: 0.0ms (0% of total)

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

series69.0ms (0.4%)

Memory

-0.7MiB live, 113.3MiB allocated

Counts

6 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
4.0ms	l	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
3.0ms	d	@	0	(pow (/ (* M D) (* 2 d)) 2)
3.0ms	w0	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
2.0ms	M	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
2.0ms	h	@	inf	(sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))

simplify266.0ms (1.5%)

Memory

27.3MiB live, 256.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 296×	`lower-*.f64`
5 296×	`lower-*.f32`
4 456×	`lower-fma.f64`
4 456×	`lower-fma.f32`
1 375×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 317

Calls

Call 1

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

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

rewrite281.0ms (1.6%)

Memory

-3.6MiB live, 224.7MiB allocated

Rules

2 902×	`lower-*.f32`
2 898×	`lower-*.f64`
2 018×	`lower-fma.f64`
2 018×	`lower-fma.f32`
1 504×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 689

Calls

Call 1

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

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

eval293.0ms (1.6%)

Memory: 19.1MiB live, 256.4MiB allocated
Compiler: Compiled 31 317 to 4 359 computations (86.1% saved)

prune223.0ms (1.3%)

Memory

-38.6MiB live, 410.5MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	989	17	1 006
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	990	17	1 007

Accuracy

91.5%

Counts

1 007 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.1%	(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 3 binary64)))) w0) (sqrt.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) h #s(literal 1 binary64)) (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 1 binary64))))
	82.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 D d) M))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
▶	90.1%	(.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))))
	79.4%	(.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))))
	80.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 D d) M)) (.f64 D M))) (*.f64 #s(literal -2 binary64) d)))))
	79.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
▶	74.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 D M) (.f64 (/.f64 l h) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))))
	85.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))))
	79.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) D) d) (/.f64 h l)))))
▶	73.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))))
	84.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D M) l) (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) (.f64 (/.f64 #s(literal 1/2 binary64) d) D)) (/.f64 #s(literal 1 binary64) h))))))
	80.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 h l)))))
▶	55.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64)))))
	14.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))))
	54.0%	(.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 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
▶	71.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	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 h (.f64 M M)) w0) (.f64 l (*.f64 d d))) w0))

Compiler

Compiled 1 022 to 622 computations (39.1% saved)

simplify175.0ms (1%)

Memory

37.0MiB live, 151.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))
cost-diff	384	(*.f64 (/.f64 D d) (/.f64 D d))
cost-diff	1088	(/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 D M) (.f64 (/.f64 l h) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (*.f64 D M))))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 D M) (.f64 (/.f64 l h) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))))
cost-diff	384	(.f64 (/.f64 l h) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))
cost-diff	384	(/.f64 (.f64 D M) (.f64 (/.f64 l h) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (*.f64 D M))))
cost-diff	0	(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64)))))
cost-diff	0	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
cost-diff	0	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
cost-diff	320	(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))
cost-diff	512	(/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))

Rules

4 469×	`lower-*.f32`
4 448×	`lower-*.f64`
1 426×	`lower-/.f32`
1 415×	`lower-/.f64`
950×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	588
0	108	588
1	226	584
2	761	571
3	4917	571
0	8477	562

Stop Event

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

Calls

Call 1

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

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

localize185.0ms (1%)

Memory

-20.1MiB live, 294.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	5.281566783387878	(/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l)
accuracy	5.385108541762056	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)))))
accuracy	6.44624480882494	(/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))
accuracy	12.495304646427185	(.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)))
accuracy	4.196013275580527	(/.f64 (.f64 D M) (.f64 (/.f64 l h) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (*.f64 D M))))
accuracy	5.385108541762056	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 D M) (.f64 (/.f64 l h) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (*.f64 D M))))))
accuracy	10.46521300729379	(.f64 (/.f64 l h) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))
accuracy	11.008181261417665	(/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (*.f64 D M))
accuracy	5.385108541762056	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
accuracy	8.293925505967723	(.f64 l (.f64 d d))
accuracy	11.048651556952318	(.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d))))
accuracy	13.513142096235494	(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))
accuracy	1.2307567206252839	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	18.55515007242312	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	5.385108541762056	(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
accuracy	6.000536251529687	(*.f64 (/.f64 M d) h)
accuracy	6.748888475116581	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	6.987076781621482	(.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))

Samples

106.0ms

256×

valid

Compiler

Compiled 533 to 64 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 34.0ms (47.6% of total)

ival-div: 21.0ms (29.4% of total)

ival-sqrt: 6.0ms (8.4% of total)

ival-sub: 3.0ms (4.2% of total)

ival-add: 2.0ms (2.8% of total)

ival-pow2: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series151.0ms (0.9%)

Memory

3.2MiB live, 241.0MiB allocated

Counts

27 → 1 452

Calls

Call 1

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

Outputs
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf D) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 M) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 M) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 M) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 M) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf M) (#s(alt (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) (taylor -inf h) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor 0 M) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor 0 M) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor 0 M) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor 0 M) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor inf M) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor inf M) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor inf M) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor inf M) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor -inf M) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor -inf M) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor -inf M) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor -inf M) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor 0 l) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor 0 l) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor 0 l) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor 0 l) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor inf l) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor inf l) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor inf l) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor inf l) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor -inf l) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor -inf l) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor -inf l) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow M 2) l)) (taylor -inf l) (#s(alt (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())) ())

Calls

363 calls:

Time	Variable		Point	Expression
7.0ms	d	@	0	(/ (* (* D 1/2) (* (/ M d) h)) (neg l))
3.0ms	d	@	inf	(+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)
2.0ms	M	@	inf	(* w0 (sqrt (- 1 (* (/ (* (* M M) 1/4) l) (/ (* (/ D d) (/ D d)) (/ 1 h))))))
1.0ms	D	@	0	(/ (* (* D 1/2) (* (/ M d) h)) (neg l))
1.0ms	M	@	0	(/ (* (* D 1/2) (* (/ M d) h)) (neg l))

simplify470.0ms (2.6%)

Memory

28.9MiB live, 532.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 213×	`lower-*.f64`
5 213×	`lower-*.f32`
4 234×	`lower-fma.f64`
4 234×	`lower-fma.f32`
1 365×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	659	36972
1	2277	36736
0	8184	35688

Stop Event

1×	iter limit
1×	node limit

Counts

1 452 → 1 417

Calls

Call 1

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

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

rewrite296.0ms (1.7%)

Memory

-13.6MiB live, 437.9MiB allocated

Rules

2 113×	`lower-/.f32`
2 102×	`lower-/.f64`
2 062×	`lower-*.f32`
2 041×	`lower-*.f64`
1 353×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	470
0	108	462
1	381	424
2	3047	418
0	8800	414

Stop Event

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

Counts

27 → 970

Calls

Call 1

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

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

eval445.0ms (2.5%)

Memory: 37.5MiB live, 725.3MiB allocated
Compiler: Compiled 79 575 to 5 143 computations (93.5% saved)

prune594.0ms (3.3%)

Memory

-27.5MiB live, 620.6MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	2 375	12	2 387
Fresh	10	2	12
Picked	4	1	5
Done	0	0	0
Total	2 389	15	2 404

Accuracy

92.6%

Counts

2 404 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.1%	(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 3 binary64)))) w0) (sqrt.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) h #s(literal 1 binary64)) (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 1 binary64))))
▶	76.5%	(.f64 (sqrt.f64 (fma.f64 (neg.f64 D) (.f64 (/.f64 M (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l)) (.f64 (*.f64 h M) D)) #s(literal 1 binary64))) w0)
▶	84.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))))
	70.0%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) l) (.f64 D (/.f64 D (.f64 d d)))) h #s(literal 1 binary64))))
	82.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 D d) M))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
▶	88.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 d (/.f64 d (*.f64 M D))))) h))))
	74.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) M) l)) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))))
	75.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
	70.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
	66.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 M M) (*.f64 l d)) (/.f64 h d)) #s(literal 1 binary64)))))
▶	60.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 l d) d))) #s(literal 1 binary64)))))
	14.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (*.f64 d d) l)))))))
	54.0%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( D M) (* (/ l h) (/ (* 4 (* d d)) (* D M)))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
✓	71.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	56.2%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) w0))

Compiler

Compiled 872 to 522 computations (40.1% saved)

simplify241.0ms (1.4%)

Memory

10.9MiB live, 217.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 807×	`lower-*.f32`
4 779×	`lower-*.f64`
1 785×	`lower-/.f32`
1 778×	`lower-/.f64`
803×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	631
0	124	631
1	285	631
2	1014	631
3	7350	631
0	9160	624

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

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

localize343.0ms (1.9%)

Memory

18.7MiB live, 320.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.699820669062722	(*.f64 (/.f64 D d) h)
accuracy	5.281566783387878	(/.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) l)
accuracy	5.385108541762056	(sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (.f64 (/.f64 D d) h) #s(literal 1 binary64)))
accuracy	6.296521408757632	(.f64 (/.f64 (.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d))
accuracy	5.385108541762056	(sqrt.f64 (fma.f64 (neg.f64 D) (.f64 (/.f64 M (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l)) (.f64 (.f64 h M) D)) #s(literal 1 binary64)))
accuracy	5.988189299375149	(.f64 (/.f64 M (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l)) (.f64 (.f64 h M) D))
accuracy	6.173008139517072	(.f64 (.f64 h M) D)
accuracy	8.51767778456706	(.f64 (.f64 #s(literal 4 binary64) (*.f64 d d)) l)
accuracy	4.76961365739599	(/.f64 h (.f64 (.f64 l d) d))
accuracy	5.385108541762056	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 l d) d))) #s(literal 1 binary64))))
accuracy	11.048651556952318	(.f64 (.f64 M M) (/.f64 h (.f64 (.f64 l d) d)))
accuracy	13.513142096235494	(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 l d) d))) #s(literal 1 binary64))
accuracy	8.293925505967723	(.f64 (.f64 d d) l)
accuracy	9.304459478487463	(/.f64 (.f64 w0 (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))
accuracy	10.54907547825516	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) w0))
accuracy	13.949131473471382	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) w0)
accuracy	3.9519346577791	(.f64 (/.f64 (.f64 M D) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 d (/.f64 d (.f64 M D))))) h)
accuracy	4.682826226368991	(/.f64 d (*.f64 M D))
accuracy	5.385108541762056	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 d (/.f64 d (.f64 M D))))) h)))
accuracy	5.4003512908604066	(.f64 (.f64 l #s(literal 4 binary64)) (.f64 d (/.f64 d (.f64 M D))))

Samples

235.0ms

256×

valid

Compiler

Compiled 563 to 76 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-mult: 119.0ms (70.3% of total)

ival-div: 30.0ms (17.7% of total)

ival-sqrt: 8.0ms (4.7% of total)

ival-add: 4.0ms (2.4% of total)

ival-sub: 3.0ms (1.8% of total)

ival-pow2: 3.0ms (1.8% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series325.0ms (1.8%)

Memory

31.3MiB live, 250.5MiB allocated

Counts

32 → 1 596

Calls

Call 1

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

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

Calls

399 calls:

Time	Variable		Point	Expression
60.0ms	h	@	-inf	(* (sqrt (+ (* (neg D) (* (/ M (* (* 4 (* d d)) l)) (* (* h M) D))) 1)) w0)
53.0ms	w0	@	-inf	(* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M)))))))
15.0ms	l	@	0	(+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0)
9.0ms	d	@	0	(/ (* w0 (* (* M M) h)) (* (* d d) l))
2.0ms	D	@	0	(/ d (* M D))

simplify439.0ms (2.5%)

Memory

-12.8MiB live, 587.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 270×	`lower-*.f64`
4 270×	`lower-*.f32`
3 320×	`lower-fma.f64`
3 320×	`lower-fma.f32`
2 348×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	688	37351
1	2369	37159
0	8541	36082

Stop Event

1×	iter limit
1×	node limit

Counts

1 596 → 1 554

Calls

Call 1

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

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

rewrite250.0ms (1.4%)

Memory

4.8MiB live, 374.6MiB allocated

Rules

2 344×	`lower-*.f32`
2 316×	`lower-*.f64`
1 880×	`lower-/.f32`
1 873×	`lower-/.f64`
1 652×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	511
0	124	511
1	461	511
2	3611	504
0	8199	490

Stop Event

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

Counts

32 → 821

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 D (/.f64 M (.f64 #s(literal 4 binary64) l))) (.f64 d d)) (*.f64 D M))
(.f64 (/.f64 D (.f64 d (.f64 #s(literal 4 binary64) l))) (/.f64 M (/.f64 d (.f64 D M))))
(.f64 (/.f64 M (.f64 d (.f64 #s(literal 4 binary64) l))) (/.f64 D (/.f64 d (.f64 D M))))
(.f64 (/.f64 D (.f64 #s(literal 4 binary64) l)) (/.f64 M (.f64 (/.f64 d (.f64 D M)) d)))
(.f64 (/.f64 M (.f64 (/.f64 d (.f64 D M)) d)) (/.f64 D (.f64 #s(literal 4 binary64) l)))
(.f64 (/.f64 D l) (.f64 (/.f64 M (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 D M)))
(.f64 (/.f64 M l) (/.f64 D (.f64 (.f64 (/.f64 d (.f64 D M)) d) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 D M)) (*.f64 #s(literal 4 binary64) l)) M)
(.f64 (.f64 D (/.f64 M (.f64 #s(literal 4 binary64) l))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 d (*.f64 D M)) d)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 d (.f64 D M)) d) l) #s(literal 4 binary64))) (.f64 D M))
(.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 D M)) (/.f64 M (*.f64 #s(literal 4 binary64) l)))
(.f64 (/.f64 M (.f64 #s(literal 4 binary64) l)) (.f64 (/.f64 D (.f64 d d)) (*.f64 D M)))
(.f64 (.f64 (neg.f64 M) D) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 l) (.f64 (.f64 (/.f64 d (.f64 D M)) d) #s(literal 4 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 D M) (.f64 (.f64 (.f64 (/.f64 d (.f64 D M)) d) l) #s(literal 4 binary64))))
(.f64 (.f64 D M) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 d (.f64 D M)) d) l) #s(literal 4 binary64))))
(.f64 D (/.f64 M (.f64 (.f64 (.f64 (/.f64 d (*.f64 D M)) d) l) #s(literal 4 binary64))))
(.f64 D (.f64 M (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 d (.f64 D M)) d) l) #s(literal 4 binary64)))))
(.f64 M (/.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 D M)) (*.f64 #s(literal 4 binary64) l)))
(pow.f64 (/.f64 (.f64 (/.f64 d (.f64 D M)) d) (.f64 D (/.f64 M (.f64 #s(literal 4 binary64) l)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 d (.f64 D M)) d) l) #s(literal 4 binary64)) (*.f64 D M)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 d (.f64 D M)) d) l) #s(literal 4 binary64)) (*.f64 D M)) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 D (/.f64 M (.f64 #s(literal 4 binary64) l))) (/.f64 d (*.f64 D M))) d)
(/.f64 (/.f64 (.f64 D (/.f64 M (.f64 #s(literal 4 binary64) l))) d) (/.f64 d (*.f64 D M)))
(/.f64 (.f64 M (.f64 (/.f64 D (.f64 d d)) (.f64 D M))) (*.f64 #s(literal 4 binary64) l))
(/.f64 (.f64 (/.f64 M (.f64 #s(literal 4 binary64) l)) D) (.f64 (/.f64 d (.f64 D M)) d))
(/.f64 (/.f64 (.f64 D M) (.f64 d (.f64 #s(literal 4 binary64) l))) (/.f64 d (.f64 D M)))
(/.f64 (/.f64 (.f64 D M) (.f64 (/.f64 d (.f64 D M)) d)) (.f64 #s(literal 4 binary64) l))
(/.f64 (/.f64 (.f64 D M) l) (.f64 (.f64 (/.f64 d (.f64 D M)) d) #s(literal 4 binary64)))
(/.f64 (neg.f64 (.f64 D (/.f64 M (.f64 #s(literal 4 binary64) l)))) (neg.f64 (.f64 (/.f64 d (.f64 D M)) d)))
(/.f64 (neg.f64 (.f64 (neg.f64 M) D)) (neg.f64 (.f64 (neg.f64 l) (.f64 (.f64 (/.f64 d (*.f64 D M)) d) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 D M) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (/.f64 d (.f64 D M)) d) l) #s(literal 4 binary64)))
(/.f64 (.f64 D (/.f64 M (.f64 #s(literal 4 binary64) l))) (.f64 (/.f64 d (.f64 D M)) d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 d (.f64 D M)) d) l) #s(literal 4 binary64)) (*.f64 D M))))
(/.f64 (.f64 (neg.f64 M) D) (.f64 (neg.f64 l) (.f64 (.f64 (/.f64 d (*.f64 D M)) d) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 d (.f64 D M)) d) (.f64 D (/.f64 M (.f64 #s(literal 4 binary64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 d (.f64 D M)) d) l) #s(literal 4 binary64)) (*.f64 D M)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 d (.f64 D M)) d) l) #s(literal 4 binary64)) (*.f64 D M)))
(/.f64 (.f64 D M) (.f64 (.f64 (.f64 (/.f64 d (*.f64 D M)) d) l) #s(literal 4 binary64)))
(neg.f64 (/.f64 (.f64 (neg.f64 M) D) (.f64 (.f64 (.f64 (/.f64 d (*.f64 D M)) d) l) #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 l) (.f64 (.f64 (/.f64 d (.f64 D M)) d) #s(literal 4 binary64)))) (/.f64 (.f64 (neg.f64 M) D) (.f64 (.f64 (.f64 (/.f64 d (*.f64 D M)) d) l) #s(literal 4 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 d (.f64 D M)) d) l) #s(literal 4 binary64)) (.f64 D M))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (*.f64 D M)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (*.f64 D M)) #s(literal 1 binary64))))
(.f64 (pow.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (*.f64 D M)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 h M) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) M)) (*.f64 D (neg.f64 D)) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M)))) (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (*.f64 D M)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M)))) (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M)) #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (*.f64 D M))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M)) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (*.f64 D M)) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 (.f64 h M) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) M)) (.f64 D (neg.f64 D)) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))))))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (*.f64 D M)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M)))) (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) (.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M))) (fma.f64 (/.f64 (.f64 D M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) (.f64 h (.f64 D M)) #s(literal 1 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 l (.f64 (.f64 (.f64 M M) w0) (/.f64 h (.f64 d d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 d l) (/.f64 d (.f64 (.f64 (*.f64 h M) M) w0))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 d l) (/.f64 d (.f64 (.f64 (*.f64 h M) M) w0))))
(neg.f64 (/.f64 (.f64 (neg.f64 w0) (.f64 (.f64 h M) M)) (.f64 (*.f64 d d) l)))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 (neg.f64 l) (*.f64 d d))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 l) (.f64 d d))) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 (neg.f64 l) (*.f64 d d))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 d l) (/.f64 d (.f64 (.f64 (.f64 h M) M) w0)))) #s(literal -1 binary64)))
(.f64 (.f64 d l) d)
(.f64 (.f64 d d) l)
(.f64 d (.f64 d l))
(.f64 l (.f64 d d))
(.f64 (/.f64 (.f64 M M) d) (/.f64 h (*.f64 d l)))
(.f64 (/.f64 (.f64 M M) l) (/.f64 h (*.f64 d d)))
(.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l))
(.f64 (/.f64 (.f64 M M) (*.f64 d l)) (/.f64 h d))
(.f64 (/.f64 (.f64 M M) (*.f64 d d)) (/.f64 h l))
(.f64 (/.f64 M (.f64 d l)) (/.f64 (*.f64 h M) d))
(.f64 (/.f64 M l) (/.f64 (.f64 h M) (*.f64 d d)))
(.f64 (/.f64 h d) (/.f64 (.f64 M M) (*.f64 d l)))
(.f64 (/.f64 M d) (/.f64 (.f64 h M) (*.f64 d l)))
(.f64 (/.f64 M (.f64 d d)) (/.f64 (*.f64 h M) l))
(.f64 (/.f64 h (.f64 d l)) (/.f64 (*.f64 M M) d))
(.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M)
(.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 M M))
(.f64 (/.f64 h l) (/.f64 (.f64 M M) (*.f64 d d)))
(.f64 (.f64 (.f64 h M) M) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 d d) l)))
(.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l)))
(.f64 h (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(.f64 h (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) l)) (*.f64 M M)))
(.f64 M (.f64 (/.f64 h (.f64 (.f64 d d) l)) M))
(pow.f64 (/.f64 (.f64 (.f64 d d) l) (.f64 (.f64 h M) M)) #s(literal -1 binary64))
(/.f64 (.f64 (/.f64 h (.f64 d l)) (*.f64 M M)) d)
(/.f64 (.f64 (neg.f64 h) (.f64 M M)) (.f64 (neg.f64 l) (.f64 d d)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 M M)) (/.f64 (.f64 (.f64 d d) l) h))
(/.f64 (.f64 (.f64 M M) (/.f64 h (*.f64 d l))) d)
(/.f64 (.f64 (.f64 M M) (neg.f64 h)) (.f64 (neg.f64 l) (.f64 d d)))
(/.f64 (.f64 (.f64 M M) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 d d) l) h))
(/.f64 (/.f64 (.f64 (.f64 h M) M) (*.f64 d l)) d)
(/.f64 (/.f64 (.f64 (.f64 h M) M) (*.f64 d d)) l)
(/.f64 (/.f64 (.f64 (.f64 h M) M) d) (*.f64 d l))
(/.f64 (neg.f64 (.f64 (.f64 h M) M)) (.f64 (neg.f64 l) (.f64 d d)))
(/.f64 (/.f64 (.f64 (.f64 h M) M) l) (*.f64 d d))
(/.f64 (.f64 (.f64 h M) M) (.f64 (.f64 d d) l))
(/.f64 (.f64 M M) (/.f64 (.f64 (*.f64 d d) l) h))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 d d) l) (.f64 (.f64 h M) M)))
(.f64 (/.f64 h (.f64 d l)) (/.f64 #s(literal 1 binary64) d))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 d d) l)) h)
(.f64 (neg.f64 h) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 l) (*.f64 d d))))
(.f64 h (/.f64 #s(literal 1 binary64) (.f64 (*.f64 d d) l)))
(.f64 #s(literal 1 binary64) (/.f64 h (.f64 (*.f64 d d) l)))
(pow.f64 (/.f64 d (/.f64 h (*.f64 d l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (.f64 d d) l) h) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 d d) l) h) #s(literal -1 binary64))
(/.f64 (.f64 h #s(literal 1 binary64)) (.f64 (*.f64 d d) l))
(/.f64 (/.f64 h (*.f64 d d)) l)
(/.f64 (/.f64 h d) (*.f64 d l))
(/.f64 (neg.f64 (/.f64 h (*.f64 d l))) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 h)) (neg.f64 (.f64 (neg.f64 l) (.f64 d d))))
(/.f64 (/.f64 h (*.f64 d l)) d)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 d d) l) h)))
(/.f64 (neg.f64 h) (.f64 (neg.f64 l) (.f64 d d)))
(/.f64 (/.f64 h l) (*.f64 d d))
(/.f64 h (.f64 (.f64 d d) l))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 h (*.f64 d l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 d d) l) h) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 d d) l) h))
(neg.f64 (/.f64 (neg.f64 h) (.f64 (.f64 d d) l)))
(neg.f64 (/.f64 h (.f64 (neg.f64 l) (.f64 d d))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 l) (.f64 d d))) (/.f64 h (.f64 (neg.f64 l) (.f64 d d))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (*.f64 d d) l) h)) #s(literal -1 binary64)))
(.f64 (.f64 d (*.f64 #s(literal 4 binary64) l)) d)
(.f64 (.f64 d #s(literal 4 binary64)) (*.f64 d l))
(.f64 (.f64 (*.f64 d d) #s(literal 4 binary64)) l)
(.f64 (.f64 (*.f64 d d) l) #s(literal 4 binary64))
(.f64 (.f64 d d) (*.f64 #s(literal 4 binary64) l))
(.f64 (.f64 #s(literal 4 binary64) l) (*.f64 d d))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 d d) l))
(.f64 l (.f64 (*.f64 d d) #s(literal 4 binary64)))
(.f64 (.f64 h D) M)
(.f64 (.f64 h M) D)
(.f64 h (.f64 D M))
(.f64 (.f64 D M) h)
(.f64 D (.f64 h M))
(.f64 M (.f64 h D))
(.f64 (/.f64 M (.f64 (.f64 (/.f64 l h) #s(literal 4 binary64)) (.f64 d d))) (*.f64 D M))
(.f64 (/.f64 M (.f64 (.f64 (.f64 (/.f64 d (*.f64 D M)) d) l) #s(literal 4 binary64))) h)
(.f64 (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) M) h) (.f64 D M))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) M) D) (.f64 h M))
(.f64 (/.f64 M l) (/.f64 (.f64 h (.f64 D M)) (.f64 (*.f64 d d) #s(literal 4 binary64))))
(.f64 (/.f64 M #s(literal 4 binary64)) (/.f64 (.f64 h (.f64 D M)) (.f64 (*.f64 d d) l)))
(.f64 (/.f64 M (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 (.f64 h (*.f64 D M)) l))
(.f64 (.f64 (.f64 h (.f64 D M)) M) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)))
(.f64 (.f64 (.f64 h M) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) M)) D)
(.f64 (.f64 h (.f64 D M)) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) M))
(.f64 (.f64 h M) (.f64 D (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) M)))
(.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) M) (.f64 h (.f64 D M)))
(.f64 h (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) M)))
(.f64 D (.f64 (.f64 h M) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) M)))
(.f64 M (/.f64 (.f64 h (.f64 D M)) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)))
(.f64 M (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 d d) l)) (.f64 h (.f64 D M))))
(pow.f64 (/.f64 (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (/.f64 l (.f64 h (*.f64 D M)))) M) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d) (.f64 (.f64 h (.f64 D M)) M)) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (.f64 h (.f64 D M)) M) (.f64 (*.f64 d d) #s(literal 4 binary64))) l)
(/.f64 (/.f64 (.f64 (.f64 h (.f64 D M)) M) #s(literal 4 binary64)) (.f64 (*.f64 d d) l))
(/.f64 (/.f64 (.f64 (.f64 h (.f64 D M)) M) l) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (.f64 (/.f64 M (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 h (*.f64 D M))) l)
(/.f64 (.f64 (neg.f64 M) (.f64 h (.f64 D M))) (.f64 #s(literal -4 binary64) (.f64 (.f64 d d) l)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 h (.f64 D M))) (.f64 l (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) M)))
(/.f64 (.f64 (.f64 h (.f64 D M)) (/.f64 M (.f64 (*.f64 d d) #s(literal 4 binary64)))) l)
(/.f64 (.f64 (.f64 h (.f64 D M)) (neg.f64 M)) (.f64 #s(literal -4 binary64) (.f64 (.f64 d d) l)))
(/.f64 (.f64 (.f64 h (.f64 D M)) #s(literal 1 binary64)) (.f64 l (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) M)))
(/.f64 (/.f64 M (/.f64 l h)) (.f64 (.f64 (/.f64 d (*.f64 D M)) d) #s(literal 4 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 h (.f64 D M)) M)) (.f64 #s(literal -4 binary64) (.f64 (.f64 d d) l)))
(/.f64 (.f64 (.f64 h (.f64 D M)) M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d))
(/.f64 (.f64 (/.f64 M (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 D M)) (/.f64 l h))
(/.f64 (neg.f64 M) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 d d) l)) (.f64 h (*.f64 D M))))
(/.f64 (.f64 h (.f64 D M)) (.f64 l (/.f64 (.f64 (*.f64 d d) #s(literal 4 binary64)) M)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (/.f64 l (.f64 h (*.f64 D M)))) M))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d) (.f64 (.f64 h (.f64 D M)) M)))
(/.f64 M (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (/.f64 l (.f64 h (*.f64 D M)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 d d) l)) (.f64 h (.f64 D M)))) (/.f64 M (/.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 d d) l)) (.f64 h (.f64 D M)))))
(.f64 (/.f64 #s(literal -1/4 binary64) l) (.f64 M M))
(.f64 (/.f64 #s(literal 1 binary64) l) (.f64 #s(literal -1/4 binary64) (*.f64 M M)))
(.f64 (.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 #s(literal 1 binary64) l))
(.f64 #s(literal -1/4 binary64) (.f64 (*.f64 M M) (/.f64 #s(literal 1 binary64) l)))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M M) l))
(.f64 (.f64 M M) (/.f64 #s(literal -1/4 binary64) l))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) l)))
(.f64 M (/.f64 (.f64 #s(literal -1/4 binary64) M) l))
(.f64 M (.f64 (*.f64 #s(literal -1/4 binary64) M) (/.f64 #s(literal 1 binary64) l)))
(.f64 M (.f64 M (/.f64 #s(literal -1/4 binary64) l)))
(pow.f64 (/.f64 (/.f64 l (.f64 #s(literal -1/4 binary64) (.f64 M M))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (.f64 #s(literal -1/4 binary64) (.f64 M M))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M))) (neg.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 M M)) #s(literal 1 binary64)) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (.f64 #s(literal -1/4 binary64) (.f64 M M)))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) (neg.f64 l))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) l)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (.f64 #s(literal -1/4 binary64) (.f64 M M))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (.f64 #s(literal -1/4 binary64) (.f64 M M))))
(neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) l))
(neg.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) (neg.f64 l)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 l)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) (neg.f64 l)))
(exp.f64 (.f64 (log.f64 (/.f64 l (.f64 #s(literal -1/4 binary64) (*.f64 M M)))) #s(literal -1 binary64)))
(.f64 (.f64 h D) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 D d) h)
(*.f64 h (/.f64 D d))
(.f64 D (.f64 (/.f64 #s(literal 1 binary64) d) h))
(*.f64 D (/.f64 h d))
(pow.f64 (/.f64 d (*.f64 h D)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 D) h) (neg.f64 d))
(/.f64 (*.f64 h (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 h #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (*.f64 #s(literal 1 binary64) h) (/.f64 d D))
(/.f64 (neg.f64 (*.f64 h D)) (neg.f64 d))
(/.f64 (*.f64 h D) d)
(/.f64 h (/.f64 d D))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 h D)))

eval423.0ms (2.4%)

Memory: 4.7MiB live, 573.8MiB allocated
Compiler: Compiled 76 166 to 3 895 computations (94.9% saved)

prune1.3s (7.5%)

Memory

0.6MiB live, 1 792.3MiB allocated

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	2 378	17	2 395
Fresh	5	4	9
Picked	3	2	5
Done	0	1	1
Total	2 386	24	2 410

Accuracy

92.6%

Counts

2 410 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.1%	(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 3 binary64)))) w0) (sqrt.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) h #s(literal 1 binary64)) (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 1 binary64))))
	82.5%	(.f64 (sqrt.f64 (fma.f64 (neg.f64 D) (/.f64 (.f64 (.f64 h (.f64 D M)) M) (.f64 (.f64 d (*.f64 #s(literal 4 binary64) l)) d)) #s(literal 1 binary64))) w0)
	14.9%	(.f64 (sqrt.f64 #s(approx (+ ( (neg D) (* (/ M (* (* 4 (* d d)) l)) (* (* h M) D))) 1) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))) w0)
	82.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 D d) M))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
	83.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) h) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) (/.f64 D (.f64 d l))) #s(literal 1 binary64))))
▶	86.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M (/.f64 (.f64 #s(literal -1/4 binary64) M) l)) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))))
✓	88.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 d (/.f64 d (*.f64 M D))))) h))))
	75.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
	70.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
	68.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 (.f64 h M) M) (*.f64 d l)) d) #s(literal 1 binary64)))))
▶	61.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 M l) (/.f64 (.f64 h M) (*.f64 d d))) #s(literal 1 binary64)))))
✓	60.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 l d) d))) #s(literal 1 binary64)))))
✓	71.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	63.5%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0))
	64.6%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 d l)) w0))
	70.9%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 (.f64 w0 (/.f64 h (.f64 (.f64 d d) l))) (.f64 M M)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
	54.1%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) w0) (/.f64 h (.f64 d d))) l) w0))
	60.6%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (.f64 M M) h)) (.f64 (*.f64 d l) d)) w0))
	60.8%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 h M) M) (.f64 d l)) (/.f64 w0 d)) w0))
	62.7%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) w0) (.f64 d l)) (/.f64 h d)) w0))
▶	61.0%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) w0) d) (/.f64 h (.f64 d l))) w0))
	54.0%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) w0) (/.f64 h (.f64 (*.f64 d d) l))) w0))
	53.8%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) M) M) (/.f64 h (.f64 l (*.f64 d d)))) w0)))
▶	13.7%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (.f64 d d))))))

Compiler

Compiled 1 300 to 770 computations (40.8% saved)

simplify152.0ms (0.9%)

Memory

30.6MiB live, 214.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3 126×	`lower-*.f32`
3 104×	`lower-*.f64`
2 471×	`lower-/.f32`
2 462×	`lower-/.f64`
629×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	670
0	123	670
1	293	668
2	1078	668
3	4089	668
4	7467	668
0	8136	665

Stop Event

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

Calls

Call 1

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

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

localize211.0ms (1.2%)

Memory

19.6MiB live, 334.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.288137560860724	(.f64 (/.f64 M l) (/.f64 (.f64 h M) (*.f64 d d)))
accuracy	5.385108541762056	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 M l) (/.f64 (.f64 h M) (*.f64 d d))) #s(literal 1 binary64))))
accuracy	10.108525187519549	(/.f64 (.f64 h M) (.f64 d d))
accuracy	13.513142096235494	(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 M l) (/.f64 (.f64 h M) (*.f64 d d))) #s(literal 1 binary64))
accuracy	7.838922895082975	(.f64 (.f64 (*.f64 h M) M) w0)
accuracy	7.903075502794899	(fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0)
accuracy	10.54907547825516	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) d) w0))
accuracy	11.723393174542483	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (*.f64 d l))
accuracy	5.840949032909528	(.f64 (/.f64 (.f64 (.f64 M M) w0) d) (/.f64 h (.f64 d l)))
accuracy	7.421439390468592	(.f64 (.f64 M M) w0)
accuracy	10.54907547825516	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) w0) d) (/.f64 h (.f64 d l))) w0))
accuracy	13.949131473471382	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) w0) d) (/.f64 h (.f64 d l))) w0)
accuracy	9.304459478487463	(/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (*.f64 d d)))
accuracy	10.54907547825516	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (.f64 d d))))))
accuracy	16.330811269625983	(.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (.f64 d d))))
accuracy	43.08871318663299	#s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (.f64 d d)))))
accuracy	2.4310481731303653	(fma.f64 (.f64 (.f64 M (/.f64 (.f64 #s(literal -1/4 binary64) M) l)) (/.f64 D d)) (.f64 (/.f64 D d) h) #s(literal 1 binary64))
accuracy	3.699820669062722	(*.f64 (/.f64 D d) h)
accuracy	5.385108541762056	(sqrt.f64 (fma.f64 (.f64 (.f64 M (/.f64 (.f64 #s(literal -1/4 binary64) M) l)) (/.f64 D d)) (.f64 (/.f64 D d) h) #s(literal 1 binary64)))
accuracy	6.296521408757632	(.f64 (.f64 M (/.f64 (*.f64 #s(literal -1/4 binary64) M) l)) (/.f64 D d))

Samples

123.0ms

256×

valid

Compiler

Compiled 517 to 77 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 51.0ms (57.3% of total)

ival-div: 23.0ms (25.8% of total)

ival-add: 5.0ms (5.6% of total)

ival-sqrt: 5.0ms (5.6% of total)

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

ival-pow2: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series109.0ms (0.6%)

Memory

-17.0MiB live, 169.1MiB allocated

Counts

25 → 1 356

Calls

Call 1

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

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

Calls

339 calls:

Time	Variable		Expression
8.0ms	l	@	(* (* -1/8 (* D D)) (/ (* (* h (* M M)) w0) (* l (* d d))))
1.0ms	D	@	(/ (* -1/8 (* D D)) (* d l))
1.0ms	l	@	(/ (* -1/8 (* D D)) (* d l))
1.0ms	D	@	(* (* -1/8 (* D D)) (/ (* (* h (* M M)) w0) (* l (* d d))))
1.0ms	d	@	(/ (* -1/8 (* D D)) (* d l))

simplify285.0ms (1.6%)

Memory

5.6MiB live, 391.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 209×	`lower-*.f64`
4 209×	`lower-*.f32`
3 320×	`lower-fma.f64`
3 320×	`lower-fma.f32`
2 312×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	679	32182
1	2338	32054
0	8446	31123

Stop Event

1×	iter limit
1×	node limit

Counts

1 356 → 1 300

Calls

Call 1

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

rewrite664.0ms (3.7%)

Memory

-111.8MiB live, 293.2MiB allocated

Rules

4 280×	`lower-*.f32`
4 258×	`lower-*.f64`
2 653×	`lower-/.f32`
2 644×	`lower-/.f64`
1 898×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	523
0	123	521
1	498	521
2	3678	518
0	11133	515

Stop Event

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

Counts

25 → 744

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) (.f64 h (/.f64 D d))) (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) (.f64 (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l)) (/.f64 D d))) h (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (*.f64 d l)))))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) (.f64 h (/.f64 D d))) (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (*.f64 d l)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) (.f64 (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l)) (/.f64 D d))) h (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) (.f64 h (/.f64 D d))) (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (*.f64 d l)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) (.f64 h (/.f64 D d))) (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (*.f64 d l)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) (.f64 (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l)) (/.f64 D d))) h (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l)))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) (.f64 h (/.f64 D d))) (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (*.f64 d l)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) (.f64 h (/.f64 D d))) (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l))) (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (*.f64 d l))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) (.f64 (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l)) (/.f64 D d))) h (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) (.f64 h (/.f64 D d))) (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (*.f64 d l)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) (.f64 (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l)) (/.f64 D d))) h (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 h (/.f64 D d)) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) M) l) M)) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (*.f64 d l)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (*.f64 d l)) h) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 D (.f64 h D)) (.f64 d d)) (.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) M) l) M) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l)) (/.f64 D d)) (.f64 h #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (*.f64 d l)) (/.f64 D d)) h #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) #s(literal 1 binary64))
(fma.f64 (.f64 h (/.f64 D d)) (.f64 (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 h (/.f64 D d)) (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (*.f64 d l)) #s(literal 1 binary64))
(fma.f64 h (.f64 (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (*.f64 d l)) (/.f64 D d)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l)) (.f64 (.f64 h (/.f64 D d)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l)) (*.f64 h (/.f64 D d)) #s(literal 1 binary64))
(fma.f64 (/.f64 D d) (.f64 h (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (*.f64 d l))) #s(literal 1 binary64))
(fma.f64 (/.f64 D d) (.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) M) l) M) (.f64 h (/.f64 D d))) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) M) l) M) (.f64 (/.f64 (.f64 D (.f64 h D)) (.f64 d d)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) M) l) M) (/.f64 (.f64 D (.f64 h D)) (*.f64 d d)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) M) l) (.f64 M (/.f64 (.f64 D (.f64 h D)) (*.f64 d d))) #s(literal 1 binary64))
(fma.f64 M (.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l)) (*.f64 h (/.f64 D d))) #s(literal 1 binary64))
(fma.f64 M (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) M) l) (/.f64 (.f64 D (.f64 h D)) (*.f64 d d))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) (.f64 h (/.f64 D d))) (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l))) (fma.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (*.f64 d l)) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))))
(.f64 (.f64 (/.f64 D d) M) (/.f64 (*.f64 #s(literal -1/4 binary64) M) l))
(.f64 (.f64 D (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) M) l) M)) (/.f64 #s(literal 1 binary64) d))
(.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l)) M)
(.f64 (/.f64 D d) (.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) M) l) M))
(.f64 D (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) M) l) M)))
(.f64 (.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) M) l) M) (/.f64 D d))
(.f64 (/.f64 (.f64 #s(literal -1/4 binary64) M) l) (*.f64 M (/.f64 D d)))
(.f64 M (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l)))
(pow.f64 (/.f64 d (.f64 D (.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) M) l) M))) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) M) l) M)) (neg.f64 d))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) M) l) M)) (/.f64 d D))
(/.f64 (.f64 (.f64 (*.f64 #s(literal -1/4 binary64) M) M) (/.f64 D d)) l)
(/.f64 (.f64 (/.f64 D d) (.f64 (*.f64 #s(literal -1/4 binary64) M) M)) l)
(/.f64 (.f64 (.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) M) l) M) (neg.f64 D)) (neg.f64 d))
(/.f64 (.f64 (.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) M) l) M) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (neg.f64 (.f64 D (.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) M) l) M))) (neg.f64 d))
(/.f64 (.f64 (neg.f64 D) (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 (neg.f64 d) l))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 (/.f64 d D) l))
(/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l))
(/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) M) (neg.f64 D)) (.f64 (neg.f64 d) l))
(/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) M) #s(literal 1 binary64)) (.f64 l (/.f64 d D)))
(/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) M) D) (.f64 d l))
(/.f64 (.f64 D (.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) M) l) M)) d)
(/.f64 #s(literal 1 binary64) (/.f64 d (.f64 D (.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) M) l) M))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) M) l) M) (/.f64 d D))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l)) #s(literal 1 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (*.f64 d l)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l))) (.f64 h (/.f64 D d))) (/.f64 (.f64 D (.f64 (.f64 #s(literal -1/4 binary64) M) M)) (.f64 d l)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 h (/.f64 D d)) M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) M) D) (.f64 d l)) #s(literal -1 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 D D) D)) #s(literal -1/64 binary64)) (.f64 (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d)))) (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 D D)) (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 D D))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))))))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 D D)) (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 D D))) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 h M) (/.f64 M (.f64 (*.f64 d l) d))) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 D D) D)) #s(literal -1/64 binary64)) (.f64 (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d)))) (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 D D)) (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 D D)))) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 h M) (/.f64 M (.f64 (*.f64 d l) d)))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 D D) D)) #s(literal -1/64 binary64)) (.f64 (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d)))) (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 D D)) (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 D D))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 D D)) (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (*.f64 D D))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 D D)) (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 D D))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d)))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 D D) D)) #s(literal -1/64 binary64)) (.f64 (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d)))) (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d)))) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 D (/.f64 M l))) (/.f64 h d)) (/.f64 M d) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 D (/.f64 M l))) (.f64 h M)) (/.f64 #s(literal 1 binary64) (.f64 d d)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 D (/.f64 M l))) h) (/.f64 M (*.f64 d d)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (/.f64 M (*.f64 d d)) h)) (/.f64 M l) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 D #s(literal -1/4 binary64))) D #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) #s(literal -1/4 binary64)) (.f64 D D) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 D D)) #s(literal -1/4 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 D (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d)))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 D (/.f64 M l))) (.f64 (.f64 (/.f64 M (.f64 d d)) h) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 D (/.f64 M l))) (.f64 (/.f64 M (*.f64 d d)) h) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 h M) (/.f64 M (.f64 (*.f64 d l) d)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (*.f64 d l) d))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 (.f64 (*.f64 D D) #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 (.f64 D D) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 M (.f64 d d)) h) (.f64 (.f64 D #s(literal -1/4 binary64)) (*.f64 D (/.f64 M l))) #s(literal 1 binary64))
(fma.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M (.f64 d d)) h) (.f64 (*.f64 D D) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 D D) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 h M) (/.f64 M (.f64 (*.f64 d l) d)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (*.f64 D D)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 D D)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 D D)) (.f64 (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) (.f64 D D)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 h M) (/.f64 M (.f64 (.f64 d l) d))) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 h M) (/.f64 M (.f64 (*.f64 d l) d)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 h M) (/.f64 M (.f64 (*.f64 d l) d)))))
(.f64 (/.f64 M (.f64 d d)) h)
(.f64 (.f64 M (/.f64 h d)) (/.f64 #s(literal 1 binary64) d))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d d)) (*.f64 h M))
(*.f64 (/.f64 M d) (/.f64 h d))
(*.f64 (/.f64 h d) (/.f64 M d))
(.f64 (.f64 (neg.f64 h) M) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 d) d)))
(.f64 (.f64 h M) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 M (*.f64 d d)) h))
(.f64 h (/.f64 M (.f64 d d)))
(.f64 M (.f64 h (/.f64 #s(literal 1 binary64) (*.f64 d d))))
(.f64 M (/.f64 h (.f64 d d)))
(pow.f64 (/.f64 d (*.f64 M (/.f64 h d))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 d (/.f64 d (.f64 h M))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 d (/.f64 d (.f64 h M))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 h d) M) d)
(/.f64 (neg.f64 (*.f64 M (/.f64 h d))) (neg.f64 d))
(/.f64 (neg.f64 (.f64 (neg.f64 h) M)) (neg.f64 (.f64 (neg.f64 d) d)))
(/.f64 (.f64 (.f64 h M) #s(literal 1 binary64)) (*.f64 d d))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 d (/.f64 d (.f64 h M)))))
(/.f64 (*.f64 M (/.f64 h d)) d)
(/.f64 (.f64 (neg.f64 h) M) (.f64 (neg.f64 d) d))
(/.f64 (.f64 h M) (.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 M (/.f64 h d))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (/.f64 d (.f64 h M))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 d (/.f64 d (.f64 h M))))
(neg.f64 (/.f64 (.f64 (neg.f64 h) M) (.f64 d d)))
(neg.f64 (/.f64 (.f64 h M) (.f64 (neg.f64 d) d)))
(exp.f64 (.f64 (log.f64 (.f64 d (/.f64 d (*.f64 h M)))) #s(literal -1 binary64)))

eval370.0ms (2.1%)

Memory: 28.9MiB live, 285.0MiB allocated
Compiler: Compiled 60 340 to 2 592 computations (95.7% saved)

prune1.5s (8.4%)

Memory

24.7MiB live, 1 261.3MiB allocated

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	2 040	20	2 060
Fresh	7	9	16
Picked	3	2	5
Done	0	3	3
Total	2 050	34	2 084

Accuracy

92.6%

Counts

2 084 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.1%	(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 3 binary64)))) w0) (sqrt.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d)))) l) h #s(literal 1 binary64)) (.f64 (/.f64 h l) (.f64 (.f64 D M) (/.f64 (.f64 D M) (.f64 #s(literal 4 binary64) (.f64 d d))))) #s(literal 1 binary64))))
	82.5%	(.f64 (sqrt.f64 (fma.f64 (neg.f64 D) (/.f64 (.f64 (.f64 h (.f64 D M)) M) (.f64 (.f64 d (*.f64 #s(literal 4 binary64) l)) d)) #s(literal 1 binary64))) w0)
	14.9%	(.f64 (sqrt.f64 #s(approx (+ ( (neg D) (* (/ M (* (* 4 (* d d)) l)) (* (* h M) D))) 1) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (*.f64 d d))))))) w0)
	63.2%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 h D)) (.f64 d d)) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) M) l) M) #s(literal 1 binary64))))
	87.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) M) l) (.f64 M (/.f64 D d))) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))))
	83.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) h) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) (/.f64 D (.f64 d l))) #s(literal 1 binary64))))
✓	86.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M (/.f64 (.f64 #s(literal -1/4 binary64) M) l)) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))))
✓	88.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 d (/.f64 d (*.f64 M D))))) h))))
	75.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
	70.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
	68.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 (.f64 h M) M) (*.f64 d l)) d) #s(literal 1 binary64)))))
✓	61.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 M l) (/.f64 (.f64 h M) (*.f64 d d))) #s(literal 1 binary64)))))
✓	60.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 l d) d))) #s(literal 1 binary64)))))
✓	71.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	64.6%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 d l)) w0))
	73.9%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) D) l) (/.f64 D d)) (/.f64 (.f64 (.f64 (*.f64 h M) M) w0) d) w0))
	70.9%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 (.f64 w0 (/.f64 h (.f64 (.f64 d d) l))) (.f64 M M)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
	75.5%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 D (.f64 (.f64 (.f64 h M) M) w0))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d l) d)) w0))
	53.8%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (/ (* -1/8 (* D D)) (* d l)) (/ (* (* (* h M) M) w0) d)) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) M) M) (/.f64 h (.f64 l (*.f64 d d)))) w0)))
	14.7%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 #s(literal 1/8 binary64) (.f64 D D))) (.f64 (.f64 (neg.f64 d) l) d))))
	14.5%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) D) D) (.f64 M M)) (/.f64 w0 d)) (.f64 d (/.f64 l h)))))
	15.8%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 d l))) (.f64 (.f64 (*.f64 h M) M) w0)) d)))
	15.5%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 D (.f64 (.f64 (.f64 h M) M) w0))) (.f64 (.f64 d l) d))))
	14.6%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) D) D) (.f64 (.f64 d d) (/.f64 l (.f64 (.f64 (*.f64 h M) M) w0))))))
	15.6%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d l) d)) (.f64 (.f64 h M) M)) (.f64 #s(literal -1/8 binary64) D)) D)))
	15.8%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 d l))) (.f64 (*.f64 h M) M)) (/.f64 w0 d))))
	15.5%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 D (.f64 (.f64 (.f64 h M) M) w0))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 d l) d)))))
	14.9%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (/.f64 h d) (.f64 (.f64 M M) w0)) (*.f64 d l)))))
	15.3%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 h M) M) (*.f64 d l)) (/.f64 w0 d)))))
	14.6%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 h M) l) (/.f64 (.f64 w0 M) (*.f64 d d))))))
	14.8%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 w0 (/.f64 M l)) (.f64 (/.f64 M (*.f64 d d)) h)))))
	15.0%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 h M) (/.f64 (.f64 w0 M) (.f64 (.f64 d l) d))))))
	14.3%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (.f64 h (/.f64 w0 (.f64 (.f64 d l) d)))))))
	14.4%	#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 (.f64 M M) w0) (.f64 (.f64 d l) d))))))

Compiler

Compiled 2 437 to 931 computations (61.8% saved)

regimes376.0ms (2.1%)

Memory

22.9MiB live, 530.9MiB allocated

Counts

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

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

Calls

15 calls:

44.0ms	l
43.0ms	(.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)))))
42.0ms	(*.f64 #s(literal 2 binary64) d)
36.0ms	(/.f64 h l)
22.0ms	M

Results

Accuracy	Segments	Branch
90.1%	1	`w0`
90.1%	1	`M`
90.1%	1	`D`
90.1%	1	`h`
90.1%	1	`l`
90.1%	1	`d`
90.1%	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)))))`
90.1%	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))))`
90.1%	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)))`
90.1%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
90.1%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
90.1%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
90.1%	1	`(*.f64 M D)`
90.1%	1	`(*.f64 #s(literal 2 binary64) d)`
90.1%	1	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes263.0ms (1.5%)

Memory

-19.8MiB live, 336.8MiB allocated

Counts

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

Outputs

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

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

Calls

15 calls:

21.0ms	(-.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)))
20.0ms	l
20.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
20.0ms	M
20.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
88.2%	1	`l`
90.6%	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)))))`
90.6%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
90.6%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
90.4%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
90.4%	2	`M`
88.2%	1	`d`
90.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
90.4%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.2%	1	`(*.f64 M D)`
88.2%	1	`(*.f64 #s(literal 2 binary64) d)`
88.2%	1	`D`
88.2%	1	`h`
88.2%	1	`(/.f64 h l)`
88.2%	1	`w0`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes99.0ms (0.6%)

Memory

7.6MiB live, 82.3MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

32.0ms	(-.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)))
22.0ms	M
15.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
13.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
13.0ms	(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
90.4%	2	`M`
90.0%	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)))))`
90.0%	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))))`
90.0%	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)))`
90.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 93 to 67 computations (28% saved)

regimes22.0ms (0.1%)

Memory

-15.3MiB live, 27.2MiB allocated

Counts

52 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
90.4%	2	`M`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes102.0ms (0.6%)

Memory

27.5MiB live, 187.8MiB allocated

Counts

51 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

17.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
16.0ms	(.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)))))
15.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
14.0ms	M
13.0ms	(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
88.2%	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)))))`
88.2%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.2%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.2%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
90.0%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
90.0%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.2%	1	`M`

Compiler

Compiled 121 to 88 computations (27.3% saved)

regimes257.0ms (1.4%)

Memory

-24.7MiB live, 301.2MiB allocated

Counts

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

Outputs

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

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

Calls

15 calls:

41.0ms	d
32.0ms	l
18.0ms	(*.f64 #s(literal 2 binary64) d)
18.0ms	(/.f64 h l)
16.0ms	D

Results

Accuracy	Segments	Branch
83.7%	1	`l`
86.7%	2	`M`
87.9%	2	`D`
83.7%	1	`h`
83.7%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
86.7%	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))))`
86.7%	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)))`
88.1%	3	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
83.7%	1	`(/.f64 h l)`
83.7%	1	`w0`
88.0%	3	`d`
88.7%	3	`(*.f64 M D)`
88.0%	3	`(*.f64 #s(literal 2 binary64) d)`
85.7%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
85.7%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes63.0ms (0.4%)

Memory

24.2MiB live, 99.5MiB allocated

Counts

45 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

13.0ms	(*.f64 M D)
13.0ms	D
12.0ms	M
11.0ms	(-.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)))
10.0ms	(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
86.7%	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))))`
86.7%	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)))`
85.3%	2	`M`
86.6%	2	`(*.f64 M D)`
86.2%	2	`D`

Compiler

Compiled 66 to 50 computations (24.2% saved)

regimes204.0ms (1.1%)

Memory

1.3MiB live, 332.4MiB allocated

Counts

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

Outputs

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

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

Calls

15 calls:

24.0ms	w0
17.0ms	(/.f64 h l)
15.0ms	(*.f64 #s(literal 2 binary64) d)
15.0ms	(*.f64 M D)
15.0ms	D

Results

Accuracy	Segments	Branch
83.6%	2	`M`
82.3%	3	`l`
83.3%	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)))))`
82.9%	2	`(/.f64 h l)`
79.0%	2	`w0`
76.5%	1	`h`
83.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
83.5%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.2%	3	`D`
83.9%	2	`d`
83.9%	2	`(*.f64 #s(literal 2 binary64) d)`
84.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
84.8%	2	`(*.f64 M D)`
84.5%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
84.5%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes57.0ms (0.3%)

Memory

-0.0MiB live, 83.3MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

17.0ms	D
10.0ms	(*.f64 M D)
9.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
9.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
9.0ms	(-.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
83.8%	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))))`
83.8%	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)))`
84.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
84.3%	3	`D`
84.8%	3	`(*.f64 M D)`

Compiler

Compiled 78 to 57 computations (26.9% saved)

regimes98.0ms (0.6%)

Memory

15.8MiB live, 149.3MiB allocated

Counts

37 → 2

Calls

Call 1

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

9 calls:

18.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
11.0ms	(*.f64 #s(literal 2 binary64) d)
11.0ms	d
10.0ms	(.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)))))
10.0ms	M

Results

Accuracy	Segments	Branch
82.2%	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)))))`
82.4%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
82.4%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
81.3%	2	`M`
82.6%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
82.6%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
80.2%	2	`d`
80.2%	2	`(*.f64 #s(literal 2 binary64) d)`
83.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 137 to 102 computations (25.5% saved)

regimes32.0ms (0.2%)

Memory

-25.8MiB live, 52.1MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
79.8%	2	`(/.f64 h l)`
81.7%	2	`(*.f64 M D)`
82.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 37 to 27 computations (27% saved)

regimes9.0ms (0%)

Memory

15.8MiB live, 15.8MiB 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 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 (.f64 M M) w0) (.f64 (.f64 d l) d))))))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (.f64 h (/.f64 w0 (.f64 (.f64 d l) d)))))))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 h M) (/.f64 (.f64 w0 M) (.f64 (.f64 d l) d))))))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 h (.f64 M M)) w0) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d l) d)) (.f64 (.f64 h M) M)) (.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 D (.f64 (.f64 (.f64 h M) M) w0))) (.f64 (.f64 d l) 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)) w0) (.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) M) M) (/.f64 h (.f64 l (*.f64 d d)))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (/ (* -1/8 (* D D)) (* d l)) (/ (* (* (* h M) M) w0) d)) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) M) M) (/.f64 h (.f64 l (*.f64 d d)))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) w0) (/.f64 h (.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (.f64 M M) h)) (.f64 (*.f64 d l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 (.f64 w0 (/.f64 h (.f64 (.f64 d d) l))) (.f64 M M)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 l (.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 (/ ( D M) (* (/ l h) (/ (* 4 (* d d)) (* D M)))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 #s(literal 1/8 binary64) (.f64 D D))) (.f64 (.f64 (neg.f64 d) l) d))))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 D (.f64 (.f64 (.f64 h M) M) w0))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 d l) d)))))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 w0 (/.f64 M l)) (.f64 (/.f64 M (*.f64 d d)) h)))))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 h M) l) (/.f64 (.f64 w0 M) (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 h M) M) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (/.f64 h d) (.f64 (.f64 M M) w0)) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 d l))) (.f64 (*.f64 h M) M)) (/.f64 w0 d))))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) D) D) (.f64 (.f64 d d) (/.f64 l (.f64 (.f64 (*.f64 h M) M) w0))))))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 D (.f64 d l))) (.f64 (.f64 (*.f64 h M) M) w0)) d)))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 D (.f64 (.f64 (.f64 h M) M) w0))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) w0) d) (/.f64 h (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) w0) (.f64 d l)) (/.f64 h d)) w0))

Outputs

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

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

Calls

1 calls:

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
82.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes13.0ms (0.1%)

Memory

-15.9MiB live, 22.9MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
81.2%	2	`D`
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 26 to 19 computations (26.9% saved)

regimes11.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

3 → 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 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 (*.f64 M M) w0) (*.f64 (*.f64 d l) d))))))

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
82.3%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
80.0%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
80.1%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
82.2%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
82.2%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
82.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 114 to 82 computations (28.1% saved)

regimes2.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 (*.f64 M M) w0) (*.f64 (*.f64 d l) d))))))

Outputs

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
82.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes21.0ms (0.1%)

Memory

3.7MiB live, 44.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

15 calls:

3.0ms	(*.f64 M D)
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	M
1.0ms	d
1.0ms	l

Results

Accuracy	Segments	Branch
71.2%	1	`h`
71.2%	1	`w0`
71.2%	1	`(/.f64 h l)`
71.2%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
71.2%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
71.2%	1	`d`
71.2%	1	`(*.f64 #s(literal 2 binary64) d)`
71.2%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
71.2%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
71.2%	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)))))`
71.2%	1	`l`
71.2%	1	`D`
71.2%	1	`M`
71.2%	1	`(*.f64 M D)`
71.2%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 183 to 140 computations (23.5% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.357017495725794e-44	0.0004542243788244425

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch10.0ms (0.1%)

Memory

-22.0MiB live, 17.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
8.0ms	3.2995369161407963e-110	2.0137929029062382e-109

Samples

6.0ms

64×

valid

Compiler

Compiled 255 to 174 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (28.1% of total)

ival-mult: 1.0ms (28.1% of total)

ival-pow2: 1.0ms (28.1% 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)

bsearch3.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	6.0718880864014676e-89	8.35844635085031e-89

Samples

1.0ms	16×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 84 to 63 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

ival-mult: 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

1×	left-value

Steps

Time	Left	Right
0.0ms	7.528853639424186e+143	1.0372738996376047e+145

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch37.0ms (0.2%)

Memory

-20.9MiB live, 17.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	6.008532756712758e+105	2.1201366324905307e+106

Samples

7.0ms	80×	0	valid
1.0ms	8×	0	invalid

Compiler

Compiled 317 to 221 computations (30.3% saved)

Precisions

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

ival-mult: 2.0ms (40.1% of total)

ival-div: 1.0ms (20.1% of total)

ival-sqrt: 1.0ms (20.1% of total)

ival-pow2: 1.0ms (20.1% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000023224557717

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5278644062817985e-84	1.9891843619188115e-83

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.50597247205594e+59	-3.489437107692152e+38

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.50597247205594e+59	-3.489437107692152e+38

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.1675444099279158e+80	-8.598036177105385e+78

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.1675444099279158e+80	-8.598036177105385e+78

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.1675444099279158e+80	-8.598036177105385e+78

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.1293820170785613e+94	-2.1675444099279158e+80

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.1675444099279158e+80	-8.598036177105385e+78

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify21.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Rules

81×	`*-commutative_binary64`
24×	`+-commutative_binary64`
24×	`sub-neg_binary64`
22×	`neg-sub0_binary64`
22×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	1063
1	278	1063
2	310	1063
3	351	1063
4	397	1063
5	426	1063
6	441	1063
7	446	1063

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 8034690221294951/200867255532373784442745261542645325315275374222849104412672 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 D d) M))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M (/.f64 (.f64 #s(literal -1/4 binary64) M) l)) (/.f64 D d)) (.f64 (/.f64 D d) h) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 3384606560206073/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 d (/.f64 d (.f64 M D))))) h)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) M) l) (.f64 M (/.f64 D d))) (.f64 (/.f64 D d) h) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 5733746539975179/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 d (/.f64 d (.f64 M D))))) h)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M (/.f64 (.f64 #s(literal -1/4 binary64) M) l)) (/.f64 D d)) (.f64 (/.f64 D d) h) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 d (/.f64 d (.f64 M D))))) h)))) (.f64 (sqrt.f64 (fma.f64 (neg.f64 D) (/.f64 (.f64 (.f64 h (.f64 D M)) M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) #s(literal 1 binary64))) w0))
(if (<=.f64 D #s(literal 13000000000000000979764390021341046509141333096343509137862255220699548700342689462362304150470425229393920 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 (.f64 h M) M) (.f64 d l)) d) #s(literal 1 binary64))))) (.f64 (sqrt.f64 (fma.f64 (neg.f64 D) (/.f64 (.f64 (.f64 h (.f64 D M)) M) (.f64 (.f64 d (.f64 #s(literal 4 binary64) l)) d)) #s(literal 1 binary64))) w0))
(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 1 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 (neg.f64 D) (/.f64 (.f64 (.f64 h (.f64 D M)) M) (.f64 (.f64 d (*.f64 #s(literal 4 binary64) l)) d)) #s(literal 1 binary64))) w0))
(if (<=.f64 (.f64 M D) #s(literal 546812681195753/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 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 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -199999999999999994337576099120928401699872656732354315812864 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/4 binary64) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -199999999999999994337576099120928401699872656732354315812864 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 l d) d))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000000000053219729416734553074804802362401618196263954906979517832626176 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 h M) M) (.f64 d l)) (/.f64 w0 d)) w0)) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000000000053219729416734553074804802362401618196263954906979517832626176 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 h M) M) (.f64 d l)) (/.f64 w0 d))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000000000053219729416734553074804802362401618196263954906979517832626176 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 h M) (/.f64 (.f64 w0 M) (.f64 (.f64 d l) d)))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (.f64 h (/.f64 w0 (.f64 (.f64 d l) d))))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000000000053219729416734553074804802362401618196263954906979517832626176 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 (.f64 M M) w0) (.f64 (.f64 d l) d)))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (.f64 (.f64 h (/.f64 M d)) (.f64 D #s(literal 1/2 binary64))) (neg.f64 l)) #s(literal 1 binary64))) w0)
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 8034690221294951/200867255532373784442745261542645325315275374222849104412672 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 D d) M))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M (/.f64 (.f64 #s(literal -1/4 binary64) M) l)) (/.f64 D d)) (.f64 (/.f64 D d) h) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal 8034690221294951/200867255532373784442745261542645325315275374222849104412672 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) (/.f64 h l)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))) w0) (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) M) l) M) (/.f64 D d)) (.f64 (/.f64 D d) h) #s(literal 1 binary64))) w0))
(if (<=.f64 M #s(literal 3384606560206073/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 d (/.f64 d (.f64 M D))))) h)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) M) l) (.f64 M (/.f64 D d))) (.f64 (/.f64 D d) h) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 3384606560206073/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D M) (.f64 (.f64 #s(literal 4 binary64) l) (.f64 (/.f64 d (.f64 D M)) d))) h))) w0) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) M) l) (.f64 (/.f64 D d) M)) (.f64 (/.f64 D d) h) #s(literal 1 binary64))) w0))
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(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 1 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 (neg.f64 D) (/.f64 (.f64 (.f64 h (.f64 D M)) M) (.f64 (.f64 d (*.f64 #s(literal 4 binary64) l)) d)) #s(literal 1 binary64))) w0))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (.f64 (sqrt.f64 (fma.f64 (neg.f64 D) (/.f64 (.f64 (.f64 (.f64 D M) h) M) (.f64 (.f64 (*.f64 #s(literal 4 binary64) l) d) d)) #s(literal 1 binary64))) w0))
(if (<=.f64 (.f64 M D) #s(literal 546812681195753/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 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 (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M) (.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64))))))
(if (<=.f64 (.f64 D M) #s(literal 546812681195753/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) D) (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) M) M)) D #s(literal 1 binary64)))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -199999999999999994337576099120928401699872656732354315812864 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/4 binary64) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -199999999999999994337576099120928401699872656732354315812864 binary64)) (.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) w0) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -199999999999999994337576099120928401699872656732354315812864 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 l d) d))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -199999999999999994337576099120928401699872656732354315812864 binary64)) (.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (/.f64 h (.f64 (.f64 l d) d)) (.f64 M M)) #s(literal 1 binary64)))) w0) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000000000053219729416734553074804802362401618196263954906979517832626176 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 h M) M) (.f64 d l)) (/.f64 w0 d)) w0)) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -200000000000000000053219729416734553074804802362401618196263954906979517832626176 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 w0 d) (/.f64 (.f64 (.f64 h M) M) (.f64 l d))) w0)) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000000000053219729416734553074804802362401618196263954906979517832626176 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 h M) M) (.f64 d l)) (/.f64 w0 d))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -200000000000000000053219729416734553074804802362401618196263954906979517832626176 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 w0 d) (/.f64 (.f64 (.f64 h M) M) (.f64 l d)))))) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000000000053219729416734553074804802362401618196263954906979517832626176 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 h M) (/.f64 (.f64 w0 M) (.f64 (.f64 d l) d)))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -200000000000000000053219729416734553074804802362401618196263954906979517832626176 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 (/.f64 (.f64 M w0) (.f64 (.f64 l d) d)) (.f64 h M)) (.f64 #s(literal -1/8 binary64) (.f64 D D))))) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (.f64 h (/.f64 w0 (.f64 (.f64 d l) d))))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 l d) d)) h) (.f64 M M)) (.f64 #s(literal -1/8 binary64) (.f64 D D))))) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000000000053219729416734553074804802362401618196263954906979517832626176 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 (.f64 M M) w0) (.f64 (.f64 d l) d)))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -200000000000000000053219729416734553074804802362401618196263954906979517832626176 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* D M) (* (/ l h) (/ (* 4 (* d d)) (* D M))))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* w0 (* (* M M) h)) (* (* d d) l))) w0) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) w0) (.f64 (.f64 l d) d)) h) (.f64 #s(literal -1/8 binary64) (.f64 D D))))) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)

soundness1.8s (10.2%)

Memory

9.8MiB live, 1 386.9MiB allocated

Rules

5 296×	`lower-*.f64`
5 296×	`lower-*.f32`
5 213×	`lower-*.f64`
5 213×	`lower-*.f32`
4 456×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	688	37351
1	2369	37159
0	8541	36082
0	628	8158
1	2189	8136
0	8486	7930
0	64	470
0	108	462
1	381	424
2	3047	418
0	8800	414
0	80	523
0	123	521
1	498	521
2	3678	518
0	11133	515
0	75	511
0	124	511
1	461	511
2	3611	504
0	8199	490
0	17	78
0	26	78
1	82	78
2	550	78
3	7073	78
0	8661	78
0	659	36972
1	2277	36736
0	8184	35688

Stop Event

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

Compiler

Compiled 2 274 to 1 119 computations (50.8% saved)

preprocess297.0ms (1.7%)

Memory

22.4MiB live, 432.1MiB allocated

Remove

(negabs w0)

(abs M)

(abs d)

Compiler

Compiled 4 130 to 1 934 computations (53.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze716.0ms (4%)

sample2.3s (13.2%)

explain438.0ms (2.5%)

preprocess190.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify127.0ms (0.7%)

localize59.0ms (0.3%)

series69.0ms (0.4%)

simplify266.0ms (1.5%)

rewrite281.0ms (1.6%)

eval293.0ms (1.6%)

prune223.0ms (1.3%)

simplify175.0ms (1%)

localize185.0ms (1%)

series151.0ms (0.9%)

simplify470.0ms (2.6%)

rewrite296.0ms (1.7%)

eval445.0ms (2.5%)

prune594.0ms (3.3%)

simplify241.0ms (1.4%)

localize343.0ms (1.9%)

series325.0ms (1.8%)

simplify439.0ms (2.5%)

rewrite250.0ms (1.4%)

eval423.0ms (2.4%)

prune1.3s (7.5%)

simplify152.0ms (0.9%)

localize211.0ms (1.2%)

series109.0ms (0.6%)

simplify285.0ms (1.6%)

rewrite664.0ms (3.7%)

eval370.0ms (2.1%)

prune1.5s (8.4%)

regimes376.0ms (2.1%)

regimes263.0ms (1.5%)

regimes99.0ms (0.6%)

regimes22.0ms (0.1%)

regimes102.0ms (0.6%)

regimes257.0ms (1.4%)

regimes63.0ms (0.4%)

regimes204.0ms (1.1%)

regimes57.0ms (0.3%)

regimes98.0ms (0.6%)

regimes32.0ms (0.2%)

regimes9.0ms (0%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes2.0ms (0%)

regimes21.0ms (0.1%)

bsearch1.0ms (0%)

bsearch10.0ms (0.1%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch37.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify21.0ms (0.1%)

soundness1.8s (10.2%)

preprocess297.0ms (1.7%)

end0.0ms (0%)

Profiling