Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze709.0ms (6.2%)

Memory

-27.6MiB live, 738.3MiB allocated; 126ms collecting garbage

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)

sample2.6s (22.5%)

Memory

-52.6MiB live, 2 291.5MiB allocated; 1.3s collecting garbage

Samples

1.6s	8 256×	0	valid
346.0ms	2 652×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-sub: 679.0ms (46.7% of total)

ival-mult: 364.0ms (25% of total)

ival-div: 163.0ms (11.2% of total)

ival-pow2: 148.0ms (10.2% of total)

ival-sqrt: 72.0ms (4.9% of total)

exact: 12.0ms (0.8% of total)

ival-true: 9.0ms (0.6% of total)

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

adjust: 4.0ms (0.3% of total)

Bogosity

explain186.0ms (1.6%)

Memory

-24.8MiB live, 361.4MiB allocated; 25ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
39	-	3	(1.072452381584568e+30 1.6141336323313899e-283 4.785781143594658e+276 -1.4044644547628774e-107 -3.3451004330802457e-302 -9.787404739134427e+153)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
30	-	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))))`
23	-	2	(2.251207925912563e+223 3.6116202459411786e-189 -3.9037000441390815e-130 -4.163949902896562e-137 -4.8018606851423856e-163 -9.237325228132599e-241)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
6	-	0	-	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`w0`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`M`
0	-	0	-	`h`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	oflow-rescue	30	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	56
↳	`(-.f64 #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	62
↳	`(sqrt.f64 (-.f64 #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	32
↳	`(*.f64 M D)`	overflow	25
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	28
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	62
↳	`(/.f64 h l)`	overflow	20
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	8	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	8	0
↳	`(*.f64 M D)`	overflow	25
`*.f64`	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`	*no**	6	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	56
↳	`(*.f64 M D)`	overflow	25
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	28
↳	`(/.f64 h l)`	underflow	37
`*.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	95
↳	`(*.f64 M D)`	underflow	34
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	46
↳	`(/.f64 h l)`	overflow	20

Confusion

	Predicted +	Predicted -
+	41	8
-	11	196

Precision

0.7884615384615384

Recall

0.8367346938775511

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	41	0	8
-	11	0	196

Precision?

0.7884615384615384

Recall?

0.8367346938775511

Freqs

test

number	freq
0	204
1	47
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms

512×

valid

Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 19.0ms (48% of total)

ival-div: 8.0ms (20.2% of total)

ival-pow2: 6.0ms (15.1% of total)

ival-sqrt: 3.0ms (7.6% of total)

ival-sub: 2.0ms (5% of total)

exact: 1.0ms (2.5% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess145.0ms (1.3%)

Memory

18.8MiB live, 208.3MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	501
1	461	492
2	1413	492
3	4009	492
0	17	18
0	26	18
1	47	18
2	112	18
3	816	18
4	4616	18
5	6521	18
0	8357	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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 6 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify99.0ms (0.9%)

Memory

-7.7MiB live, 131.2MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	26	95
1	47	95
2	112	95
3	816	95
4	4616	95
5	6521	95
0	8357	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

localize48.0ms (0.4%)

Memory

-12.5MiB live, 86.0MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.4488360424144575	(.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	5.334169513130224	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	7.018279358970011	(sqrt.f64 (-.f64 #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	9.03981195452663	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

31.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (35.4% of total)

ival-div: 4.0ms (23.6% of total)

ival-pow2: 4.0ms (23.6% of total)

ival-sqrt: 2.0ms (11.8% of total)

ival-sub: 1.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series65.0ms (0.6%)

Memory

31.5MiB live, 124.4MiB allocated; 9ms collecting garbage

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
8.0ms	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)))
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	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)))
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	M	@	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)))

simplify196.0ms (1.7%)

Memory

-16.2MiB live, 299.9MiB allocated; 50ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	626	4390
1	2407	4334
0	9499	4188

Stop Event

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

rewrite158.0ms (1.4%)

Memory

26.2MiB live, 171.9MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
0	26	69
1	75	69
2	410	69
3	7218	69
0	8457	66

Stop Event

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

Counts

5 → 339

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 (/.f64 M #s(literal 2 binary64)) D) #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 (/.f64 M #s(literal 2 binary64)) D) #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 (/.f64 M #s(literal 2 binary64)) D) #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 (/.f64 M #s(literal 2 binary64)) D) #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 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))))
(/.f64 (.f64 (cosh.f64 (asinh.f64 (.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #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 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
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(.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #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 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #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 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #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 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #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 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
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(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #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 (/.f64 M #s(literal 2 binary64)) D) #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 (/.f64 M #s(literal 2 binary64)) D) #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 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #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) (pow.f64 (.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 2 binary64)))) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal -1 binary64)))
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(/.f64 (.f64 D M) (.f64 #s(literal -2 binary64) d))
(neg.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))
(fabs.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 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)))))

eval76.0ms (0.7%)

Memory: -7.0MiB live, 133.5MiB allocated; 30ms collecting garbage
Compiler: Compiled 15 345 to 2 438 computations (84.1% saved)

prune18.0ms (0.2%)

Memory

-0.9MiB live, 46.5MiB allocated; 4ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	413	13	426
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	413	14	427

Accuracy

88.9%

Counts

427 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.0%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
	66.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (.f64 (*.f64 d d) l)))))
	71.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)))))
	78.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
▶	79.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
▶	69.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h) (.f64 (*.f64 #s(literal -2 binary64) d) l)))))
✓	81.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
	78.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))))
▶	65.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	65.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))))
	15.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
	53.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
▶	66.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	52.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))

Compiler

Compiled 738 to 607 computations (17.8% saved)

simplify146.0ms (1.3%)

Memory

48.7MiB live, 213.4MiB allocated; 55ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h) (.f64 (.f64 #s(literal -2 binary64) d) l))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h) (.f64 (.f64 #s(literal -2 binary64) d) l))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h) (.f64 (*.f64 #s(literal -2 binary64) d) l)))))
cost-diff	2	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h) (.f64 (.f64 #s(literal -2 binary64) d) l)))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
cost-diff	1	(.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
cost-diff	2	(fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
cost-diff	2	(.f64 (.f64 (*.f64 M M) D) D)
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 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
cost-diff	3	(.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D))
cost-diff	4	(/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	579
0	108	581
1	219	550
2	840	526
3	6839	526
0	8725	520

Stop Event

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

Calls

Call 1

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

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

localize380.0ms (3.3%)

Memory

-38.9MiB live, 494.6MiB allocated; 187ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.998959004840228	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h) (.f64 (*.f64 #s(literal -2 binary64) d) l)))))
accuracy	3.041946446604394	(.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h)
accuracy	8.139216668481382	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h) (.f64 (.f64 #s(literal -2 binary64) d) l))))
accuracy	10.499509946426915	(/.f64 (.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h) (.f64 (.f64 #s(literal -2 binary64) d) l))
accuracy	1.928330962538141	(fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))
accuracy	5.184399358721931	(.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))
accuracy	7.02553928157371	(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))
accuracy	9.016652837042315	(.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
accuracy	5.906732013921956	(.f64 (.f64 M M) D)
accuracy	6.190451838745431	(.f64 (.f64 d d) l)
accuracy	7.018279358970011	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
accuracy	13.98969357863239	(/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l))
accuracy	1.4488360424144575	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	21.537587789020996	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	4.244331593888705	(/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))
accuracy	5.604931814377591	(*.f64 (/.f64 h l) D)
accuracy	6.817775291901714	(.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))
accuracy	7.018279358970011	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))

Samples

275.0ms	247×	0	valid
4.0ms	9×	0	invalid

Compiler

Compiled 524 to 62 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-mult: 117.0ms (67% of total)

ival-div: 28.0ms (16% of total)

ival-neg: 10.0ms (5.7% of total)

ival-sqrt: 7.0ms (4% of total)

ival-pow2: 5.0ms (2.9% of total)

ival-sub: 4.0ms (2.3% of total)

ival-add: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

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

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

series172.0ms (1.5%)

Memory

38.3MiB live, 369.6MiB allocated; 22ms collecting garbage

Counts

25 → 271

Calls

Call 1

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

Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d 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)))))))))
(* (pow D 2) (pow M 2))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* d l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* D (pow M 2))
(* 1/2 (/ (* D (pow M 2)) d))
(* -1 (* (pow D 2) (* (pow M 2) h)))
(* (/ (* 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)))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/2 (/ (* (pow D 2) h) (* d l)))))
(* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h (* d l))))
(* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))
(* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l))))
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d 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))))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))))
(* -1 (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))))
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 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) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(/ (* 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 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/2 (/ (* (pow M 2) h) (* d l)))))
(* D (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))
(* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d 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))))))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* -1 (* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* -1 (* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))))
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d 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)))))))
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(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
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(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 2) (pow l 2)))))))
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(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 2) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 3) (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)))))
(* h (+ (* -1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))))
(* h (- (/ 1 h) (* 1/2 (/ (* (pow D 2) (pow M 2)) (* d l)))))
(* h (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l)))))))
(* h (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l))))))))
(* h (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l)))))))))
(* h (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* 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 (* h (- (* 1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))))
(* -1 (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))))
(* h (+ (* -1/2 (/ (* (pow D 2) (pow M 2)) (* d l))) (/ 1 h)))
(* -1 (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ h (* d l)))))
(* -1 (* h (+ (* 1/2 (* (/ (* w0 (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ 1 (* d (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* w0 (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (* w0 (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* w0 (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (* w0 (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (* w0 (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ 1 (* d (* h l))))))))))
(* -1 (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ h (* d l)))))
(* -1 (* h (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 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)
(/ (+ l (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (- l (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)
(/ (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(* (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 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 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 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) d))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) d))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) 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))
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (- d (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)
(/ (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l))) d)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l))) d)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))

Calls

18 calls:

Time	Variable		Point	Expression
22.0ms	l	@	-inf	((/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)) (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) 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))) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1)) (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))) (* w0 (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))))) (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)))) (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (/ D 2) (* (/ M d) M)) (* (neg (pow (* D M) 2)) h))
15.0ms	M	@	0	((/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)) (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) 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))) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1)) (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))) (* w0 (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))))) (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)))) (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (/ D 2) (* (/ M d) M)) (* (neg (pow (* D M) 2)) h))
13.0ms	D	@	inf	((/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)) (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) 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))) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1)) (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))) (* w0 (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))))) (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)))) (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (/ D 2) (* (/ M d) M)) (* (neg (pow (* D M) 2)) h))
11.0ms	l	@	0	((/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)) (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) 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))) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1)) (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))) (* w0 (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))))) (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)))) (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (/ D 2) (* (/ M d) M)) (* (neg (pow (* D M) 2)) h))
10.0ms	h	@	0	((/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)) (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) 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))) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1)) (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))) (* w0 (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))))) (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)))) (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (/ D 2) (* (/ M d) M)) (* (neg (pow (* D M) 2)) h))

simplify302.0ms (2.7%)

Memory

-26.1MiB live, 317.2MiB allocated; 182ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1607	13524
1	6309	13364
0	8031	12923

Stop Event

1×	iter limit
1×	node limit

Counts

271 → 270

Calls

Call 1

Inputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d 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)))))))))
(* (pow D 2) (pow M 2))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* d l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* D (pow M 2))
(* 1/2 (/ (* D (pow M 2)) d))
(* -1 (* (pow D 2) (* (pow M 2) h)))
(* (/ (* 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)))
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(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
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(* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h (* d l))))
(* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))
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(* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l))))
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))
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(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (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))))
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))))
(* -1 (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))))
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d 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) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(/ (* 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 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/2 (/ (* (pow M 2) h) (* d l)))))
(* D (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))
(* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d 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))))))))
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(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (- l (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)
(/ (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(* (pow d 2) l)
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+ 1 (+ (* -1/8 (/ (* (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)))))))
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(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
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(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))
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(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (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 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
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(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) d))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) 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))
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (- d (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)
(/ (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
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(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l))) d)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))

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 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (*.f64 M M) h) l)) #s(literal -1/2 binary64) #s(literal 1 binary64))) w0)
(* 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 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (*.f64 M M) h) l)) #s(literal -1/2 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)))))))))
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1
#s(literal 1 binary64)
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(fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 M h) (.f64 M h)) (.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)))))))))
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(* (pow D 2) (pow M 2))
(.f64 (.f64 M D) (*.f64 M D))
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(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))
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(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) h) D)) (*.f64 d l))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
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(* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h (* d l))))
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(* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))
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(* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
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(* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
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(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l))))
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(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))
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(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
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(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* -1 (* (/ (* D (* M (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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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
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(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))))
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(* -1 (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h (* d l)))))
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(* -1 (* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
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(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))))
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(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
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(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
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(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d 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)))))))))
(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)))))))))
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(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (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 -1/32 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))) (*.f64 D D) w0)
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (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 -1/128 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 -1/32 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))) (*.f64 D D) w0)
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (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 -1/32 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D) #s(literal 1 binary64))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (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 -1/128 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 -1/32 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (.f64 D D) #s(literal 1 binary64))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 d l))) (*.f64 D D) w0)
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 d d)) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/32 binary64) (.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 (.f64 d l) #s(literal 3 binary64))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 d l))) (.f64 D D) w0)
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 d l))) (*.f64 D D) #s(literal 1 binary64))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 d d)) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/32 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (.f64 D D)) (pow.f64 (.f64 d l) #s(literal 3 binary64))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 d l))) (*.f64 D D) #s(literal 1 binary64))
(/ (* 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)))))
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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)))))
(.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)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 D D)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (.f64 D D))
(* (pow D 2) (+ (* -1/2 (/ (* (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 -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 D D))) (*.f64 D D))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 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 -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) 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 -1/2 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 -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 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 -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) 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 -1/2 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 -1/2 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 -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) 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 -1/2 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 -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) 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 -1/2 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 -1/2 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 -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/2 (/ (* (pow M 2) h) (* d l)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 D D)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 M M) h)) (.f64 d l))) (*.f64 D D))
(* D (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 w0 (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (.f64 d (/.f64 l h)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 d l))) (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M))) D)
(* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d 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 -1/2 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (.f64 d (/.f64 l h)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 w0 (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (.f64 d (/.f64 l h)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 d l))) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M)))) D)
(* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d 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 -1/2 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (.f64 d (/.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 -1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) (/.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 -1/2 binary64)) M)) (sqrt.f64 (.f64 d (/.f64 l h)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 d l))) (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M))))) D)
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (.f64 d (/.f64 l h)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 d l))) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) D)
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d 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 -1/2 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (.f64 d (/.f64 l h)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (.f64 d (/.f64 l h)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 d l))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)))) D)
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d 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 -1/2 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (.f64 d (/.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 -1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) (/.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 -1/2 binary64)) M)) (sqrt.f64 (.f64 d (/.f64 l h)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 d l))) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))))) D)
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 (.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)))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 #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))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 #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)))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(.f64 (neg.f64 D) (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)))))
(* -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)))))))
(.f64 (neg.f64 D) (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))))))
(* -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))))))))
(.f64 (neg.f64 D) (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)))))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(.f64 (neg.f64 D) (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 -1/2 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 -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(.f64 (neg.f64 D) (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 -1/2 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 -1/2 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 -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(.f64 (neg.f64 D) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))))
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(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))))
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(* h (- (/ 1 h) (* 1/2 (/ (* (pow D 2) (pow M 2)) (* d l)))))
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(* h (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l)))))))
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(* h (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l))))))))
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(* h (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l)))))))))
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(* h (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))
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(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))))
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(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))))
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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 d d) (/.f64 (/.f64 w0 (pow.f64 D #s(literal 5 binary64))) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #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 -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 d d) D) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #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 -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 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))))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #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 -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (- d (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)
(/.f64 (-.f64 d (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) h) l)) #s(literal 1/2 binary64))) d)
(/ (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l)))) d)
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) l) h)) (.f64 (sqrt.f64 (.f64 d (/.f64 h l))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (.f64 d (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l (.f64 d h))))) (.f64 d d) (.f64 (sqrt.f64 (.f64 d (/.f64 h l))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) d) (pow.f64 h #s(literal 5 binary64)))) (/.f64 (/.f64 w0 (pow.f64 D #s(literal 5 binary64))) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l (.f64 d h)) #s(literal 3 binary64))))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l (.f64 d h))))) (.f64 d d) (.f64 (sqrt.f64 (.f64 d (/.f64 h l))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D))) d)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d)
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) l) h)) (.f64 (sqrt.f64 (.f64 d (/.f64 h l))) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (.f64 d (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l (.f64 d h))))) (.f64 d d) (.f64 (sqrt.f64 (.f64 d (/.f64 h l))) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) d) (pow.f64 h #s(literal 5 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 5 binary64))) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l (.f64 d 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 -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l (.f64 d h))))) (.f64 d d) (.f64 (sqrt.f64 (.f64 d (/.f64 h l))) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) d)
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l))) d)))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l)) #s(literal 1/4 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 (.f64 l l) d)) #s(literal 1/32 binary64))) d) #s(literal -1 binary64) w0)
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l))) d)))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l)) #s(literal 1/4 binary64) (/.f64 (neg.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 l #s(literal 3 binary64)) d)) #s(literal -1/128 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 l l)) #s(literal -1/32 binary64)))) d)) d) #s(literal -1 binary64) w0)
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(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 (.f64 l l) d)) #s(literal 1/32 binary64) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64))) d) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64) (/.f64 (neg.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 l #s(literal 3 binary64)) d)) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 h h)) (.f64 l l)) #s(literal -1/32 binary64)))) d)) d) #s(literal -1 binary64) #s(literal 1 binary64))

rewrite154.0ms (1.4%)

Memory

21.6MiB live, 251.1MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	432
0	108	432
1	319	391
2	2166	391
0	8783	391

Stop Event

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

Counts

25 → 424

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 M d) (.f64 D (/.f64 h l))) #s(literal -4 binary64))) (*.f64 D (/.f64 (neg.f64 M) d)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l))) (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))) (/.f64 h l))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 M) (.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l))) #s(literal -2 binary64)) (/.f64 D d))
(.f64 (/.f64 (.f64 (neg.f64 M) (.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l))) d) (/.f64 D #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l)) d) (.f64 M (/.f64 D #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 D (/.f64 h l)) #s(literal -2 binary64)) (/.f64 (.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (neg.f64 M)) d))
(.f64 (/.f64 (.f64 D (/.f64 h l)) d) (/.f64 (.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (neg.f64 M)) #s(literal -2 binary64)))
(.f64 (.f64 M (/.f64 D #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l)) d))
(.f64 (.f64 (neg.f64 M) (.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l))) (/.f64 D (*.f64 #s(literal -2 binary64) d)))
(.f64 (.f64 D (/.f64 (neg.f64 M) d)) (/.f64 (.f64 (/.f64 M d) (.f64 D (/.f64 h l))) #s(literal -4 binary64)))
(.f64 (/.f64 (.f64 (/.f64 M d) (.f64 D (/.f64 h l))) #s(literal -4 binary64)) (.f64 D (/.f64 (neg.f64 M) d)))
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) (/.f64 h l))
(.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) (/.f64 h l)))
(.f64 (.f64 (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 1 binary64))
(.f64 (.f64 (neg.f64 M) D) (/.f64 (.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l)) (*.f64 #s(literal -2 binary64) d)))
(.f64 (.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l)) (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D))
(.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 (.f64 D (/.f64 h l)) (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)))
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(+.f64 (cosh.f64 (.f64 (log1p.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 (.f64 #s(literal -2 binary64) d) l)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 (.f64 #s(literal -2 binary64) d) l)))) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) d))) (/.f64 h l))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)))) (/.f64 h (.f64 (*.f64 #s(literal -2 binary64) d) l)))
(.f64 (/.f64 (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 h (*.f64 d l)))
(.f64 (/.f64 (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))) l) (/.f64 h (*.f64 #s(literal -2 binary64) d)))
(.f64 (/.f64 h (.f64 #s(literal -2 binary64) d)) (/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) l))
(.f64 (/.f64 h #s(literal -2 binary64)) (/.f64 (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))) (*.f64 d l)))
(.f64 (/.f64 h (.f64 (.f64 #s(literal -2 binary64) d) l)) (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d)) (/.f64 h l))
(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) #s(literal 2 binary64)) (.f64 d l)) #s(literal 1 binary64))
(.f64 (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))) (/.f64 h (.f64 (.f64 #s(literal -2 binary64) d) l)))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) #s(literal 2 binary64)) (.f64 d l)))
(.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d)))
(.f64 h (/.f64 (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -2 binary64) d) l)))
(/.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) #s(literal 2 binary64))) (neg.f64 (*.f64 d l)))
(/.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (neg.f64 l))) (*.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 (.f64 (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))) (/.f64 h l))) (*.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d)) (neg.f64 h))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d)) h)) (neg.f64 l))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal 2 binary64)) d))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h))) (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) d) l)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (neg.f64 h)))) (.f64 (*.f64 #s(literal 2 binary64) d) l))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) #s(literal 2 binary64)) d))) (neg.f64 (neg.f64 l)))
(/.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) #s(literal 2 binary64)) (*.f64 d l))
(/.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (neg.f64 l)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (.f64 (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))) (/.f64 h l)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d)) (neg.f64 h)) (neg.f64 l))
(/.f64 (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d)) h) l)
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal 2 binary64)) d)) l)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h)) (.f64 (*.f64 #s(literal 2 binary64) d) l))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (neg.f64 h))) (.f64 (*.f64 #s(literal -2 binary64) d) l))
(/.f64 (neg.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) #s(literal 2 binary64)) d)) (neg.f64 l))
(/.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) #s(literal 2 binary64)) d) l)
(/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (neg.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) d) l))))
(/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (.f64 (.f64 #s(literal 2 binary64) d) l))
(/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (neg.f64 h)) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) d) l)))
(/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (neg.f64 h)) (.f64 (.f64 #s(literal -2 binary64) d) l))
(neg.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (.f64 (.f64 #s(literal -2 binary64) d) l)))
(neg.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 (.f64 #s(literal -2 binary64) d) l))))
(.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (/.f64 h l)) D)
(.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l))
(.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 D (/.f64 h l)))
(.f64 (.f64 D (/.f64 h l)) (/.f64 (/.f64 M d) #s(literal 2 binary64)))
(.f64 D (.f64 (/.f64 h l) (/.f64 (/.f64 M d) #s(literal 2 binary64))))
(.f64 (/.f64 h l) (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D))
(/.f64 (neg.f64 (.f64 (/.f64 (neg.f64 M) d) (.f64 D (/.f64 h l)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 M (.f64 D (/.f64 h l)))) (*.f64 #s(literal -2 binary64) d))
(/.f64 (neg.f64 (.f64 (.f64 D h) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 h (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 D h))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (.f64 D (/.f64 h l)) (/.f64 (neg.f64 M) d))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 h) (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (neg.f64 (.f64 (/.f64 M d) (.f64 D (/.f64 h l))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (/.f64 (neg.f64 M) d) (.f64 D h))) (neg.f64 (*.f64 #s(literal -2 binary64) l)))
(/.f64 (neg.f64 (.f64 (/.f64 M d) (.f64 D h))) (neg.f64 (*.f64 #s(literal 2 binary64) l)))
(/.f64 (neg.f64 (.f64 M (.f64 D h))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) d) l)))
(/.f64 (neg.f64 (.f64 (.f64 D h) (/.f64 (neg.f64 M) d))) (neg.f64 (*.f64 l #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 D (/.f64 h l)) M)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (neg.f64 (.f64 (.f64 D h) (/.f64 M d))) (neg.f64 (*.f64 l #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 D h) M)) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) d) l)))
(/.f64 (.f64 (/.f64 (neg.f64 M) d) (.f64 D (/.f64 h l))) #s(literal -2 binary64))
(/.f64 (.f64 M (.f64 D (/.f64 h l))) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (.f64 D h) (/.f64 (/.f64 M d) #s(literal 2 binary64))) l)
(/.f64 (.f64 h (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)) l)
(/.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 D h)) l)
(/.f64 (.f64 (.f64 D (/.f64 h l)) (/.f64 (neg.f64 M) d)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 D (/.f64 h l)) M) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (neg.f64 h) (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (/.f64 M d) (.f64 D (/.f64 h l)))) #s(literal -2 binary64))
(/.f64 (.f64 (/.f64 (neg.f64 M) d) (.f64 D h)) (*.f64 #s(literal -2 binary64) l))
(/.f64 (.f64 (/.f64 M d) (.f64 D h)) (*.f64 #s(literal 2 binary64) l))
(/.f64 (.f64 M (.f64 D h)) (.f64 (.f64 #s(literal 2 binary64) d) l))
(/.f64 (.f64 (.f64 D h) (/.f64 (neg.f64 M) d)) (*.f64 l #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 D h) (/.f64 M d)) (*.f64 l #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 D h) M) (.f64 (.f64 #s(literal 2 binary64) d) l))
(/.f64 (.f64 (/.f64 M d) (.f64 D (/.f64 h l))) #s(literal 2 binary64))
(*.f64 D (/.f64 h l))
(*.f64 (/.f64 h l) D)
(*.f64 h (/.f64 D l))
(/.f64 (neg.f64 (*.f64 D (neg.f64 h))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (neg.f64 (*.f64 D h))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (neg.f64 h) D)) (neg.f64 (neg.f64 l)))
(/.f64 (*.f64 D (neg.f64 h)) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 D h)) (neg.f64 l))
(/.f64 (*.f64 (neg.f64 h) D) (neg.f64 l))
(/.f64 (*.f64 D h) l)
(.f64 (/.f64 (.f64 M M) (.f64 d d)) (/.f64 (.f64 D D) l))
(.f64 (/.f64 (.f64 M M) l) (/.f64 (.f64 D D) (.f64 d d)))
(.f64 (/.f64 (.f64 (.f64 M M) D) l) (/.f64 D (.f64 d d)))
(.f64 (/.f64 D (.f64 d d)) (/.f64 (.f64 (.f64 M M) D) l))
(.f64 (/.f64 D (.f64 (.f64 d d) l)) (.f64 (*.f64 M M) D))
(.f64 (.f64 (.f64 (/.f64 M d) M) D) (/.f64 D (.f64 d l)))
(.f64 (/.f64 D l) (.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)))
(.f64 (.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (/.f64 D l))
(.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M M) D) (.f64 d l)))
(.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 D D) (.f64 d l)))
(.f64 (.f64 (.f64 M M) D) (/.f64 D (.f64 (*.f64 d d) l)))
(.f64 (.f64 M M) (/.f64 (.f64 D D) (.f64 (*.f64 d d) l)))
(.f64 (.f64 M M) (.f64 D (/.f64 D (.f64 (*.f64 d d) l))))
(.f64 M (.f64 (.f64 M D) (/.f64 D (.f64 (*.f64 d d) l))))
(.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (*.f64 d d) l)))
(.f64 D (.f64 (.f64 M M) (/.f64 D (.f64 (*.f64 d d) l))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) l)) (neg.f64 (.f64 d d)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D l))) (neg.f64 (.f64 d d)))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) D)) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (.f64 (neg.f64 l) (*.f64 d d)))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d)) (neg.f64 (.f64 d l)))
(/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) l) (.f64 d d))
(/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) (.f64 d l))
(/.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D l)) (.f64 d d))
(/.f64 (.f64 (.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) D) l)
(/.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d)) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)))) (neg.f64 (.f64 (neg.f64 l) (*.f64 d d))))
(/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d) l)
(/.f64 (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))) (.f64 (neg.f64 l) (*.f64 d d)))
(/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 (*.f64 d d) l))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))) (.f64 (*.f64 d d) l)))
(neg.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 (neg.f64 l) (*.f64 d d))))
(.f64 (.f64 l (neg.f64 d)) (neg.f64 d))
(.f64 (.f64 d l) d)
(.f64 (neg.f64 d) (.f64 (neg.f64 d) l))
(.f64 (.f64 d d) l)
(.f64 d (.f64 d l))
(.f64 l (.f64 d d))
(.f64 (.f64 M D) M)
(.f64 (.f64 M M) D)
(.f64 (.f64 (neg.f64 M) D) (neg.f64 M))
(.f64 (neg.f64 M) (.f64 (neg.f64 M) D))
(.f64 M (.f64 M D))
(.f64 D (.f64 M M))
(.f64 (.f64 (/.f64 D #s(literal 2 binary64)) M) (/.f64 M d))
(.f64 (.f64 (/.f64 M d) M) (/.f64 D #s(literal 2 binary64)))
(.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))
(.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M)
(.f64 (/.f64 M d) (.f64 M (/.f64 D #s(literal 2 binary64))))
(.f64 M (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D))
(.f64 D (/.f64 (.f64 (/.f64 M d) M) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 M M) (/.f64 D #s(literal 2 binary64)))) (neg.f64 d))
(/.f64 (neg.f64 (.f64 (neg.f64 D) (.f64 (/.f64 M d) M))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 M d) M) (neg.f64 D))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 M M))) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (/.f64 M d) M) D))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 M M) (neg.f64 D))) (*.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 (.f64 (neg.f64 D) (.f64 M M))) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (.f64 M M) (/.f64 D #s(literal 2 binary64))) d)
(/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 M d) M)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (/.f64 M d) M) (neg.f64 D)) #s(literal -2 binary64))
(/.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 M M)) d)
(/.f64 (neg.f64 (.f64 (.f64 M M) D)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 M d) M) D)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 M M) (neg.f64 D)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (.f64 (neg.f64 D) (.f64 M M)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (.f64 (.f64 (/.f64 M d) M) D) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 M M) D) (*.f64 #s(literal 2 binary64) d))
(.f64 (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))) h)
(.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (neg.f64 h))
(.f64 h (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))))
(neg.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h))

eval118.0ms (1%)

Memory: -4.4MiB live, 174.5MiB allocated; 44ms collecting garbage
Compiler: Compiled 32 039 to 4 041 computations (87.4% saved)

prune70.0ms (0.6%)

Memory

-1.0MiB live, 105.4MiB allocated; 44ms collecting garbage

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	670	22	692
Fresh	5	3	8
Picked	4	1	5
Done	1	0	1
Total	680	26	706

Accuracy

89.4%

Counts

706 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.4%	(.f64 w0 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) #s(literal 2 binary64)) (.f64 d l))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	75.0%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) h) D)) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))))
▶	82.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 D h)) (.f64 #s(literal 2 binary64) l)) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)))))
	77.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 D h) M) (.f64 (.f64 #s(literal 2 binary64) d) l)) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
	80.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (* (* (/ h l) D) (/ (/ M d) 2)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 M h) D)) (.f64 d l))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
▶	69.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (.f64 (.f64 M D) (.f64 M D)) (neg.f64 h))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	80.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 D (/.f64 h l))) #s(literal -4 binary64)) (*.f64 D (/.f64 (neg.f64 M) d))))))
	70.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))) (.f64 (*.f64 #s(literal -2 binary64) d) l))))))
	69.7%	(.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 (*.f64 #s(literal -2 binary64) d) l))))))
▶	84.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (/.f64 M d) M)) D) l) #s(literal 1 binary64)))))
	70.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d l) d)) #s(literal 1 binary64)))))
	65.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M D) D) M) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	68.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) D) l) (/.f64 D (*.f64 d d))) #s(literal 1 binary64)))))
▶	64.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 D D) (*.f64 d l))) #s(literal 1 binary64)))))
	79.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 (.f64 (/.f64 M d) M) D) (/.f64 D (*.f64 d l))) #s(literal 1 binary64)))))
	71.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 M (.f64 (.f64 M D) (/.f64 D (.f64 (.f64 d d) l)))) #s(literal 1 binary64)))))
	65.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))))
	15.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
	14.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
	69.7%	(.f64 w0 (exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 (.f64 #s(literal -2 binary64) d) l)))) #s(literal 1/2 binary64))))
	53.3%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)))) (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))))
	60.7%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( (neg (pow (* D M) 2)) h) (* (* -2 d) l)))) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1 binary64))))
	53.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
✓	66.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	52.9%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (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))
	61.0%	#s(approx (* w0 (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 binary64) w0))

Compiler

Compiled 1 666 to 1 317 computations (20.9% saved)

simplify127.0ms (1.1%)

Memory

18.5MiB live, 155.6MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 D h)) (.f64 #s(literal 2 binary64) l)) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 D h)) (.f64 #s(literal 2 binary64) l)) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)))))
cost-diff	2	(.f64 (/.f64 (.f64 (/.f64 M d) (.f64 D h)) (.f64 #s(literal 2 binary64) l)) (*.f64 (neg.f64 M) D))
cost-diff	5	(/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 D h)) (.f64 #s(literal 2 binary64) l)) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 D D) (*.f64 d l))) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 D D) (*.f64 d l))) #s(literal 1 binary64))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 D D) (*.f64 d l))) #s(literal 1 binary64)))))
cost-diff	2	(.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 D D) (.f64 d l)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (neg (pow (* D M) 2)) h) (.f64 (.f64 (.f64 M D) (.f64 M D)) (neg.f64 h))) (.f64 (.f64 #s(literal -2 binary64) d) l)))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (neg (pow (* D M) 2)) h) (.f64 (.f64 (.f64 M D) (.f64 M D)) (neg.f64 h))) (.f64 (.f64 #s(literal -2 binary64) d) l))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (.f64 (.f64 M D) (.f64 M D)) (neg.f64 h))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
cost-diff	2	(.f64 (.f64 M D) (*.f64 M 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 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (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	2	(.f64 (.f64 (.f64 (.f64 M M) h) w0) (*.f64 D D))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (/.f64 M d) M)) D) l) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (/.f64 M d) M)) D) l) #s(literal 1 binary64))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (/.f64 M d) M)) D) l) #s(literal 1 binary64)))))
cost-diff	2	(.f64 (.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) D)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	793
0	133	779
1	300	739
2	1226	712
3	5338	712
0	8758	712

Stop Event

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

Calls

Call 1

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

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

localize258.0ms (2.3%)

Memory

22.8MiB live, 441.2MiB allocated; 50ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.244331593888705	(/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 D h)) (.f64 #s(literal 2 binary64) l)) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))
accuracy	6.044464588362727	(/.f64 (.f64 (/.f64 M d) (.f64 D h)) (*.f64 #s(literal 2 binary64) l))
accuracy	6.466853215309848	(.f64 (/.f64 M d) (.f64 D h))
accuracy	7.018279358970011	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 D h)) (.f64 #s(literal 2 binary64) l)) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))))
accuracy	1.6560149434981395	(fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 D D) (*.f64 d l))) #s(literal 1 binary64))
accuracy	7.018279358970011	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 D D) (*.f64 d l))) #s(literal 1 binary64))))
accuracy	8.120670953691134	(.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 D D) (.f64 d l)))
accuracy	14.265381000339197	(/.f64 (.f64 D D) (.f64 d l))
accuracy	0.998959004840228	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (.f64 (.f64 M D) (.f64 M D)) (neg.f64 h))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
accuracy	3.041946446604394	(.f64 (.f64 (.f64 M D) (.f64 M D)) (neg.f64 h))
accuracy	8.139216668481382	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (neg (pow (* D M) 2)) h) (.f64 (.f64 (.f64 M D) (.f64 M D)) (neg.f64 h))) (.f64 (.f64 #s(literal -2 binary64) d) l))))
accuracy	10.499509946426915	(/.f64 #s(approx (* (neg (pow (* D M) 2)) h) (.f64 (.f64 (.f64 M D) (.f64 M D)) (neg.f64 h))) (.f64 (.f64 #s(literal -2 binary64) d) l))
accuracy	6.190451838745431	(.f64 (.f64 d d) l)
accuracy	11.272443378560544	(.f64 (.f64 (.f64 (.f64 M M) h) w0) (*.f64 D D))
accuracy	11.758825757156334	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (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	13.916219597386732	(/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l))
accuracy	3.6769601917120993	(.f64 (.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) D)
accuracy	4.329710398642296	(/.f64 (.f64 (.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) D) l)
accuracy	6.529383096011958	(.f64 (/.f64 D d) (.f64 (/.f64 M d) M))
accuracy	7.018279358970011	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (/.f64 M d) M)) D) l) #s(literal 1 binary64))))

Samples

189.0ms	247×	0	valid
5.0ms	9×	0	invalid

Compiler

Compiled 608 to 78 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-mult: 102.0ms (68.5% of total)

ival-div: 22.0ms (14.8% of total)

ival-sqrt: 7.0ms (4.7% of total)

ival-sub: 5.0ms (3.4% of total)

ival-pow2: 5.0ms (3.4% of total)

ival-add: 4.0ms (2.7% of total)

ival-neg: 3.0ms (2% of total)

exact: 1.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

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

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

series152.0ms (1.3%)

Memory

-27.9MiB live, 311.1MiB allocated; 52ms collecting garbage

Counts

29 → 203

Calls

Call 1

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

Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* (pow D 2) (* (pow M 2) (* h w0)))
(* 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))
(* w0 (sqrt (- 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(/ (* (pow D 2) (pow M 2)) (pow d 2))
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))))
(* (pow D 2) (pow M 2))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* d l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(/ (* D (pow M 2)) (pow d 2))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(* -1 (* (pow D 2) (* (pow M 2) h)))
(/ (* D (* M h)) d)
(* 1/2 (/ (* D (* M h)) (* d 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)))))))
(* -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)))))
(* -1/8 (/ (* (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))))
(* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h (* d l))))
(* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))
(* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l))))
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/2 (/ (* (pow D 2) h) (* d 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))))))))
(* -1 (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))))
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d 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) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(/ (pow D 2) (* d 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 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(* D (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))
(* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/2 (/ (* (pow M 2) h) (* d 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))))))))
(* -1 (* D (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* -1 (* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* -1 (* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))))
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d 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 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 2) (pow l 2)))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 2) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 3) (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)))))
(* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)))
(* h (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l)))))))
(* h (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l))))))))
(* h (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l)))))))))
(* h (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))))
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(* h (- (/ 1 h) (* 1/2 (/ (* (pow D 2) (pow M 2)) (* d 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 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))
(* -1 (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ h (* d l)))))
(* -1 (* h (+ (* 1/2 (* (/ (* w0 (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ 1 (* d (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* w0 (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (* w0 (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* w0 (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (* w0 (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (* w0 (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ 1 (* d (* h l))))))))))
(* -1 (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ h (* d l)))))
(* -1 (* h (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))))
(* h (+ (* -1/2 (/ (* (pow D 2) (pow M 2)) (* d l))) (/ 1 h)))
(* -1 (* 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)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)
(/ (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(/ (- l (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)
(* (pow d 2) 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 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 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 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) d))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) d))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) 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))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))
(/ (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(/ (- d (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l))) d)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l))) d)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))

Calls

18 calls:

Time	Variable		Point	Expression
36.0ms	D	@	0	((* (* (/ D d) (* (/ M d) M)) 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))) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* M D) (* M D)) (* w0 (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))))) (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)))) (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))) (* (* (/ M d) M) (/ (* D 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 d) (* D h)) (* 2 l)) (* (neg M) D)) (* -2 d)) (* (/ (* (/ M d) (* D h)) (* 2 l)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) (* D h)) (* 2 l)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (/ M d) (* D h)) (* 2 l)) (* (neg M) D)) (* -2 d)))) (* (/ D d) (* (/ M d) M)) (/ (* (* (/ D d) (* (/ M d) M)) D) l) (* (* d d) l) (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)) (* (* (* M D) (* M D)) (neg h)) (/ (* D D) (* d l)) (+ (* (* h -1/4) (* (* (/ M d) M) (/ (* D D) (* d l)))) 1) (* (/ M d) (* D h)) (/ (* (/ M d) (* D h)) (* 2 l)))
9.0ms	d	@	-inf	((* (* (/ D d) (* (/ M d) M)) 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))) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* M D) (* M D)) (* w0 (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))))) (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)))) (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))) (* (* (/ M d) M) (/ (* D 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 d) (* D h)) (* 2 l)) (* (neg M) D)) (* -2 d)) (* (/ (* (/ M d) (* D h)) (* 2 l)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) (* D h)) (* 2 l)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (/ M d) (* D h)) (* 2 l)) (* (neg M) D)) (* -2 d)))) (* (/ D d) (* (/ M d) M)) (/ (* (* (/ D d) (* (/ M d) M)) D) l) (* (* d d) l) (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)) (* (* (* M D) (* M D)) (neg h)) (/ (* D D) (* d l)) (+ (* (* h -1/4) (* (* (/ M d) M) (/ (* D D) (* d l)))) 1) (* (/ M d) (* D h)) (/ (* (/ M d) (* D h)) (* 2 l)))
8.0ms	M	@	0	((* (* (/ D d) (* (/ M d) M)) 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))) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* M D) (* M D)) (* w0 (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))))) (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)))) (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))) (* (* (/ M d) M) (/ (* D 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 d) (* D h)) (* 2 l)) (* (neg M) D)) (* -2 d)) (* (/ (* (/ M d) (* D h)) (* 2 l)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) (* D h)) (* 2 l)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (/ M d) (* D h)) (* 2 l)) (* (neg M) D)) (* -2 d)))) (* (/ D d) (* (/ M d) M)) (/ (* (* (/ D d) (* (/ M d) M)) D) l) (* (* d d) l) (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)) (* (* (* M D) (* M D)) (neg h)) (/ (* D D) (* d l)) (+ (* (* h -1/4) (* (* (/ M d) M) (/ (* D D) (* d l)))) 1) (* (/ M d) (* D h)) (/ (* (/ M d) (* D h)) (* 2 l)))
8.0ms	D	@	inf	((* (* (/ D d) (* (/ M d) M)) 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))) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* M D) (* M D)) (* w0 (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))))) (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)))) (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))) (* (* (/ M d) M) (/ (* D 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 d) (* D h)) (* 2 l)) (* (neg M) D)) (* -2 d)) (* (/ (* (/ M d) (* D h)) (* 2 l)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) (* D h)) (* 2 l)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (/ M d) (* D h)) (* 2 l)) (* (neg M) D)) (* -2 d)))) (* (/ D d) (* (/ M d) M)) (/ (* (* (/ D d) (* (/ M d) M)) D) l) (* (* d d) l) (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)) (* (* (* M D) (* M D)) (neg h)) (/ (* D D) (* d l)) (+ (* (* h -1/4) (* (* (/ M d) M) (/ (* D D) (* d l)))) 1) (* (/ M d) (* D h)) (/ (* (/ M d) (* D h)) (* 2 l)))
7.0ms	D	@	-inf	((* (* (/ D d) (* (/ M d) M)) 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))) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* M D) (* M D)) (* w0 (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))))) (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)))) (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))) (* (* (/ M d) M) (/ (* D 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 d) (* D h)) (* 2 l)) (* (neg M) D)) (* -2 d)) (* (/ (* (/ M d) (* D h)) (* 2 l)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) (* D h)) (* 2 l)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (/ M d) (* D h)) (* 2 l)) (* (neg M) D)) (* -2 d)))) (* (/ D d) (* (/ M d) M)) (/ (* (* (/ D d) (* (/ M d) M)) D) l) (* (* d d) l) (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)) (* (* (* M D) (* M D)) (neg h)) (/ (* D D) (* d l)) (+ (* (* h -1/4) (* (* (/ M d) M) (/ (* D D) (* d l)))) 1) (* (/ M d) (* D h)) (/ (* (/ M d) (* D h)) (* 2 l)))

simplify186.0ms (1.6%)

Memory

-2.5MiB live, 270.0MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1238	9450
1	4768	9338
0	8276	9029

Stop Event

1×	iter limit
1×	node limit

Counts

203 → 202

Calls

Call 1

Inputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* (pow D 2) (* (pow M 2) (* h w0)))
(* 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))
(* w0 (sqrt (- 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(/ (* (pow D 2) (pow M 2)) (pow d 2))
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))))
(* (pow D 2) (pow M 2))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* d l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(/ (* D (pow M 2)) (pow d 2))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(* -1 (* (pow D 2) (* (pow M 2) h)))
(/ (* D (* M h)) d)
(* 1/2 (/ (* D (* M h)) (* d 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)))))))
(* -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)))))
(* -1/8 (/ (* (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))))
(* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h (* d l))))
(* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))
(* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l))))
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/2 (/ (* (pow D 2) h) (* d 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))))))))
(* -1 (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))))
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d 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) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(/ (pow D 2) (* d 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 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(* D (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))
(* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/2 (/ (* (pow M 2) h) (* d 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))))))))
(* -1 (* D (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* -1 (* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* -1 (* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))))
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d 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 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 2) (pow l 2)))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 2) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 3) (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)))))
(* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)))
(* h (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l)))))))
(* h (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l))))))))
(* h (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l)))))))))
(* h (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))))
(* h (- (/ 1 h) (* 1/2 (/ (* (pow D 2) (pow M 2)) (* d 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 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))
(* -1 (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ h (* d l)))))
(* -1 (* h (+ (* 1/2 (* (/ (* w0 (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ 1 (* d (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* w0 (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (* w0 (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* w0 (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (* w0 (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (* w0 (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ 1 (* d (* h l))))))))))
(* -1 (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ h (* d l)))))
(* -1 (* h (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))))
(* h (+ (* -1/2 (/ (* (pow D 2) (pow M 2)) (* d l))) (/ 1 h)))
(* -1 (* 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)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)
(/ (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(/ (- l (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)
(* (pow d 2) 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 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 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 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) d))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) d))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) 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))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))
(/ (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(/ (- d (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l))) d)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l))) d)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))

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)
(* (pow D 2) (* (pow M 2) (* h w0)))
(.f64 (.f64 (.f64 (.f64 M M) h) w0) (*.f64 D D))
(* 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))
(* w0 (sqrt (- 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))) w0)
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(.f64 (neg.f64 w0) (-.f64 (.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)))
(/ (* (pow D 2) (pow M 2)) (pow d 2))
(/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 d d))
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 M) (.f64 h 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))
(* (pow D 2) (pow M 2))
(.f64 (.f64 M M) (*.f64 D D))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* d l))))
(fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 binary64) w0)
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 d d)) (/.f64 (.f64 (.f64 (.f64 h h) w0) (.f64 M M)) (.f64 l l))) #s(literal -1/32 binary64) (.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 h w0) l)) #s(literal -1/4 binary64))) (.f64 M M) w0)
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 d d)) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/32 binary64) (.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 (.f64 l d) #s(literal 3 binary64))) #s(literal -1/128 binary64))) (.f64 M M) (.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 h w0) l)) #s(literal -1/4 binary64))) (*.f64 M M) w0)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 d d)) (/.f64 (.f64 (.f64 h M) (.f64 h M)) (.f64 l l))) #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 l d))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 d d)) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/32 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) (.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 (.f64 l d) #s(literal 3 binary64))) #s(literal -1/128 binary64))) (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 l d))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1 binary64))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 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 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (*.f64 M M) h) l)))
(/ (* D (pow M 2)) (pow d 2))
(/.f64 (.f64 (.f64 M M) D) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (*.f64 M M) h) l)) #s(literal 1/2 binary64))
(* -1 (* (pow D 2) (* (pow M 2) h)))
(.f64 (.f64 (.f64 M M) (.f64 D D)) (neg.f64 h))
(/ (* D (* M h)) d)
(/.f64 (.f64 (.f64 h M) D) d)
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (/.f64 (/.f64 (.f64 (*.f64 h M) D) d) l) #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 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 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 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)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(.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))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
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(* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h (* d l))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l d))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D))
(* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))
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(* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
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(* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
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(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l))))
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(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))
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(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
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(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/2 (/ (* (pow D 2) h) (* d l)))))
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* -1 (* (/ (* D (* M (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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(* -1 (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h (* d l)))))
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(* -1 (* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
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(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))))
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(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
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(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
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(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d 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)))))))
(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) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l d))) (*.f64 D D) w0)
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 d d)) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/32 binary64) (.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 (.f64 l d) #s(literal 3 binary64))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l d))) (.f64 D D) w0)
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l d))) (*.f64 D D) #s(literal 1 binary64))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 d d)) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/32 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (.f64 D D)) (pow.f64 (.f64 l d) #s(literal 3 binary64))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l d))) (*.f64 D D) #s(literal 1 binary64))
(/ (pow D 2) (* d l))
(/.f64 (/.f64 (*.f64 D D) d) 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 (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))
(* (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))
(* D (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 w0 (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (.f64 d (/.f64 l h)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 l d))) (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M))) D)
(* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d 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 -1/2 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (.f64 d (/.f64 l h)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 w0 (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (.f64 d (/.f64 l h)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 l d))) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M)))) D)
(* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d 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 -1/2 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (.f64 d (/.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 -1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) (/.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 -1/2 binary64)) M)) (sqrt.f64 (.f64 d (/.f64 l h)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 l d))) (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M))))) D)
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (.f64 d (/.f64 l h)))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) (sqrt.f64 (/.f64 h (.f64 l d))))) D)
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d 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 -1/2 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (.f64 d (/.f64 l h)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (.f64 d (/.f64 l h)))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) (sqrt.f64 (/.f64 h (*.f64 l d)))))) D)
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d 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 -1/2 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (.f64 d (/.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 -1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) (/.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 -1/2 binary64)) M)) (sqrt.f64 (.f64 d (/.f64 l h)))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) (sqrt.f64 (/.f64 h (.f64 l d))))))) D)
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/2 (/ (* (pow M 2) h) (* d l)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 D D)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 M M) h)) (.f64 l d))) (*.f64 D D))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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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 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
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(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
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(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 2) (pow l 2)))))))
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(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 3) (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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(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)) (.f64 (.f64 l l) d)) #s(literal 1/32 binary64) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l)) #s(literal 1/4 binary64))) d) #s(literal -1 binary64) w0)
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(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l)) #s(literal 1/4 binary64) (/.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 l #s(literal 3 binary64)) d)) #s(literal -1/128 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 l l)) #s(literal -1/32 binary64))) (neg.f64 d))) d) #s(literal -1 binary64) w0)
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(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 (.f64 l l) d)) #s(literal 1/32 binary64) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64))) d) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64) (/.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 l #s(literal 3 binary64)) d)) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 h h)) (.f64 l l)) #s(literal -1/32 binary64))) (neg.f64 d))) d) #s(literal -1 binary64) #s(literal 1 binary64))

rewrite159.0ms (1.4%)

Memory

14.5MiB live, 193.9MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	611
0	133	599
1	432	543
2	2754	543
0	9018	543

Stop Event

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

Counts

29 → 524

Calls

Call 1

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

Outputs
(.f64 (.f64 D (/.f64 (*.f64 (/.f64 M d) D) d)) M)
(.f64 (.f64 D (/.f64 D d)) (*.f64 (/.f64 M d) M))
(.f64 (.f64 (*.f64 (/.f64 M d) D) M) (/.f64 D d))
(.f64 (/.f64 (.f64 (/.f64 M d) D) d) (*.f64 M D))
(.f64 (.f64 (*.f64 (/.f64 D d) M) (/.f64 M d)) D)
(.f64 (.f64 (/.f64 M d) M) (*.f64 (/.f64 D d) D))
(.f64 (/.f64 D d) (.f64 (*.f64 (/.f64 M d) D) M))
(.f64 D (.f64 (*.f64 (/.f64 D d) M) (/.f64 M d)))
(/.f64 (.f64 (neg.f64 D) (.f64 (*.f64 (/.f64 M d) D) M)) (neg.f64 d))
(/.f64 (.f64 D (.f64 (*.f64 (/.f64 M d) D) M)) d)
(/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d)
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 (neg.f64 (pow.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) l) d) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) w0) (neg.f64 D)) (neg.f64 D))
(.f64 (.f64 (.f64 D D) w0) (.f64 (*.f64 M M) h))
(.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) w0) D) D)
(.f64 (.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) w0)
(.f64 (neg.f64 D) (.f64 (neg.f64 D) (.f64 (.f64 (*.f64 M M) h) w0)))
(.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (*.f64 h w0))
(.f64 (.f64 D D) (.f64 (.f64 (*.f64 M M) h) w0))
(.f64 (.f64 (.f64 (.f64 M M) h) w0) (*.f64 D D))
(.f64 (.f64 (.f64 M M) h) (.f64 (*.f64 D D) w0))
(.f64 (.f64 M M) (.f64 (.f64 h w0) (*.f64 D D)))
(.f64 (.f64 M M) (.f64 h (.f64 (*.f64 D D) w0)))
(.f64 h (.f64 (.f64 M M) (.f64 (*.f64 D D) w0)))
(.f64 w0 (.f64 (.f64 (.f64 M M) h) (*.f64 D D)))
(.f64 M (.f64 (.f64 h M) (.f64 (*.f64 D D) w0)))
(.f64 D (.f64 (.f64 (.f64 (*.f64 M M) h) w0) D))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (/.f64 #s(literal -1/8 binary64) (.f64 (*.f64 d d) l)) w0))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))) w0)) (.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))) w0) (.f64 w0 w0))) (.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))) w0) (-.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))) w0)))
(/.f64 (-.f64 (.f64 w0 w0) (pow.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))) #s(literal 2 binary64))) (-.f64 w0 (.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (/.f64 #s(literal -1/8 binary64) (.f64 (*.f64 d d) l)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (.f64 (.f64 d d) l)) #s(literal 2 binary64)) (.f64 (neg.f64 w0) w0))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))) w0)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (.f64 (.f64 d d) l)) #s(literal 3 binary64)) (pow.f64 w0 #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (.f64 (.f64 d d) l)) #s(literal 2 binary64)) (.f64 w0 (-.f64 w0 (.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (/.f64 #s(literal -1/8 binary64) (.f64 (*.f64 d d) l))))))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (.f64 (.f64 d d) l)) #s(literal 2 binary64)) (.f64 (neg.f64 w0) w0)) (-.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))) w0))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (.f64 (.f64 d d) l)) #s(literal 3 binary64)) (pow.f64 w0 #s(literal 3 binary64))) (fma.f64 w0 w0 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) l))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) w0)))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (.f64 (.f64 d d) l)) #s(literal 3 binary64)) (pow.f64 w0 #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (.f64 (.f64 d d) l)) #s(literal 2 binary64)) (.f64 w0 (-.f64 w0 (.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (/.f64 #s(literal -1/8 binary64) (.f64 (*.f64 d d) l)))))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 w0 d) (/.f64 (.f64 (.f64 M M) h) d))) (*.f64 D (/.f64 D l)) w0)
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)) w0)
(fma.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) l) (/.f64 #s(literal -1/8 binary64) (.f64 d d)) w0)
(fma.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d)) w0)
(fma.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (.f64 d d)) (/.f64 #s(literal -1/8 binary64) l) w0)
(fma.f64 (.f64 (/.f64 w0 d) (/.f64 (.f64 (.f64 M M) h) d)) (.f64 (*.f64 D (/.f64 D l)) #s(literal -1/8 binary64)) w0)
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (.f64 (*.f64 d d) l)) w0)
(fma.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) w0) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)
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eval127.0ms (1.1%)

Memory: 27.0MiB live, 173.2MiB allocated; 45ms collecting garbage
Compiler: Compiled 31 166 to 4 108 computations (86.8% saved)

prune57.0ms (0.5%)

Memory

-29.1MiB live, 115.8MiB allocated; 23ms collecting garbage

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	651	23	674
Fresh	6	14	20
Picked	4	1	5
Done	0	1	1
Total	661	39	700

Accuracy

90.4%

Counts

700 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.4%	(.f64 w0 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (neg.f64 h) (pow.f64 (.f64 M D) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) d) l))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	75.0%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) h) D)) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))))
▶	84.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) (.f64 M D)) (.f64 l #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) d)))))
	80.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 h M) D) (.f64 (.f64 #s(literal 2 binary64) d) l)) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
	77.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 D h) M) (.f64 (.f64 #s(literal 2 binary64) d) l)) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
	41.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))))) (neg.f64 h))) (.f64 (*.f64 #s(literal -2 binary64) d) l)))))
✓	69.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (.f64 (.f64 M D) (.f64 M D)) (neg.f64 h))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	70.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 D (.f64 M (.f64 (neg.f64 h) (.f64 M D))))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	70.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))) (.f64 (*.f64 #s(literal -2 binary64) d) l))))))
	69.7%	(.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 (*.f64 #s(literal -2 binary64) d) l))))))
▶	79.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (/.f64 D l) d) D) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 M d)) #s(literal 1 binary64)))))
	78.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 M d)) (.f64 (/.f64 D l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
	83.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 M d)) (/.f64 D d)) (/.f64 D l) #s(literal 1 binary64)))))
	70.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) (*.f64 d d)) D) l) #s(literal 1 binary64)))))
	70.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d l) d)) #s(literal 1 binary64)))))
▶	65.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M D) D) M) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	79.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 (.f64 (/.f64 M d) M) D) (/.f64 D (*.f64 d l))) #s(literal 1 binary64)))))
	71.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 M (.f64 (.f64 M D) (/.f64 D (.f64 (.f64 d d) l)))) #s(literal 1 binary64)))))
	65.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))))
	15.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
	14.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
	69.7%	(.f64 w0 (exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 (.f64 #s(literal -2 binary64) d) l)))) #s(literal 1/2 binary64))))
	60.7%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( (neg (pow (* D M) 2)) h) (* (* -2 d) l)))) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1 binary64))))
✓	66.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	65.1%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (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))
	57.7%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D (/.f64 D l))) (.f64 d d)) #s(literal -1/8 binary64) w0))
	56.5%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 l d) d)) #s(literal -1/8 binary64) w0))
	50.4%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (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))
	71.9%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (*.f64 (/.f64 (/.f64 D l) d) D)) #s(literal -1/8 binary64) w0))
	53.9%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 (.f64 (.f64 D D) w0) (.f64 l d))) #s(literal -1/8 binary64) w0))
	62.8%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (fma.f64 (.f64 (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)) (.f64 (.f64 (.f64 M M) h) w0)) #s(literal -1/8 binary64) w0))
	65.2%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) (/.f64 D (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
	47.1%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (fma.f64 (.f64 (.f64 (.f64 M M) h) (/.f64 (.f64 (.f64 D D) w0) (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
	59.3%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (fma.f64 (.f64 (.f64 (.f64 M M) h) (.f64 w0 (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
	60.1%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (fma.f64 (.f64 (.f64 M M) (.f64 (.f64 h w0) (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
▶	66.4%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (fma.f64 (.f64 (.f64 D (/.f64 D d)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d))) #s(literal -1/8 binary64) w0))
	52.9%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
▶	13.8%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #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))))
	61.0%	#s(approx (* w0 (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 binary64) w0))

Compiler

Compiled 2 870 to 2 175 computations (24.2% saved)

simplify127.0ms (1.1%)

Memory

31.7MiB live, 216.6MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 (/.f64 (/.f64 D l) d) D) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 M d)) #s(literal 1 binary64))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (/.f64 D l) d) D) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 M d)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (/.f64 D l) d) D) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 M d)) #s(literal 1 binary64))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (/.f64 D l) d) D) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 M d)) #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M D) D) M) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M D) D) M) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M D) D) M) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M D) D) M) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
cost-diff	0	(*.f64 D (/.f64 D d))
cost-diff	0	(.f64 (.f64 D (/.f64 D d)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)))
cost-diff	0	(fma.f64 (.f64 (.f64 D (/.f64 D d)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d))) #s(literal -1/8 binary64) w0)
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (fma.f64 (.f64 (.f64 D (/.f64 D d)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d))) #s(literal -1/8 binary64) w0))
cost-diff	0	(/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l))
cost-diff	0	(.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))
cost-diff	0	#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)))
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #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))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) (.f64 M D)) (.f64 l #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) d)))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) (.f64 M D)) (.f64 l #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) d))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) (.f64 M D)) (.f64 l #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) d)))))
cost-diff	6	(/.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) (.f64 M D)) (.f64 l #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) d))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	797
0	132	797
1	294	767
2	1312	757
3	5148	757
0	8653	757

Stop Event

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

Calls

Call 1

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

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

localize280.0ms (2.5%)

Memory

-13.3MiB live, 512.8MiB allocated; 220ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.353641653886077	(.f64 (.f64 (*.f64 #s(literal -1/4 binary64) h) M) (/.f64 M d))
accuracy	4.272404114767903	(/.f64 (/.f64 D l) d)
accuracy	6.455380155134147	(fma.f64 (.f64 (/.f64 (/.f64 D l) d) D) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 M d)) #s(literal 1 binary64))
accuracy	7.018279358970011	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (/.f64 D l) d) D) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 M d)) #s(literal 1 binary64))))
accuracy	3.3578230024505085	(.f64 (.f64 (*.f64 M D) D) M)
accuracy	6.424405738417804	(.f64 (.f64 d d) l)
accuracy	7.018279358970011	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M D) D) M) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
accuracy	14.724210369716946	(/.f64 (.f64 (.f64 (.f64 M D) D) M) (.f64 (*.f64 d d) l))
accuracy	5.50225071761681	(.f64 (.f64 (*.f64 M M) h) w0)
accuracy	9.046012981990124	(/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d))
accuracy	11.758825757156334	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (fma.f64 (.f64 (.f64 D (/.f64 D d)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d))) #s(literal -1/8 binary64) w0))
accuracy	12.641537942047659	(.f64 (.f64 D (/.f64 D d)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 l d)))
accuracy	11.758825757156334	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #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))))
accuracy	12.964088855362569	(.f64 (.f64 (.f64 (.f64 M M) h) w0) (*.f64 D D))
accuracy	14.845287479011363	(/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l))
accuracy	39.90020173624241	#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)))
accuracy	4.248237843888704	(/.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) (.f64 M D)) (.f64 l #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) d))
accuracy	4.70915458157023	(/.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) (.f64 M D)) (*.f64 l #s(literal 2 binary64)))
accuracy	6.004953790608835	(.f64 (.f64 (/.f64 M d) h) D)
accuracy	7.018279358970011	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) (.f64 M D)) (.f64 l #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) d))))

Samples

226.0ms

256×

valid

Compiler

Compiled 605 to 74 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-mult: 146.0ms (78.2% of total)

ival-div: 22.0ms (11.8% of total)

ival-add: 5.0ms (2.7% of total)

ival-sqrt: 5.0ms (2.7% of total)

ival-sub: 4.0ms (2.1% of total)

ival-pow2: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

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

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

series180.0ms (1.6%)

Memory

5.8MiB live, 292.2MiB allocated; 27ms collecting garbage

Counts

30 → 114

Calls

Call 1

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

Outputs
(* 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)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))
(* (pow D 2) (* (pow M 2) (* h w0)))
(/ (* (pow M 2) (* h w0)) (* d l))
(* (pow M 2) (* h w0))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (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))))
(/ (* D (* M h)) d)
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* (pow D 2) (pow M 2))
(* -1/4 (/ (* (pow M 2) h) 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)))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
(* (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))))))))
(+ 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)))))))))
(/ (pow D 2) d)
(/ D (* d 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 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(* (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 (+ (* 1/2 (* (/ (* 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)))))
(* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)))
(* 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 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))
(* -1 (* 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)
(/ (+ (* -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)
(* (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))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))

Calls

18 calls:

Time	Variable		Point	Expression
36.0ms	d	@	-inf	((/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d)) (* w0 (sqrt (- 1 (/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d))))) (sqrt (- 1 (/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d)))) (- 1 (/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d))) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (+ (* (* (* D (/ D d)) (/ (* (* (* M M) h) w0) (* l d))) -1/8) w0) (* (* D (/ D d)) (/ (* (* (* M M) h) w0) (* l d))) (* D (/ D d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M D) D) M) (* (* d d) l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* (/ (/ D l) d) D) (* (* (* -1/4 h) M) (/ M d))) 1) (* (* (/ M d) h) D) (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* (* (* (* M M) h) w0) (* D D)) (/ (* (* (* M M) h) w0) (* l d)) (* (* (* M M) h) w0) (/ (* (* (* M D) D) M) (* (* d d) l)) (* (* d d) l) (* (* (* M D) D) M) (/ (/ D l) d) (* (* (* -1/4 h) M) (/ M d)))
12.0ms	M	@	-inf	((/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d)) (* w0 (sqrt (- 1 (/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d))))) (sqrt (- 1 (/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d)))) (- 1 (/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d))) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (+ (* (* (* D (/ D d)) (/ (* (* (* M M) h) w0) (* l d))) -1/8) w0) (* (* D (/ D d)) (/ (* (* (* M M) h) w0) (* l d))) (* D (/ D d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M D) D) M) (* (* d d) l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* (/ (/ D l) d) D) (* (* (* -1/4 h) M) (/ M d))) 1) (* (* (/ M d) h) D) (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* (* (* (* M M) h) w0) (* D D)) (/ (* (* (* M M) h) w0) (* l d)) (* (* (* M M) h) w0) (/ (* (* (* M D) D) M) (* (* d d) l)) (* (* d d) l) (* (* (* M D) D) M) (/ (/ D l) d) (* (* (* -1/4 h) M) (/ M d)))
12.0ms	l	@	-inf	((/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d)) (* w0 (sqrt (- 1 (/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d))))) (sqrt (- 1 (/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d)))) (- 1 (/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d))) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (+ (* (* (* D (/ D d)) (/ (* (* (* M M) h) w0) (* l d))) -1/8) w0) (* (* D (/ D d)) (/ (* (* (* M M) h) w0) (* l d))) (* D (/ D d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M D) D) M) (* (* d d) l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* (/ (/ D l) d) D) (* (* (* -1/4 h) M) (/ M d))) 1) (* (* (/ M d) h) D) (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* (* (* (* M M) h) w0) (* D D)) (/ (* (* (* M M) h) w0) (* l d)) (* (* (* M M) h) w0) (/ (* (* (* M D) D) M) (* (* d d) l)) (* (* d d) l) (* (* (* M D) D) M) (/ (/ D l) d) (* (* (* -1/4 h) M) (/ M d)))
12.0ms	h	@	-inf	((/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d)) (* w0 (sqrt (- 1 (/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d))))) (sqrt (- 1 (/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d)))) (- 1 (/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d))) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (+ (* (* (* D (/ D d)) (/ (* (* (* M M) h) w0) (* l d))) -1/8) w0) (* (* D (/ D d)) (/ (* (* (* M M) h) w0) (* l d))) (* D (/ D d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M D) D) M) (* (* d d) l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* (/ (/ D l) d) D) (* (* (* -1/4 h) M) (/ M d))) 1) (* (* (/ M d) h) D) (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* (* (* (* M M) h) w0) (* D D)) (/ (* (* (* M M) h) w0) (* l d)) (* (* (* M M) h) w0) (/ (* (* (* M D) D) M) (* (* d d) l)) (* (* d d) l) (* (* (* M D) D) M) (/ (/ D l) d) (* (* (* -1/4 h) M) (/ M d)))
10.0ms	M	@	inf	((/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d)) (* w0 (sqrt (- 1 (/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d))))) (sqrt (- 1 (/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d)))) (- 1 (/ (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d))) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (+ (* (* (* D (/ D d)) (/ (* (* (* M M) h) w0) (* l d))) -1/8) w0) (* (* D (/ D d)) (/ (* (* (* M M) h) w0) (* l d))) (* D (/ D d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M D) D) M) (* (* d d) l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* (/ (/ D l) d) D) (* (* (* -1/4 h) M) (/ M d))) 1) (* (* (/ M d) h) D) (/ (* (* (* (/ M d) h) D) (* M D)) (* l 2)) (* (* (* (* M M) h) w0) (* D D)) (/ (* (* (* M M) h) w0) (* l d)) (* (* (* M M) h) w0) (/ (* (* (* M D) D) M) (* (* d d) l)) (* (* d d) l) (* (* (* M D) D) M) (/ (/ D l) d) (* (* (* -1/4 h) M) (/ M d)))

simplify180.0ms (1.6%)

Memory

10.9MiB live, 240.4MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	677	4811
1	2572	4737
0	8543	4576

Stop Event

1×	iter limit
1×	node limit

Counts

114 → 113

Calls

Call 1

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

rewrite196.0ms (1.7%)

Memory

25.3MiB live, 310.9MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	656
0	133	656
1	415	584
2	2985	574
0	9653	574

Stop Event

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

Counts

30 → 530

Calls

Call 1

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

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

eval95.0ms (0.8%)

Memory: -15.5MiB live, 212.2MiB allocated; 41ms collecting garbage
Compiler: Compiled 30 521 to 3 275 computations (89.3% saved)

prune83.0ms (0.7%)

Memory

-12.6MiB live, 130.6MiB allocated; 18ms collecting garbage

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	585	22	607
Fresh	17	15	32
Picked	5	0	5
Done	0	2	2
Total	607	39	646

Accuracy

90.4%

Counts

646 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.4%	(.f64 w0 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (neg.f64 h) (pow.f64 (.f64 M D) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) d) l))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	75.0%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) h) D)) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))))
	80.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 h M) D) (.f64 (.f64 #s(literal 2 binary64) d) l)) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
	80.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 D (.f64 h (/.f64 M d))) D) M) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) #s(literal 2 binary64)) d)))))
	41.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))))) (neg.f64 h))) (.f64 (*.f64 #s(literal -2 binary64) d) l)))))
✓	69.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (.f64 (.f64 M D) (.f64 M D)) (neg.f64 h))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	70.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 D (.f64 M (.f64 (neg.f64 h) (.f64 M D))))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	70.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (neg.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64))) (.f64 (*.f64 #s(literal -2 binary64) d) l))))))
	69.7%	(.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 (*.f64 #s(literal -2 binary64) d) l))))))
	64.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ ( (* (* (/ M d) h) D) (* M D)) (* l 2)) (* 2 d))) (fma.f64 (.f64 (/.f64 #s(literal -1/4 binary64) l) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 D D) d))) h #s(literal 1 binary64)))))
	78.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 M d) (.f64 (.f64 (.f64 (/.f64 (/.f64 D l) d) D) #s(literal -1/4 binary64)) (.f64 h M)) #s(literal 1 binary64)))))
	77.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (/.f64 D l) d) D) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) M) d) #s(literal 1 binary64)))))
	76.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 D (.f64 l d)) D) (.f64 (.f64 (*.f64 #s(literal -1/4 binary64) h) M) (/.f64 M d)) #s(literal 1 binary64)))))
	78.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 M d)) (.f64 (/.f64 D l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
	83.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 M d)) (/.f64 D d)) (/.f64 D l) #s(literal 1 binary64)))))
	70.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M D) D) M) (.f64 (.f64 l d) d)) #s(literal 1 binary64)))))
	74.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 D M) (.f64 d d)) (/.f64 (*.f64 D M) l)) #s(literal 1 binary64)))))
	71.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 M (.f64 (.f64 M D) (/.f64 D (.f64 (.f64 d d) l)))) #s(literal 1 binary64)))))
	15.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
	14.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
	69.7%	(.f64 w0 (exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 (.f64 #s(literal -2 binary64) d) l)))) #s(literal 1/2 binary64))))
	60.7%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( (neg (pow (* D M) 2)) h) (* (* -2 d) l)))) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1 binary64))))
✓	66.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	65.7%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (fma.f64 (.f64 (.f64 D (/.f64 D d)) (.f64 (.f64 (/.f64 M d) M) (/.f64 (*.f64 w0 h) l))) #s(literal -1/8 binary64) w0))
	64.0%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (fma.f64 (.f64 (.f64 D (/.f64 D d)) (.f64 (.f64 M M) (/.f64 (.f64 w0 h) (.f64 l d)))) #s(literal -1/8 binary64) w0))
	14.4%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
	14.5%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #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 (/.f64 D l) D)) (*.f64 d d)) #s(literal -1/8 binary64))))
	14.4%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #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 l d) d)) #s(literal -1/8 binary64))))
	15.5%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 w0 M) (.f64 h M)) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
	16.3%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
	16.4%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 D d) (.f64 D (.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 (/.f64 w0 d) #s(literal -1/8 binary64)))))))
	15.0%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 (.f64 (.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
	14.6%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)) (.f64 (.f64 (*.f64 M M) h) w0)) #s(literal -1/8 binary64))))
	14.4%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) (/.f64 D (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))))
	13.8%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 (.f64 M M) h) (/.f64 (.f64 (.f64 D D) w0) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))))
	14.6%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 w0 (.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
	15.0%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 M M) (.f64 (.f64 w0 h) (.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
	13.8%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))))
	61.0%	#s(approx (* w0 (sqrt (- 1 (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 binary64) w0))

Compiler

Compiled 5 004 to 1 831 computations (63.4% saved)

regimes306.0ms (2.7%)

Memory

30.2MiB live, 551.7MiB allocated; 62ms collecting garbage

Counts

81 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

28.0ms	M
24.0ms	h
22.0ms	l
22.0ms	(*.f64 #s(literal 2 binary64) d)
22.0ms	D

Results

Accuracy	Segments	Branch
86.5%	2	`(/.f64 h l)`
87.2%	2	`(*.f64 #s(literal 2 binary64) d)`
87.3%	2	`(*.f64 M D)`
89.2%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
87.3%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
89.1%	3	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.8%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.8%	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))))`
88.8%	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)))))`
84.8%	1	`w0`
87.3%	2	`M`
84.8%	1	`D`
88.0%	3	`h`
84.8%	1	`l`
87.2%	2	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes52.0ms (0.5%)

Memory

-6.2MiB live, 91.4MiB allocated; 7ms collecting garbage

Counts

74 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

19.0ms

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

15.0ms

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

14.0ms

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

Results

Accuracy	Segments	Branch
88.0%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.0%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
87.4%	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)))))`

Compiler

Compiled 49 to 48 computations (2% saved)

regimes206.0ms (1.8%)

Memory

9.4MiB live, 341.6MiB allocated; 36ms collecting garbage

Counts

53 → 1

Calls

Call 1

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

Outputs

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

Calls

15 calls:

21.0ms	w0
15.0ms	(/.f64 h l)
15.0ms	l
14.0ms	(*.f64 M D)
14.0ms	d

Results

Accuracy	Segments	Branch
84.3%	1	`w0`
84.3%	1	`D`
84.3%	1	`l`
84.3%	1	`h`
84.3%	1	`(/.f64 h l)`
84.3%	1	`(*.f64 #s(literal 2 binary64) d)`
84.3%	1	`d`
84.3%	1	`M`
84.3%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
84.3%	1	`(*.f64 M D)`
84.3%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
84.3%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
84.3%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
84.3%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
84.3%	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))))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes233.0ms (2.1%)

Memory

26.6MiB live, 260.6MiB allocated; 19ms collecting garbage

Counts

52 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

39.0ms	h
32.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
15.0ms	w0
15.0ms	D
13.0ms	d

Results

Accuracy	Segments	Branch
81.9%	2	`(/.f64 h l)`
82.4%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
83.1%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
83.1%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
82.1%	2	`(.f64 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)))))`
79.6%	1	`l`
82.4%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
82.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
79.6%	1	`w0`
82.1%	2	`M`
81.6%	2	`D`
83.5%	3	`(*.f64 #s(literal 2 binary64) d)`
84.3%	3	`(*.f64 M D)`
81.4%	2	`h`
83.5%	3	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes23.0ms (0.2%)

Memory

-4.4MiB live, 41.9MiB allocated; 2ms collecting garbage

Counts

50 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms

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

9.0ms

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

Results

Accuracy	Segments	Branch
83.0%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
83.0%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`

Compiler

Compiled 31 to 31 computations (0% saved)

regimes32.0ms (0.3%)

Memory

10.0MiB live, 55.0MiB allocated; 4ms collecting garbage

Counts

47 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

11.0ms

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

9.0ms

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

9.0ms

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

Results

Accuracy	Segments	Branch
82.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
81.9%	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)))`
81.9%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`

Compiler

Compiled 44 to 44 computations (0% saved)

regimes48.0ms (0.4%)

Memory

-17.5MiB live, 76.1MiB allocated; 11ms collecting garbage

Counts

45 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

12.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
11.0ms	(*.f64 M D)
9.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
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
81.0%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
81.0%	3	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
82.9%	3	`(*.f64 M D)`
82.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 32 to 41 computations (-28.1% saved)

regimes79.0ms (0.7%)

Memory

-0.8MiB live, 143.6MiB allocated; 11ms collecting garbage

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

12.0ms	d
11.0ms	M
11.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
10.0ms	(*.f64 #s(literal 2 binary64) d)
9.0ms	(.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
78.9%	2	`(*.f64 #s(literal 2 binary64) d)`
78.9%	2	`d`
79.0%	2	`(/.f64 h l)`
81.1%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
81.1%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
79.4%	2	`M`
79.7%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
81.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 70 to 88 computations (-25.7% saved)

regimes70.0ms (0.6%)

Memory

18.0MiB live, 110.4MiB allocated; 4ms collecting garbage

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

10.0ms	l
10.0ms	D
9.0ms	h
9.0ms	w0
8.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
79.1%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
79.1%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
70.6%	1	`l`
72.6%	2	`w0`
76.1%	2	`(*.f64 M D)`
70.6%	1	`h`
74.7%	2	`D`
80.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 51 to 75 computations (-47.1% saved)

regimes19.0ms (0.2%)

Memory

-14.5MiB live, 31.9MiB allocated; 2ms collecting garbage

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms

(*.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)))))

8.0ms

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

Results

Accuracy	Segments	Branch
78.8%	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)))))`
79.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 31 to 30 computations (3.2% saved)

regimes77.0ms (0.7%)

Memory

-7.4MiB live, 94.6MiB allocated; 75ms collecting garbage

Counts

34 → 2

Calls

Call 1

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

Outputs

#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (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))

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

Calls

6 calls:

37.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
8.0ms	M
8.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
8.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
7.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
78.7%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
78.7%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
76.1%	2	`M`
77.3%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
77.3%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
79.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 61 to 71 computations (-16.4% saved)

regimes4.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
79.1%	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)

regimes17.0ms (0.1%)

Memory

-19.5MiB live, 27.3MiB allocated; 3ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

3.0ms	(-.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)))
2.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
2.0ms	(/.f64 h l)
2.0ms	(*.f64 #s(literal 2 binary64) d)
2.0ms	d

Results

Accuracy	Segments	Branch
75.6%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
75.6%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
77.0%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
77.0%	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))))`
77.1%	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)))))`
66.6%	1	`(*.f64 #s(literal 2 binary64) d)`
66.6%	1	`d`
66.6%	1	`(/.f64 h l)`
77.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 85 to 103 computations (-21.2% saved)

regimes1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
77.0%	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)

regimes12.0ms (0.1%)

Memory

26.5MiB live, 26.5MiB allocated; 0ms collecting garbage

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:

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

Results

Accuracy	Segments	Branch
66.6%	1	`h`
66.6%	1	`l`
66.6%	1	`w0`
66.6%	1	`D`
66.6%	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)))`
66.6%	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))))`
66.6%	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)))))`
66.6%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
66.6%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
66.6%	1	`(*.f64 M D)`
66.6%	1	`M`
66.6%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 86 to 119 computations (-38.4% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.129381461214719e+144	1.6591458744298055e+156

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	3.1730969308857853e+22

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	3.1730969308857853e+22

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	3.1730969308857853e+22

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0068544132796791e+45	-1.2985678351168744e-41

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8854455443678102e+92	-1.0068544132796791e+45

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8854455443678102e+92	-1.0068544132796791e+45

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.5720336251189395e+127	-3.31113391066786e+114

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch2.0ms (0%)

Memory

-45.8MiB live, 1.1MiB allocated; 2ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.5720336251189395e+127	-3.31113391066786e+114

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.239556663361876e+199	-3.5720336251189395e+127

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.239556663361876e+199	-3.5720336251189395e+127

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.239556663361876e+199	-3.5720336251189395e+127

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.239556663361876e+199	-3.5720336251189395e+127

Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify77.0ms (0.7%)

Memory

11.5MiB live, 58.5MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1103
1	287	1097
2	858	1089
3	6930	1089

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.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))))) #s(literal 4999999999999999945435305910704598063392403130200679472590007732362651199555129074427056403228815030648329464160476949292016380761727168556302336 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 M d)) (/.f64 D d)) (/.f64 D l) #s(literal 1 binary64))))))
(if (<=.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)))) #s(literal 2 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 M d)) (/.f64 D d)) (/.f64 D l) #s(literal 1 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (/.f64 M d) M)) D) l) #s(literal 1 binary64)))))
(if (<=.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)))) #s(literal 2 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 D (.f64 l d)) D) (.f64 (.f64 (*.f64 #s(literal -1/4 binary64) h) M) (/.f64 M d)) #s(literal 1 binary64))))))
(if (<=.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)))) #s(literal 2 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 D M) (.f64 d d)) (/.f64 (*.f64 D M) 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 -999999999999999929757289024535551219930759168 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 (.f64 (/.f64 M d) M) D) (/.f64 D (.f64 d l))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -100000000000000004337729697461918607329029332495193931179177378933611681288968111094132375552 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M D) D) M) (.f64 (.f64 l d) d)) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -100000000000000004337729697461918607329029332495193931179177378933611681288968111094132375552 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 M (.f64 (.f64 M D) (/.f64 D (.f64 (.f64 d d) l)))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -19999999999999999098582133569958947190600450174767048236959251965035770900582349244308780304596114601737544754773898621832134656 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (neg (pow (* D M) 2)) h) (.f64 (.f64 (.f64 M D) (.f64 M D)) (neg.f64 h))) (.f64 (.f64 #s(literal -2 binary64) 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 -19999999999999999098582133569958947190600450174767048236959251965035770900582349244308780304596114601737544754773898621832134656 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (neg (pow (* D M) 2)) h) (.f64 D (.f64 M (.f64 (neg.f64 h) (.f64 M D))))) (.f64 (.f64 #s(literal -2 binary64) 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 -20000000000000001944124809770689306899513456960949883711695315279822601044442678468776355013032015521585513356295347692305208680856860570591457828942442724739900616292977285692626462671120877123272704 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (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)) (.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 -20000000000000001944124809770689306899513456960949883711695315279822601044442678468776355013032015521585513356295347692305208680856860570591457828942442724739900616292977285692626462671120877123272704 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 M (.f64 (.f64 h M) (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 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 -20000000000000001944124809770689306899513456960949883711695315279822601044442678468776355013032015521585513356295347692305208680856860570591457828942442724739900616292977285692626462671120877123272704 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 (.f64 M M) h) (/.f64 (.f64 (.f64 D D) w0) (.f64 (.f64 d d) l))) #s(literal -1/8 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 -20000000000000001944124809770689306899513456960949883711695315279822601044442678468776355013032015521585513356295347692305208680856860570591457828942442724739900616292977285692626462671120877123272704 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (.f64 d d) l))) #s(literal -1/8 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 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #s(literal 4999999999999999945435305910704598063392403130200679472590007732362651199555129074427056403228815030648329464160476949292016380761727168556302336 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 M d)) (/.f64 D d)) (/.f64 D l) #s(literal 1 binary64))))))
(if (<=.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)))) #s(literal 2 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 M d)) (/.f64 D d)) (/.f64 D l) #s(literal 1 binary64))))))
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(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

derivations1.2s (10.7%)

Memory

17.5MiB live, 964.7MiB allocated; 132ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1238	9450
1	4768	9338
0	8276	9029
0	17	69
0	26	69
1	75	69
2	410	69
3	7218	69
0	8457	66
0	63	432
0	108	432
1	319	391
2	2166	391
0	8783	391
0	626	4390
1	2407	4334
0	9499	4188
0	88	656
0	133	656
1	415	584
2	2985	574
0	9653	574
0	84	611
0	133	599
1	432	543
2	2754	543
0	9018	543
0	1607	13524
1	6309	13364
0	8031	12923

Stop Event

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

Compiler

Compiled 1 103 to 187 computations (83% saved)

preprocess1.1s (9.5%)

Memory: -81.3MiB live, 497.2MiB allocated; 1.3s collecting garbage
Remove: (abs d)
Compiler: Compiled 3 610 to 1 146 computations (68.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze709.0ms (6.2%)

sample2.6s (22.5%)

explain186.0ms (1.6%)

preprocess145.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify99.0ms (0.9%)

localize48.0ms (0.4%)

series65.0ms (0.6%)

simplify196.0ms (1.7%)

rewrite158.0ms (1.4%)

eval76.0ms (0.7%)

prune18.0ms (0.2%)

simplify146.0ms (1.3%)

localize380.0ms (3.3%)

series172.0ms (1.5%)

simplify302.0ms (2.7%)

rewrite154.0ms (1.4%)

eval118.0ms (1%)

prune70.0ms (0.6%)

simplify127.0ms (1.1%)

localize258.0ms (2.3%)

series152.0ms (1.3%)

simplify186.0ms (1.6%)

rewrite159.0ms (1.4%)

eval127.0ms (1.1%)

prune57.0ms (0.5%)

simplify127.0ms (1.1%)

localize280.0ms (2.5%)

series180.0ms (1.6%)

simplify180.0ms (1.6%)

rewrite196.0ms (1.7%)

eval95.0ms (0.8%)

prune83.0ms (0.7%)

regimes306.0ms (2.7%)

regimes52.0ms (0.5%)

regimes206.0ms (1.8%)

regimes233.0ms (2.1%)

regimes23.0ms (0.2%)

regimes32.0ms (0.3%)

regimes48.0ms (0.4%)

regimes79.0ms (0.7%)

regimes70.0ms (0.6%)

regimes19.0ms (0.2%)

regimes77.0ms (0.7%)

regimes4.0ms (0%)

regimes17.0ms (0.1%)

regimes1.0ms (0%)

regimes12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify77.0ms (0.7%)

derivations1.2s (10.7%)

preprocess1.1s (9.5%)

end0.0ms (0%)

Profiling