Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze649.0ms (4.1%)

Memory

4.7MiB live, 545.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 20 to 19 computations (5% saved)

sample2.0s (12.4%)

Memory

26.9MiB live, 2 852.3MiB allocated

Samples

1.1s	8 256×	0	valid
281.0ms	2 657×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 841.0ms

ival-mult: 385.0ms (45.8% of total)

ival-div: 156.0ms (18.6% of total)

ival-pow2: 138.0ms (16.4% of total)

ival-sub: 70.0ms (8.3% of total)

ival-sqrt: 70.0ms (8.3% of total)

exact: 10.0ms (1.2% of total)

ival-true: 8.0ms (1% of total)

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

Bogosity

explain554.0ms (3.5%)

Memory

-189.5MiB live, 391.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
47	-	1	(-3.517993068260265e+71 -4.0112600441467506e+42 93710765457026.47 6.094572630764075e-30 -7.442688336575569e-33 4.12634027986568e+213)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
24	-	1	(1.4075223988369712e+196 -5.620348156876722e-114 -3.5688072982411276e-208 -2.5978219118696153e+194 -2.5217480467301743e+249 3.149124862121091e-224)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
18	-	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))))`
10	-	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	18	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	54
↳	`(-.f64 #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	52
↳	`(sqrt.f64 (-.f64 #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	34
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
↳	`(*.f64 M D)`	overflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	30
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	52
↳	`(/.f64 h l)`	overflow	27
`*.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**	10	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	10	0
↳	`(*.f64 M D)`	overflow	26
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	8	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	2	0
↳	`(*.f64 M D)`	underflow	38
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	106
↳	`(*.f64 M D)`	underflow	38
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	51
↳	`(/.f64 h l)`	overflow	27
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	54
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
↳	`(*.f64 M D)`	overflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	30
↳	`(/.f64 h l)`	underflow	34

Confusion

	Predicted +	Predicted -
+	40	13
-	6	197

Precision

0.8695652173913043

Recall

0.7547169811320755

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	40	0	13
-	6	0	197

Precision?

0.8695652173913043

Recall?

0.7547169811320755

Freqs

test

number	freq
0	210
1	41
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

107.0ms

512×

valid

Compiler

Compiled 218 to 55 computations (74.8% saved)

Precisions

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

ival-mult: 16.0ms (43.8% of total)

ival-div: 9.0ms (24.6% of total)

ival-pow2: 5.0ms (13.7% of total)

ival-sqrt: 3.0ms (8.2% of total)

ival-sub: 2.0ms (5.5% of total)

exact: 1.0ms (2.7% of total)

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

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

preprocess210.0ms (1.3%)

Memory

26.9MiB live, 338.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 6 to 6 computations (0% saved)

prune2.0ms (0%)

Memory

-36.4MiB live, 2.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.9%	(.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)

simplify174.0ms (1.1%)

Memory

24.6MiB live, 343.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize48.0ms (0.3%)

Memory

-9.0MiB live, 111.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	2.396725545851686	(.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	4.230466495531282	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy	5.716457132583087	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	11.043513228454223	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

33.0ms

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 (34.9% of total)

ival-div: 3.0ms (20.9% of total)

ival-sqrt: 2.0ms (13.9% of total)

ival-pow2: 2.0ms (13.9% of total)

ival-sub: 1.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series70.0ms (0.4%)

Memory

5.7MiB live, 163.4MiB 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>) () ())) ())
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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 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	w0	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
4.0ms	l	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
3.0ms	h	@	-inf	(* 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	d	@	0	(pow (/ (* M D) (* 2 d)) 2)

simplify288.0ms (1.8%)

Memory

19.7MiB live, 577.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 317

Calls

Call 1

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

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

rewrite366.0ms (2.3%)

Memory

-22.5MiB live, 541.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 689

Calls

Call 1

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

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

eval364.0ms (2.3%)

Memory: -1.4MiB live, 309.4MiB allocated
Compiler: Compiled 31 317 to 4 375 computations (86% saved)

prune216.0ms (1.4%)

Memory

14.5MiB live, 499.0MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	988	18	1 006
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	989	18	1 007

Accuracy

91.4%

Counts

1 007 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.5%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
▶	88.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
	85.1%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
	82.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
	78.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
	65.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) (.f64 d d))))))
	77.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 d (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))))))))
	70.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) (.f64 (/.f64 l h) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))))
	82.2%	(.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))))))
▶	76.8%	(.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)))))
	61.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64)))) (/.f64 h l)))))
	68.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
▶	64.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))))
▶	52.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	12.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
	52.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
▶	71.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	51.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))

Compiler

Compiled 998 to 644 computations (35.5% saved)

simplify160.0ms (1%)

Memory

-1.2MiB live, 269.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

8 146×	`lower-*.f32`
8 104×	`lower-*.f64`
2 302×	`lower-/.f32`
2 284×	`lower-/.f64`
1 878×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	599
0	103	587
1	216	579
2	756	560
3	4709	560
4	7613	560
0	8296	560

Stop Event

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

Calls

Call 1

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

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

localize187.0ms (1.2%)

Memory

-7.6MiB live, 312.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	4.230466495531282	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (.f64 (/.f64 D d) D) d))) (/.f64 h l))))
accuracy	4.740792849295821	(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))
accuracy	5.308493831379243	(/.f64 (*.f64 (/.f64 D d) D) d)
accuracy	11.043513228454223	(.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (.f64 (/.f64 D d) D) d))) (/.f64 h l))
accuracy	4.228478843875284	(.f64 (/.f64 D d) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))))
accuracy	4.230466495531282	(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))))
accuracy	9.495359439500415	(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
accuracy	11.043513228454223	(.f64 (.f64 (/.f64 D d) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 h l))
accuracy	6.371079025261211	(.f64 (.f64 d d) l)
accuracy	7.970610853102518	(.f64 (.f64 M M) h)
accuracy	12.858759290121942	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))
accuracy	14.474434307049163	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
accuracy	2.396725545851686	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	18.733966593206326	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	4.230466495531282	(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
accuracy	4.6036528578161855	(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
accuracy	5.716457132583087	(/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64)))
accuracy	5.716457132583087	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Samples

107.0ms

256×

valid

Compiler

Compiled 544 to 58 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 44.0ms (61% of total)

ival-div: 14.0ms (19.4% of total)

ival-sqrt: 6.0ms (8.3% 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-assert: 0.0ms (0% of total)

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

series142.0ms (0.9%)

Memory

30.0MiB live, 227.9MiB allocated

Counts

27 → 1 380

Calls

Call 1

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

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

Calls

345 calls:

Time	Variable		Point	Expression
7.0ms	d	@	inf	(/ (/ (* M D) (* 2 d)) (/ 1 h))
5.0ms	d	@	inf	(* (/ D d) (* (* M M) 1/4))
1.0ms	D	@	0	(/ (/ (* M D) (* 2 d)) (/ 1 h))
1.0ms	M	@	0	(/ (/ (* M D) (* 2 d)) (/ 1 h))
1.0ms	w0	@	0	(* w0 (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1)))

simplify396.0ms (2.5%)

Memory

6.2MiB live, 754.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 396×	`lower-*.f64`
10 396×	`lower-*.f32`
8 468×	`lower-fma.f64`
8 468×	`lower-fma.f32`
2 730×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	660	34155
1	2275	33918
0	8157	32964

Stop Event

1×	iter limit
1×	node limit

Counts

1 380 → 1 352

Calls

Call 1

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

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

rewrite295.0ms (1.9%)

Memory

-19.2MiB live, 417.4MiB allocated

Rules

6 790×	`lower-*.f32`
6 750×	`lower-*.f64`
4 330×	`lower-/.f32`
4 312×	`lower-/.f64`
2 482×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	462
0	101	455
1	341	394
2	3048	394
0	10011	390

Stop Event

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

Counts

27 → 981

Calls

Call 1

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

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

eval295.0ms (1.9%)

Memory: 43.5MiB live, 508.9MiB allocated
Compiler: Compiled 74 678 to 4 340 computations (94.2% saved)

prune460.0ms (2.9%)

Memory

-15.2MiB live, 634.6MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	2 319	14	2 333
Fresh	7	6	13
Picked	4	1	5
Done	0	0	0
Total	2 330	21	2 351

Accuracy

91.4%

Counts

2 351 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.8%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
▶	88.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))))
	82.9%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 M D) (.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal 1 binary64))))
	82.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
▶	84.5%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64))))
	79.1%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (neg.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) h) (.f64 d l))) #s(literal 1 binary64))))
	70.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) (.f64 (/.f64 l h) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))))
	80.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 D (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) h) (*.f64 d l))) d))))
	79.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64)))) (/.f64 h l)))))
	61.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64)))) (/.f64 h l)))))
	68.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
	76.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) (.f64 #s(literal 1/4 binary64) (/.f64 D d))) d)) (/.f64 h l)))))
	75.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M)))) (.f64 d (.f64 d l))) D #s(literal 1 binary64)))))
▶	52.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (*.f64 M M))) l) #s(literal 1 binary64)))))
▶	53.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M h) M)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	59.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
	53.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) (/.f64 h (.f64 d (.f64 d l)))) #s(literal 1 binary64)))))
	12.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d))))))
	52.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
✓	71.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	51.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))

Compiler

Compiled 1 138 to 736 computations (35.3% saved)

simplify163.0ms (1%)

Memory

3.2MiB live, 190.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

8 442×	`lower-*.f32`
8 400×	`lower-*.f64`
3 678×	`lower-/.f32`
3 662×	`lower-/.f64`
1 704×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	684
0	109	684
1	236	684
2	831	654
3	5635	654
4	7526	654
0	8045	654

Stop Event

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

Calls

Call 1

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

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

localize201.0ms (1.3%)

Memory

13.8MiB live, 297.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.230466495531282	(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64)))
accuracy	5.450548480278707	(.f64 h (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -2 binary64))))
accuracy	5.716457132583085	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	8.487837822440419	(/.f64 (.f64 M D) (.f64 (*.f64 d l) #s(literal -2 binary64)))
accuracy	5.630926983598923	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (*.f64 M M))) l)
accuracy	7.970610853102518	(.f64 h (.f64 M M))
accuracy	10.09597498132482	(fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (*.f64 M M))) l) #s(literal 1 binary64))
accuracy	18.012528902329656	(/.f64 (.f64 D D) (.f64 d d))
accuracy	4.230466495531282	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M h) M)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
accuracy	6.371079025261208	(.f64 (.f64 d d) l)
accuracy	12.858759290121942	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M h) M)) (.f64 (*.f64 d d) l))
accuracy	14.474434307049163	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M h) M)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
accuracy	6.371079025261208	(.f64 (.f64 d d) l)
accuracy	11.181356617850128	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
accuracy	12.361088806188443	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l))
accuracy	15.378711605519259	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
accuracy	4.230466495531282	(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64)))
accuracy	4.566409356145673	(.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)
accuracy	5.716457132583085	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	5.716457132583087	(/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64)))

Samples

113.0ms

256×

valid

Compiler

Compiled 560 to 61 computations (89.1% saved)

Precisions

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

ival-mult: 45.0ms (57.9% of total)

ival-div: 14.0ms (18% of total)

ival-sqrt: 9.0ms (11.6% of total)

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

ival-pow2: 2.0ms (2.6% of total)

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

exact: 1.0ms (1.3% of total)

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

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

series271.0ms (1.7%)

Memory

-1.9MiB live, 190.4MiB allocated

Counts

29 → 1 536

Calls

Call 1

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

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

Calls

384 calls:

Time	Variable		Expression
143.0ms	h	@	(* h (/ (* M D) (* (* d l) -2)))
4.0ms	l	@	(* w0 (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (* (/ (* M D) (* 2 d)) h)) 1)))
1.0ms	h	@	(/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))
1.0ms	w0	@	(+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0)
1.0ms	M	@	(/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))

simplify425.0ms (2.7%)

Memory

36.0MiB live, 612.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 498×	`lower-*.f64`
8 498×	`lower-*.f32`
6 708×	`lower-fma.f64`
6 708×	`lower-fma.f32`
4 644×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	683	36762
1	2355	36546
0	8496	35424

Stop Event

1×	iter limit
1×	node limit

Counts

1 536 → 1 494

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

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

rewrite380.0ms (2.4%)

Memory

-26.2MiB live, 385.6MiB allocated

Rules

4 344×	`lower-/.f32`
4 328×	`lower-/.f64`
4 158×	`lower-*.f32`
4 116×	`lower-*.f64`
3 198×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	544
0	109	544
1	379	494
2	2939	494
0	8559	479

Stop Event

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

Counts

29 → 1 005

Calls

Call 1

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

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

eval345.0ms (2.2%)

Memory: 42.8MiB live, 648.1MiB allocated
Compiler: Compiled 85 683 to 4 557 computations (94.7% saved)

prune474.0ms (3%)

Memory

6.2MiB live, 676.4MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	2 664	15	2 679
Fresh	8	7	15
Picked	5	0	5
Done	0	1	1
Total	2 677	23	2 700

Accuracy

91.5%

Counts

2 700 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.8%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
	82.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
	79.1%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (neg.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) h) (.f64 d l))) #s(literal 1 binary64))))
	70.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) (.f64 (/.f64 l h) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))))
	79.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64)))) (/.f64 h l)))))
	76.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) (.f64 #s(literal 1/4 binary64) (/.f64 D d))) d)) (/.f64 h l)))))
▶	69.3%	(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 M (.f64 D h))) (.f64 d (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
	76.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h)))) (.f64 d (.f64 d l))) D #s(literal 1 binary64)))))
	60.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) #s(literal 1 binary64)))))
▶	83.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) l)) #s(literal 1 binary64)))))
	71.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) l) D) (/.f64 D (*.f64 d d)) #s(literal 1 binary64)))))
	59.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/4 binary64)) d) (/.f64 (.f64 M M) (*.f64 d l))) #s(literal 1 binary64)))))
	63.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M h)) d) (/.f64 M (*.f64 d l))) #s(literal 1 binary64)))))
	12.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d))))))
✓	71.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	71.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0))) (.f64 d (*.f64 d l))) D w0))
	51.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0)) l) w0))
	57.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0)) (.f64 d l)) w0))
▶	59.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0)) d) (.f64 d l)) w0))
	57.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 w0 (.f64 M M)) (.f64 d l))) w0))
	55.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 d (*.f64 d l)))) w0))
	69.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0)))) (.f64 d (.f64 d l))) w0))
▶	12.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) w0) (.f64 D D)) (.f64 (.f64 d d) l))))

Compiler

Compiled 1 234 to 780 computations (36.8% saved)

simplify435.0ms (2.8%)

Memory

-73.8MiB live, 280.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 M (.f64 D h))) (.f64 d (.f64 l (.f64 d #s(literal -2 binary64)))))
cost-diff	0	(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 M (.f64 D h))) (.f64 d (.f64 l (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 M (.f64 D h))) (.f64 d (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
cost-diff	128	(+.f64 (/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 M (.f64 D h))) (.f64 d (.f64 l (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
cost-diff	320	(.f64 (.f64 (.f64 d l) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) d))
cost-diff	0	(*.f64 D D)
cost-diff	0	(fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0)) d) (.f64 d l)) w0)
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0)) d) (.f64 d l)) w0))
cost-diff	384	(/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0)) d) (*.f64 d l))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) w0) (.f64 D D))
cost-diff	0	(/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) w0) (.f64 D D)) (.f64 (.f64 d d) l))
cost-diff	0	#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) w0) (.f64 D D)) (.f64 (.f64 d d) l)))
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) w0) (.f64 D D)) (.f64 (.f64 d d) l))))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) l)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) l)) #s(literal 1 binary64))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) l)) #s(literal 1 binary64)))))
cost-diff	384	(.f64 (/.f64 D d) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) l))

Rules

6 732×	`lower-*.f32`
6 670×	`lower-*.f64`
3 486×	`lower-/.f32`
3 472×	`lower-/.f64`
3 094×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	726
0	127	717
1	285	708
2	1178	702
3	3407	702
4	3855	702
5	4906	702
0	8424	699

Stop Event

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

Calls

Call 1

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

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

localize254.0ms (1.6%)

Memory

-17.6MiB live, 307.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.396725545851686	(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 M (.f64 D h))) (.f64 d (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
accuracy	3.6611093601902103	(.f64 M (.f64 D h))
accuracy	4.230466495531282	(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 M (.f64 D h))) (.f64 d (.f64 l (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)))
accuracy	17.009984927579215	(/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 M (.f64 D h))) (.f64 d (.f64 l (.f64 d #s(literal -2 binary64)))))
accuracy	0.9685667029923246	(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))
accuracy	2.396725545851686	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
accuracy	4.230466495531282	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)))
accuracy	17.12384676688561	(/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) d)))
accuracy	5.727099181755391	(/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0)) d) (*.f64 d l))
accuracy	6.178740789947533	(.f64 (.f64 M (*.f64 M h)) w0)
accuracy	11.181356617850128	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0)) d) (.f64 d l)) w0))
accuracy	15.378711605519259	(fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0)) d) (.f64 d l)) w0)
accuracy	11.181356617850128	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) w0) (.f64 D D)) (.f64 (.f64 d d) l))))
accuracy	14.917257751784113	(/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) w0) (.f64 D D)) (.f64 (.f64 d d) l))
accuracy	15.095716919031833	(.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) w0) (.f64 D D))
accuracy	43.05848830957573	#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) w0) (.f64 D D)) (.f64 (.f64 d d) l)))
accuracy	2.396725545851686	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) l)) #s(literal 1 binary64)))))
accuracy	4.230466495531282	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) l)) #s(literal 1 binary64))))
accuracy	5.630926983598923	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (*.f64 M h))) l)
accuracy	7.800457749712768	(.f64 (/.f64 D d) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) l))

Samples

169.0ms

256×

valid

Compiler

Compiled 593 to 74 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 106.0ms (78.1% of total)

ival-div: 15.0ms (11.1% of total)

ival-add: 5.0ms (3.7% of total)

ival-sqrt: 5.0ms (3.7% of total)

ival-pow2: 2.0ms (1.5% of total)

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

exact: 1.0ms (0.7% of total)

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

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

series160.0ms (1%)

Memory

-3.0MiB live, 187.2MiB allocated

Counts

24 → 1 356

Calls

Call 1

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

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

Calls

339 calls:

Time	Variable		Point	Expression
3.0ms	l	@	inf	(/ (* (* (* -1/8 (* (* M M) h)) w0) (* D D)) (* (* d d) l))
2.0ms	h	@	-inf	(* (sqrt (+ (* (/ (* (* M D) (* M D)) (* (* (* d l) -2) (* 2 d))) h) 1)) w0)
1.0ms	D	@	0	(* (/ D d) (/ (* -1/4 (* M (* M h))) l))
1.0ms	l	@	0	(/ (* (* M D) (* M D)) (* (* (* d l) -2) (* 2 d)))
1.0ms	h	@	0	(* (/ D d) (/ (* -1/4 (* M (* M h))) l))

simplify402.0ms (2.5%)

Memory

46.7MiB live, 583.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 462×	`lower-*.f64`
8 462×	`lower-*.f32`
7 108×	`lower-fma.f64`
7 108×	`lower-fma.f32`
4 594×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	679	34310
1	2339	34174
0	8459	33200

Stop Event

1×	iter limit
1×	node limit

Counts

1 356 → 1 307

Calls

Call 1

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

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

rewrite358.0ms (2.3%)

Memory

0.8MiB live, 554.5MiB allocated

Rules

7 922×	`lower-*.f32`
7 860×	`lower-*.f64`
4 342×	`lower-/.f32`
4 328×	`lower-/.f64`
3 100×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	526
0	127	519
1	433	493
2	3558	493
0	10727	483

Stop Event

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

Counts

24 → 673

Calls

Call 1

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

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

eval235.0ms (1.5%)

Memory: 15.2MiB live, 430.7MiB allocated
Compiler: Compiled 61 942 to 3 250 computations (94.8% saved)

prune842.0ms (5.3%)

Memory

6.5MiB live, 680.7MiB allocated

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	1 982	18	2 000
Fresh	7	10	17
Picked	5	0	5
Done	0	1	1
Total	1 994	29	2 023

Accuracy

91.5%

Counts

2 023 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.4%	(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (/.f64 (.f64 M (.f64 D h)) (.f64 d (.f64 d (.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64))) w0)
	72.4%	(.f64 (sqrt.f64 (fma.f64 (.f64 M (.f64 D h)) (/.f64 (.f64 D M) (.f64 d (.f64 l (*.f64 #s(literal -4 binary64) d)))) #s(literal 1 binary64))) w0)
	76.6%	(.f64 (sqrt.f64 (fma.f64 (.f64 D (.f64 M (/.f64 (.f64 D M) (.f64 d (.f64 l (*.f64 #s(literal -4 binary64) d)))))) h #s(literal 1 binary64))) w0)
	12.0%	(.f64 (sqrt.f64 #s(approx (+ ( (/ (* (* M D) (* M D)) (* (* (* d l) -2) (* 2 d))) h) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 l (*.f64 d d))))) w0)
	82.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
	70.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) (.f64 (/.f64 l h) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))))
	79.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64)))) (/.f64 h l)))))
	76.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) (.f64 #s(literal 1/4 binary64) (/.f64 D d))) d)) (/.f64 h l)))))
	84.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 D d) (.f64 (.f64 #s(literal -1/4 binary64) M) (/.f64 (.f64 M h) l))) #s(literal 1 binary64)))))
	81.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 D (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (*.f64 d l))) #s(literal 1 binary64)))))
	71.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) l) D) (/.f64 D (*.f64 d d)) #s(literal 1 binary64)))))
	59.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/4 binary64)) d) (/.f64 (.f64 M M) (*.f64 d l))) #s(literal 1 binary64)))))
	63.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M h)) d) (/.f64 M (*.f64 d l))) #s(literal 1 binary64)))))
✓	71.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	71.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0))) (.f64 d (*.f64 d l))) D w0))
	59.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M w0) (.f64 M h))) d) (.f64 d l)) w0))
	57.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 w0 (.f64 M M)) (.f64 d l))) w0))
	56.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (.f64 d l)) (/.f64 w0 d)) w0))
	55.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 #s(literal -1/8 binary64) d) (/.f64 (.f64 M (/.f64 (.f64 M (*.f64 h w0)) d)) l)) w0))
	55.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 d (*.f64 d l)))) w0))
	12.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 D D)))) l) (*.f64 d d))))
	13.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (/.f64 w0 d))) l) d)))
	12.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 D D) (.f64 h #s(literal -1/8 binary64))) (.f64 M (.f64 M w0))) (.f64 (.f64 d d) l))))
	12.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 w0 (.f64 D D)) (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64)))) (.f64 (.f64 d d) l))))
	13.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 h w0))) (.f64 #s(literal -1/8 binary64) D)) (.f64 l (.f64 d d))) D)))
	13.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 h w0))) (.f64 #s(literal -1/8 binary64) D)) (*.f64 d d)) (/.f64 D l))))
	14.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 h w0))) (.f64 #s(literal -1/8 binary64) D)) d) (/.f64 D (*.f64 d l)))))
	12.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) d) (/.f64 (.f64 w0 (.f64 D D)) (*.f64 d l)))))
	13.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (*.f64 d l)))))

Compiler

Compiled 2 211 to 873 computations (60.5% saved)

regimes390.0ms (2.5%)

Memory

20.9MiB live, 537.5MiB allocated

Counts

66 → 1

Calls

Call 1

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

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

Calls

15 calls:

48.0ms	(.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)))))
47.0ms	d
40.0ms	(*.f64 #s(literal 2 binary64) d)
29.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
24.0ms	(*.f64 M D)

Results

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

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes276.0ms (1.8%)

Memory

-67.3MiB live, 517.6MiB allocated

Counts

58 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

27.0ms	(-.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	(*.f64 #s(literal 2 binary64) d)
19.0ms	(/.f64 h l)
19.0ms	(*.f64 M D)
19.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Results

Accuracy	Segments	Branch
84.9%	1	`w0`
87.2%	2	`M`
86.5%	2	`D`
87.3%	2	`h`
84.9%	1	`l`
88.3%	2	`d`
88.1%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
88.1%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.1%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.1%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
88.1%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
89.2%	3	`(*.f64 M D)`
88.3%	2	`(*.f64 #s(literal 2 binary64) d)`
88.3%	3	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes178.0ms (1.1%)

Memory

-3.6MiB live, 273.7MiB 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 h w0))) (.f64 #s(literal -1/8 binary64) D)) (.f64 l (.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 w0 (.f64 D D)) (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64)))) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) w0) (.f64 D D)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 D D) (.f64 h #s(literal -1/8 binary64))) (.f64 M (.f64 M w0))) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0))) (.f64 d (*.f64 d l))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0)))) (.f64 d (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) d) (/.f64 (.f64 w0 (.f64 D D)) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 h w0))) (.f64 #s(literal -1/8 binary64) D)) d) (/.f64 D (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 h w0))) (.f64 #s(literal -1/8 binary64) D)) (*.f64 d d)) (/.f64 D l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 D D)))) l) (*.f64 d d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (.f64 d l)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 w0 (.f64 M M)) (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M w0) (.f64 M h))) d) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0)) d) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0)) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M h)) w0)) l) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d))))))
(.f64 (sqrt.f64 #s(approx (+ ( (/ (* (* M D) (* M D)) (* (* (* d l) -2) (* 2 d))) h) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) 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 D D) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) (/.f64 h (.f64 d (.f64 d l)))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M h) M)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h)))) (.f64 d (.f64 d l))) D #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M)))) (.f64 d (.f64 d l))) D #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 D (.f64 M (/.f64 (.f64 D M) (.f64 d (.f64 l (*.f64 #s(literal -4 binary64) d)))))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 M (.f64 D h)) (/.f64 (.f64 D M) (.f64 d (.f64 l (*.f64 #s(literal -4 binary64) d)))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (/.f64 w0 d))) l) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 #s(literal -1/8 binary64) d) (/.f64 (.f64 M (/.f64 (.f64 M (*.f64 h w0)) d)) l)) w0))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (/.f64 (.f64 M (.f64 D h)) (.f64 d (.f64 d (.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M h)) d) (/.f64 M (*.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/4 binary64)) d) (/.f64 (.f64 M M) (*.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) l) D) (/.f64 D (*.f64 d d)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 D (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (*.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (*.f64 M M))) l) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 M (.f64 D h))) (.f64 d (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 D (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) h) (*.f64 d l))) d))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (neg.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) h) (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 M D) (.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 D d) (.f64 (.f64 #s(literal -1/4 binary64) M) (/.f64 (.f64 M h) l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) (.f64 d d))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) (.f64 #s(literal 1/4 binary64) (/.f64 D d))) d)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64)))) (/.f64 h l)))))
(.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 M D) (.f64 (/.f64 l h) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))

Outputs

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

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

Calls

8 calls:

45.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
34.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
20.0ms	(*.f64 #s(literal 2 binary64) d)
17.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
17.0ms	d

Results

Accuracy	Segments	Branch
86.7%	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)))))`
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)))`
86.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
84.9%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
84.9%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.0%	2	`d`
88.0%	2	`(*.f64 #s(literal 2 binary64) d)`

Compiler

Compiled 130 to 96 computations (26.2% saved)

regimes324.0ms (2.1%)

Memory

25.8MiB live, 456.3MiB allocated

Counts

49 → 1

Calls

Call 1

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

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

Calls

15 calls:

53.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
38.0ms	M
33.0ms	(/.f64 h l)
25.0ms	D
23.0ms	(-.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
84.5%	1	`w0`
84.5%	1	`l`
84.5%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
84.5%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.1%	2	`D`
84.5%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
84.5%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
84.5%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
84.5%	1	`(/.f64 h l)`
84.5%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
84.5%	1	`M`
84.5%	1	`h`
86.1%	2	`(*.f64 M D)`
84.5%	1	`d`
84.5%	1	`(*.f64 #s(literal 2 binary64) d)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes239.0ms (1.5%)

Memory

0.5MiB live, 403.4MiB allocated

Counts

47 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

33.0ms	(*.f64 #s(literal 2 binary64) d)
17.0ms	D
17.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
17.0ms	(*.f64 M D)
17.0ms	w0

Results

Accuracy	Segments	Branch
81.8%	1	`h`
81.8%	1	`l`
84.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
83.7%	2	`(/.f64 h l)`
81.8%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
81.8%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
81.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
81.8%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
81.8%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
81.8%	1	`w0`
81.8%	1	`D`
84.9%	3	`(*.f64 M D)`
84.6%	2	`M`
81.8%	1	`d`
81.8%	1	`(*.f64 #s(literal 2 binary64) d)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes235.0ms (1.5%)

Memory

0.2MiB live, 334.2MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

32.0ms	d
29.0ms	(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))))
22.0ms	h
16.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
15.0ms	M

Results

Accuracy	Segments	Branch
76.6%	1	`h`
80.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
78.2%	2	`l`
80.5%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
78.5%	2	`w0`
82.6%	2	`D`
81.0%	2	`d`
81.9%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
83.1%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
83.1%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
81.0%	2	`(*.f64 #s(literal 2 binary64) d)`
84.0%	3	`(*.f64 M D)`
79.6%	2	`(/.f64 h l)`
83.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
81.7%	2	`M`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes21.0ms (0.1%)

Memory

-1.4MiB live, 36.0MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
80.9%	2	`D`
82.5%	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)

regimes85.0ms (0.5%)

Memory

-18.4MiB live, 119.4MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

11.0ms	M
10.0ms	(*.f64 #s(literal 2 binary64) d)
8.0ms	d
8.0ms	D
8.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
76.9%	2	`D`
77.1%	3	`d`
77.1%	3	`(*.f64 #s(literal 2 binary64) d)`
80.5%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
80.5%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
77.7%	2	`M`
78.5%	2	`(*.f64 M D)`
80.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 101 to 77 computations (23.8% saved)

regimes21.0ms (0.1%)

Memory

30.7MiB live, 30.7MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
78.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
78.6%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
80.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes4.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
80.4%	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)

regimes16.0ms (0.1%)

Memory

-31.9MiB live, 6.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
80.3%	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)

regimes5.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

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

Results

Accuracy	Segments	Branch
80.0%	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	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 43 to 30 computations (30.2% saved)

regimes21.0ms (0.1%)

Memory

14.2MiB live, 52.6MiB 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	w0
1.0ms	(*.f64 #s(literal 2 binary64) d)
1.0ms	M

Results

Accuracy	Segments	Branch
71.0%	1	`d`
71.0%	1	`(*.f64 #s(literal 2 binary64) d)`
71.0%	1	`D`
71.0%	1	`M`
71.0%	1	`h`
71.0%	1	`l`
71.0%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
71.0%	1	`(*.f64 M D)`
71.0%	1	`w0`
71.0%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
71.0%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
71.0%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
71.0%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
71.0%	1	`(/.f64 h l)`
71.0%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 183 to 140 computations (23.5% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.545474241934126e-121	3.3102986772279894e-119

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.545474241934126e-121	3.3102986772279894e-119

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch18.0ms (0.1%)

Memory

1.6MiB live, 40.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.7897849651513203e-184	6.960549530909852e-183

Samples

11.0ms	112×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 307 to 222 computations (27.7% saved)

Precisions

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

ival-div: 3.0ms (37.1% of total)

ival-mult: 2.0ms (24.8% of total)

ival-sub: 1.0ms (12.4% of total)

ival-sqrt: 1.0ms (12.4% of total)

ival-pow2: 1.0ms (12.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.353137945920822e-12	-6.426868852157008e-31

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.353137945920822e-12	-6.426868852157008e-31

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.353137945920822e-12	-6.426868852157008e-31

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.4180389844195417e+243	-1.4974988152948163e+205

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.4180389844195417e+243	-1.4974988152948163e+205

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.111909375884122e+292	-1.4180389844195417e+243

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.111909375884122e+292	-1.4180389844195417e+243

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify15.0ms (0.1%)

Memory

-1.0MiB live, 41.2MiB allocated

Algorithm

1×	egg-herbie

Rules

100×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	846
1	206	846

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal 2 binary64) d) #s(literal 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 D d) (.f64 (.f64 #s(literal -1/4 binary64) M) (/.f64 (.f64 M h) l))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 #s(literal 2 binary64) d) #s(literal 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 D d) (.f64 (.f64 #s(literal -1/4 binary64) M) (/.f64 (.f64 M h) l))) #s(literal 1 binary64))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 M #s(literal 1339538405257867/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976 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 D d) (.f64 D (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (*.f64 d 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 -4951760157141521/4951760157141521099596496896 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 D (.f64 M (/.f64 (.f64 D M) (.f64 d (.f64 l (.f64 #s(literal -4 binary64) d)))))) h #s(literal 1 binary64))) w0) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h)))) (.f64 d (.f64 d l))) 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 -4951760157141521/4951760157141521099596496896 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) (/.f64 h (.f64 d (.f64 d l)))) #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 -1000000000000000074650575649831695774632795300119615593163034400120115457135799236292149453307499328074479031320129942191467592834574340826335964513506590066150788638749118835418037019527222886944981240519484646566146722558989084608335389392896 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 h w0))) (.f64 #s(literal -1/8 binary64) D)) d) (/.f64 D (.f64 d l))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1000000000000000074650575649831695774632795300119615593163034400120115457135799236292149453307499328074479031320129942191467592834574340826335964513506590066150788638749118835418037019527222886944981240519484646566146722558989084608335389392896 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (.f64 d l))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 D D) (.f64 h #s(literal -1/8 binary64))) (.f64 M (.f64 M w0))) (.f64 (.f64 d d) l)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 h w0))) (.f64 #s(literal -1/8 binary64) D)) (.f64 l (.f64 d d))) D))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) h) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal 2 binary64) d) #s(literal 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 D d) (.f64 (.f64 #s(literal -1/4 binary64) M) (/.f64 (.f64 M h) l))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 d #s(literal 2 binary64)) #s(literal 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 D d) (.f64 (.f64 M #s(literal -1/4 binary64)) (/.f64 (.f64 M h) l))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 #s(literal 2 binary64) d) #s(literal 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 D d) (.f64 (.f64 #s(literal -1/4 binary64) M) (/.f64 (.f64 M h) l))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 d #s(literal 2 binary64)) #s(literal 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M D) (.f64 #s(literal -2 binary64) (.f64 d l)))) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 D d) (.f64 (.f64 M #s(literal -1/4 binary64)) (/.f64 (.f64 M h) l))) #s(literal 1 binary64))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M D) (.f64 #s(literal -2 binary64) (*.f64 d l)))) #s(literal 1 binary64))))
(if (<=.f64 M #s(literal 1339538405257867/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976 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 D d) (.f64 D (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (*.f64 d 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 -4951760157141521/4951760157141521099596496896 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 D (.f64 M (/.f64 (.f64 D M) (.f64 d (.f64 l (.f64 #s(literal -4 binary64) d)))))) h #s(literal 1 binary64))) w0) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 D (.f64 M (/.f64 (.f64 M D) (.f64 d (.f64 l (.f64 d #s(literal -4 binary64))))))) h #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h)))) (.f64 d (.f64 d l))) 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 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h)))) (.f64 d (.f64 d l))) 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 -4951760157141521/4951760157141521099596496896 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) (/.f64 h (.f64 d (.f64 d l)))) #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 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) (/.f64 h (.f64 d (.f64 d l)))) #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 -1000000000000000074650575649831695774632795300119615593163034400120115457135799236292149453307499328074479031320129942191467592834574340826335964513506590066150788638749118835418037019527222886944981240519484646566146722558989084608335389392896 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 h w0))) (.f64 #s(literal -1/8 binary64) D)) d) (/.f64 D (.f64 d l))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1000000000000000074650575649831695774632795300119615593163034400120115457135799236292149453307499328074479031320129942191467592834574340826335964513506590066150788638749118835418037019527222886944981240519484646566146722558989084608335389392896 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 w0 h))) (.f64 D #s(literal -1/8 binary64))) d) (/.f64 D (.f64 d l))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1000000000000000074650575649831695774632795300119615593163034400120115457135799236292149453307499328074479031320129942191467592834574340826335964513506590066150788638749118835418037019527222886944981240519484646566146722558989084608335389392896 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (.f64 d l))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1000000000000000074650575649831695774632795300119615593163034400120115457135799236292149453307499328074479031320129942191467592834574340826335964513506590066150788638749118835418037019527222886944981240519484646566146722558989084608335389392896 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 w0 M)))) (.f64 d l))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 D D) (.f64 h #s(literal -1/8 binary64))) (.f64 M (.f64 M w0))) (.f64 (.f64 d d) l)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 M (.f64 w0 M)) (.f64 (.f64 D D) (.f64 h #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 h w0))) (.f64 #s(literal -1/8 binary64) D)) (.f64 l (.f64 d d))) D))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 D (/.f64 (.f64 (.f64 M (.f64 M (.f64 w0 h))) (.f64 D #s(literal -1/8 binary64))) (.f64 l (.f64 d d)))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

soundness1.9s (12.1%)

Memory

-2.7MiB live, 1 305.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	526
0	127	519
1	433	493
2	3558	493
0	10727	483
0	628	8158
1	2189	8136
0	8486	7930
0	61	462
0	101	455
1	341	394
2	3048	394
0	10011	390
0	17	78
0	26	78
1	82	78
2	550	78
3	7073	78
0	8661	78
0	683	36762
1	2355	36546
0	8496	35424
0	64	544
0	109	544
1	379	494
2	2939	494
0	8559	479

Stop Event

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

Compiler

Compiled 1 358 to 692 computations (49% saved)

preprocess240.0ms (1.5%)

Memory: 3.8MiB live, 347.5MiB allocated
Remove: (negabs w0)
Compiler: Compiled 4 080 to 2 000 computations (51% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze649.0ms (4.1%)

sample2.0s (12.4%)

explain554.0ms (3.5%)

preprocess210.0ms (1.3%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify174.0ms (1.1%)

localize48.0ms (0.3%)

series70.0ms (0.4%)

simplify288.0ms (1.8%)

rewrite366.0ms (2.3%)

eval364.0ms (2.3%)

prune216.0ms (1.4%)

simplify160.0ms (1%)

localize187.0ms (1.2%)

series142.0ms (0.9%)

simplify396.0ms (2.5%)

rewrite295.0ms (1.9%)

eval295.0ms (1.9%)

prune460.0ms (2.9%)

simplify163.0ms (1%)

localize201.0ms (1.3%)

series271.0ms (1.7%)

simplify425.0ms (2.7%)

rewrite380.0ms (2.4%)

eval345.0ms (2.2%)

prune474.0ms (3%)

simplify435.0ms (2.8%)

localize254.0ms (1.6%)

series160.0ms (1%)

simplify402.0ms (2.5%)

rewrite358.0ms (2.3%)

eval235.0ms (1.5%)

prune842.0ms (5.3%)

regimes390.0ms (2.5%)

regimes276.0ms (1.8%)

regimes178.0ms (1.1%)

regimes324.0ms (2.1%)

regimes239.0ms (1.5%)

regimes235.0ms (1.5%)

regimes21.0ms (0.1%)

regimes85.0ms (0.5%)

regimes21.0ms (0.1%)

regimes4.0ms (0%)

regimes16.0ms (0.1%)

regimes5.0ms (0%)

regimes21.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch18.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.1%)

soundness1.9s (12.1%)

preprocess240.0ms (1.5%)

end0.0ms (0%)

Profiling