Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze469.0ms (4.5%)

Memory

20.1MiB live, 697.7MiB 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)

sample2.4s (23%)

Memory

40.9MiB live, 2 004.9MiB allocated

Samples

1.2s	8 256×	0	valid
397.0ms	2 727×	0	invalid

Precisions

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

ival-mult: 380.0ms (35% of total)

ival-div: 314.0ms (28.9% of total)

ival-pow2: 153.0ms (14.1% of total)

ival-sub: 109.0ms (10% of total)

ival-sqrt: 103.0ms (9.5% of total)

exact: 12.0ms (1.1% of total)

ival-true: 10.0ms (0.9% of total)

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

Bogosity

explain287.0ms (2.8%)

Memory

-19.0MiB live, 230.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
42	1	(4.464694540463534e+77 -8.54458550961015e-53 1.661331715313576e+160 -4.71103850207437e-286 -2.1885586515363148e+71 1.2858373296138589e+91)	3	(-4.4771534148660257e-305 -1.1924491380570524e+182 -5.119634672358524e-106 3.085940659596722e-45 1.3216293141944266e+274 2.149436440955519e+39)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
28	0	-	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))))`
24	0	-	2	(1.0026114536765121e-53 -6.333845714225863e-286 -8.162416718643485e-36 2.172757827170805e-77 -5.996874919049725e-192 -1.6016537178065485e-145)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
8	0	-	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	-	0	-	`D`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	0	-	0	-	`(/.f64 h l)`
0	0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	0	-	0	-	`d`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 M D)`
0	0	-	0	-	`w0`
0	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	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`l`
0	0	-	0	-	`M`
0	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	28	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	63
↳	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`	overflow	57
↳	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	overflow	29
↳	`(*.f64 M D)`	overflow	31
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	33
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	57
↳	`(/.f64 h l)`	overflow	21
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	11	0
↳	`(*.f64 M D)`	overflow	31
`*.f64`	`(.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 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**	8	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	63
↳	`(*.f64 M D)`	overflow	31
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	33
↳	`(/.f64 h l)`	underflow	31
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	112
↳	`(*.f64 M D)`	underflow	37
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	57
↳	`(/.f64 h l)`	overflow	21

Confusion

	Predicted +	Predicted -
+	38	9
-	16	193

Precision

0.7037037037037037

Recall

0.8085106382978723

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	9
-	16	0	193

Precision?

0.7037037037037037

Recall?

0.8085106382978723

Freqs

test

number	freq
0	202
1	47
2	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

84.0ms

512×

valid

Compiler

Compiled 307 to 72 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sqrt: 16.0ms (36.1% of total)

ival-mult: 12.0ms (27.1% of total)

ival-div: 8.0ms (18.1% of total)

ival-pow2: 5.0ms (11.3% of total)

ival-sub: 2.0ms (4.5% of total)

ival-true: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

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

preprocess160.0ms (1.5%)

Memory

-1.9MiB live, 164.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	501
1	528	492
2	1701	492
3	5688	492
0	17	18
0	26	18
1	49	18
2	124	18
3	926	18
4	5132	18
0	8254	18

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 18 to 17 computations (5.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 6 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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 18 to 17 computations (5.6% saved)

simplify121.0ms (1.2%)

Memory

-5.5MiB live, 114.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	26	95
1	49	95
2	124	95
3	926	95
4	5132	95
0	8254	95

Stop Event

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

Calls

Call 1

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

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

localize103.0ms (1%)

Memory

-23.9MiB live, 53.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.9246195246828723	(.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	5.293477143795773	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	6.475338007409427	(sqrt.f64 (-.f64 #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	9.720348083645709	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

69.0ms

256×

valid

Compiler

Compiled 192 to 36 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (39.6% of total)

ival-div: 4.0ms (26.4% of total)

ival-sqrt: 2.0ms (13.2% of total)

ival-pow2: 2.0ms (13.2% of total)

ival-sub: 1.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

series89.0ms (0.9%)

Memory

29.5MiB live, 67.9MiB allocated

Counts

5 → 89

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	h	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
7.0ms	h	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
5.0ms	M	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms	d	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms	h	@	-inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))

simplify104.0ms (1%)

Memory

-27.8MiB live, 53.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	626	4390
0	2419	4249

Stop Event

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

Counts

89 → 88

Calls

Call 1

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

Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (.f64 h h) w0) (.f64 M M)) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 M M) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) w0) (.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 M M) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 M M) w0)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) (.f64 M M)) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) (.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (.f64 M M) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M)
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 M M)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (.f64 M M))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d)))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M))
(* -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)))))))
(neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(neg.f64 (.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(neg.f64 (.f64 (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M))
(* -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)))))))
(neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l))))) M))
(* -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))))))))
(neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))) M))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))) (*.f64 D D) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))) (*.f64 D D) w0)
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D) #s(literal 1 binary64))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (.f64 D D) #s(literal 1 binary64))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
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(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
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(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
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(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
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(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
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(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
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rewrite180.0ms (1.7%)

Memory

28.5MiB live, 147.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
0	26	69
1	85	69
2	575	69
0	8263	66

Stop Event

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

Counts

5 → 630

Calls

Call 1

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

Outputs
(.f64 (.f64 w0 (pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
(.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))))
(/.f64 (.f64 (sin.f64 (acos.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64))))
(/.f64 (.f64 w0 (sin.f64 (acos.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)))))) (sqrt.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))))
(/.f64 (.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64))))
(.f64 (neg.f64 (pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (sin.f64 (acos.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)))))
(.f64 (sin.f64 (acos.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))))) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (sin.f64 (acos.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))))) (pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)))))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64)))))
(/.f64 (sin.f64 (acos.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))))) (sqrt.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))) (sin.f64 (acos.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))))
(exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)))) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)))) #s(literal 2 binary64)))) (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)))) (-.f64 (.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d)) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64)))))
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(/.f64 (.f64 (.f64 (*.f64 D M) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 d))
(/.f64 (.f64 (.f64 (neg.f64 M) D) (pow.f64 d #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 M) (/.f64 D d)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 D d) (neg.f64 M)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (neg.f64 D)) (neg.f64 d))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 D d) M)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 D M) #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) d) (*.f64 (/.f64 D d) M)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) d) (.f64 (.f64 D M) #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (.f64 (pow.f64 d #s(literal -1 binary64)) (.f64 D M)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) d)
(/.f64 (.f64 (pow.f64 d #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 D d) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) M))
(/.f64 (.f64 #s(literal 1 binary64) M) (.f64 d (/.f64 #s(literal 2 binary64) D)))
(/.f64 (.f64 M #s(literal 1 binary64)) (.f64 d (/.f64 #s(literal 2 binary64) D)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) d) (.f64 (.f64 #s(literal 1/2 binary64) M) D)) d)
(/.f64 (/.f64 (.f64 (neg.f64 M) D) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) d))
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) d) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) d) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 D M) (neg.f64 d)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64))
(/.f64 (fabs.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64))) (fabs.f64 (neg.f64 d)))
(/.f64 (fabs.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) D)) (fabs.f64 d))
(/.f64 (fabs.f64 (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))
(/.f64 (fabs.f64 (.f64 D M)) (.f64 #s(literal -2 binary64) d))
(/.f64 (exp.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) D))) (exp.f64 (log.f64 d)))
(/.f64 (exp.f64 (log.f64 (.f64 (neg.f64 M) D))) (exp.f64 (log.f64 (.f64 #s(literal -2 binary64) d))))
(/.f64 (exp.f64 (log.f64 (.f64 D M))) (exp.f64 (log.f64 (.f64 #s(literal -2 binary64) d))))
(/.f64 (*.f64 (/.f64 D d) M) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64))
(/.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) D) M))
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M))
(/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) D))
(/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 d)))
(/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) (neg.f64 d))
(/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) D) (neg.f64 (neg.f64 d)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) D) (neg.f64 d))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) D) d)
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M))
(/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 d D))
(/.f64 (.f64 (neg.f64 M) D) (.f64 #s(literal -2 binary64) d))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d M) D))
(/.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -2 binary64) d) (pow.f64 (.f64 D M) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal -2 binary64) d) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))
(/.f64 (.f64 D M) (.f64 #s(literal -2 binary64) d))
(/.f64 D (*.f64 d (/.f64 #s(literal 2 binary64) M)))
(/.f64 M (*.f64 d (/.f64 #s(literal 2 binary64) D)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))
(neg.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)))
(-.f64 (cosh.f64 (log.f64 (.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))) (sinh.f64 (log.f64 (.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(fabs.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (cosh.f64 (log.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sinh.f64 (log.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))))

eval167.0ms (1.6%)

Memory: -34.5MiB live, 138.5MiB allocated
Compiler: Compiled 23 588 to 3 808 computations (83.9% saved)

prune56.0ms (0.5%)

Memory

17.6MiB live, 57.4MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	699	18	717
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	699	19	718

Accuracy

90.0%

Counts

718 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 h l) D) (.f64 (*.f64 #s(literal -2 binary64) d) M))) #s(literal 1 binary64))))
	80.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
	72.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
▶	80.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) M))) (.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	79.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
	53.1%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 M) D) (.f64 (.f64 #s(literal -2 binary64) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (.f64 #s(literal -2 binary64) d) M))) #s(literal 1 binary64))))
	58.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D M) (.f64 (.f64 (/.f64 h l) D) (.f64 (.f64 #s(literal -2 binary64) d) M)) #s(literal 1 binary64))))
	72.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 d d) (/.f64 l h))))))
	72.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) M) D)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))
	72.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 D M)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))
	73.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 D M) (.f64 (.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d) (/.f64 l h))))))
✓	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)))))
▶	81.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))))))
	79.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 M l) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64)) M) (pow.f64 h #s(literal -1 binary64)))))))
	59.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) h)) h))))
▶	15.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
	56.7%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
▶	66.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	55.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))

Compiler

Compiled 924 to 773 computations (16.3% saved)

simplify151.0ms (1.5%)

Memory

-13.1MiB live, 107.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	572
0	96	578
1	216	578
2	912	562
3	5451	556
0	8157	550

Stop Event

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

Calls

Call 1

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

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

localize181.0ms (1.8%)

Memory

27.6MiB live, 223.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	2.656554153687888	(fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	6.136685145435025	(.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))
accuracy	6.475338007409427	(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	7.9714330184897415	(.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) M)))
accuracy	2.6446402002567964	(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))
accuracy	6.475338007409427	(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64)))
accuracy	8.760533327695567	(*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l))
accuracy	9.972104059644042	(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
accuracy	7.20496585726169	(.f64 (.f64 M M) h)
accuracy	12.665790770901843	(/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l))
accuracy	16.134955207989556	(.f64 (.f64 (.f64 M M) h) (.f64 D D))
accuracy	40.072904666832954	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))
accuracy	1.9246195246828723	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	21.737563640483174	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	4.635690591821156	(.f64 (/.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))))
accuracy	5.004384222832925	(/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))
accuracy	6.475338007409427	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))))))
accuracy	9.972104059644042	(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))

Samples

142.0ms

256×

valid

Compiler

Compiled 1 094 to 117 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-div: 35.0ms (38.7% of total)

ival-mult: 33.0ms (36.5% of total)

ival-sqrt: 9.0ms (10% of total)

ival-pow: 4.0ms (4.4% of total)

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

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

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

exact: 1.0ms (1.1% of total)

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

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

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

series95.0ms (0.9%)

Memory

-24.9MiB live, 169.8MiB allocated

Counts

24 → 102

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
14.0ms	D	@	0	((/ (/ D d) (pow h -1)) (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))) (* w0 (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))))) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) (+ (* (* (/ D d) (* (* M M) 1/4)) (* (/ D d) (/ (neg h) l))) 1) (* w0 (sqrt (+ (* (* (/ D d) (* (* M M) 1/4)) (* (/ D d) (/ (neg h) l))) 1))) (sqrt (+ (* (* (/ D d) (* (* M M) 1/4)) (* (/ D d) (/ (neg h) l))) 1)) (* (/ D d) (* (* M M) 1/4)) (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) 1)) (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))) (* (* (* M M) h) (* D D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* M M) h) (* (/ D d) (/ (neg h) l)) (* (* D 1/2) (* (/ M d) M)))
7.0ms	w0	@	0	((/ (/ D d) (pow h -1)) (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))) (* w0 (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))))) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) (+ (* (* (/ D d) (* (* M M) 1/4)) (* (/ D d) (/ (neg h) l))) 1) (* w0 (sqrt (+ (* (* (/ D d) (* (* M M) 1/4)) (* (/ D d) (/ (neg h) l))) 1))) (sqrt (+ (* (* (/ D d) (* (* M M) 1/4)) (* (/ D d) (/ (neg h) l))) 1)) (* (/ D d) (* (* M M) 1/4)) (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) 1)) (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))) (* (* (* M M) h) (* D D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* M M) h) (* (/ D d) (/ (neg h) l)) (* (* D 1/2) (* (/ M d) M)))
7.0ms	h	@	0	((/ (/ D d) (pow h -1)) (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))) (* w0 (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))))) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) (+ (* (* (/ D d) (* (* M M) 1/4)) (* (/ D d) (/ (neg h) l))) 1) (* w0 (sqrt (+ (* (* (/ D d) (* (* M M) 1/4)) (* (/ D d) (/ (neg h) l))) 1))) (sqrt (+ (* (* (/ D d) (* (* M M) 1/4)) (* (/ D d) (/ (neg h) l))) 1)) (* (/ D d) (* (* M M) 1/4)) (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) 1)) (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))) (* (* (* M M) h) (* D D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* M M) h) (* (/ D d) (/ (neg h) l)) (* (* D 1/2) (* (/ M d) M)))
5.0ms	d	@	0	((/ (/ D d) (pow h -1)) (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))) (* w0 (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))))) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) (+ (* (* (/ D d) (* (* M M) 1/4)) (* (/ D d) (/ (neg h) l))) 1) (* w0 (sqrt (+ (* (* (/ D d) (* (* M M) 1/4)) (* (/ D d) (/ (neg h) l))) 1))) (sqrt (+ (* (* (/ D d) (* (* M M) 1/4)) (* (/ D d) (/ (neg h) l))) 1)) (* (/ D d) (* (* M M) 1/4)) (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) 1)) (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))) (* (* (* M M) h) (* D D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* M M) h) (* (/ D d) (/ (neg h) l)) (* (* D 1/2) (* (/ M d) M)))
5.0ms	h	@	-inf	((/ (/ D d) (pow h -1)) (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))) (* w0 (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))))) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) (+ (* (* (/ D d) (* (* M M) 1/4)) (* (/ D d) (/ (neg h) l))) 1) (* w0 (sqrt (+ (* (* (/ D d) (* (* M M) 1/4)) (* (/ D d) (/ (neg h) l))) 1))) (sqrt (+ (* (* (/ D d) (* (* M M) 1/4)) (* (/ D d) (/ (neg h) l))) 1)) (* (/ D d) (* (* M M) 1/4)) (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) 1)) (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))) (* (* (* M M) h) (* D D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* M M) h) (* (/ D d) (/ (neg h) l)) (* (* D 1/2) (* (/ M d) M)))

simplify83.0ms (0.8%)

Memory

5.9MiB live, 126.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	653	4586
0	2501	4437

Stop Event

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

Counts

102 → 101

Calls

Call 1

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

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

rewrite157.0ms (1.5%)

Memory

-9.7MiB live, 268.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	448
0	96	454
1	331	438
2	2778	398
0	8670	398

Stop Event

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

Counts

24 → 745

Calls

Call 1

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

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

eval103.0ms (1%)

Memory: 32.7MiB live, 226.3MiB allocated
Compiler: Compiled 27 722 to 4 060 computations (85.4% saved)

prune33.0ms (0.3%)

Memory

12.2MiB live, 89.5MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	752	17	769
Fresh	7	6	13
Picked	4	1	5
Done	1	0	1
Total	764	24	788

Accuracy

91.9%

Counts

788 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 h l) D) (.f64 (*.f64 #s(literal -2 binary64) d) M))) #s(literal 1 binary64))))
▶	85.8%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 (/.f64 D d) M) M) #s(literal -1/4 binary64)) l) (/.f64 D d)) h #s(literal 1 binary64))))
	81.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 M d) (.f64 M (.f64 #s(literal 1/2 binary64) D)))) (.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	79.0%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 D (/.f64 (neg.f64 h) (.f64 l d))) #s(literal 1 binary64))))
	53.1%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 M) D) (.f64 (.f64 #s(literal -2 binary64) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (.f64 #s(literal -2 binary64) d) M))) #s(literal 1 binary64))))
	58.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D M) (.f64 (.f64 (/.f64 h l) D) (.f64 (.f64 #s(literal -2 binary64) d) M)) #s(literal 1 binary64))))
	79.9%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) D) h)) (.f64 l d))) (.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	73.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 D M) (.f64 (.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d) (/.f64 l h))))))
	82.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 D (.f64 (.f64 (/.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D)) d) (/.f64 d h))))))
	85.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
	22.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/4 binary64)) d) (.f64 l d)))))
	19.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 h d) (.f64 (/.f64 M d) M)) (.f64 (/.f64 (*.f64 D D) l) #s(literal -1/4 binary64))))))
▶	18.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)) #s(literal -1/4 binary64))))))
	17.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (*.f64 d d) l))))))
▶	18.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) l))))))
	21.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) (/.f64 D (.f64 l d)))))))
	18.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 (.f64 D D) h) (.f64 l d)))))))
	18.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D (.f64 (*.f64 d d) l)))))))
	16.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) (.f64 (.f64 (.f64 D D) h) (/.f64 (pow.f64 d #s(literal -2 binary64)) l)))))))
	16.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) (.f64 (*.f64 d d) l)))))))
	19.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 (.f64 M h) (.f64 (/.f64 D (.f64 d d)) (/.f64 D l))))))))
	56.7%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
✓	66.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	55.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))

Compiler

Compiled 1 434 to 1 117 computations (22.1% saved)

simplify129.0ms (1.2%)

Memory

-4.9MiB live, 200.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	697
0	113	697
1	254	697
2	1105	697
3	5265	697
0	8919	697

Stop Event

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

Calls

Call 1

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

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

localize174.0ms (1.7%)

Memory

-8.3MiB live, 256.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.048057084789795	(fma.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 h l) D) (.f64 (.f64 #s(literal -2 binary64) d) M))) #s(literal 1 binary64))
accuracy	5.261485422073958	(*.f64 (/.f64 h l) D)
accuracy	6.087941041844721	(sqrt.f64 (fma.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 h l) D) (.f64 (.f64 #s(literal -2 binary64) d) M))) #s(literal 1 binary64)))
accuracy	6.175494062330661	(.f64 (.f64 (/.f64 h l) D) (.f64 (.f64 #s(literal -2 binary64) d) M))
accuracy	6.486895677324255	(.f64 (.f64 M M) h)
accuracy	6.569698118366058	(.f64 (/.f64 D (.f64 d d)) (/.f64 D l))
accuracy	9.834263040191487	(.f64 (.f64 (.f64 M M) h) (.f64 (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)) #s(literal -1/4 binary64)))
accuracy	35.691737718286305	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)) #s(literal -1/4 binary64))))
accuracy	6.475338007409427	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) l)))))
accuracy	10.49928518208584	(.f64 (.f64 D D) h)
accuracy	10.967576858682374	(/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (.f64 (.f64 d d) l))
accuracy	35.691737718286305	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) l))))
accuracy	7.719059323966036	(.f64 (.f64 (*.f64 M M) h) w0)
accuracy	10.164212033516309	(/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l))
accuracy	11.474441369453102	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
accuracy	14.810189250723518	(.f64 (.f64 (.f64 (.f64 M M) h) w0) (*.f64 D D))
accuracy	3.915805657840372	(/.f64 (.f64 (.f64 (*.f64 (/.f64 D d) M) M) #s(literal -1/4 binary64)) l)
accuracy	4.3233971705083665	(*.f64 (/.f64 D d) M)
accuracy	4.939520230130456	(.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) M) #s(literal -1/4 binary64)) l) (/.f64 D d))
accuracy	6.475338007409427	(sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) M) #s(literal -1/4 binary64)) l) (/.f64 D d)) h #s(literal 1 binary64)))

Samples

101.0ms	238×	0	valid
16.0ms	18×	0	invalid

Compiler

Compiled 1 274 to 132 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 52.0ms (62.9% of total)

ival-div: 18.0ms (21.8% of total)

ival-sqrt: 5.0ms (6% of total)

ival-add: 3.0ms (3.6% of total)

ival-pow2: 2.0ms (2.4% of total)

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

exact: 1.0ms (1.2% of total)

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

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

series189.0ms (1.8%)

Memory

5.5MiB live, 292.7MiB allocated

Counts

29 → 192

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	h	@	0	((* w0 (sqrt (+ (* (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) h) 1))) (sqrt (+ (* (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) h) 1)) (+ (* (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) h) 1) (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (/ (* M (* M (* (* D D) h))) (* (* d d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* M M) h) (* (* (/ D (* d d)) (/ D l)) -1/4)) (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1)) (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1) (/ M d) (* (/ D d) M) (/ (* (* (* (/ D d) M) M) -1/4) l) (* (* (* M M) h) w0) (/ (* M (* M (* (* D D) h))) (* (* d d) l)) (* (* D D) h) (* (/ D (* d d)) (/ D l)) (* (* M M) h) (* (* (/ h l) D) (* (* -2 d) M)) (* (/ h l) D))
21.0ms	h	@	-inf	((* w0 (sqrt (+ (* (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) h) 1))) (sqrt (+ (* (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) h) 1)) (+ (* (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) h) 1) (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (/ (* M (* M (* (* D D) h))) (* (* d d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* M M) h) (* (* (/ D (* d d)) (/ D l)) -1/4)) (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1)) (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1) (/ M d) (* (/ D d) M) (/ (* (* (* (/ D d) M) M) -1/4) l) (* (* (* M M) h) w0) (/ (* M (* M (* (* D D) h))) (* (* d d) l)) (* (* D D) h) (* (/ D (* d d)) (/ D l)) (* (* M M) h) (* (* (/ h l) D) (* (* -2 d) M)) (* (/ h l) D))
15.0ms	D	@	inf	((* w0 (sqrt (+ (* (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) h) 1))) (sqrt (+ (* (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) h) 1)) (+ (* (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) h) 1) (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (/ (* M (* M (* (* D D) h))) (* (* d d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* M M) h) (* (* (/ D (* d d)) (/ D l)) -1/4)) (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1)) (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1) (/ M d) (* (/ D d) M) (/ (* (* (* (/ D d) M) M) -1/4) l) (* (* (* M M) h) w0) (/ (* M (* M (* (* D D) h))) (* (* d d) l)) (* (* D D) h) (* (/ D (* d d)) (/ D l)) (* (* M M) h) (* (* (/ h l) D) (* (* -2 d) M)) (* (/ h l) D))
14.0ms	w0	@	-inf	((* w0 (sqrt (+ (* (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) h) 1))) (sqrt (+ (* (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) h) 1)) (+ (* (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) h) 1) (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (/ (* M (* M (* (* D D) h))) (* (* d d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* M M) h) (* (* (/ D (* d d)) (/ D l)) -1/4)) (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1)) (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1) (/ M d) (* (/ D d) M) (/ (* (* (* (/ D d) M) M) -1/4) l) (* (* (* M M) h) w0) (/ (* M (* M (* (* D D) h))) (* (* d d) l)) (* (* D D) h) (* (/ D (* d d)) (/ D l)) (* (* M M) h) (* (* (/ h l) D) (* (* -2 d) M)) (* (/ h l) D))
12.0ms	M	@	-inf	((* w0 (sqrt (+ (* (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) h) 1))) (sqrt (+ (* (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) h) 1)) (+ (* (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) h) 1) (* (/ (* (* (* (/ D d) M) M) -1/4) l) (/ D d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (/ (* M (* M (* (* D D) h))) (* (* d d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* M M) h) (* (* (/ D (* d d)) (/ D l)) -1/4)) (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1)) (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1) (/ M d) (* (/ D d) M) (/ (* (* (* (/ D d) M) M) -1/4) l) (* (* (* M M) h) w0) (/ (* M (* M (* (* D D) h))) (* (* d d) l)) (* (* D D) h) (* (/ D (* d d)) (/ D l)) (* (* M M) h) (* (* (/ h l) D) (* (* -2 d) M)) (* (/ h l) D))

simplify256.0ms (2.5%)

Memory

8.5MiB live, 204.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1074	8271
0	4131	7986

Stop Event

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

Counts

192 → 191

Calls

Call 1

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

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

rewrite193.0ms (1.9%)

Memory

-21.7MiB live, 291.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	540
0	113	540
1	367	540
2	2759	514
0	8287	514

Stop Event

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

Counts

29 → 773

Calls

Call 1

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

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

eval318.0ms (3.1%)

Memory: -0.4MiB live, 292.8MiB allocated
Compiler: Compiled 39 685 to 5 015 computations (87.4% saved)

prune45.0ms (0.4%)

Memory

-15.4MiB live, 110.9MiB allocated

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	887	23	910
Fresh	9	9	18
Picked	4	1	5
Done	0	1	1
Total	900	34	934

Accuracy

91.9%

Counts

934 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (/.f64 D d)) M)) D) (.f64 l d)) h #s(literal 1 binary64))))
▶	59.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 h (.f64 (.f64 D (*.f64 #s(literal -2 binary64) d)) M)) l)) #s(literal 1 binary64))))
✓	62.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 h l) D) (.f64 (*.f64 #s(literal -2 binary64) d) M))) #s(literal 1 binary64))))
	81.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 M d) (.f64 M (.f64 #s(literal 1/2 binary64) D)))) (.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	80.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(approx (/ (* (* (* (/ D d) M) M) -1/4) l) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) D)) (.f64 l d))) (/.f64 D d)) h #s(literal 1 binary64))))
▶	85.8%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D (pow.f64 (.f64 d (/.f64 l (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (/.f64 D d)) M)))) #s(literal -1 binary64))) h #s(literal 1 binary64))))
	73.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 D M) (.f64 (.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d) (/.f64 l h))))))
	82.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 D (.f64 (.f64 (/.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D)) d) (/.f64 d h))))))
	85.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
	22.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/4 binary64)) d) (.f64 l d)))))
	19.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 h d) (.f64 (/.f64 M d) M)) (.f64 (/.f64 (*.f64 D D) l) #s(literal -1/4 binary64))))))
	19.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 h M) M) (.f64 (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)) #s(literal -1/4 binary64))))))
	17.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 (.f64 (/.f64 D l) D) (.f64 d d)) #s(literal -1/4 binary64))))))
	20.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 (/.f64 D d) (/.f64 D (.f64 l d))) #s(literal -1/4 binary64))))))
	18.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D (/.f64 D (.f64 (*.f64 d d) l))) #s(literal -1/4 binary64))))))
	21.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 M (.f64 (.f64 h M) (.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 D d) d)) (/.f64 D l)))))))
	17.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (*.f64 d d) l))))))
	19.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 h D) D))) (.f64 (*.f64 d d) l))))))
▶	21.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) (/.f64 D (.f64 l d)))))))
	20.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 l d)))))))
▶	16.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) (.f64 (*.f64 d d) l)))))))
	16.1%	(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1) (neg.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
✓	66.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	68.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) D) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	51.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	53.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	74.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) w0) D) l) (/.f64 (/.f64 D d) d)) #s(literal -1/8 binary64) w0))
	76.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (.f64 l d))) #s(literal -1/8 binary64) w0))
	71.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) (*.f64 (/.f64 (/.f64 D d) d) D)) #s(literal -1/8 binary64) w0))
	62.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d))) #s(literal -1/8 binary64) w0))
	70.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) w0) (/.f64 (/.f64 D d) d)) (/.f64 D l)) #s(literal -1/8 binary64) w0))
	15.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
	26.4%	#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (.f64 D D)) (pow.f64 l #s(literal 3 binary64))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l)) #s(literal -1/8 binary64))) (.f64 D D) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) #s(literal -1/2 binary64))) (*.f64 D D) w0))
▶	59.9%	#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/2 binary64) w0))

Compiler

Compiled 2 341 to 1 747 computations (25.4% saved)

simplify135.0ms (1.3%)

Memory

7.5MiB live, 122.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	731
0	125	731
1	276	730
2	1054	722
3	4940	720
0	8278	720

Stop Event

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

Calls

Call 1

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

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

localize200.0ms (1.9%)

Memory

9.2MiB live, 321.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.12476504820356	(/.f64 (.f64 h (.f64 (.f64 D (.f64 #s(literal -2 binary64) d)) M)) l)
accuracy	4.604717539978345	(.f64 h (.f64 (.f64 D (.f64 #s(literal -2 binary64) d)) M))
accuracy	5.54093080308555	(.f64 (.f64 D (*.f64 #s(literal -2 binary64) d)) M)
accuracy	6.087941041844721	(sqrt.f64 (fma.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 h (.f64 (.f64 D (.f64 #s(literal -2 binary64) d)) M)) l)) #s(literal 1 binary64)))
accuracy	5.899503148900148	(.f64 (.f64 (*.f64 M M) h) D)
accuracy	6.475338007409427	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) (/.f64 D (.f64 l d))))))
accuracy	6.486895677324255	(.f64 (.f64 M M) h)
accuracy	35.691737718286305	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) (/.f64 D (.f64 l d)))))
accuracy	6.486895677324255	(.f64 (.f64 M M) h)
accuracy	9.110041631432862	(/.f64 (.f64 (.f64 M M) h) (.f64 (.f64 d d) l))
accuracy	14.983535899975386	(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) (.f64 (.f64 d d) l)))
accuracy	35.691737718286305	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) (.f64 (*.f64 d d) l)))))
accuracy	6.486895677324255	(.f64 (.f64 M M) h)
accuracy	7.719059323966036	(.f64 (.f64 (*.f64 M M) h) w0)
accuracy	13.051353700851054	#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/2 binary64) w0))
accuracy	14.087643870044362	(.f64 (.f64 D D) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l))
accuracy	3.869481476526957	(/.f64 l (.f64 #s(literal -1/4 binary64) (.f64 (*.f64 M (/.f64 D d)) M)))
accuracy	3.902908290502846	(.f64 d (/.f64 l (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (/.f64 D d)) M))))
accuracy	4.3233971705083665	(*.f64 M (/.f64 D d))
accuracy	6.475338007409427	(sqrt.f64 (fma.f64 (.f64 D (pow.f64 (.f64 d (/.f64 l (.f64 #s(literal -1/4 binary64) (.f64 (*.f64 M (/.f64 D d)) M)))) #s(literal -1 binary64))) h #s(literal 1 binary64)))

Samples

127.0ms	238×	0	valid
8.0ms	18×	0	invalid

Compiler

Compiled 1 346 to 156 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 62.0ms (59.9% of total)

ival-div: 19.0ms (18.4% of total)

ival-add: 7.0ms (6.8% of total)

ival-sqrt: 7.0ms (6.8% of total)

ival-pow: 4.0ms (3.9% of total)

ival-pow2: 2.0ms (1.9% of total)

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

exact: 1.0ms (1% of total)

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

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

series201.0ms (1.9%)

Memory

7.0MiB live, 283.7MiB allocated

Counts

31 → 193

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
74.0ms	l	@	inf	((pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1) (* w0 (sqrt (+ (* (* D (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1)) h) 1))) (sqrt (+ (* (* D (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1)) h) 1)) (+ (* (* D (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1)) h) 1) (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (* (* D D) (/ (* (* (* M M) h) w0) l)) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (* (* D D) (/ (* (* M M) h) (* (* d d) l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (* (/ (* (* (* M M) h) D) d) (/ D (* l d)))) (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1))) (sqrt (+ (* (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1)) (+ (* (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1) (/ M d) (* M (/ D d)) (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) (/ l (* -1/4 (* (* M (/ D d)) M))) (* (* (* M M) h) w0) (* (* M M) h) (* (* D D) (/ (* (* M M) h) (* (* d d) l))) (/ (* (* M M) h) (* (* d d) l)) (* (* (* M M) h) D) (* (* D (* -2 d)) M) (* h (* (* D (* -2 d)) M)) (/ (* h (* (* D (* -2 d)) M)) l))
13.0ms	M	@	0	((pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1) (* w0 (sqrt (+ (* (* D (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1)) h) 1))) (sqrt (+ (* (* D (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1)) h) 1)) (+ (* (* D (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1)) h) 1) (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (* (* D D) (/ (* (* (* M M) h) w0) l)) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (* (* D D) (/ (* (* M M) h) (* (* d d) l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (* (/ (* (* (* M M) h) D) d) (/ D (* l d)))) (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1))) (sqrt (+ (* (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1)) (+ (* (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1) (/ M d) (* M (/ D d)) (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) (/ l (* -1/4 (* (* M (/ D d)) M))) (* (* (* M M) h) w0) (* (* M M) h) (* (* D D) (/ (* (* M M) h) (* (* d d) l))) (/ (* (* M M) h) (* (* d d) l)) (* (* (* M M) h) D) (* (* D (* -2 d)) M) (* h (* (* D (* -2 d)) M)) (/ (* h (* (* D (* -2 d)) M)) l))
9.0ms	M	@	inf	((pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1) (* w0 (sqrt (+ (* (* D (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1)) h) 1))) (sqrt (+ (* (* D (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1)) h) 1)) (+ (* (* D (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1)) h) 1) (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (* (* D D) (/ (* (* (* M M) h) w0) l)) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (* (* D D) (/ (* (* M M) h) (* (* d d) l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (* (/ (* (* (* M M) h) D) d) (/ D (* l d)))) (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1))) (sqrt (+ (* (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1)) (+ (* (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1) (/ M d) (* M (/ D d)) (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) (/ l (* -1/4 (* (* M (/ D d)) M))) (* (* (* M M) h) w0) (* (* M M) h) (* (* D D) (/ (* (* M M) h) (* (* d d) l))) (/ (* (* M M) h) (* (* d d) l)) (* (* (* M M) h) D) (* (* D (* -2 d)) M) (* h (* (* D (* -2 d)) M)) (/ (* h (* (* D (* -2 d)) M)) l))
9.0ms	D	@	0	((pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1) (* w0 (sqrt (+ (* (* D (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1)) h) 1))) (sqrt (+ (* (* D (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1)) h) 1)) (+ (* (* D (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1)) h) 1) (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (* (* D D) (/ (* (* (* M M) h) w0) l)) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (* (* D D) (/ (* (* M M) h) (* (* d d) l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (* (/ (* (* (* M M) h) D) d) (/ D (* l d)))) (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1))) (sqrt (+ (* (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1)) (+ (* (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1) (/ M d) (* M (/ D d)) (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) (/ l (* -1/4 (* (* M (/ D d)) M))) (* (* (* M M) h) w0) (* (* M M) h) (* (* D D) (/ (* (* M M) h) (* (* d d) l))) (/ (* (* M M) h) (* (* d d) l)) (* (* (* M M) h) D) (* (* D (* -2 d)) M) (* h (* (* D (* -2 d)) M)) (/ (* h (* (* D (* -2 d)) M)) l))
9.0ms	D	@	-inf	((pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1) (* w0 (sqrt (+ (* (* D (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1)) h) 1))) (sqrt (+ (* (* D (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1)) h) 1)) (+ (* (* D (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1)) h) 1) (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (* (* D D) (/ (* (* (* M M) h) w0) l)) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (* (* D D) (/ (* (* M M) h) (* (* d d) l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* -1/4 (* (/ (* (* (* M M) h) D) d) (/ D (* l d)))) (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1))) (sqrt (+ (* (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1)) (+ (* (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1) (/ M d) (* M (/ D d)) (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) (/ l (* -1/4 (* (* M (/ D d)) M))) (* (* (* M M) h) w0) (* (* M M) h) (* (* D D) (/ (* (* M M) h) (* (* d d) l))) (/ (* (* M M) h) (* (* d d) l)) (* (* (* M M) h) D) (* (* D (* -2 d)) M) (* h (* (* D (* -2 d)) M)) (/ (* h (* (* D (* -2 d)) M)) l))

simplify390.0ms (3.8%)

Memory

-139.2MiB live, 157.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1078	8228
0	4149	7944

Stop Event

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

Counts

193 → 192

Calls

Call 1

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

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

rewrite160.0ms (1.5%)

Memory

23.0MiB live, 176.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	78	560
0	125	560
1	415	551
2	2972	525
0	8467	525

Stop Event

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

Counts

31 → 812

Calls

Call 1

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

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

eval158.0ms (1.5%)

Memory: 16.6MiB live, 323.1MiB allocated
Compiler: Compiled 42 138 to 5 674 computations (86.5% saved)

prune105.0ms (1%)

Memory

5.2MiB live, 129.5MiB allocated

Pruning

49 alts after pruning (45 fresh and 4 done)

	Pruned	Kept	Total
New	959	21	980
Fresh	3	24	27
Picked	3	2	5
Done	0	2	2
Total	965	49	1 014

Accuracy

91.9%

Counts

1 014 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (/.f64 D d)) M)) D) (.f64 l d)) h #s(literal 1 binary64))))
✓	59.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 h (.f64 (.f64 D (*.f64 #s(literal -2 binary64) d)) M)) l)) #s(literal 1 binary64))))
✓	62.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 h l) D) (.f64 (*.f64 #s(literal -2 binary64) d) M))) #s(literal 1 binary64))))
	81.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 M d) (.f64 M (.f64 #s(literal 1/2 binary64) D)))) (.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	62.0%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 M d) #s(literal 1/2 binary64)) D) h) (.f64 (.f64 (*.f64 D d) #s(literal -2 binary64)) (/.f64 M l)) #s(literal 1 binary64))))
	80.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(approx (/ (* (* (* (/ D d) M) M) -1/4) l) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) D)) (.f64 l d))) (/.f64 D d)) h #s(literal 1 binary64))))
	86.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D (pow.f64 (.f64 d (/.f64 l (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 d (.f64 D M))) M)))) #s(literal -1 binary64))) h #s(literal 1 binary64))))
	85.8%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D (/.f64 #s(literal 1 binary64) (.f64 (/.f64 l (.f64 (.f64 (.f64 (/.f64 D d) M) M) #s(literal -1/4 binary64))) d))) h #s(literal 1 binary64))))
	74.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D #s(approx (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) D)) (.f64 (*.f64 d d) l)))) h #s(literal 1 binary64))))
	59.2%	(.f64 w0 (sqrt.f64 (fma.f64 (exp.f64 (.f64 (log.f64 (/.f64 d M)) #s(literal -1 binary64))) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 h (.f64 (.f64 D (.f64 #s(literal -2 binary64) d)) M)) l)) #s(literal 1 binary64))))
	73.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 D M) (.f64 (.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d) (/.f64 l h))))))
	82.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 D (.f64 (.f64 (/.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D)) d) (/.f64 d h))))))
	85.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
	22.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/4 binary64)) d) (.f64 l d)))))
	22.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 h (.f64 (*.f64 (/.f64 D d) M) M)) #s(literal -1/4 binary64)) (/.f64 D l)) d))))
	23.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 h (.f64 (.f64 (/.f64 D d) M) M)) #s(literal -1/4 binary64)) D) (.f64 l d)))))
	24.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (/.f64 D d) l) (.f64 (.f64 h (.f64 (*.f64 (/.f64 D d) M) M)) #s(literal -1/4 binary64))))))
	19.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 h M) M) (.f64 (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)) #s(literal -1/4 binary64))))))
	17.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 (.f64 (/.f64 D l) D) (.f64 d d)) #s(literal -1/4 binary64))))))
	20.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 (/.f64 D d) (/.f64 D (.f64 l d))) #s(literal -1/4 binary64))))))
	18.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D (/.f64 D (.f64 (*.f64 d d) l))) #s(literal -1/4 binary64))))))
	17.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (*.f64 d d) l))))))
	19.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 h D) D))) (.f64 (*.f64 d d) l))))))
	20.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 l d)))))))
	23.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 h M)) d) (/.f64 D (.f64 l d)))))))
	23.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 M (.f64 M (.f64 h D))) d) (/.f64 D (.f64 l d)))))))
✓	16.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) (.f64 (*.f64 d d) l)))))))
	16.1%	(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1) (neg.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
✓	66.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	68.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) D) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	51.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	53.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	74.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) w0) D) l) (/.f64 (/.f64 D d) d)) #s(literal -1/8 binary64) w0))
	76.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (.f64 l d))) #s(literal -1/8 binary64) w0))
	71.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) (*.f64 (/.f64 (/.f64 D d) d) D)) #s(literal -1/8 binary64) w0))
	62.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d))) #s(literal -1/8 binary64) w0))
	70.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) w0) (/.f64 (/.f64 D d) d)) (/.f64 D l)) #s(literal -1/8 binary64) w0))
	15.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
	26.4%	#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (.f64 D D)) (pow.f64 l #s(literal 3 binary64))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l)) #s(literal -1/8 binary64))) (.f64 D D) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) #s(literal -1/2 binary64))) (*.f64 D D) w0))
	59.9%	#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (/.f64 (.f64 D D) (/.f64 l (.f64 (.f64 (.f64 M M) h) w0))) #s(literal -1/2 binary64) w0))
	64.0%	#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (/.f64 w0 l)) #s(literal -1/2 binary64) w0))
	73.7%	#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l) D) D) #s(literal -1/2 binary64) w0))
	51.6%	#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 l) (*.f64 D D))) #s(literal -1/2 binary64) w0))
	60.7%	#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 M (.f64 (*.f64 h M) w0)) l)) #s(literal -1/2 binary64) w0))
	59.9%	#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 D) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/2 binary64) w0))
	18.2%	#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (/.f64 w0 l)) #s(literal 3 binary64)) (pow.f64 w0 #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (/.f64 w0 l)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 w0 (-.f64 w0 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (/.f64 w0 l))))))))
	51.1%	#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 D D)) (.f64 (.f64 (.f64 M M) h) w0) (.f64 w0 l)) l)))
	43.9%	#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) #s(literal -1/2 binary64) (/.f64 w0 (.f64 D D))) (.f64 D D))))
	16.6%	#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l)) #s(literal -1/2 binary64))))

Compiler

Compiled 4 592 to 1 966 computations (57.2% saved)

regimes324.0ms (3.1%)

Memory

-3.0MiB live, 430.6MiB allocated

Counts

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

Outputs

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

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

Calls

15 calls:

35.0ms	(-.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)))
25.0ms	(*.f64 #s(literal 2 binary64) d)
24.0ms	M
22.0ms	(.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)))))
22.0ms	d

Results

Accuracy	Segments	Branch
86.5%	1	`w0`
89.2%	2	`M`
88.4%	2	`D`
89.9%	3	`h`
86.5%	1	`l`
89.5%	2	`d`
89.8%	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)))))`
89.8%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
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))`
89.9%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
89.9%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.4%	2	`(*.f64 M D)`
89.5%	2	`(*.f64 #s(literal 2 binary64) d)`
90.3%	3	`(/.f64 h l)`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes254.0ms (2.5%)

Memory

1.3MiB live, 396.4MiB 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 (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l)) #s(literal -1/2 binary64))))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 M (.f64 (*.f64 h M) w0)) l)) #s(literal -1/2 binary64) w0))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/2 binary64) w0))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 l) (*.f64 D D))) #s(literal -1/2 binary64) w0))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l) D) D) #s(literal -1/2 binary64) w0))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 D D)) (.f64 (.f64 (.f64 M M) h) w0) (.f64 w0 l)) l)))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (/.f64 (.f64 D D) (/.f64 l (.f64 (.f64 (.f64 M M) h) w0))) #s(literal -1/2 binary64) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1) (neg.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1) (neg.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) D) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D M) (.f64 (.f64 (/.f64 h l) D) (.f64 (.f64 #s(literal -2 binary64) d) M)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) #s(literal -1/2 binary64) (/.f64 w0 (.f64 D D))) (.f64 D D))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (.f64 l d))) #s(literal -1/8 binary64) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) (.f64 (*.f64 d d) l)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D (.f64 (*.f64 d d) l)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 h D) D))) (.f64 (*.f64 d d) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (*.f64 d d) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D (/.f64 D (.f64 (*.f64 d d) l))) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D #s(approx (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) D)) (.f64 (*.f64 d d) l)))) h #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) w0) (/.f64 (/.f64 D d) d)) (/.f64 D l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) (*.f64 (/.f64 (/.f64 D d) d) D)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) w0) D) l) (/.f64 (/.f64 D d) d)) #s(literal -1/8 binary64) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 (.f64 M h) (.f64 (/.f64 D (.f64 d d)) (/.f64 D l))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 (.f64 D D) h) (.f64 l d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 M (.f64 M (.f64 h D))) d) (/.f64 D (.f64 l d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 h M)) d) (/.f64 D (.f64 l d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 l d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) (/.f64 D (.f64 l d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 (/.f64 D d) (/.f64 D (.f64 l d))) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 (.f64 (/.f64 D l) D) (.f64 d d)) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 h M) M) (.f64 (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 h (.f64 (.f64 (/.f64 D d) M) M)) #s(literal -1/4 binary64)) D) (.f64 l d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(approx (/ (* (* (* (/ D d) M) M) -1/4) l) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) D)) (.f64 l d))) (/.f64 D d)) h #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (/.f64 D d)) M)) D) (.f64 l d)) h #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 M) D) (.f64 (.f64 #s(literal -2 binary64) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (.f64 #s(literal -2 binary64) d) M))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 D (/.f64 (neg.f64 h) (.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 M (.f64 (.f64 h M) (.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 D d) d)) (/.f64 D l)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 h d) (.f64 (/.f64 M d) M)) (.f64 (/.f64 (*.f64 D D) l) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (/.f64 D d) l) (.f64 (.f64 h (.f64 (*.f64 (/.f64 D d) M) M)) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) h)) h))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 h (.f64 (*.f64 (/.f64 D d) M) M)) #s(literal -1/4 binary64)) (/.f64 D l)) d))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) D) h)) (.f64 l d))) (.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 M d) #s(literal 1/2 binary64)) D) h) (.f64 (.f64 (*.f64 D d) #s(literal -2 binary64)) (/.f64 M l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 h l) D) (.f64 (*.f64 #s(literal -2 binary64) d) M))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 h (.f64 (.f64 D (*.f64 #s(literal -2 binary64) d)) M)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 (/.f64 D d) M) M) #s(literal -1/4 binary64)) l) (/.f64 D d)) h #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 D (.f64 (.f64 (/.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D)) d) (/.f64 d h))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 D M) (.f64 (.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d) (/.f64 l h))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 D M)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D (/.f64 #s(literal 1 binary64) (.f64 (/.f64 l (.f64 (.f64 (.f64 (/.f64 D d) M) M) #s(literal -1/4 binary64))) d))) h #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) M))) (.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 M d) (.f64 M (.f64 #s(literal 1/2 binary64) D)))) (.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) M) D)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))

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

Calls

15 calls:

26.0ms	(/.f64 h l)
17.0ms	l
17.0ms	D
17.0ms	d
17.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Results

Accuracy	Segments	Branch
85.8%	1	`l`
85.8%	1	`w0`
85.8%	1	`D`
85.8%	1	`h`
85.8%	1	`(*.f64 M D)`
85.8%	1	`(/.f64 h l)`
85.8%	1	`M`
85.8%	1	`d`
85.8%	1	`(*.f64 #s(literal 2 binary64) d)`
85.8%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
85.8%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
85.8%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
85.8%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
85.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
85.8%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes315.0ms (3%)

Memory

-10.3MiB live, 304.8MiB 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 (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l)) #s(literal -1/2 binary64))))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 M (.f64 (*.f64 h M) w0)) l)) #s(literal -1/2 binary64) w0))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/2 binary64) w0))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 l) (*.f64 D D))) #s(literal -1/2 binary64) w0))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l) D) D) #s(literal -1/2 binary64) w0))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 D D)) (.f64 (.f64 (.f64 M M) h) w0) (.f64 w0 l)) l)))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (/.f64 (.f64 D D) (/.f64 l (.f64 (.f64 (.f64 M M) h) w0))) #s(literal -1/2 binary64) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1) (neg.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1) (neg.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) D) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D M) (.f64 (.f64 (/.f64 h l) D) (.f64 (.f64 #s(literal -2 binary64) d) M)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) #s(literal -1/2 binary64) (/.f64 w0 (.f64 D D))) (.f64 D D))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (.f64 l d))) #s(literal -1/8 binary64) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) (.f64 (*.f64 d d) l)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D (.f64 (*.f64 d d) l)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 h D) D))) (.f64 (*.f64 d d) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (*.f64 d d) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D (/.f64 D (.f64 (*.f64 d d) l))) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D #s(approx (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) D)) (.f64 (*.f64 d d) l)))) h #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) w0) (/.f64 (/.f64 D d) d)) (/.f64 D l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) (*.f64 (/.f64 (/.f64 D d) d) D)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) w0) D) l) (/.f64 (/.f64 D d) d)) #s(literal -1/8 binary64) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 (.f64 M h) (.f64 (/.f64 D (.f64 d d)) (/.f64 D l))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 (.f64 D D) h) (.f64 l d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 M (.f64 M (.f64 h D))) d) (/.f64 D (.f64 l d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 h M)) d) (/.f64 D (.f64 l d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 l d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) (/.f64 D (.f64 l d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 (/.f64 D d) (/.f64 D (.f64 l d))) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 (.f64 (/.f64 D l) D) (.f64 d d)) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 h M) M) (.f64 (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 h (.f64 (.f64 (/.f64 D d) M) M)) #s(literal -1/4 binary64)) D) (.f64 l d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(approx (/ (* (* (* (/ D d) M) M) -1/4) l) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) D)) (.f64 l d))) (/.f64 D d)) h #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (/.f64 D d)) M)) D) (.f64 l d)) h #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 M) D) (.f64 (.f64 #s(literal -2 binary64) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (.f64 #s(literal -2 binary64) d) M))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 D (/.f64 (neg.f64 h) (.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 M (.f64 (.f64 h M) (.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 D d) d)) (/.f64 D l)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 h d) (.f64 (/.f64 M d) M)) (.f64 (/.f64 (*.f64 D D) l) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (/.f64 D d) l) (.f64 (.f64 h (.f64 (*.f64 (/.f64 D d) M) M)) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) h)) h))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 h (.f64 (*.f64 (/.f64 D d) M) M)) #s(literal -1/4 binary64)) (/.f64 D l)) d))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) D) h)) (.f64 l d))) (.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 M d) #s(literal 1/2 binary64)) D) h) (.f64 (.f64 (*.f64 D d) #s(literal -2 binary64)) (/.f64 M l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 h l) D) (.f64 (*.f64 #s(literal -2 binary64) d) M))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 h (.f64 (.f64 D (*.f64 #s(literal -2 binary64) d)) M)) l)) #s(literal 1 binary64))))

Outputs

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

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

Calls

15 calls:

67.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
47.0ms	(*.f64 M D)
37.0ms	h
16.0ms	(*.f64 #s(literal 2 binary64) d)
15.0ms	D

Results

Accuracy	Segments	Branch
84.6%	2	`(*.f64 M D)`
82.6%	1	`w0`
84.5%	2	`M`
82.6%	1	`h`
86.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
84.9%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
84.7%	2	`(/.f64 h l)`
82.6%	1	`D`
82.6%	1	`l`
82.6%	1	`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)))))`
86.6%	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))))`
86.9%	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)))`
84.9%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
82.6%	1	`(*.f64 #s(literal 2 binary64) d)`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes13.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
85.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes67.0ms (0.6%)

Memory

-5.9MiB live, 34.5MiB 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 (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l)) #s(literal -1/2 binary64))))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 M (.f64 (*.f64 h M) w0)) l)) #s(literal -1/2 binary64) w0))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/2 binary64) w0))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 l) (*.f64 D D))) #s(literal -1/2 binary64) w0))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l) D) D) #s(literal -1/2 binary64) w0))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 D D)) (.f64 (.f64 (.f64 M M) h) w0) (.f64 w0 l)) l)))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (/.f64 (.f64 D D) (/.f64 l (.f64 (.f64 (.f64 M M) h) w0))) #s(literal -1/2 binary64) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1) (neg.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1) (neg.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) D) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D M) (.f64 (.f64 (/.f64 h l) D) (.f64 (.f64 #s(literal -2 binary64) d) M)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) #s(literal -1/2 binary64) (/.f64 w0 (.f64 D D))) (.f64 D D))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (.f64 l d))) #s(literal -1/8 binary64) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) (.f64 (*.f64 d d) l)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D (.f64 (*.f64 d d) l)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 h D) D))) (.f64 (*.f64 d d) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (*.f64 d d) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D (/.f64 D (.f64 (*.f64 d d) l))) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D #s(approx (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) D)) (.f64 (*.f64 d d) l)))) h #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) w0) (/.f64 (/.f64 D d) d)) (/.f64 D l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) (*.f64 (/.f64 (/.f64 D d) d) D)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) w0) D) l) (/.f64 (/.f64 D d) d)) #s(literal -1/8 binary64) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 (.f64 M h) (.f64 (/.f64 D (.f64 d d)) (/.f64 D l))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 (.f64 D D) h) (.f64 l d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 M (.f64 M (.f64 h D))) d) (/.f64 D (.f64 l d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 h M)) d) (/.f64 D (.f64 l d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 l d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) (/.f64 D (.f64 l d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 (/.f64 D d) (/.f64 D (.f64 l d))) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 (.f64 (/.f64 D l) D) (.f64 d d)) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 h M) M) (.f64 (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 h (.f64 (.f64 (/.f64 D d) M) M)) #s(literal -1/4 binary64)) D) (.f64 l d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(approx (/ (* (* (* (/ D d) M) M) -1/4) l) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) D)) (.f64 l d))) (/.f64 D d)) h #s(literal 1 binary64))))

Outputs

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

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

Calls

3 calls:

47.0ms

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

9.0ms

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

Results

Accuracy	Segments	Branch
85.1%	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))))`
85.1%	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)))`
85.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 44 to 44 computations (0% saved)

regimes11.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
85.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes237.0ms (2.3%)

Memory

-17.4MiB live, 139.5MiB allocated

Counts

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

Outputs

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

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

Calls

15 calls:

55.0ms	(-.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)))
44.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
26.0ms	M
19.0ms	h
9.0ms	w0

Results

Accuracy	Segments	Branch
80.5%	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))))`
80.9%	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)))`
81.0%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
76.3%	1	`w0`
80.2%	2	`D`
76.3%	1	`h`
80.2%	2	`d`
80.2%	2	`(*.f64 #s(literal 2 binary64) d)`
76.3%	1	`l`
82.2%	3	`M`
82.3%	3	`(*.f64 M D)`
79.3%	2	`(/.f64 h l)`
79.3%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
81.0%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
82.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes8.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB 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 (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l)) #s(literal -1/2 binary64))))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 M (.f64 (*.f64 h M) w0)) l)) #s(literal -1/2 binary64) w0))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/2 binary64) w0))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 w0 l) (*.f64 D D))) #s(literal -1/2 binary64) w0))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l) D) D) #s(literal -1/2 binary64) w0))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 D D)) (.f64 (.f64 (.f64 M M) h) w0) (.f64 w0 l)) l)))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (/.f64 (.f64 D D) (/.f64 l (.f64 (.f64 (.f64 M M) h) w0))) #s(literal -1/2 binary64) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1) (neg.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ M d) (* (* D 1/2) (/ (* h (* (* D (* -2 d)) M)) l))) 1) (neg.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) D) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D M) (.f64 (.f64 (/.f64 h l) D) (.f64 (.f64 #s(literal -2 binary64) d) M)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) #s(literal -1/2 binary64) (/.f64 w0 (.f64 D D))) (.f64 D D))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (.f64 l d))) #s(literal -1/8 binary64) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) (.f64 (*.f64 d d) l)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D (.f64 (*.f64 d d) l)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 h D) D))) (.f64 (*.f64 d d) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (*.f64 d d) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D (/.f64 D (.f64 (*.f64 d d) l))) #s(literal -1/4 binary64))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D #s(approx (pow (* d (/ l (* -1/4 (* (* M (/ D d)) M)))) -1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) D)) (.f64 (*.f64 d d) l)))) h #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) w0) (/.f64 (/.f64 D d) d)) (/.f64 D l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) (*.f64 (/.f64 (/.f64 D d) d) D)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) w0) D) l) (/.f64 (/.f64 D d) d)) #s(literal -1/8 binary64) w0))

Outputs

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

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

Calls

1 calls:

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
81.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
81.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes28.0ms (0.3%)

Memory

-30.5MiB live, 8.2MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
82.6%	3	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
80.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes14.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB 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 (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l)) #s(literal -1/2 binary64))))

Outputs

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
76.9%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
79.4%	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)))))`
66.2%	1	`d`
66.2%	1	`(*.f64 #s(literal 2 binary64) d)`
66.2%	1	`D`
79.4%	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))))`
73.0%	2	`M`
74.3%	2	`(*.f64 M D)`
79.4%	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)))`
79.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 78 to 104 computations (-33.3% saved)

regimes39.0ms (0.4%)

Memory

-13.9MiB live, 25.1MiB 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

12 calls:

27.0ms	w0
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	h
1.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
1.0ms	l

Results

Accuracy	Segments	Branch
66.2%	1	`M`
66.2%	1	`(*.f64 M D)`
66.2%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
66.2%	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)))))`
66.2%	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))))`
66.2%	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)))`
66.2%	1	`h`
66.2%	1	`w0`
66.2%	1	`l`
66.2%	1	`(/.f64 h l)`
66.2%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
66.2%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 88 to 120 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-169.32515611228843	-1.233785469595588e-12

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.233785469595588e-12	-1.4119723089646532e-22

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-169.32515611228843	-1.233785469595588e-12

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-169.32515611228843	-1.233785469595588e-12

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.0986935258608816e+72	-5.2574265982803953e+67

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6735153483864429e+56	-169.32515611228843

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.0986935258608816e+72	-5.2574265982803953e+67

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.6735153483864429e+56	-169.32515611228843
0.0ms	-inf	-1.635883175346676e+307

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.703291792493501e+105	-5.905064786642728e+103

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.687872649444578e+158	-1.5398106469648617e+109

Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify66.0ms (0.6%)

Memory

-1.4MiB live, 37.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	892
1	266	892
2	631	892
3	3744	892

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal +inf.0 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 D (.f64 (.f64 (/.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D)) d) (/.f64 d h)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 (/.f64 D d) M) M) #s(literal -1/4 binary64)) l) (/.f64 D 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 -100 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (/.f64 D d) l) (.f64 (.f64 h (.f64 (.f64 (/.f64 D d) M) M)) #s(literal -1/4 binary64)))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (/.f64 D d)) M)) D) (.f64 l d)) h #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -100 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 h (.f64 (.f64 (/.f64 D d) M) M)) #s(literal -1/4 binary64)) D) (.f64 l d))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -100 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 M (.f64 M (.f64 h D))) d) (/.f64 D (.f64 l d))))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1999999999999999887603621897589142048114448258041101063088247784112914432 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 (.f64 M h) (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)))))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -100000000000000009190283508143378238084034459715684532224 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 h D) D))) (.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 -1999999999999999887603621897589142048114448258041101063088247784112914432 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (.f64 (.f64 d d) l)))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) #s(approx ( w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 M (.f64 (.f64 h M) w0)) l)) #s(literal -1/2 binary64) w0)) (if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -100000000000000009190283508143378238084034459715684532224 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D (.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 -5000000000000000455179995251842175052302269975877432785772728687420451447675667076077090048770806095282176 binary64)) #s(approx ( w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 M (.f64 (.f64 h M) w0)) l)) #s(literal -1/2 binary64) w0)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -499999999999999964242346993584210386152866735029734534064965443963886203152447061808370140252373100286990835215709149761850866864844390324709531441418347741184 binary64)) #s(approx ( w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l)) #s(literal -1/2 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal +inf.0 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 D (.f64 (.f64 (/.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D)) d) (/.f64 d h)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 (/.f64 D d) M) M) #s(literal -1/4 binary64)) l) (/.f64 D 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 -100 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (/.f64 D d) l) (.f64 (.f64 h (.f64 (.f64 (/.f64 D d) M) M)) #s(literal -1/4 binary64)))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (/.f64 D d)) M)) D) (.f64 l d)) h #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -100 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 h (.f64 (.f64 (/.f64 D d) M) M)) #s(literal -1/4 binary64)) D) (.f64 l d))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -100 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 M (.f64 M (.f64 h D))) d) (/.f64 D (.f64 l d))))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1999999999999999887603621897589142048114448258041101063088247784112914432 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 (.f64 M h) (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)))))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -100000000000000009190283508143378238084034459715684532224 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 h D) D))) (.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 -1999999999999999887603621897589142048114448258041101063088247784112914432 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (.f64 (.f64 d d) l)))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) #s(approx ( w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 M (.f64 (.f64 h M) w0)) l)) #s(literal -1/2 binary64) w0)) (if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -100000000000000009190283508143378238084034459715684532224 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D (.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 -5000000000000000455179995251842175052302269975877432785772728687420451447675667076077090048770806095282176 binary64)) #s(approx ( w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 M (.f64 (.f64 h M) w0)) l)) #s(literal -1/2 binary64) w0)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -499999999999999964242346993584210386152866735029734534064965443963886203152447061808370140252373100286990835215709149761850866864844390324709531441418347741184 binary64)) #s(approx ( w0 (sqrt (+ (* (/ M d) (* (* D 1/2) (* (* (/ h l) D) (* (* -2 d) M)))) 1))) #s(approx (+ (* (* (* D D) (/ (* (* (* M M) h) w0) l)) -1/2) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l)) #s(literal -1/2 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

soundness1.2s (12%)

Memory

41.2MiB live, 813.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	540
0	113	540
1	367	540
2	2759	514
0	8287	514
0	626	4390
0	2419	4249
0	78	560
0	125	560
1	415	551
2	2972	525
0	8467	525
0	58	448
0	96	454
1	331	438
2	2778	398
0	8670	398
0	1074	8271
0	4131	7986
0	1078	8228
0	4149	7944
0	17	69
0	26	69
1	85	69
2	575	69
0	8263	66

Stop Event

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

Compiler

Compiled 1 801 to 974 computations (45.9% saved)

preprocess145.0ms (1.4%)

Memory

-16.5MiB live, 256.1MiB allocated

Remove

(negabs w0)

(abs d)

Compiler

Compiled 2 812 to 1 002 computations (64.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze469.0ms (4.5%)

sample2.4s (23%)

explain287.0ms (2.8%)

preprocess160.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify121.0ms (1.2%)

localize103.0ms (1%)

series89.0ms (0.9%)

simplify104.0ms (1%)

rewrite180.0ms (1.7%)

eval167.0ms (1.6%)

prune56.0ms (0.5%)

simplify151.0ms (1.5%)

localize181.0ms (1.8%)

series95.0ms (0.9%)

simplify83.0ms (0.8%)

rewrite157.0ms (1.5%)

eval103.0ms (1%)

prune33.0ms (0.3%)

simplify129.0ms (1.2%)

localize174.0ms (1.7%)

series189.0ms (1.8%)

simplify256.0ms (2.5%)

rewrite193.0ms (1.9%)

eval318.0ms (3.1%)

prune45.0ms (0.4%)

simplify135.0ms (1.3%)

localize200.0ms (1.9%)

series201.0ms (1.9%)

simplify390.0ms (3.8%)

rewrite160.0ms (1.5%)

eval158.0ms (1.5%)

prune105.0ms (1%)

regimes324.0ms (3.1%)

regimes254.0ms (2.5%)

regimes315.0ms (3%)

regimes13.0ms (0.1%)

regimes67.0ms (0.6%)

regimes11.0ms (0.1%)

regimes237.0ms (2.3%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes28.0ms (0.3%)

regimes6.0ms (0.1%)

regimes14.0ms (0.1%)

regimes39.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify66.0ms (0.6%)

soundness1.2s (12%)

preprocess145.0ms (1.4%)

end0.0ms (0%)

Profiling