Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze717.0ms (6.5%)

Memory

9.9MiB live, 970.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 20 to 19 computations (5% saved)

sample2.2s (20.2%)

Memory

2.8MiB live, 1 844.3MiB allocated

Samples

1.3s	8 256×	0	valid
347.0ms	2 705×	0	invalid

Precisions

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

ival-mult: 579.0ms (51.3% of total)

ival-div: 248.0ms (22% of total)

ival-pow2: 131.0ms (11.6% of total)

ival-sqrt: 90.0ms (8% of total)

ival-sub: 51.0ms (4.5% of total)

exact: 12.0ms (1.1% of total)

ival-true: 8.0ms (0.7% of total)

adjust: 4.0ms (0.4% of total)

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

Bogosity

explain256.0ms (2.3%)

Memory

24.8MiB live, 312.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
45	-	0	-	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
26	-	4	(-8.718261731097698e-219 -3.3084587927637146e-262 5.120808548989595e-62 -7992205.027053686 -2.3784152421540913e-9 9.199841914578524e-156)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
17	-	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))))`
4	-	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	17	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	59
↳	`(-.f64 #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	47
↳	`(sqrt.f64 (-.f64 #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	30
↳	`(*.f64 M D)`	overflow	23
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	27
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	47
↳	`(/.f64 h l)`	overflow	25
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	9	0
↳	`(*.f64 M D)`	overflow	23
`*.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 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	7	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	59
↳	`(*.f64 M D)`	overflow	23
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	27
↳	`(/.f64 h l)`	underflow	45
`*.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**	4	0

Confusion

	Predicted +	Predicted -
+	29	16
-	11	200

Precision

0.725

Recall

0.6444444444444445

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	29	0	16
-	11	0	200

Precision?

0.725

Recall?

0.6444444444444445

Freqs

test

number	freq
0	216
1	35
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

94.0ms

512×

valid

Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 12.0ms (37.8% of total)

ival-div: 7.0ms (22% of total)

ival-pow2: 5.0ms (15.7% of total)

ival-sqrt: 3.0ms (9.4% of total)

ival-sub: 2.0ms (6.3% of total)

exact: 1.0ms (3.1% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess162.0ms (1.5%)

Memory

-0.9MiB live, 148.3MiB allocated

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.7%	(.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)

simplify129.0ms (1.2%)

Memory

-15.0MiB live, 129.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	26	95
1	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

localize74.0ms (0.7%)

Memory

12.0MiB live, 92.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.959040141067271	(.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	3.9856589704357073	(sqrt.f64 (-.f64 #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	5.793090927874172	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	10.655526650460999	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

38.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 16.0ms (62.6% of total)

ival-div: 3.0ms (11.7% of total)

ival-sqrt: 2.0ms (7.8% of total)

ival-pow2: 2.0ms (7.8% of total)

ival-sub: 1.0ms (3.9% 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)

series121.0ms (1.1%)

Memory

15.5MiB live, 114.3MiB allocated

Counts

5 → 89

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
37.0ms	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)))
31.0ms	w0	@	-inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
5.0ms	M	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms	d	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms	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)))

simplify219.0ms (2%)

Memory

-32.9MiB live, 203.1MiB allocated

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

rewrite662.0ms (6%)

Memory

-125.2MiB live, 211.9MiB allocated

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))))
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(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)))))

eval59.0ms (0.5%)

Memory: -22.6MiB live, 119.6MiB allocated
Compiler: Compiled 15 345 to 2 438 computations (84.1% saved)

prune19.0ms (0.2%)

Memory

6.0MiB live, 53.4MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	409	17	426
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	409	18	427

Accuracy

94.1%

Counts

427 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.6%	(.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 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
▶	74.9%	(.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))))
▶	84.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	77.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)) (*.f64 (neg.f64 l) d)))))
	70.5%	(.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)))))
	73.1%	(.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)))))
	82.4%	(.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)))))
▶	74.2%	(.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)))))
✓	82.7%	(.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)))))
	79.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 M #s(literal 2 binary64)) (.f64 (/.f64 D d) (.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))))))))
	67.3%	(.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 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	68.6%	(.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))))
	59.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.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))))))
	28.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))))
▶	13.7%	(.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))))))
	55.4%	(.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))))
▶	69.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	55.7%	#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 984 to 803 computations (18.4% saved)

simplify101.0ms (0.9%)

Memory

33.5MiB live, 177.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	540
0	97	540
1	196	537
2	677	506
3	5053	505
0	8100	499

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

localize139.0ms (1.3%)

Memory

-19.3MiB live, 263.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.168885768091331	(.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	4.204486571470971	(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	4.9390435160621955	(.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h)
accuracy	8.585000951435344	(/.f64 (.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h) (.f64 (.f64 #s(literal -2 binary64) d) l))
accuracy	2.9141606897229306	(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	3.9853300179437667	(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	5.576272247157002	(.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))
accuracy	9.593153355909957	(.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
accuracy	8.835590358640383	(/.f64 h (*.f64 d d))
accuracy	13.028594613721426	(.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l))
accuracy	14.039802280588622	(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))
accuracy	41.65695294096534	#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))))
accuracy	0.959040141067271	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	19.646013928199466	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	3.9856589704357073	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)) (.f64 (*.f64 #s(literal -2 binary64) d) l))))
accuracy	4.007144671362306	(/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d))
accuracy	4.9390435160621955	(.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64)))
accuracy	6.253116346179334	(/.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)) (.f64 (*.f64 #s(literal -2 binary64) d) l))

Samples

98.0ms	249×	0	valid
3.0ms	7×	0	invalid

Compiler

Compiled 487 to 57 computations (88.3% saved)

Precisions

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

ival-mult: 34.0ms (47.3% of total)

ival-div: 18.0ms (25% of total)

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

ival-sub: 5.0ms (7% of total)

ival-pow2: 5.0ms (7% of total)

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

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

exact: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

series181.0ms (1.6%)

Memory

7.2MiB live, 337.0MiB allocated

Counts

24 → 269

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)) (.f64 (*.f64 #s(literal -2 binary64) d) l))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)) (.f64 (*.f64 #s(literal -2 binary64) d) l))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
(.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))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
(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)))))
#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))))
(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 (.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 h (pow.f64 (.f64 D M) #s(literal 2 binary64)))
(/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d))
(.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l))
(/.f64 h (*.f64 d 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)))
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 (* -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))))
(* 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)))))))))
(* (pow D 2) (* (pow M 2) h))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) d))
(/ (* (pow M 2) h) (* (pow d 2) l))
(* 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)))))))
(* (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)))))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d 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)))))))
(* -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 (+ (* 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)))))))
(+ 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)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(+ 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)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (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 (pow d 2))
(* 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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(+ 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
27.0ms	d	@	0	((/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) 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))) (+ (* (* (/ (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))) (/ (* (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)))) (* h (pow (* D M) 2)) (/ (* h (pow (* D M) 2)) (* -2 d)) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* (/ D 2) (* (/ M d) M)) (* (neg (pow (* D M) 2)) h))
25.0ms	D	@	0	((/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) 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))) (+ (* (* (/ (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))) (/ (* (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)))) (* h (pow (* D M) 2)) (/ (* h (pow (* D M) 2)) (* -2 d)) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* (/ D 2) (* (/ M d) M)) (* (neg (pow (* D M) 2)) h))
16.0ms	M	@	0	((/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) 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))) (+ (* (* (/ (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))) (/ (* (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)))) (* h (pow (* D M) 2)) (/ (* h (pow (* D M) 2)) (* -2 d)) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* (/ D 2) (* (/ M d) M)) (* (neg (pow (* D M) 2)) h))
12.0ms	D	@	inf	((/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) 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))) (+ (* (* (/ (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))) (/ (* (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)))) (* h (pow (* D M) 2)) (/ (* h (pow (* D M) 2)) (* -2 d)) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* (/ D 2) (* (/ M d) M)) (* (neg (pow (* D M) 2)) h))
11.0ms	h	@	inf	((/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) 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))) (+ (* (* (/ (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))) (/ (* (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)))) (* h (pow (* D M) 2)) (/ (* h (pow (* D M) 2)) (* -2 d)) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* (/ D 2) (* (/ M d) M)) (* (neg (pow (* D M) 2)) h))

simplify277.0ms (2.5%)

Memory

57.6MiB live, 363.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1603	13516
1	6292	13356
0	8017	12915

Stop Event

1×	iter limit
1×	node limit

Counts

269 → 268

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

rewrite234.0ms (2.1%)

Memory

1.6MiB live, 285.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	428
0	97	428
1	289	416
2	1875	408
0	8225	408

Stop Event

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

Counts

24 → 393

Calls

Call 1

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

eval89.0ms (0.8%)

Memory: 8.6MiB live, 197.7MiB allocated
Compiler: Compiled 31 526 to 3 749 computations (88.1% saved)

prune34.0ms (0.3%)

Memory

-9.7MiB live, 89.0MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	641	18	659
Fresh	6	6	12
Picked	4	1	5
Done	0	1	1
Total	651	26	677

Accuracy

94.5%

Counts

677 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.4%	(.f64 w0 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 l (*.f64 d #s(literal -2 binary64))))))) #s(literal 1/2 binary64)))
	80.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
▶	80.6%	(.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 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
	74.4%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) M) (/.f64 (neg.f64 h) l))) (/.f64 D d) #s(literal 1 binary64))))
▶	75.6%	(.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 l d))) (/.f64 D d) #s(literal 1 binary64))))
▶	86.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 h (.f64 M D)) (.f64 M D)) (.f64 #s(literal -2 binary64) d)) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	79.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (neg.f64 (.f64 (.f64 d #s(literal 2 binary64)) (.f64 l (*.f64 d #s(literal -2 binary64)))))))))
	82.4%	(.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)))))
▶	63.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (neg.f64 (.f64 (.f64 M M) h)) (.f64 D D))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
✓	82.7%	(.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)))))
	79.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 M #s(literal 2 binary64)) (.f64 (/.f64 D d) (.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))))))))
	73.4%	(.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 l (*.f64 d #s(literal -2 binary64))))))))
	70.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ ( h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) h)) h))))
	67.3%	(.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 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	17.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) (.f64 #s(literal -1/4 binary64) D)) D))))
	16.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) D) (.f64 D (/.f64 h (.f64 d d)))) M) (/.f64 M l)))))
	14.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 (/.f64 h d) (.f64 M M)) (.f64 l d))))))
	17.5%	(.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 (.f64 (/.f64 h (.f64 d d)) M) M) l)))))
	13.7%	(.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 h (/.f64 (.f64 M M) (.f64 (*.f64 d d) l)))))))
	73.4%	(.f64 w0 (exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 l (.f64 d #s(literal -2 binary64)))))) #s(literal 1/2 binary64))))
	55.7%	(.f64 w0 #s(approx (sqrt (- 1 (/ (/ ( h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) 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))))
	64.3%	(.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))))
	55.4%	(.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))))
✓	69.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	53.8%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) 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))
	55.7%	#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 1 522 to 1 206 computations (20.8% saved)

simplify101.0ms (0.9%)

Memory

9.5MiB live, 148.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #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	3	(fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff	0	#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 l d)))
cost-diff	0	(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 l d))) (/.f64 D d) #s(literal 1 binary64))
cost-diff	0	(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 l d))) (/.f64 D d) #s(literal 1 binary64)))
cost-diff	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 l d))) (/.f64 D d) #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (neg (pow (* D M) 2)) h) (.f64 (neg.f64 (.f64 (.f64 M M) h)) (.f64 D D))) (.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 (neg.f64 (.f64 (.f64 M M) h)) (.f64 D D))) (.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 (neg.f64 (.f64 (.f64 M M) h)) (.f64 D D))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
cost-diff	2	(.f64 (neg.f64 (.f64 (.f64 M M) h)) (.f64 D D))
cost-diff	0	(/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l))
cost-diff	0	(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
cost-diff	2	(.f64 (.f64 (.f64 (.f64 M M) h) w0) (*.f64 D D))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 h (.f64 M D)) (.f64 M D)) (.f64 #s(literal -2 binary64) d)) (.f64 (*.f64 #s(literal -2 binary64) d) l))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 h (.f64 M D)) (.f64 M D)) (.f64 #s(literal -2 binary64) d)) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
cost-diff	2	(.f64 (.f64 h (.f64 M D)) (.f64 M D))
cost-diff	2	(/.f64 (/.f64 (.f64 (.f64 h (.f64 M D)) (.f64 M D)) (.f64 #s(literal -2 binary64) d)) (.f64 (*.f64 #s(literal -2 binary64) d) l))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	733
0	124	715
1	259	695
2	1041	679
3	4425	674
0	8787	674

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

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

localize220.0ms (2%)

Memory

-7.2MiB live, 320.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.9147280256116512	(fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy	3.9856589704357073	(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy	5.576272247157002	(.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))
accuracy	9.593153355909957	(.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
accuracy	3.9853300179437667	(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 l d))) (/.f64 D d) #s(literal 1 binary64)))
accuracy	7.671566487567897	(.f64 (.f64 M M) h)
accuracy	7.801357433695748	(.f64 (.f64 (*.f64 M M) h) D)
accuracy	8.447140094125437	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 M M) h) D)) (*.f64 l d))
accuracy	4.204486571470971	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (neg (pow (* D M) 2)) h) (.f64 (neg.f64 (.f64 (.f64 M M) h)) (.f64 D D))) (.f64 (.f64 #s(literal -2 binary64) d) l))))
accuracy	7.671566487567897	(.f64 (.f64 M M) h)
accuracy	8.585000951435344	(/.f64 #s(approx (* (neg (pow (* D M) 2)) h) (.f64 (neg.f64 (.f64 (.f64 M M) h)) (.f64 D D))) (.f64 (.f64 #s(literal -2 binary64) d) l))
accuracy	16.126153846500078	(.f64 (neg.f64 (.f64 (.f64 M M) h)) (.f64 D D))
accuracy	10.29088256275547	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
accuracy	10.902546702365676	(.f64 (.f64 d d) l)
accuracy	12.884721508501821	(/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l))
accuracy	13.395637255396952	(.f64 (.f64 (.f64 (.f64 M M) h) w0) (*.f64 D D))
accuracy	3.9856589704357073	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 h (.f64 M D)) (.f64 M D)) (.f64 #s(literal -2 binary64) d)) (.f64 (*.f64 #s(literal -2 binary64) d) l))))
accuracy	4.007144671362306	(/.f64 (.f64 (.f64 h (.f64 M D)) (.f64 M D)) (*.f64 #s(literal -2 binary64) d))
accuracy	4.421701807840008	(.f64 h (.f64 M D))
accuracy	6.253116346179334	(/.f64 (/.f64 (.f64 (.f64 h (.f64 M D)) (.f64 M D)) (.f64 #s(literal -2 binary64) d)) (.f64 (*.f64 #s(literal -2 binary64) d) l))

Samples

146.0ms	249×	0	valid
12.0ms	7×	0	invalid

Compiler

Compiled 610 to 70 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-mult: 76.0ms (64% of total)

ival-div: 21.0ms (17.7% of total)

ival-sqrt: 8.0ms (6.7% of total)

ival-add: 4.0ms (3.4% of total)

ival-sub: 4.0ms (3.4% of total)

ival-neg: 3.0ms (2.5% of total)

ival-pow2: 3.0ms (2.5% of total)

exact: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

series142.0ms (1.3%)

Memory

-0.3MiB live, 229.3MiB allocated

Counts

28 → 283

Calls

Call 1

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

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))))))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1 (* 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)))
(* (pow D 2) (* (pow M 2) h))
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 (* (pow D 2) (* (pow M 2) h)))
(+ 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))))
(+ 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 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 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)) (* (pow d 2) l))))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(* D (* M h))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) d))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(* (pow M 2) h)
(* D (* (pow M 2) h))
(* 1/2 (/ (* D (pow M 2)) 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)))))))
(* -1/8 (/ (* (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))))))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/2 (/ (* (pow D 2) h) (* d l)))))
(* (/ (* 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)))))))
(* -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))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -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)))))))))
(* -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))))))))
(+ 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)))))))))
(+ 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)))))))))
(* 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) (+ (* -1/8 (/ (* (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)))))
(* 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) (+ (* -1/2 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1 (* 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)))))))))
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(/ (- l (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) d))) 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)) (pow d 2)))) 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 (+ (* -1/4 (/ (* (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 (+ (* -1/4 (/ (* (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 (/ (+ (* 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)))
(+ 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)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* -1/8 (/ (* (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)
(/ (+ (* 1/2 (* (/ (* (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)
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(+ 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
14.0ms	w0	@	-inf	((/ (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* -2 d) l)) (* (* h (* M D)) (* M D)) (* w0 (sqrt (- 1 (/ (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* -2 d) l)))) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (neg (* (* M M) h)) (* D 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))) (* 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)) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1)) (* h (* M D)) (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* d d) l) (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)) (* (* M M) h) (/ (* -1/2 (* (* (* M M) h) D)) (* l d)) (* (* (* M M) h) D) (* (/ D 2) (* (/ M d) M)))
14.0ms	D	@	0	((/ (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* -2 d) l)) (* (* h (* M D)) (* M D)) (* w0 (sqrt (- 1 (/ (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* -2 d) l)))) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (neg (* (* M M) h)) (* D 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))) (* 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)) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1)) (* h (* M D)) (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* d d) l) (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)) (* (* M M) h) (/ (* -1/2 (* (* (* M M) h) D)) (* l d)) (* (* (* M M) h) D) (* (/ D 2) (* (/ M d) M)))
11.0ms	h	@	0	((/ (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* -2 d) l)) (* (* h (* M D)) (* M D)) (* w0 (sqrt (- 1 (/ (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* -2 d) l)))) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (neg (* (* M M) h)) (* D 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))) (* 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)) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1)) (* h (* M D)) (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* d d) l) (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)) (* (* M M) h) (/ (* -1/2 (* (* (* M M) h) D)) (* l d)) (* (* (* M M) h) D) (* (/ D 2) (* (/ M d) M)))
10.0ms	l	@	inf	((/ (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* -2 d) l)) (* (* h (* M D)) (* M D)) (* w0 (sqrt (- 1 (/ (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* -2 d) l)))) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (neg (* (* M M) h)) (* D 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))) (* 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)) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1)) (* h (* M D)) (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* d d) l) (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)) (* (* M M) h) (/ (* -1/2 (* (* (* M M) h) D)) (* l d)) (* (* (* M M) h) D) (* (/ D 2) (* (/ M d) M)))
10.0ms	d	@	-inf	((/ (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* -2 d) l)) (* (* h (* M D)) (* M D)) (* w0 (sqrt (- 1 (/ (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* -2 d) l)))) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (neg (* (* M M) h)) (* D 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))) (* 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)) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1)) (* h (* M D)) (/ (* (* h (* M D)) (* M D)) (* -2 d)) (* (* d d) l) (/ (* (neg (pow (* D M) 2)) h) (* (* -2 d) l)) (* (* M M) h) (/ (* -1/2 (* (* (* M M) h) D)) (* l d)) (* (* (* M M) h) D) (* (/ D 2) (* (/ M d) M)))

simplify206.0ms (1.9%)

Memory

2.5MiB live, 335.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1633	13781
1	6397	13621
0	8061	13170

Stop Event

1×	iter limit
1×	node limit

Counts

283 → 282

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

rewrite271.0ms (2.5%)

Memory

-1.6MiB live, 314.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	554
0	124	544
1	374	520
2	2235	512
0	8110	512

Stop Event

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

Counts

28 → 409

Calls

Call 1

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

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

eval100.0ms (0.9%)

Memory: -12.7MiB live, 217.1MiB allocated
Compiler: Compiled 36 321 to 3 944 computations (89.1% saved)

prune49.0ms (0.4%)

Memory

13.5MiB live, 104.7MiB allocated

Pruning

40 alts after pruning (38 fresh and 2 done)

	Pruned	Kept	Total
New	681	23	704
Fresh	4	15	19
Picked	5	0	5
Done	0	2	2
Total	690	40	730

Accuracy

94.9%

Counts

730 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.8%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (/.f64 M d)) M) (/.f64 D d)) #s(literal 4 binary64)) (/.f64 (neg.f64 h) l) #s(literal 1 binary64))) w0)
	73.4%	(.f64 w0 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 l (*.f64 d #s(literal -2 binary64))))))) #s(literal 1/2 binary64)))
	82.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 M (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))))
	80.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
	74.4%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) M) (/.f64 (neg.f64 h) l))) (/.f64 D d) #s(literal 1 binary64))))
	76.5%	(.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 h) M) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
	77.9%	(.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 D M) h) M)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
	73.0%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 M M) h)) d) (/.f64 D l))) (/.f64 D d) #s(literal 1 binary64))))
	82.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 D h) M) (.f64 M D)) (.f64 #s(literal -2 binary64) d)) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	79.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (neg.f64 (.f64 (.f64 d #s(literal 2 binary64)) (.f64 l (*.f64 d #s(literal -2 binary64)))))))))
▶	87.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 (.f64 D M) h) (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	73.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (.f64 (.f64 (.f64 M M) h) D) (neg.f64 D))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	74.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (.f64 (.f64 D M) h) (neg.f64 (.f64 D M)))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	64.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (neg.f64 (.f64 (.f64 M h) M)) (.f64 D D))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
✓	82.7%	(.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)))))
▶	91.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 (.f64 D M) h) #s(literal -2 binary64)) (.f64 d #s(literal -2 binary64))) (/.f64 (.f64 D (/.f64 M d)) l)))))
	73.4%	(.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 l (*.f64 d #s(literal -2 binary64))))))))
	70.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ ( h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) h)) h))))
	67.3%	(.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 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	17.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) (.f64 #s(literal -1/4 binary64) D)) D))))
	16.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) D) (.f64 D (/.f64 h (.f64 d d)))) M) (/.f64 M l)))))
	14.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 (/.f64 h d) (.f64 M M)) (.f64 l d))))))
	17.5%	(.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 (.f64 (/.f64 h (.f64 d d)) M) M) l)))))
	13.7%	(.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 h (/.f64 (.f64 M M) (.f64 (*.f64 d d) l)))))))
	73.4%	(.f64 w0 (exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 l (.f64 d #s(literal -2 binary64)))))) #s(literal 1/2 binary64))))
	64.3%	(.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))))
	55.4%	(.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))))
✓	69.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	61.7%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) D) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	54.1%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	60.3%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (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))
	48.5%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) w0)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	49.4%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (/.f64 (.f64 h (.f64 (.f64 M M) (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	51.4%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M h) (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	74.7%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (.f64 l d))) #s(literal -1/8 binary64) w0))
	59.3%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (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))
▶	61.2%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) l) (.f64 (/.f64 w0 d) (/.f64 (.f64 (*.f64 M M) h) d))) #s(literal -1/8 binary64) w0))
	64.3%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (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))
▶	60.4%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 w0 (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
▶	11.5%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))

Compiler

Compiled 2 656 to 2 014 computations (24.2% saved)

simplify115.0ms (1%)

Memory

19.1MiB live, 157.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	712
0	117	712
1	256	642
2	1105	640
3	5053	640
0	8296	631

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

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

localize197.0ms (1.8%)

Memory

-13.9MiB live, 267.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.9856589704357073	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 (.f64 D M) h) (.f64 d #s(literal -2 binary64)))) (.f64 (*.f64 #s(literal -2 binary64) d) l))))
accuracy	4.665571654805563	(.f64 (.f64 D M) h)
accuracy	5.163145912381985	(/.f64 (.f64 (.f64 D M) h) (*.f64 d #s(literal -2 binary64)))
accuracy	6.738007566211568	(/.f64 (.f64 (.f64 D M) (/.f64 (.f64 (.f64 D M) h) (.f64 d #s(literal -2 binary64)))) (.f64 (*.f64 #s(literal -2 binary64) d) l))
accuracy	7.683285237567897	(.f64 (.f64 M M) h)
accuracy	8.304889050003744	(/.f64 (*.f64 D D) l)
accuracy	10.29088256275547	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) l) (.f64 (/.f64 w0 d) (/.f64 (.f64 (*.f64 M M) h) d))) #s(literal -1/8 binary64) w0))
accuracy	13.442807837036508	(.f64 (/.f64 (.f64 D D) l) (.f64 (/.f64 w0 d) (/.f64 (.f64 (*.f64 M M) h) d)))
accuracy	8.94178796534658	(.f64 (/.f64 D (.f64 d d)) (/.f64 D l))
accuracy	10.29088256275547	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 w0 (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
accuracy	10.505371730965205	(/.f64 D (*.f64 d d))
accuracy	14.570342721334368	(.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))
accuracy	11.132433713581893	(.f64 (.f64 d d) l)
accuracy	13.375860119611772	(/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l))
accuracy	13.650994010110349	(.f64 (.f64 (.f64 (.f64 M M) h) w0) (*.f64 D D))
accuracy	42.97950585585177	#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	4.665571654805563	(.f64 (.f64 D M) h)
accuracy	5.004783437371544	(*.f64 D (/.f64 M d))
accuracy	5.198168984504266	(/.f64 (/.f64 (.f64 (.f64 D M) h) #s(literal -2 binary64)) (*.f64 d #s(literal -2 binary64)))
accuracy	5.2799136631060195	(/.f64 (*.f64 D (/.f64 M d)) l)

Samples

136.0ms

256×

valid

Compiler

Compiled 612 to 62 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-div: 44.0ms (44.7% of total)

ival-mult: 39.0ms (39.6% of total)

ival-sqrt: 5.0ms (5.1% of total)

ival-add: 4.0ms (4.1% of total)

ival-sub: 4.0ms (4.1% of total)

ival-pow2: 2.0ms (2% 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)

series128.0ms (1.2%)

Memory

-10.8MiB live, 175.6MiB allocated

Counts

30 → 111

Calls

Call 1

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

Calls

18 calls:

Time	Variable		Point	Expression
25.0ms	l	@	inf	((* (/ (/ (* (* D M) h) -2) (* d -2)) (/ (* D (/ M d)) l)) (/ (/ (* (* D M) h) -2) (* d -2)) (- 1 (* (/ (/ (* (* D M) h) -2) (* d -2)) (/ (* D (/ M d)) l))) (* w0 (sqrt (- 1 (* (/ (/ (* (* D M) h) -2) (* d -2)) (/ (* D (/ M d)) l))))) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (/ (* (* (* (* 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) (* (/ D (* d d)) (/ D l))) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (* w0 (* (* (* M M) h) (* (/ D (* d d)) (/ D l)))) -1/8) w0) (* w0 (* (* (* M M) h) (* (/ D (* d d)) (/ D l)))) (* (/ (* D D) l) (* (/ w0 d) (/ (* (* M M) h) d))) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (* (/ (* D D) l) (* (/ w0 d) (/ (* (* M M) h) d))) -1/8) w0) (/ (* D D) l) (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l)) (* (* D M) (/ (* (* D M) h) (* d -2))) (- 1 (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l))) (* w0 (sqrt (- 1 (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l))))) (/ (* D (/ M d)) l) (* D (/ M d)) (* (* D M) h) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* d d) l) (/ D (* d d)) (* (/ D (* d d)) (/ D l)) (* (* M M) h) (/ (* (* D M) h) (* d -2)) (sqrt (- 1 (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l)))))
10.0ms	M	@	0	((* (/ (/ (* (* D M) h) -2) (* d -2)) (/ (* D (/ M d)) l)) (/ (/ (* (* D M) h) -2) (* d -2)) (- 1 (* (/ (/ (* (* D M) h) -2) (* d -2)) (/ (* D (/ M d)) l))) (* w0 (sqrt (- 1 (* (/ (/ (* (* D M) h) -2) (* d -2)) (/ (* D (/ M d)) l))))) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (/ (* (* (* (* 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) (* (/ D (* d d)) (/ D l))) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (* w0 (* (* (* M M) h) (* (/ D (* d d)) (/ D l)))) -1/8) w0) (* w0 (* (* (* M M) h) (* (/ D (* d d)) (/ D l)))) (* (/ (* D D) l) (* (/ w0 d) (/ (* (* M M) h) d))) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (* (/ (* D D) l) (* (/ w0 d) (/ (* (* M M) h) d))) -1/8) w0) (/ (* D D) l) (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l)) (* (* D M) (/ (* (* D M) h) (* d -2))) (- 1 (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l))) (* w0 (sqrt (- 1 (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l))))) (/ (* D (/ M d)) l) (* D (/ M d)) (* (* D M) h) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* d d) l) (/ D (* d d)) (* (/ D (* d d)) (/ D l)) (* (* M M) h) (/ (* (* D M) h) (* d -2)) (sqrt (- 1 (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l)))))
9.0ms	D	@	inf	((* (/ (/ (* (* D M) h) -2) (* d -2)) (/ (* D (/ M d)) l)) (/ (/ (* (* D M) h) -2) (* d -2)) (- 1 (* (/ (/ (* (* D M) h) -2) (* d -2)) (/ (* D (/ M d)) l))) (* w0 (sqrt (- 1 (* (/ (/ (* (* D M) h) -2) (* d -2)) (/ (* D (/ M d)) l))))) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (/ (* (* (* (* 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) (* (/ D (* d d)) (/ D l))) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (* w0 (* (* (* M M) h) (* (/ D (* d d)) (/ D l)))) -1/8) w0) (* w0 (* (* (* M M) h) (* (/ D (* d d)) (/ D l)))) (* (/ (* D D) l) (* (/ w0 d) (/ (* (* M M) h) d))) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (* (/ (* D D) l) (* (/ w0 d) (/ (* (* M M) h) d))) -1/8) w0) (/ (* D D) l) (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l)) (* (* D M) (/ (* (* D M) h) (* d -2))) (- 1 (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l))) (* w0 (sqrt (- 1 (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l))))) (/ (* D (/ M d)) l) (* D (/ M d)) (* (* D M) h) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* d d) l) (/ D (* d d)) (* (/ D (* d d)) (/ D l)) (* (* M M) h) (/ (* (* D M) h) (* d -2)) (sqrt (- 1 (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l)))))
7.0ms	D	@	-inf	((* (/ (/ (* (* D M) h) -2) (* d -2)) (/ (* D (/ M d)) l)) (/ (/ (* (* D M) h) -2) (* d -2)) (- 1 (* (/ (/ (* (* D M) h) -2) (* d -2)) (/ (* D (/ M d)) l))) (* w0 (sqrt (- 1 (* (/ (/ (* (* D M) h) -2) (* d -2)) (/ (* D (/ M d)) l))))) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (/ (* (* (* (* 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) (* (/ D (* d d)) (/ D l))) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (* w0 (* (* (* M M) h) (* (/ D (* d d)) (/ D l)))) -1/8) w0) (* w0 (* (* (* M M) h) (* (/ D (* d d)) (/ D l)))) (* (/ (* D D) l) (* (/ w0 d) (/ (* (* M M) h) d))) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (* (/ (* D D) l) (* (/ w0 d) (/ (* (* M M) h) d))) -1/8) w0) (/ (* D D) l) (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l)) (* (* D M) (/ (* (* D M) h) (* d -2))) (- 1 (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l))) (* w0 (sqrt (- 1 (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l))))) (/ (* D (/ M d)) l) (* D (/ M d)) (* (* D M) h) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* d d) l) (/ D (* d d)) (* (/ D (* d d)) (/ D l)) (* (* M M) h) (/ (* (* D M) h) (* d -2)) (sqrt (- 1 (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l)))))
6.0ms	M	@	-inf	((* (/ (/ (* (* D M) h) -2) (* d -2)) (/ (* D (/ M d)) l)) (/ (/ (* (* D M) h) -2) (* d -2)) (- 1 (* (/ (/ (* (* D M) h) -2) (* d -2)) (/ (* D (/ M d)) l))) (* w0 (sqrt (- 1 (* (/ (/ (* (* D M) h) -2) (* d -2)) (/ (* D (/ M d)) l))))) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (/ (* (* (* (* 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) (* (/ D (* d d)) (/ D l))) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (* w0 (* (* (* M M) h) (* (/ D (* d d)) (/ D l)))) -1/8) w0) (* w0 (* (* (* M M) h) (* (/ D (* d d)) (/ D l)))) (* (/ (* D D) l) (* (/ w0 d) (/ (* (* M M) h) d))) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (+ (* (* (/ (* D D) l) (* (/ w0 d) (/ (* (* M M) h) d))) -1/8) w0) (/ (* D D) l) (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l)) (* (* D M) (/ (* (* D M) h) (* d -2))) (- 1 (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l))) (* w0 (sqrt (- 1 (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l))))) (/ (* D (/ M d)) l) (* D (/ M d)) (* (* D M) h) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* d d) l) (/ D (* d d)) (* (/ D (* d d)) (/ D l)) (* (* M M) h) (/ (* (* D M) h) (* d -2)) (sqrt (- 1 (/ (* (* D M) (/ (* (* D M) h) (* d -2))) (* (* -2 d) l)))))

simplify169.0ms (1.5%)

Memory

41.2MiB live, 356.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	664	4711
1	2533	4655
0	8551	4502

Stop Event

1×	iter limit
1×	node limit

Counts

111 → 110

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

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

rewrite255.0ms (2.3%)

Memory

-7.7MiB live, 385.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	556
0	117	554
1	381	488
2	2477	488
0	8182	488

Stop Event

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

Counts

30 → 1 076

Calls

Call 1

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

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

eval113.0ms (1%)

Memory: 21.3MiB live, 258.3MiB allocated
Compiler: Compiled 36 012 to 4 170 computations (88.4% saved)

prune105.0ms (1%)

Memory

-8.6MiB live, 184.4MiB allocated

Pruning

44 alts after pruning (43 fresh and 1 done)

	Pruned	Kept	Total
New	764	23	787
Fresh	13	20	33
Picked	5	0	5
Done	1	1	2
Total	783	44	827

Accuracy

94.9%

Counts

827 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.8%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (/.f64 M d)) M) (/.f64 D d)) #s(literal 4 binary64)) (/.f64 (neg.f64 h) l) #s(literal 1 binary64))) w0)
	73.4%	(.f64 w0 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 l (*.f64 d #s(literal -2 binary64))))))) #s(literal 1/2 binary64)))
	76.5%	(.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 h) M) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
	77.9%	(.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 D M) h) M)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
	73.0%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 M M) h)) d) (/.f64 D l))) (/.f64 D d) #s(literal 1 binary64))))
	69.7%	(.f64 w0 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (/.f64 (.f64 (/.f64 M d) D) l)) (.f64 (.f64 M D) (/.f64 h (.f64 #s(literal 4 binary64) d)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (neg.f64 (/.f64 (.f64 (/.f64 M d) D) l)) (.f64 (.f64 M D) (/.f64 h (.f64 #s(literal 4 binary64) d)))) (.f64 (neg.f64 (/.f64 (.f64 (/.f64 M d) D) l)) (.f64 (.f64 M D) (/.f64 h (.f64 #s(literal 4 binary64) d))))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 (.f64 (/.f64 M d) D) l)) (.f64 (.f64 M D) (/.f64 h (*.f64 #s(literal 4 binary64) d))))))))))
	82.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 D h) M) (.f64 M D)) (.f64 #s(literal -2 binary64) d)) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	87.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) D) (.f64 h (.f64 M D))) (.f64 l (*.f64 #s(literal 4 binary64) d))))))
	85.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 (.f64 h M) D) (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	73.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (.f64 (.f64 (.f64 M M) h) D) (neg.f64 D))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	74.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (.f64 (.f64 D M) h) (neg.f64 (.f64 D M)))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	64.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (neg.f64 (.f64 (.f64 M h) M)) (.f64 D D))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	88.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) D) l) (.f64 (.f64 M D) (/.f64 h (.f64 #s(literal 4 binary64) d)))))))
	84.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (/.f64 h (.f64 #s(literal 4 binary64) d))) (.f64 l d)) (*.f64 M D)))))
	90.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D (/.f64 (.f64 h M) (.f64 #s(literal 4 binary64) d))) (/.f64 (.f64 D (/.f64 M d)) l)))))
	73.4%	(.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 l (*.f64 d #s(literal -2 binary64))))))))
	67.3%	(.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 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	17.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) (.f64 #s(literal -1/4 binary64) D)) D))))
	16.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) D) (.f64 D (/.f64 h (.f64 d d)))) M) (/.f64 M l)))))
	14.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 (/.f64 h d) (.f64 M M)) (.f64 l d))))))
	17.5%	(.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 (.f64 (/.f64 h (.f64 d d)) M) M) l)))))
	13.7%	(.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 h (/.f64 (.f64 M M) (.f64 (*.f64 d d) l)))))))
	73.4%	(.f64 w0 (exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 l (.f64 d #s(literal -2 binary64)))))) #s(literal 1/2 binary64))))
	64.3%	(.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))))
✓	69.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	66.5%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) w0) (.f64 D D)) (.f64 l d)) #s(literal -1/8 binary64) w0))
	60.3%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (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))
	63.3%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) (.f64 (/.f64 D (.f64 d d)) D)) #s(literal -1/8 binary64) w0))
	59.9%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 w0 d) (.f64 (/.f64 D l) D)) (*.f64 M M)) (/.f64 h d)) #s(literal -1/8 binary64) w0))
	64.3%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (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))
	57.3%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 (.f64 M M) (.f64 (.f64 (.f64 h (/.f64 D l)) (/.f64 D (.f64 d d))) w0)) #s(literal -1/8 binary64) w0))
	67.1%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 w0 (/.f64 (.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 (.f64 M M) h)) D) l)) #s(literal -1/8 binary64) w0))
	54.9%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 w0 (/.f64 (.f64 (.f64 (/.f64 D l) D) (.f64 (.f64 M M) h)) (.f64 d d))) #s(literal -1/8 binary64) w0))
	65.9%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 w0 (.f64 (.f64 (.f64 M M) h) (/.f64 (.f64 (/.f64 D d) D) (.f64 l d)))) #s(literal -1/8 binary64) w0))
	63.4%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 w0 (.f64 (.f64 (.f64 M M) h) (.f64 D (/.f64 D (.f64 (*.f64 d d) l))))) #s(literal -1/8 binary64) w0))
	72.1%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 w0 (.f64 M (.f64 (.f64 h M) (*.f64 (/.f64 D d) (/.f64 (/.f64 D l) d))))) #s(literal -1/8 binary64) w0))
	12.1%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #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))))
	12.3%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
	12.7%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 l d) d)) #s(literal -1/8 binary64))))
	11.4%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) w0)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
	12.3%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 h (.f64 (.f64 M M) (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
	14.4%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #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))))
	15.0%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 D (.f64 (/.f64 D l) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (.f64 (/.f64 w0 d) #s(literal -1/8 binary64)))))))
	12.4%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) #s(approx (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l))))))

Compiler

Compiled 4 803 to 1 825 computations (62% saved)

regimes314.0ms (2.9%)

Memory

30.4MiB live, 539.1MiB allocated

Counts

82 → 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 (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #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 (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 h (.f64 (.f64 M M) (.f64 (.f64 D D) w0))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) w0)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (.f64 l d) d)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #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 (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 w0 (.f64 (.f64 (.f64 M M) h) (.f64 D (/.f64 D (.f64 (*.f64 d d) l))))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (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 (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M h) (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (/.f64 (.f64 h (.f64 (.f64 M M) (.f64 (.f64 D D) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) w0)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (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 (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M h) M) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) D) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(.f64 w0 #s(approx (sqrt (- 1 (/ (/ ( h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 w0 #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 (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) #s(approx (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l))))))
#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 (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 w0 (.f64 (.f64 (.f64 M M) h) (.f64 (/.f64 D (.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 w0 (.f64 (.f64 (.f64 M M) h) (/.f64 (.f64 (/.f64 D d) D) (.f64 l d)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 w0 (/.f64 (.f64 (.f64 (/.f64 D l) D) (.f64 (.f64 M M) h)) (.f64 d d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 w0 (/.f64 (.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 (.f64 M M) h)) D) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 (.f64 M M) (.f64 (.f64 (.f64 h (/.f64 D l)) (/.f64 D (.f64 d d))) w0)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (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 (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l) (.f64 (/.f64 D (.f64 d d)) D)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) d) (/.f64 D (.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) w0) (.f64 D D)) (.f64 l 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 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 M M) (.f64 (*.f64 d d) l)))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (neg.f64 (.f64 (.f64 M M) h)) (.f64 D 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 (neg.f64 (.f64 (.f64 M h) M)) (.f64 D 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 D M) h) (neg.f64 (.f64 D M)))) (.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 (.f64 M M) h) D) (neg.f64 D))) (.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 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 D (.f64 (/.f64 D l) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (.f64 (/.f64 w0 d) #s(literal -1/8 binary64)))))))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 w0 (.f64 M (.f64 (.f64 h M) (*.f64 (/.f64 D d) (/.f64 (/.f64 D l) d))))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 w0 d) (.f64 (/.f64 D l) D)) (*.f64 M M)) (/.f64 h d)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) l) (.f64 (/.f64 w0 d) (/.f64 (.f64 (*.f64 M M) h) 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))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) l)))))
(.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 (/.f64 h d) (.f64 M M)) (.f64 l d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) D) (.f64 D (/.f64 h (.f64 d d)))) M) (/.f64 M l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) (.f64 #s(literal -1/4 binary64) D)) D))))
(.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 D M) h) M)) (*.f64 l d))) (/.f64 D 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 l d))) (/.f64 D 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 h) M) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.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))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (/.f64 h (.f64 #s(literal 4 binary64) d))) (.f64 l d)) (*.f64 M D)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) D) (.f64 h (.f64 M D))) (.f64 l (*.f64 #s(literal 4 binary64) d))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ ( h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) h)) h))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 M M) h)) d) (/.f64 D l))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 (.f64 D M) h) (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 (.f64 h M) D) (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 h (.f64 M D)) (.f64 M D)) (.f64 #s(literal -2 binary64) d)) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 D h) M) (.f64 M D)) (.f64 #s(literal -2 binary64) d)) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
(.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 D (/.f64 (.f64 h M) (.f64 #s(literal 4 binary64) d))) (/.f64 (.f64 D (/.f64 M d)) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) D) l) (.f64 (.f64 M D) (/.f64 h (.f64 #s(literal 4 binary64) d)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) M) (/.f64 (neg.f64 h) l))) (/.f64 D d) #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 (.f64 (.f64 (.f64 D (/.f64 M d)) M) (/.f64 D d)) #s(literal 4 binary64)) (/.f64 (neg.f64 h) l) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 (.f64 D M) h) #s(literal -2 binary64)) (.f64 d #s(literal -2 binary64))) (/.f64 (.f64 D (/.f64 M d)) l)))))
(.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 M #s(literal 2 binary64)) (.f64 (/.f64 D d) (.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 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 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 M (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 l (*.f64 d #s(literal -2 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 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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (neg.f64 (.f64 (.f64 d #s(literal 2 binary64)) (.f64 l (*.f64 d #s(literal -2 binary64)))))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)) (*.f64 (neg.f64 l) d)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
(.f64 w0 (exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 l (.f64 d #s(literal -2 binary64)))))) #s(literal 1/2 binary64))))
(.f64 w0 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (/.f64 (.f64 (/.f64 M d) D) l)) (.f64 (.f64 M D) (/.f64 h (.f64 #s(literal 4 binary64) d)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (neg.f64 (/.f64 (.f64 (/.f64 M d) D) l)) (.f64 (.f64 M D) (/.f64 h (.f64 #s(literal 4 binary64) d)))) (.f64 (neg.f64 (/.f64 (.f64 (/.f64 M d) D) l)) (.f64 (.f64 M D) (/.f64 h (.f64 #s(literal 4 binary64) d))))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 (.f64 (/.f64 M d) D) l)) (.f64 (.f64 M D) (/.f64 h (*.f64 #s(literal 4 binary64) d))))))))))
(.f64 w0 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (/.f64 h (.f64 l (*.f64 d #s(literal -2 binary64))))))) #s(literal 1/2 binary64)))

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

Calls

15 calls:

27.0ms	M
25.0ms	d
23.0ms	h
23.0ms	w0
23.0ms	D

Results

Accuracy	Segments	Branch
91.7%	1	`(/.f64 h l)`
93.4%	2	`(*.f64 #s(literal 2 binary64) d)`
91.7%	1	`(*.f64 M D)`
91.7%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
91.7%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
91.7%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
93.6%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
93.6%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
93.6%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
91.7%	1	`w0`
91.7%	1	`M`
91.7%	1	`D`
91.7%	1	`h`
91.7%	1	`l`
93.4%	2	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes128.0ms (1.2%)

Memory

-21.7MiB live, 120.3MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

39.0ms	(.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)))))
39.0ms	(*.f64 #s(literal 2 binary64) d)
17.0ms	d
16.0ms	(-.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)))
13.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))

Results

Accuracy	Segments	Branch
93.4%	2	`(*.f64 #s(literal 2 binary64) d)`
93.4%	2	`d`
91.7%	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)))`
91.7%	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))))`
91.7%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`

Compiler

Compiled 53 to 62 computations (-17% saved)

regimes272.0ms (2.5%)

Memory

31.8MiB live, 408.6MiB allocated

Counts

66 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

44.0ms	M
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)))))
18.0ms	d
18.0ms	(-.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)))
18.0ms	D

Results

Accuracy	Segments	Branch
91.6%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
91.7%	2	`h`
91.6%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
90.1%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
90.1%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
90.1%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
90.1%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
90.1%	1	`w0`
92.1%	2	`D`
91.7%	2	`l`
90.1%	1	`(/.f64 h l)`
92.1%	2	`(*.f64 M D)`
90.1%	1	`M`
90.1%	1	`(*.f64 #s(literal 2 binary64) d)`
90.1%	1	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes32.0ms (0.3%)

Memory

-1.8MiB live, 44.2MiB allocated

Counts

60 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

14.0ms	D
13.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
90.1%	1	`D`
93.6%	3	`(*.f64 M D)`

Compiler

Compiled 4 to 13 computations (-225% saved)

regimes225.0ms (2%)

Memory

7.4MiB live, 336.5MiB allocated

Counts

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

Outputs

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

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

Calls

15 calls:

18.0ms	D
17.0ms	l
17.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
17.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
16.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
87.8%	1	`(/.f64 h l)`
87.8%	1	`(*.f64 #s(literal 2 binary64) d)`
87.8%	1	`w0`
89.8%	2	`D`
87.8%	1	`d`
87.8%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
90.1%	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)))`
90.1%	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))))`
87.8%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
89.4%	2	`M`
87.8%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
89.4%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
87.8%	1	`l`
87.8%	1	`h`
91.6%	3	`(*.f64 M D)`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes47.0ms (0.4%)

Memory

-37.3MiB live, 61.5MiB allocated

Counts

54 → 3

Calls

Call 1

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

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

Calls

3 calls:

21.0ms

(*.f64 M D)

13.0ms

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

10.0ms

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

Results

Accuracy	Segments	Branch
91.6%	3	`(*.f64 M D)`
89.8%	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)))`
89.8%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

regimes15.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Counts

53 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

12.0ms

(*.f64 M D)

Results

Accuracy	Segments	Branch
91.5%	3	`(*.f64 M D)`

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes190.0ms (1.7%)

Memory

15.1MiB live, 244.9MiB allocated

Counts

50 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

15 calls:

18.0ms	(*.f64 #s(literal 2 binary64) d)
15.0ms	(*.f64 M D)
14.0ms	d
13.0ms	h
12.0ms	D

Results

Accuracy	Segments	Branch
81.1%	3	`h`
84.6%	3	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
82.9%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
80.0%	2	`(/.f64 h l)`
82.1%	3	`(*.f64 #s(literal 2 binary64) d)`
81.6%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
77.9%	1	`w0`
77.9%	1	`l`
82.1%	3	`d`
81.6%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
81.8%	3	`M`
85.3%	4	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
85.3%	4	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
80.2%	2	`D`
83.0%	3	`(*.f64 M D)`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes14.0ms (0.1%)

Memory

-27.4MiB live, 18.2MiB allocated

Counts

45 → 2

Calls

Call 1

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

Outputs

(*.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 (*.f64 (/.f64 h (*.f64 d d)) M) M) l)))))

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
82.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes11.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

42 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
83.9%	3	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes67.0ms (0.6%)

Memory

10.6MiB live, 104.9MiB allocated

Counts

38 → 3

Calls

Call 1

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

Outputs

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

7 calls:

13.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
10.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
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)))))
9.0ms	(*.f64 M D)
8.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
80.7%	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)))))`
82.6%	3	`(*.f64 M D)`
81.1%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
81.1%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
82.3%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
82.3%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
82.7%	3	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 81 to 89 computations (-9.9% saved)

regimes21.0ms (0.2%)

Memory

-19.1MiB live, 25.5MiB allocated

Counts

36 → 2

Calls

Call 1

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

Calls

2 calls:

11.0ms	(.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))

Results

Accuracy	Segments	Branch
81.1%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
81.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes123.0ms (1.1%)

Memory

-8.2MiB live, 134.2MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

(*.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))))

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

Calls

12 calls:

22.0ms	(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))))
19.0ms	(/.f64 h l)
10.0ms	d
8.0ms	(*.f64 #s(literal 2 binary64) d)
8.0ms	D

Results

Accuracy	Segments	Branch
76.7%	2	`(/.f64 h l)`
77.1%	2	`D`
78.4%	2	`M`
77.7%	2	`(*.f64 #s(literal 2 binary64) d)`
77.7%	2	`d`
79.4%	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)))))`
79.4%	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)))`
79.4%	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))))`
78.5%	2	`(*.f64 M D)`
79.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
79.4%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
79.4%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 90 to 122 computations (-35.6% saved)

regimes5.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

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

Outputs

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

4.0ms

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

Results

Accuracy	Segments	Branch
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 13 to 13 computations (0% saved)

regimes15.0ms (0.1%)

Memory

29.2MiB live, 29.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

15 calls:

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	D
1.0ms	w0
1.0ms	(*.f64 #s(literal 2 binary64) d)
1.0ms	h

Results

Accuracy	Segments	Branch
69.5%	1	`(/.f64 h l)`
69.5%	1	`D`
69.5%	1	`(*.f64 #s(literal 2 binary64) d)`
69.5%	1	`d`
69.5%	1	`M`
69.5%	1	`(*.f64 M D)`
69.5%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
69.5%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
69.5%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
69.5%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
69.5%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
69.5%	1	`l`
69.5%	1	`w0`
69.5%	1	`h`
69.5%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0848286027175764e+145	1.1056369863849556e+147

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch12.0ms (0.1%)

Memory

-38.3MiB live, 8.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	1.5548643185839957e+83	3.614378618971919e+83

Samples

5.0ms	48×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 159 to 149 computations (6.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (32.7% of total)

ival-mult: 1.0ms (32.7% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

exact: 0.0ms (0% of total)

ival-pow2: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0265257743116147e-183	4.326739003454557e-183

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.663275618464204e+180	2.4388318573163629e+201
0.0ms	1.304868500637239e-171	2.4193997435474496e-165

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000000002

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.306106556668568e+278	4.922728745218711e+280
0.0ms	1.304868500637239e-171	2.4193997435474496e-165

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.306106556668568e+278	4.922728745218711e+280
0.0ms	1.304868500637239e-171	2.4193997435474496e-165

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-5.668671629813123e+49	-2.0855409685691705e+29
0.0ms	-1.0919663662355938e+304	-3.283729680598564e+284

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.668671629813123e+49	-2.0855409685691705e+29

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-31.85791277568136	-0.02178443033932421
0.0ms	-2.1924766808075797e+280	-1.1189376196111025e+196

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-31.85791277568136	-0.02178443033932421
0.0ms	-2.1924766808075797e+280	-1.1189376196111025e+196

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.392084139987481e+75	8.921936802282972e+80

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-1.0919663662355938e+304

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0919663662355938e+304	-3.283729680598564e+284

Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify63.0ms (0.6%)

Memory

29.6MiB live, 74.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	216	1176
1	355	1173
2	1015	1173
3	5931	1173

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 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688 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 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 (.f64 D M) h) #s(literal -2 binary64)) (.f64 d #s(literal -2 binary64))) (/.f64 (.f64 D (/.f64 M d)) l))))))
(if (<=.f64 d #s(literal 299999999999999995762025635714257174997568068513114702219697020937955715322189185024 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 (.f64 D M) h) #s(literal -2 binary64)) (.f64 d #s(literal -2 binary64))) (/.f64 (.f64 D (/.f64 M d)) l))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D (/.f64 (.f64 h M) (.f64 #s(literal 4 binary64) d))) (/.f64 (.f64 D (/.f64 M d)) l))))))
(if (<=.f64 (.f64 M D) #s(literal 4784065733063811/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D (/.f64 (.f64 h M) (.f64 #s(literal 4 binary64) d))) (/.f64 (.f64 D (/.f64 M d)) l))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) D) l) (.f64 (.f64 M D) (/.f64 h (*.f64 #s(literal 4 binary64) d))))))))
(if (<=.f64 (.f64 M D) #s(literal 1087770609288739/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D (/.f64 (.f64 h M) (.f64 #s(literal 4 binary64) d))) (/.f64 (.f64 D (/.f64 M d)) l))))) (if (<=.f64 (.f64 M D) #s(literal 4999999999999999585553957538234682623031908521243190731280622029050769299023221311090106282452153112010643128183281173566567741558550995545342934233953505409027770327939745014874112 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (/.f64 h (.f64 #s(literal 4 binary64) d))) (.f64 l d)) (.f64 M D))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D (/.f64 (.f64 h M) (.f64 #s(literal 4 binary64) d))) (/.f64 (*.f64 D (/.f64 M d)) l)))))))
(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 1 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 (.f64 D M) h) (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) d) l))))))
(if (<=.f64 (.f64 M D) #s(literal 1087770609288739/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (.f64 M D) #s(literal 500000000000000028986646137480196881632931284272850018302610192825694054359591218473274634784243508355170503009423368216796224091450092122192370027620186909274046412748162341857743352309860015738496128237632014104682468895074680421910417633003749639759411672687264932533616246784 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (/.f64 h (.f64 #s(literal 4 binary64) d))) (.f64 l d)) (.f64 M D))))) (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 M M) h)) d) (/.f64 D l))) (/.f64 D d) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 M D) #s(literal 1087770609288739/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (.f64 M D) #s(literal 500000000000000028986646137480196881632931284272850018302610192825694054359591218473274634784243508355170503009423368216796224091450092122192370027620186909274046412748162341857743352309860015738496128237632014104682468895074680421910417633003749639759411672687264932533616246784 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (/.f64 h (.f64 #s(literal 4 binary64) d))) (.f64 l d)) (.f64 M D))))) #s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 w0 (.f64 M (.f64 (.f64 h M) (*.f64 (/.f64 D d) (/.f64 (/.f64 D l) d))))) #s(literal -1/8 binary64) w0))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 w0 (.f64 M (.f64 (.f64 h M) (.f64 (/.f64 D d) (/.f64 (/.f64 D l) d))))) #s(literal -1/8 binary64) w0)) (if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000003814884920545943501647482485473280 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) (.f64 #s(literal -1/4 binary64) D)) D)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000003814884920545943501647482485473280 binary64)) (.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 (.f64 (/.f64 h (.f64 d d)) M) M) 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 -20000000000000000655644919657241964971414105660429871285266671548818852063947486718558687573448235861076349951636483016374032693538213913919879822025860850422495576084912401316305465447102991929806570978250206012581852027848896713042618971296520092441575713536217102114025294004224 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (fma.f64 (.f64 w0 (.f64 M (.f64 (.f64 h M) (.f64 (/.f64 D d) (/.f64 (/.f64 D l) d))))) #s(literal -1/8 binary64) w0)) (if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20 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 #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 -20000000000000000655644919657241964971414105660429871285266671548818852063947486718558687573448235861076349951636483016374032693538213913919879822025860850422495576084912401316305465447102991929806570978250206012581852027848896713042618971296520092441575713536217102114025294004224 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (neg (pow (* D M) 2)) h) (.f64 (.f64 (.f64 D M) h) (neg.f64 (.f64 D M)))) (.f64 (.f64 #s(literal -2 binary64) d) l))))) (if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20 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 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 10000000000000000470601344959054695891559601407866630764278709534898249531392 binary64)) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (neg (pow (* D M) 2)) h) (.f64 (.f64 (.f64 D M) h) (neg.f64 (.f64 D M)))) (.f64 (.f64 #s(literal -2 binary64) d) l))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) (.f64 w0 #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)))) (.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 -9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #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))))
(.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 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688 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 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 (.f64 D M) h) #s(literal -2 binary64)) (.f64 d #s(literal -2 binary64))) (/.f64 (.f64 D (/.f64 M d)) l))))))
(if (<=.f64 d #s(literal 299999999999999995762025635714257174997568068513114702219697020937955715322189185024 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 (.f64 D M) h) #s(literal -2 binary64)) (.f64 d #s(literal -2 binary64))) (/.f64 (.f64 D (/.f64 M d)) l))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D (/.f64 (.f64 h M) (.f64 #s(literal 4 binary64) d))) (/.f64 (.f64 D (/.f64 M d)) l))))))
(if (<=.f64 (.f64 M D) #s(literal 4784065733063811/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D (/.f64 (.f64 h M) (.f64 #s(literal 4 binary64) d))) (/.f64 (.f64 D (/.f64 M d)) l))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) D) l) (.f64 (.f64 M D) (/.f64 h (*.f64 #s(literal 4 binary64) d))))))))
(if (<=.f64 (.f64 M D) #s(literal 1087770609288739/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D (/.f64 (.f64 h M) (.f64 #s(literal 4 binary64) d))) (/.f64 (.f64 D (/.f64 M d)) l))))) (if (<=.f64 (.f64 M D) #s(literal 4999999999999999585553957538234682623031908521243190731280622029050769299023221311090106282452153112010643128183281173566567741558550995545342934233953505409027770327939745014874112 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (/.f64 h (.f64 #s(literal 4 binary64) d))) (.f64 l d)) (.f64 M D))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D (/.f64 (.f64 h M) (.f64 #s(literal 4 binary64) d))) (/.f64 (*.f64 D (/.f64 M d)) l)))))))
(if (or (<=.f64 (.f64 M D) #s(literal 1087770609288739/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) (not (<=.f64 (.f64 M D) #s(literal 4999999999999999585553957538234682623031908521243190731280622029050769299023221311090106282452153112010643128183281173566567741558550995545342934233953505409027770327939745014874112 binary64)))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D (/.f64 (.f64 h M) (.f64 #s(literal 4 binary64) d))) (/.f64 (.f64 D (/.f64 M d)) l))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (/.f64 h (.f64 #s(literal 4 binary64) d))) (.f64 l d)) (*.f64 M D))))))
(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 1 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 (.f64 D M) h) (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) d) l))))))
(if (<=.f64 (.f64 M D) #s(literal 1087770609288739/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (.f64 M D) #s(literal 500000000000000028986646137480196881632931284272850018302610192825694054359591218473274634784243508355170503009423368216796224091450092122192370027620186909274046412748162341857743352309860015738496128237632014104682468895074680421910417633003749639759411672687264932533616246784 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (/.f64 h (.f64 #s(literal 4 binary64) d))) (.f64 l d)) (.f64 M D))))) (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 M M) h)) d) (/.f64 D l))) (/.f64 D d) #s(literal 1 binary64))))))
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(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) #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))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

derivations1.4s (12.5%)

Memory

33.8MiB live, 1 058.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1633	13781
1	6397	13621
0	8061	13170
0	1603	13516
1	6292	13356
0	8017	12915
0	75	556
0	117	554
1	381	488
2	2477	488
0	8182	488
0	17	69
0	26	69
1	75	69
2	410	69
3	7218	69
0	8457	66
0	77	554
0	124	544
1	374	520
2	2235	512
0	8110	512
0	626	4390
1	2407	4334
0	9499	4188
0	58	428
0	97	428
1	289	416
2	1875	408
0	8225	408

Stop Event

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

Compiler

Compiled 1 176 to 222 computations (81.1% saved)

preprocess197.0ms (1.8%)

Memory

-11.3MiB live, 306.7MiB allocated

Remove

(negabs w0)

(abs d)

Compiler

Compiled 3 300 to 1 038 computations (68.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze717.0ms (6.5%)

sample2.2s (20.2%)

explain256.0ms (2.3%)

preprocess162.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify129.0ms (1.2%)

localize74.0ms (0.7%)

series121.0ms (1.1%)

simplify219.0ms (2%)

rewrite662.0ms (6%)

eval59.0ms (0.5%)

prune19.0ms (0.2%)

simplify101.0ms (0.9%)

localize139.0ms (1.3%)

series181.0ms (1.6%)

simplify277.0ms (2.5%)

rewrite234.0ms (2.1%)

eval89.0ms (0.8%)

prune34.0ms (0.3%)

simplify101.0ms (0.9%)

localize220.0ms (2%)

series142.0ms (1.3%)

simplify206.0ms (1.9%)

rewrite271.0ms (2.5%)

eval100.0ms (0.9%)

prune49.0ms (0.4%)

simplify115.0ms (1%)

localize197.0ms (1.8%)

series128.0ms (1.2%)

simplify169.0ms (1.5%)

rewrite255.0ms (2.3%)

eval113.0ms (1%)

prune105.0ms (1%)

regimes314.0ms (2.9%)

regimes128.0ms (1.2%)

regimes272.0ms (2.5%)

regimes32.0ms (0.3%)

regimes225.0ms (2%)

regimes47.0ms (0.4%)

regimes15.0ms (0.1%)

regimes190.0ms (1.7%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes67.0ms (0.6%)

regimes21.0ms (0.2%)

regimes123.0ms (1.1%)

regimes5.0ms (0%)

regimes15.0ms (0.1%)

bsearch1.0ms (0%)

bsearch12.0ms (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%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify63.0ms (0.6%)

derivations1.4s (12.5%)

preprocess197.0ms (1.8%)

end0.0ms (0%)

Profiling