Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze453.0ms (2.6%)

Memory

2.7MiB live, 641.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 20 to 19 computations (5% saved)

sample2.1s (12%)

Memory

24.6MiB live, 2 502.6MiB allocated

Samples

1.0s	8 256×	0	valid
408.0ms	2 764×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 950.0ms

ival-mult: 378.0ms (39.8% of total)

ival-div: 291.0ms (30.6% of total)

ival-pow2: 129.0ms (13.6% of total)

ival-sqrt: 71.0ms (7.5% of total)

ival-sub: 57.0ms (6% of total)

exact: 11.0ms (1.2% of total)

ival-true: 9.0ms (0.9% of total)

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

Bogosity

explain303.0ms (1.7%)

Memory

19.6MiB live, 179.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
39	-	2	(3.747239517051816e+220 -19.02352347052131 -2.6720327470974403e-41 5.142831961646681e+102 1.2688609350426871e-142 5.354301553118619e+121)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
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))))`
17	-	1	(1.0131644249214575e+282 3.5457232627706324e-152 2.8229076306956274e-167 -5.274683623685884e-275 -8.295729223312807e-171 -7.226039260354404e-60)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
9	-	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	62
↳	`(-.f64 #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	54
↳	`(sqrt.f64 (-.f64 #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	36
↳	`(*.f64 M D)`	overflow	20
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	31
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	54
↳	`(/.f64 h l)`	overflow	24
`*.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**	9	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	7	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	62
↳	`(*.f64 M D)`	overflow	20
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	31
↳	`(/.f64 h l)`	underflow	33
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	4	0
↳	`(*.f64 M D)`	overflow	20
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	107
↳	`(*.f64 M D)`	underflow	36
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	47
↳	`(/.f64 h l)`	overflow	24
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	36

Confusion

	Predicted +	Predicted -
+	37	10
-	6	203

Precision

0.8604651162790697

Recall

0.7872340425531915

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	37	0	10
-	6	0	203

Precision?

0.8604651162790697

Recall?

0.7872340425531915

Freqs

test

number	freq
0	213
1	40
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

108.0ms

512×

valid

Compiler

Compiled 218 to 55 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 12.0ms (38.1% of total)

ival-div: 8.0ms (25.4% of total)

ival-pow2: 5.0ms (15.9% of total)

ival-sqrt: 3.0ms (9.5% of total)

ival-sub: 2.0ms (6.4% of total)

exact: 1.0ms (3.2% of total)

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

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

preprocess281.0ms (1.6%)

Memory

-13.3MiB live, 151.1MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 6 to 6 computations (0% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify227.0ms (1.3%)

Memory

13.4MiB live, 130.5MiB 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

localize83.0ms (0.5%)

Memory

3.1MiB live, 75.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	2.1705981829032397	(.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	4.041431842249555	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	4.195155839339761	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy	9.26464796935807	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

42.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (38.6% of total)

ival-div: 4.0ms (25.7% of total)

ival-pow2: 3.0ms (19.3% of total)

ival-sqrt: 2.0ms (12.9% of total)

ival-sub: 1.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series125.0ms (0.7%)

Memory

7.8MiB live, 169.7MiB allocated

Counts

6 → 324

Calls

Call 1

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

Outputs
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 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
33.0ms	l	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
29.0ms	d	@	inf	(pow (/ (* M D) (* 2 d)) 2)
3.0ms	w0	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
2.0ms	M	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
2.0ms	h	@	0	(- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))

simplify317.0ms (1.8%)

Memory

-24.5MiB live, 541.2MiB 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)

rewrite261.0ms (1.5%)

Memory

-4.7MiB live, 449.7MiB 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 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (/.f64 D d) (/.f64 l h)))
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h)
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) l) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 M l) (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M D) l) (/.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) l) (/.f64 (.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M M) l) (/.f64 (/.f64 (.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) l) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (/.f64 (.f64 (/.f64 D d) D) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (/.f64 (.f64 (.f64 M D) M) (.f64 #s(literal 2 binary64) d)) l) (/.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (*.f64 #s(literal 2 binary64) d)) l) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(.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 (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 h l)))
(.f64 (/.f64 (neg.f64 h) #s(literal -1 binary64)) (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) l))
(.f64 (.f64 (/.f64 h l) M) (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 D #s(literal 1/2 binary64)) d)))
(.f64 (.f64 (/.f64 h l) (.f64 M D)) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 (/.f64 h l) (.f64 M #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 D d)))
(.f64 (.f64 (/.f64 h l) (.f64 M M)) (/.f64 (.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) D) (.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (.f64 M D)))) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 (/.f64 h l) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 (/.f64 D d) D) d))
(.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 M D) M) (.f64 #s(literal 2 binary64) d))) (/.f64 (.f64 D #s(literal 1/2 binary64)) d))
(.f64 (.f64 (/.f64 h l) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 #s(literal 2 binary64) d))) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (.f64 (/.f64 h l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) M) (/.f64 (.f64 D #s(literal 1/2 binary64)) d))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) D) (/.f64 (.f64 M #s(literal 1/2 binary64)) d))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (.f64 M D)) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64)) (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (.f64 D (neg.f64 M))) (/.f64 #s(literal -1/2 binary64) d))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (.f64 M #s(literal 1/2 binary64))) (/.f64 D d))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (/.f64 D d)) (.f64 M #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (/.f64 #s(literal 1/2 binary64) d)) (.f64 M D))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (.f64 M (*.f64 D #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) d))
(.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)
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (/.f64 M d)) (.f64 D #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (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 (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 h l))
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (neg.f64 l)) (neg.f64 h))
(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)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 d #s(literal -2 binary64))) (/.f64 (.f64 M D) (*.f64 d #s(literal -2 binary64))))
(neg.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))))
(neg.f64 (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 M (/.f64 (*.f64 #s(literal 2 binary64) d) D))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 d (.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 M D) d)))
(/.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 M D)))
(/.f64 (.f64 D (neg.f64 M)) (.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 d D))
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M))
(/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) (*.f64 M D)))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) d)
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (neg.f64 (neg.f64 d)))
(/.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))))
(/.f64 (exp.f64 (log.f64 (.f64 D (neg.f64 M)))) (exp.f64 (log.f64 (.f64 d #s(literal -2 binary64)))))
(/.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))
(/.f64 (/.f64 (*.f64 D (neg.f64 M)) d) #s(literal -2 binary64))
(/.f64 (/.f64 (.f64 D (neg.f64 M)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 #s(literal 1 binary64) M) (/.f64 (.f64 #s(literal 2 binary64) d) D))
(/.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))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 M D) #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) d)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 (/.f64 D d) (neg.f64 M)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 M) (/.f64 D d)) #s(literal -2 binary64))
(/.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))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(.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))))
(.f64 (.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(.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))))

eval130.0ms (0.7%)

Memory: 13.1MiB live, 285.6MiB allocated
Compiler: Compiled 31 317 to 4 375 computations (86% saved)

prune348.0ms (2%)

Memory

-33.3MiB live, 573.9MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	986	20	1 006
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	987	20	1 007

Accuracy

91.1%

Counts

1 007 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.9%	(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1/4 binary64)) w0))
	67.9%	(.f64 w0 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))))))
▶	89.2%	(.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))))
	73.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal 1/2 binary64) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
	87.7%	(.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))))
	84.9%	(.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))))
▶	63.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) (.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
	79.4%	(.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))))
	70.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l))))
	74.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 M D)) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D))))))
▶	71.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (/.f64 l h) (.f64 #s(literal 2 binary64) (.f64 d d)))))))
	76.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 #s(literal 2 binary64) d)) l) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h))))))
	77.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) D) d) (/.f64 h l)))))
	66.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
	73.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
▶	59.2%	(.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 M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	16.3%	(.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)))))
	57.0%	(.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))))
▶	66.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	57.0%	#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))

Compiler

Compiled 1 164 to 740 computations (36.4% saved)

simplify161.0ms (0.9%)

Memory

47.0MiB live, 271.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

7 888×	`lower-*.f32`
7 844×	`lower-*.f64`
3 130×	`lower-/.f32`
3 108×	`lower-/.f64`
1 674×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	582
0	108	582
1	222	566
2	818	551
3	6045	551
0	8167	545

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

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

localize235.0ms (1.4%)

Memory

5.1MiB live, 285.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	2.689627909440261	(/.f64 (*.f64 (/.f64 D d) D) d)
accuracy	4.195155839339761	(sqrt.f64 (fma.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) (.f64 (/.f64 (.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
accuracy	9.291957780874572	(.f64 (/.f64 (.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l)))
accuracy	9.69598568150763	(fma.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) (.f64 (/.f64 (.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
accuracy	2.1705981829032397	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (/.f64 l h) (.f64 #s(literal 2 binary64) (.f64 d d)))))))
accuracy	4.195155839339761	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (/.f64 l h) (.f64 #s(literal 2 binary64) (*.f64 d d))))))
accuracy	8.176096586925222	(.f64 (/.f64 l h) (.f64 #s(literal 2 binary64) (*.f64 d d)))
accuracy	10.366254453525634	(/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (/.f64 l h) (.f64 #s(literal 2 binary64) (*.f64 d d))))
accuracy	5.389682258257048	(.f64 (.f64 d d) l)
accuracy	5.762211765303313	(.f64 (.f64 M M) h)
accuracy	9.96682036752818	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))
accuracy	13.010233781854916	(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	2.1705981829032397	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	21.61702020846178	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	4.041431842249555	(/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64)))
accuracy	4.041431842249555	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	4.195155839339761	(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	4.19612881710531	(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))

Samples

150.0ms

256×

valid

Compiler

Compiled 530 to 61 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult: 82.0ms (70.2% of total)

ival-div: 18.0ms (15.4% of total)

ival-sqrt: 7.0ms (6% of total)

ival-add: 3.0ms (2.6% of total)

ival-sub: 2.0ms (1.7% of total)

ival-pow2: 2.0ms (1.7% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series396.0ms (2.3%)

Memory

-137.5MiB live, 243.4MiB allocated

Counts

25 → 1 332

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

Calls

333 calls:

Time	Variable		Point	Expression
8.0ms	h	@	0	(* (/ (* (/ D d) D) d) (neg (/ h l)))
6.0ms	d	@	inf	(/ (/ (* M D) (* 2 d)) (/ 1 h))
6.0ms	M	@	0	(sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))
1.0ms	M	@	0	(/ (/ (* M D) (* 2 d)) (/ 1 h))
1.0ms	D	@	0	(/ (/ (* M D) (* 2 d)) (/ 1 h))

simplify410.0ms (2.4%)

Memory

47.2MiB live, 675.2MiB 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	655	35316
1	2266	35080
0	8168	34032

Stop Event

1×	iter limit
1×	node limit

Counts

1 332 → 1 297

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

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

rewrite292.0ms (1.7%)

Memory

-1.0MiB live, 506.9MiB allocated

Rules

4 548×	`lower-/.f32`
4 526×	`lower-/.f64`
4 280×	`lower-*.f32`
4 240×	`lower-*.f64`
2 842×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	442
0	108	434
1	356	382
2	3248	382
0	9070	378

Stop Event

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

Counts

25 → 925

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

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

eval269.0ms (1.5%)

Memory: 12.3MiB live, 513.6MiB allocated
Compiler: Compiled 75 386 to 4 584 computations (93.9% saved)

prune454.0ms (2.6%)

Memory

-11.5MiB live, 680.9MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	2 207	15	2 222
Fresh	12	3	15
Picked	3	2	5
Done	0	0	0
Total	2 222	20	2 242

Accuracy

91.5%

Counts

2 242 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.9%	(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1/4 binary64)) w0))
	73.4%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M (.f64 D #s(literal 1/2 binary64))))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) d)) h #s(literal 1 binary64))) w0)
	67.9%	(.f64 w0 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))))))
	85.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) h)) #s(literal 1 binary64))))
▶	87.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
✓	63.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) (.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
▶	74.4%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 h l)) (neg.f64 (.f64 (/.f64 (.f64 M D) (.f64 d d)) #s(literal 1/4 binary64))) #s(literal 1 binary64))))
	77.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (neg.f64 D)) (.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 l (.f64 d d)) #s(literal 2 binary64))) h) #s(literal 1 binary64))))
	72.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 l (/.f64 (.f64 #s(literal 2 binary64) (.f64 d d)) h))))))
	70.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 l (.f64 d d))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
	16.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d))))))
	74.3%	(.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 h (.f64 M M)))) (.f64 l (.f64 d d))) D #s(literal 1 binary64)))))
	57.7%	(.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)))))
	71.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D (/.f64 D d)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (*.f64 d l)) #s(literal 1 binary64)))))
▶	66.8%	(.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 h (.f64 M M))) d) (*.f64 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 #s(literal -1/4 binary64) (.f64 (.f64 M h) M)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	62.7%	(.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 l) d)) #s(literal 1 binary64)))))
	57.0%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 l (.f64 d d))) #s(literal 1 binary64))))
✓	66.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	57.0%	#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))

Compiler

Compiled 1 108 to 699 computations (36.9% saved)

simplify269.0ms (1.5%)

Memory

23.1MiB live, 210.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

8 832×	`lower-*.f32`
8 786×	`lower-*.f64`
3 558×	`lower-/.f32`
3 542×	`lower-/.f64`
2 086×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	687
0	114	683
1	251	683
2	901	668
3	6094	668
0	8494	668

Stop Event

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

Calls

Call 1

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

localize430.0ms (2.5%)

Memory

-40.3MiB live, 222.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.337608461948667	(fma.f64 (.f64 (.f64 M D) (/.f64 h l)) (neg.f64 (.f64 (/.f64 (.f64 M D) (*.f64 d d)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
accuracy	4.195155839339761	(sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 h l)) (neg.f64 (.f64 (/.f64 (.f64 M D) (*.f64 d d)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
accuracy	6.799314822063895	(.f64 (.f64 M D) (/.f64 h l))
accuracy	9.57347458324846	(/.f64 (.f64 M D) (.f64 d d))
accuracy	4.647903259592011	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (*.f64 M M))) d)
accuracy	5.762211765303313	(.f64 h (.f64 M M))
accuracy	6.649057422442315	(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) d) (.f64 d l))
accuracy	13.010233781854916	(fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) d) (*.f64 d l)) #s(literal 1 binary64))
accuracy	4.195155839339761	(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	5.389682258257047	(.f64 (.f64 d d) l)
accuracy	9.96682036752818	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M h) M)) (.f64 (*.f64 d d) l))
accuracy	13.010233781854916	(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	5.389682258257047	(.f64 (.f64 d d) l)
accuracy	10.629965674585263	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l))
accuracy	12.49463294683109	(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	12.876066802798785	#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	3.7510474756380807	(.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))))
accuracy	4.041431842249555	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	4.195155839339761	(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)))
accuracy	8.292634046449049	(/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))

Samples

304.0ms

256×

valid

Compiler

Compiled 563 to 63 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-pow2: 144.0ms (56.7% of total)

ival-mult: 58.0ms (22.8% of total)

ival-add: 31.0ms (12.2% of total)

ival-div: 13.0ms (5.1% of total)

ival-sqrt: 5.0ms (2% of total)

ival-sub: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series234.0ms (1.3%)

Memory

37.4MiB live, 188.7MiB allocated

Counts

29 → 1 548

Calls

Call 1

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

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

Calls

387 calls:

Time	Variable		Point	Expression
31.0ms	D	@	inf	(+ (* (* D D) (/ (* -1/4 (* (* M h) M)) (* (* d d) l))) 1)
16.0ms	h	@	0	(* h (/ (* M D) (* l (* d -2))))
1.0ms	h	@	0	(/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))
1.0ms	w0	@	0	(+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0)
1.0ms	M	@	0	(/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))

simplify632.0ms (3.6%)

Memory

-27.4MiB live, 523.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 500×	`lower-*.f64`
8 500×	`lower-*.f32`
6 708×	`lower-fma.f64`
6 708×	`lower-fma.f32`
4 658×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	682	37014
1	2357	36798
0	8503	35676

Stop Event

1×	iter limit
1×	node limit

Counts

1 548 → 1 506

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

rewrite380.0ms (2.2%)

Memory

50.2MiB live, 351.4MiB allocated

Rules

5 276×	`lower-*.f32`
5 230×	`lower-*.f64`
3 538×	`lower-/.f32`
3 522×	`lower-/.f64`
2 772×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	546
0	114	542
1	386	542
2	2888	542
0	8233	542

Stop Event

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

Counts

29 → 705

Calls

Call 1

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

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

eval299.0ms (1.7%)

Memory: 39.8MiB live, 601.4MiB allocated
Compiler: Compiled 71 253 to 3 236 computations (95.5% saved)

prune553.0ms (3.2%)

Memory

-46.2MiB live, 811.7MiB allocated

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	2 258	17	2 275
Fresh	6	7	13
Picked	3	2	5
Done	0	2	2
Total	2 267	28	2 295

Accuracy

91.6%

Counts

2 295 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.9%	(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1/4 binary64)) w0))
	79.0%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M D) h) (.f64 (.f64 M D) #s(literal 1/4 binary64))) (.f64 d (.f64 d l))))) w0)
▶	78.1%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (.f64 D (.f64 h (.f64 (.f64 M M) #s(literal -1/4 binary64)))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) w0)
	67.9%	(.f64 w0 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))))))
✓	87.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
	72.1%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/4 binary64)) (.f64 d d)) M) (.f64 D (/.f64 h l)) #s(literal 1 binary64))))
	74.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 M D) #s(literal -1/4 binary64)) (.f64 d d))) (.f64 M D) #s(literal 1 binary64))))
✓	63.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) (.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
▶	81.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 h l)) (/.f64 (.f64 (/.f64 (*.f64 M D) d) #s(literal -1/4 binary64)) d) #s(literal 1 binary64))))
▶	77.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (neg.f64 D)) (.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 l (.f64 d d)) #s(literal 2 binary64))) h) #s(literal 1 binary64))))
	70.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 l (.f64 d d))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
	16.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d))))))
	74.3%	(.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 h (.f64 M M)))) (.f64 l (.f64 d d))) D #s(literal 1 binary64)))))
	66.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M (.f64 M h)) (/.f64 #s(literal -1/4 binary64) d)) l) #s(literal 1 binary64)))))
	71.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D (/.f64 D d)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (*.f64 d l)) #s(literal 1 binary64)))))
	67.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (/.f64 (.f64 M h) d)) #s(literal -1/4 binary64)) (*.f64 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 #s(literal -1/4 binary64) (.f64 (.f64 M h) M)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
✓	66.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	53.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) l) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 h (.f64 M w0)))) (.f64 d d)) w0))
	61.1%	#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 M (.f64 h (.f64 M w0)))) (.f64 d l)) w0))
	72.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 h (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
▶	56.0%	#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)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
	54.7%	#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)) l) (/.f64 (.f64 M (.f64 M w0)) (.f64 d d))) w0))
	61.5%	#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 M (.f64 M w0)) (.f64 d l))) w0))
	63.1%	#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 h (.f64 M w0))) (.f64 d l))) w0))
	59.9%	#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 M (.f64 M w0)) (.f64 d (*.f64 d l)))) w0))
	57.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (exp.f64 (.f64 (log.f64 D) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
▶	14.0%	#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 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 h w0) (.f64 (.f64 d d) l))))))

Compiler

Compiled 1 473 to 906 computations (38.5% saved)

simplify176.0ms (1%)

Memory

10.9MiB live, 318.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

8 192×	`lower-*.f32`
8 136×	`lower-*.f64`
3 328×	`lower-/.f32`
3 312×	`lower-/.f64`
1 712×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	697
0	128	689
1	288	682
2	1113	682
3	4670	682
4	6316	682
0	8167	682

Stop Event

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

Calls

Call 1

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

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

localize214.0ms (1.2%)

Memory

-3.4MiB live, 412.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.954187093770871	(.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 l (.f64 d d)) #s(literal 2 binary64))) h)
accuracy	4.195155839339761	(sqrt.f64 (fma.f64 (.f64 M (neg.f64 D)) (.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 l (*.f64 d d)) #s(literal 2 binary64))) h) #s(literal 1 binary64)))
accuracy	5.389682258257048	(.f64 l (.f64 d d))
accuracy	9.041371503096597	(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 l (*.f64 d d)) #s(literal 2 binary64)))
accuracy	4.195155839339761	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (.f64 D (.f64 h (.f64 (.f64 M M) #s(literal -1/4 binary64)))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
accuracy	4.631097130323983	(.f64 D (.f64 h (.f64 (.f64 M M) #s(literal -1/4 binary64))))
accuracy	5.748180288016251	(.f64 h (.f64 (*.f64 M M) #s(literal -1/4 binary64)))
accuracy	10.769618255827753	(/.f64 (.f64 D (.f64 h (.f64 (.f64 M M) #s(literal -1/4 binary64)))) (.f64 d (.f64 d l)))
accuracy	5.634466382668654	(/.f64 (.f64 M (.f64 M w0)) l)
accuracy	10.813825568023713	(.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (*.f64 M w0)) l))
accuracy	12.49463294683109	(fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0)
accuracy	12.876066802798785	#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)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
accuracy	11.288157789819376	(.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 h w0) (.f64 (.f64 d d) l)))
accuracy	12.876066802798785	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 h w0) (.f64 (.f64 d d) l))))))
accuracy	14.676451338200303	(.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 h w0) (.f64 (.f64 d d) l))))
accuracy	40.1570061597647	#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 h w0) (.f64 (.f64 d d) l)))))
accuracy	3.337608461948667	(fma.f64 (.f64 (.f64 M D) (/.f64 h l)) (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64)) d) #s(literal 1 binary64))
accuracy	4.041420935327766	(/.f64 (*.f64 M D) d)
accuracy	4.195155839339761	(sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 h l)) (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)))
accuracy	6.799314822063895	(.f64 (.f64 M D) (/.f64 h l))

Samples

122.0ms

256×

valid

Compiler

Compiled 567 to 73 computations (87.1% saved)

Precisions

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

ival-mult: 56.0ms (62.8% of total)

ival-div: 17.0ms (19.1% of total)

ival-add: 6.0ms (6.7% of total)

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

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

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

exact: 1.0ms (1.1% of total)

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

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

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

series351.0ms (2%)

Memory

13.4MiB live, 246.8MiB allocated

Counts

28 → 1 536

Calls

Call 1

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

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

Calls

384 calls:

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

simplify435.0ms (2.5%)

Memory

37.8MiB live, 647.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 580×	`lower-*.f64`
8 580×	`lower-*.f32`
6 716×	`lower-fma.f64`
6 716×	`lower-fma.f32`
4 702×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	684	36085
1	2365	35925
0	8563	34921

Stop Event

1×	iter limit
1×	node limit

Counts

1 536 → 1 487

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

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

rewrite604.0ms (3.5%)

Memory

-85.6MiB live, 543.2MiB allocated

Rules

5 280×	`lower-*.f32`
5 222×	`lower-*.f64`
4 910×	`lower-/.f32`
4 894×	`lower-/.f64`
2 572×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	553
0	128	551
1	438	541
2	3109	531
0	9085	527

Stop Event

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

Counts

28 → 963

Calls

Call 1

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

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

eval321.0ms (1.8%)

Memory: 13.0MiB live, 574.6MiB allocated
Compiler: Compiled 75 165 to 4 003 computations (94.7% saved)

prune1.3s (7.5%)

Memory

-13.3MiB live, 950.8MiB allocated

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	2 445	23	2 468
Fresh	12	7	19
Picked	4	1	5
Done	2	2	4
Total	2 463	33	2 496

Accuracy

91.6%

Counts

2 496 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.9%	(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1/4 binary64)) w0))
	74.2%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (.f64 (.f64 (.f64 D h) M) (.f64 M #s(literal -1/4 binary64))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) w0)
	77.7%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M M))) h) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) w0)
	82.6%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (.f64 D (/.f64 (.f64 h (.f64 #s(literal -1/4 binary64) (.f64 M M))) (*.f64 l d))) d) #s(literal 1 binary64)))) w0)
	79.0%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 M #s(literal -1/4 binary64)))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) w0)
	72.4%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (.f64 (.f64 h (.f64 #s(literal -1/4 binary64) (.f64 M M))) (/.f64 D (.f64 l (.f64 d d)))) #s(literal 1 binary64)))) w0)
	17.2%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))) w0)
	67.9%	(.f64 w0 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))))))
	72.1%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/4 binary64)) (.f64 d d)) M) (.f64 D (/.f64 h l)) #s(literal 1 binary64))))
✓	63.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) (.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
✓	81.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 h l)) (/.f64 (.f64 (/.f64 (*.f64 M D) d) #s(literal -1/4 binary64)) d) #s(literal 1 binary64))))
	77.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 l (.f64 d d)))) (*.f64 M (neg.f64 D)) #s(literal 1 binary64))))
	79.7%	(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal -1/4 binary64))) d) (.f64 M (.f64 D h))) (*.f64 l d)) #s(literal 1 binary64))))
	16.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d))))))
	66.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M (.f64 M h)) (/.f64 #s(literal -1/4 binary64) d)) l) #s(literal 1 binary64)))))
	67.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (/.f64 (.f64 M h) d)) #s(literal -1/4 binary64)) (*.f64 d l)) #s(literal 1 binary64)))))
✓	66.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	72.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 h (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
	15.8%	#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 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 M (*.f64 M w0))) l)))
	14.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M M)))) (.f64 h w0)) (.f64 l (.f64 d d)))))
	14.0%	#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 M M) (.f64 #s(literal -1/8 binary64) (.f64 h w0))) (.f64 l (.f64 d d))) (.f64 D D))))
	15.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) (.f64 l d)) (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (*.f64 h w0))) d))))
	15.1%	#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 D D) d) (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h w0))) (*.f64 l d)))))
	16.0%	#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 D D) h) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 M (*.f64 M (/.f64 w0 l))))))
	15.0%	#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 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M M)))) h) (/.f64 w0 (.f64 l (.f64 d d))))))
	14.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 (.f64 h w0) (.f64 l (.f64 d d))))) D)))
	15.3%	#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 D D) (/.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 l (.f64 M (.f64 M w0)))))))
	15.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h w0) (.f64 d d)) (.f64 #s(literal -1/8 binary64) (*.f64 M M))) l))))
	15.0%	#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 D D) (/.f64 (.f64 (.f64 M (.f64 M w0)) #s(literal 1 binary64)) (.f64 l (/.f64 (.f64 d d) (.f64 h #s(literal -1/8 binary64))))))))
	16.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 h d) (.f64 (/.f64 #s(literal -1/8 binary64) d) (.f64 M (.f64 M (/.f64 w0 l))))))))
	14.8%	#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 D D) (.f64 (.f64 (/.f64 (.f64 h w0) (.f64 l (.f64 d d))) (.f64 M #s(literal -1/8 binary64))) M))))
	14.6%	#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 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 M w0)) (.f64 l (.f64 d d)))))))
	14.0%	#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 (exp.f64 (.f64 (log.f64 D) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 h w0) (.f64 (.f64 d d) l))))))

Compiler

Compiled 2 595 to 996 computations (61.6% saved)

regimes380.0ms (2.2%)

Memory

13.4MiB live, 398.8MiB allocated

Counts

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

Outputs

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

Calls

15 calls:

43.0ms	(*.f64 M D)
40.0ms	h
34.0ms	(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))))
31.0ms	l
26.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
89.2%	1	`w0`
89.2%	1	`M`
89.2%	1	`D`
89.2%	1	`h`
89.2%	1	`l`
89.2%	1	`d`
89.2%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
89.2%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
89.2%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
89.2%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
89.2%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
89.2%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
89.2%	1	`(*.f64 M D)`
89.2%	1	`(*.f64 #s(literal 2 binary64) d)`
89.2%	1	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes341.0ms (2%)

Memory

34.7MiB live, 504.1MiB allocated

Counts

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

Calls

15 calls:

46.0ms	d
39.0ms	(*.f64 M D)
27.0ms	w0
22.0ms	h
22.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Results

Accuracy	Segments	Branch
87.7%	1	`h`
90.6%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
90.6%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
90.6%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
87.7%	1	`w0`
87.7%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
87.7%	1	`M`
87.7%	1	`l`
87.7%	1	`d`
90.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
87.7%	1	`(*.f64 M D)`
87.7%	1	`(*.f64 #s(literal 2 binary64) d)`
87.7%	1	`(/.f64 h l)`
89.6%	2	`D`
87.7%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes74.0ms (0.4%)

Memory

-2.8MiB live, 152.8MiB allocated

Counts

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

Calls

4 calls:

21.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
18.0ms	(.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)))))
16.0ms	(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))))
15.0ms	(-.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
90.6%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
90.6%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
90.6%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
90.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 86 to 61 computations (29.1% saved)

regimes70.0ms (0.4%)

Memory

-8.5MiB live, 152.2MiB allocated

Counts

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

Calls

4 calls:

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)))))
17.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
15.0ms	(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))))
15.0ms	(-.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
90.2%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
90.2%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
90.2%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
90.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 86 to 61 computations (29.1% saved)

regimes299.0ms (1.7%)

Memory

25.8MiB live, 577.0MiB allocated

Counts

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

Calls

15 calls:

36.0ms	D
27.0ms	(*.f64 #s(literal 2 binary64) d)
22.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
19.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
19.0ms	w0

Results

Accuracy	Segments	Branch
87.4%	1	`h`
87.4%	1	`(/.f64 h l)`
87.4%	1	`w0`
87.4%	1	`M`
87.4%	1	`l`
87.4%	1	`d`
87.4%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
87.4%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
87.4%	1	`(*.f64 M D)`
87.4%	1	`(*.f64 #s(literal 2 binary64) d)`
87.4%	1	`D`
87.4%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
87.4%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
87.4%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
87.4%	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)

regimes263.0ms (1.5%)

Memory

-36.5MiB live, 329.0MiB allocated

Counts

55 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

43.0ms	d
21.0ms	h
17.0ms	M
17.0ms	(*.f64 #s(literal 2 binary64) d)
17.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Results

Accuracy	Segments	Branch
82.6%	1	`w0`
82.6%	1	`M`
84.8%	2	`D`
82.6%	1	`h`
82.6%	1	`l`
84.9%	2	`d`
82.6%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
86.1%	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))))`
86.1%	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)))`
85.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
84.7%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
84.7%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
85.9%	3	`(*.f64 M D)`
84.9%	2	`(*.f64 #s(literal 2 binary64) d)`
82.6%	1	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes61.0ms (0.4%)

Memory

3.6MiB live, 88.0MiB 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 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 h w0) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 M w0)) (.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 D D) (.f64 (.f64 (/.f64 (.f64 h w0) (.f64 l (.f64 d d))) (.f64 M #s(literal -1/8 binary64))) M))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 (.f64 h w0) (.f64 l (.f64 d d))))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M M)))) h) (/.f64 w0 (.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 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h w0))) (.f64 l (.f64 d d))) (.f64 D D))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M M)))) (.f64 h w0)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 M w0)) (.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 h (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 (/ ( (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 l (.f64 d d))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h w0) (.f64 d d)) (.f64 #s(literal -1/8 binary64) (*.f64 M M))) 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) h) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 M (*.f64 M (/.f64 w0 l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h w0))) (*.f64 l d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) (.f64 l d)) (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (*.f64 h w0))) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 M (*.f64 M w0))) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 #s(literal -1/8 binary64) d) (/.f64 (.f64 M (.f64 h (.f64 M w0))) (.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 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.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 h #s(literal -1/8 binary64)) l) (/.f64 (.f64 M (.f64 M w0)) (.f64 d 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)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) 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 M (.f64 h (.f64 M w0)))) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) l) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 h (.f64 M w0)))) (.f64 d d)) 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 (/ ( (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (/.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 (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d 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 D D) (/.f64 (.f64 (.f64 M (.f64 M w0)) #s(literal 1 binary64)) (.f64 l (/.f64 (.f64 d d) (.f64 h #s(literal -1/8 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 M) h)) (.f64 (.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 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 h (.f64 M M)))) (.f64 l (.f64 d d))) D #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 l (.f64 d d))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (.f64 (.f64 h (.f64 #s(literal -1/4 binary64) (.f64 M M))) (/.f64 D (.f64 l (.f64 d d)))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (.f64 D (.f64 h (.f64 (.f64 M M) #s(literal -1/4 binary64)))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 M #s(literal -1/4 binary64)))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 M M))) h) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (.f64 (.f64 (.f64 D h) M) (.f64 M #s(literal -1/4 binary64))) (.f64 d (.f64 d l))) #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 D D) (.f64 (/.f64 h d) (.f64 (/.f64 #s(literal -1/8 binary64) d) (.f64 M (.f64 M (/.f64 w0 l))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 l (.f64 M (.f64 M w0)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 l (.f64 d d)))) (*.f64 M (neg.f64 D)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M D) h) (.f64 (.f64 M D) #s(literal 1/4 binary64))) (.f64 d (.f64 d l))))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M (.f64 D #s(literal 1/2 binary64))))) (.f64 (.f64 l (.f64 d #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 M (/.f64 (.f64 M h) d)) #s(literal -1/4 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 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) 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 (/.f64 D d)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.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 D D) (.f64 d d)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (*.f64 M M))) 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 (*.f64 M (/.f64 (*.f64 M h) d)) #s(literal -1/4 binary64)) (*.f64 d l)) #s(literal 1 binary64)))))

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

Calls

4 calls:

18.0ms	(*.f64 #s(literal 2 binary64) d)
17.0ms	D
13.0ms	d
11.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
84.8%	2	`D`
84.0%	2	`d`
84.0%	2	`(*.f64 #s(literal 2 binary64) d)`
83.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes71.0ms (0.4%)

Memory

19.2MiB live, 94.4MiB allocated

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

14.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
12.0ms	(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))))
12.0ms	D
11.0ms	(*.f64 M D)
10.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
84.2%	2	`(*.f64 M D)`
83.5%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
83.5%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
83.3%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
83.3%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
83.7%	2	`D`

Compiler

Compiled 87 to 65 computations (25.3% saved)

regimes169.0ms (1%)

Memory

8.4MiB live, 287.9MiB allocated

Counts

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

Outputs

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

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

Calls

15 calls:

13.0ms	(*.f64 M D)
13.0ms	D
13.0ms	w0
12.0ms	(.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)))))
12.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
82.3%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
82.3%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
82.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
82.9%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
82.9%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
82.9%	2	`D`
81.8%	2	`d`
81.8%	2	`(*.f64 #s(literal 2 binary64) d)`
82.9%	2	`M`
79.0%	1	`l`
79.0%	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)))))`
81.1%	2	`(/.f64 h l)`
79.0%	1	`w0`
79.0%	1	`h`
83.0%	2	`(*.f64 M D)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes49.0ms (0.3%)

Memory

8.6MiB live, 85.2MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

10.0ms	(*.f64 M D)
10.0ms	D
10.0ms	M
9.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
8.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))

Results

Accuracy	Segments	Branch
82.6%	2	`M`
82.1%	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))))`
82.1%	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)))`
82.1%	2	`D`
82.5%	2	`(*.f64 M D)`

Compiler

Compiled 66 to 50 computations (24.2% saved)

regimes101.0ms (0.6%)

Memory

-28.5MiB live, 130.8MiB allocated

Counts

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

Outputs

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

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

Calls

10 calls:

15.0ms	M
11.0ms	d
10.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
10.0ms	(-.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)))
9.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
80.3%	2	`d`
80.3%	2	`(*.f64 #s(literal 2 binary64) d)`
81.0%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
81.0%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
80.7%	2	`D`
80.0%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
80.0%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
81.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
81.4%	2	`(*.f64 M D)`
80.7%	2	`M`

Compiler

Compiled 129 to 98 computations (24% saved)

regimes63.0ms (0.4%)

Memory

17.1MiB live, 95.0MiB allocated

Counts

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

7 calls:

13.0ms	(/.f64 h l)
9.0ms	M
9.0ms	D
8.0ms	(*.f64 M D)
7.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
80.1%	3	`D`
78.1%	2	`M`
80.6%	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))))`
80.6%	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)))`
75.6%	2	`(/.f64 h l)`
80.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
77.6%	2	`(*.f64 M D)`

Compiler

Compiled 94 to 70 computations (25.5% saved)

regimes62.0ms (0.4%)

Memory

-15.0MiB live, 100.6MiB 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 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 h w0) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 M w0)) (.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 D D) (.f64 (.f64 (/.f64 (.f64 h w0) (.f64 l (.f64 d d))) (.f64 M #s(literal -1/8 binary64))) M))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 (.f64 h w0) (.f64 l (.f64 d d))))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M M)))) h) (/.f64 w0 (.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 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h w0))) (.f64 l (.f64 d d))) (.f64 D D))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M M)))) (.f64 h w0)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 M w0)) (.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 h (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 (/ ( (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 l (.f64 d d))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h w0) (.f64 d d)) (.f64 #s(literal -1/8 binary64) (*.f64 M M))) 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) h) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 M (*.f64 M (/.f64 w0 l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h w0))) (*.f64 l d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) (.f64 l d)) (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (*.f64 h w0))) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 M (*.f64 M w0))) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 #s(literal -1/8 binary64) d) (/.f64 (.f64 M (.f64 h (.f64 M w0))) (.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 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.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 h #s(literal -1/8 binary64)) l) (/.f64 (.f64 M (.f64 M w0)) (.f64 d 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)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) 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 M (.f64 h (.f64 M w0)))) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) l) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 h (.f64 M w0)))) (.f64 d d)) 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 (/ ( (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (/.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 (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d 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 D D) (/.f64 (.f64 (.f64 M (.f64 M w0)) #s(literal 1 binary64)) (.f64 l (/.f64 (.f64 d d) (.f64 h #s(literal -1/8 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)))))

Outputs

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

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

Calls

7 calls:

10.0ms	d
9.0ms	h
9.0ms	w0
8.0ms	(*.f64 #s(literal 2 binary64) d)
8.0ms	(.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
75.6%	2	`d`
75.6%	2	`(*.f64 #s(literal 2 binary64) d)`
74.0%	2	`w0`
72.5%	1	`l`
79.2%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
72.5%	1	`h`
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 80 to 62 computations (22.5% saved)

regimes21.0ms (0.1%)

Memory

32.6MiB live, 32.6MiB allocated

Counts

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

Outputs

(*.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 #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

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

6.0ms

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

Results

Accuracy	Segments	Branch
78.0%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
78.0%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
79.5%	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)

regimes20.0ms (0.1%)

Memory

-11.9MiB live, 26.4MiB 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 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 h w0) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 M w0)) (.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 D D) (.f64 (.f64 (/.f64 (.f64 h w0) (.f64 l (.f64 d d))) (.f64 M #s(literal -1/8 binary64))) M))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 (.f64 h w0) (.f64 l (.f64 d d))))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M M)))) h) (/.f64 w0 (.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 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h w0))) (.f64 l (.f64 d d))) (.f64 D D))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M M)))) (.f64 h w0)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 M w0)) (.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 h (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 (/ ( (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 l (.f64 d d))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h w0) (.f64 d d)) (.f64 #s(literal -1/8 binary64) (*.f64 M M))) 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) h) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 M (*.f64 M (/.f64 w0 l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h w0))) (*.f64 l d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) (.f64 l d)) (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (*.f64 h w0))) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 M (*.f64 M w0))) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 #s(literal -1/8 binary64) d) (/.f64 (.f64 M (.f64 h (.f64 M w0))) (.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 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.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 h #s(literal -1/8 binary64)) l) (/.f64 (.f64 M (.f64 M w0)) (.f64 d 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)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) 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 M (.f64 h (.f64 M w0)))) (.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) l) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 h (.f64 M w0)))) (.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 D D) h) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 M (*.f64 M (/.f64 w0 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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
78.8%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
78.8%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
78.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 62 to 44 computations (29% saved)

regimes15.0ms (0.1%)

Memory

-18.5MiB live, 20.2MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

5.0ms	M
4.0ms	D
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
77.6%	2	`M`
77.1%	2	`D`
78.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes7.0ms (0%)

Memory

9.9MiB live, 9.9MiB 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 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 h w0) (.f64 (.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 M w0)) (.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 D D) (.f64 (.f64 (/.f64 (.f64 h w0) (.f64 l (.f64 d d))) (.f64 M #s(literal -1/8 binary64))) M))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 (.f64 h w0) (.f64 l (.f64 d d))))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M M)))) h) (/.f64 w0 (.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 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h w0))) (.f64 l (.f64 d d))) (.f64 D D))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M M)))) (.f64 h w0)) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 M w0)) (.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))

Outputs

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

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

Calls

2 calls:

3.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
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
76.9%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
78.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes3.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
78.0%	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)

regimes2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
78.0%	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)

regimes8.0ms (0%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
72.6%	2	`(*.f64 M D)`
72.9%	2	`M`
77.6%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
76.0%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
77.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 74 to 54 computations (27% saved)

regimes30.0ms (0.2%)

Memory

-5.7MiB live, 33.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

15 calls:

12.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) 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	l
1.0ms	(*.f64 #s(literal 2 binary64) d)
1.0ms	w0

Results

Accuracy	Segments	Branch
66.4%	1	`(*.f64 M D)`
66.4%	1	`M`
66.4%	1	`h`
66.4%	1	`l`
66.4%	1	`w0`
66.4%	1	`d`
66.4%	1	`(*.f64 #s(literal 2 binary64) d)`
66.4%	1	`(/.f64 h l)`
66.4%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
66.4%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
66.4%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
66.4%	1	`D`
66.4%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
66.4%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
66.4%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 183 to 140 computations (23.5% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1565879113517438e-147	6.754429392235492e-96

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7688433119242977e-48	4.129452371569798e-30

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.79e-321

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.214192110089953e-12	-1.2832517217775669e-33

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch40.0ms (0.2%)

Memory

-25.2MiB live, 14.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
38.0ms	3.9632673031376705e+144	8.064095473709688e+145

Samples

33.0ms	96×	0	valid
1.0ms	6×	0	invalid

Compiler

Compiled 375 to 260 computations (30.7% saved)

Precisions

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

ival-mult: 2.0ms (33.3% of total)

ival-div: 1.0ms (16.7% of total)

ival-sqrt: 1.0ms (16.7% of total)

ival-pow2: 1.0ms (16.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.900061410919736e-95	4.7393818286182174e-89

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.900061410919736e-95	4.7393818286182174e-89

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch10.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
9.0ms	1.1446763004534595e-148	6.620111150097905e-145

Samples

6.0ms	64×	0	valid
0.0ms	4×	0	invalid

Compiler

Compiled 187 to 138 computations (26.2% saved)

Precisions

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

ival-div: 1.0ms (25% of total)

ival-mult: 1.0ms (25% of total)

ival-pow2: 1.0ms (25% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.353758387486465e-78	9.306140320800508e-78

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	-7.646599432407173e+29	-2.32170231041065e+25

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.646599432407173e+29	-2.32170231041065e+25

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	-7.646599432407173e+29	-2.32170231041065e+25

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.633607410809729e+307	-1.7198737904439276e+303

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.01188839099562e+217	-1.7787625659182769e+199

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.633607410809729e+307	-1.7198737904439276e+303

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.633607410809729e+307	-1.7198737904439276e+303

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.633607410809729e+307	-1.7198737904439276e+303

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.633607410809729e+307	-1.7198737904439276e+303

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify27.0ms (0.2%)

Memory

-8.8MiB live, 28.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	1382
1	324	1382
2	337	1382
3	351	1382
4	372	1382
5	384	1382
6	392	1382
7	395	1382

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 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 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)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 822752278660603/411376139330301510538742295639337626245683966408394965837152256 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 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 0 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 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #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 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 M D) #s(literal -1/4 binary64)) (.f64 d d))) (.f64 M 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 D #s(literal 49999999999999996681683364986231121055509847158923091289463001947809936825071710129649256226662527266508888537465191395528952846213699856588865536 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (/.f64 (.f64 M h) d)) #s(literal -1/4 binary64)) (.f64 d l)) #s(literal 1 binary64))))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 l (.f64 d d)))) (.f64 M (neg.f64 D)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 M D) #s(literal 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 l (.f64 d d)))) (*.f64 M (neg.f64 D)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 M D) #s(literal 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 M #s(literal -1/4 binary64)))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) w0))
(if (<=.f64 M #s(literal 5758609657015291/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (.f64 D (.f64 h (.f64 (.f64 M M) #s(literal -1/4 binary64)))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) w0))
(if (<=.f64 (.f64 M D) #s(literal 6257774519299541/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M)))) (.f64 l (.f64 d d))) D #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500000000000000009942312419328 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 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 -500000000000000009942312419328 binary64)) (.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (.f64 d d) l)))) w0) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500000000000000009942312419328 binary64)) (.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 #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 -50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 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) h) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 M (.f64 M (/.f64 w0 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 -9999999999999999601855055748251769806450047292244542376488118125689672251656359867008764503902493796828096692073033110439215789148209291468717978517470477604338250142827222541691722147321863584969741246387925089779712 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 h (.f64 M w0))) (.f64 d (.f64 d l)))) D w0)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 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 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M M)))) h) (/.f64 w0 (.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 -50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 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 D D) (.f64 (.f64 (/.f64 (.f64 h w0) (.f64 l (.f64 d d))) (.f64 M #s(literal -1/8 binary64))) M)))) (.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 -50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 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 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 M w0)) (.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 -50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 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 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 h w0) (.f64 (.f64 d d) l)))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
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(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 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 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 M w0)) (.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 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 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 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 M (.f64 w0 M)) (.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 -50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 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 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 h w0) (.f64 (.f64 d d) l)))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 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 D D) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 h) (.f64 l (.f64 d d))))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

soundness1.9s (11.1%)

Memory

41.1MiB live, 1 657.9MiB allocated

Rules

10 592×	`lower-*.f64`
10 592×	`lower-*.f32`
8 912×	`lower-fma.f64`
8 912×	`lower-fma.f32`
8 580×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	442
0	108	434
1	356	382
2	3248	382
0	9070	378
0	628	8158
1	2189	8136
0	8486	7930
0	17	78
0	26	78
1	82	78
2	550	78
3	7073	78
0	8661	78
0	682	37014
1	2357	36798
0	8503	35676
0	684	36085
1	2365	35925
0	8563	34921
0	67	546
0	114	542
1	386	542
2	2888	542
0	8233	542
0	79	553
0	128	551
1	438	541
2	3109	531
0	9085	527

Stop Event

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

Compiler

Compiled 2 215 to 1 080 computations (51.2% saved)

preprocess237.0ms (1.4%)

Memory

4.6MiB live, 403.2MiB allocated

Remove

(sort M D)

(negabs w0)

(abs M)

(abs D)

(abs d)

Compiler

Compiled 3 778 to 1 342 computations (64.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze453.0ms (2.6%)

sample2.1s (12%)

explain303.0ms (1.7%)

preprocess281.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify227.0ms (1.3%)

localize83.0ms (0.5%)

series125.0ms (0.7%)

simplify317.0ms (1.8%)

rewrite261.0ms (1.5%)

eval130.0ms (0.7%)

prune348.0ms (2%)

simplify161.0ms (0.9%)

localize235.0ms (1.4%)

series396.0ms (2.3%)

simplify410.0ms (2.4%)

rewrite292.0ms (1.7%)

eval269.0ms (1.5%)

prune454.0ms (2.6%)

simplify269.0ms (1.5%)

localize430.0ms (2.5%)

series234.0ms (1.3%)

simplify632.0ms (3.6%)

rewrite380.0ms (2.2%)

eval299.0ms (1.7%)

prune553.0ms (3.2%)

simplify176.0ms (1%)

localize214.0ms (1.2%)

series351.0ms (2%)

simplify435.0ms (2.5%)

rewrite604.0ms (3.5%)

eval321.0ms (1.8%)

prune1.3s (7.5%)

regimes380.0ms (2.2%)

regimes341.0ms (2%)

regimes74.0ms (0.4%)

regimes70.0ms (0.4%)

regimes299.0ms (1.7%)

regimes263.0ms (1.5%)

regimes61.0ms (0.4%)

regimes71.0ms (0.4%)

regimes169.0ms (1%)

regimes49.0ms (0.3%)

regimes101.0ms (0.6%)

regimes63.0ms (0.4%)

regimes62.0ms (0.4%)

regimes21.0ms (0.1%)

regimes20.0ms (0.1%)

regimes15.0ms (0.1%)

regimes7.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes8.0ms (0%)

regimes30.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch40.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.2%)

soundness1.9s (11.1%)

preprocess237.0ms (1.4%)

end0.0ms (0%)

Profiling