Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

analyze632.0ms (6.2%)

Memory

0.3MiB live, 712.7MiB allocated; 144ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 20 to 19 computations (5% saved)

sample2.1s (20.8%)

Memory

28.9MiB live, 2 193.0MiB allocated; 238ms collecting garbage

Samples

1.1s	8 256×	0	valid
327.0ms	2 766×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 971.0ms

ival-mult: 422.0ms (43.5% of total)

ival-pow2: 220.0ms (22.7% of total)

ival-div: 164.0ms (16.9% of total)

ival-sqrt: 88.0ms (9.1% of total)

ival-sub: 51.0ms (5.3% of total)

exact: 11.0ms (1.1% of total)

ival-true: 8.0ms (0.8% of total)

ival-assert: 5.0ms (0.5% of total)

adjust: 3.0ms (0.3% of total)

Bogosity

explain279.0ms (2.7%)

Memory

-40.7MiB live, 276.2MiB allocated; 110ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
34	-	1	(-1.2843486658726314e+112 6.001521705711768e-207 7.8959485406800715e-25 6.891608254124626e+106 -1.308844412213059e+68 4.665422976206899e-70)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
27	-	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))))`
21	-	2	(1.185394936467796e-122 -3.904936706588366e-307 2.9546099470784886e-8 -6.2485039208695105e+128 3.1637424224754442e-279 -1.5799607168451257e-114)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
7	-	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	27	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	65
↳	`(-.f64 #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	64
↳	`(sqrt.f64 (-.f64 #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	37
↳	`(*.f64 M D)`	overflow	19
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	32
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	64
↳	`(/.f64 h l)`	overflow	27
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	9	0
`*.f64`	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`	*no**	7	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	5	0
↳	`(*.f64 M D)`	overflow	19
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	65
↳	`(*.f64 M D)`	overflow	19
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	32
↳	`(/.f64 h l)`	underflow	38
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	2	0
↳	`(*.f64 M D)`	underflow	43
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	105
↳	`(*.f64 M D)`	underflow	43
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	53
↳	`(/.f64 h l)`	overflow	27

Confusion

	Predicted +	Predicted -
+	39	8
-	14	195

Precision

0.7358490566037735

Recall

0.8297872340425532

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	39	0	8
-	14	0	195

Precision?

0.7358490566037735

Recall?

0.8297872340425532

Freqs

test

number	freq
0	203
1	51
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

152.0ms

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 (38% of total)

ival-div: 7.0ms (22.2% of total)

ival-pow2: 5.0ms (15.8% of total)

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

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

exact: 1.0ms (3.2% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess161.0ms (1.6%)

Memory

49.3MiB live, 141.8MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	501
1	461	492
2	1413	492
3	4009	492
0	17	18
0	26	18
1	47	18
2	112	18
3	816	18
4	4616	18
5	6521	18
0	8357	18

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 18 to 17 computations (5.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 6 computations (-∞% saved)

prune24.0ms (0.2%)

Memory

-40.5MiB live, 10.6MiB allocated; 4ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.3%	(.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)))))

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify121.0ms (1.2%)

Memory

22.4MiB live, 139.1MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize77.0ms (0.8%)

Memory

28.8MiB live, 128.4MiB allocated; 38ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.7187812826055409	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
accuracy	4.387126064337229	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	6.2972752632828275	(sqrt.f64 (-.f64 #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	8.1778694582819	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

68.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

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

ival-div: 20.0ms (62.8% of total)

ival-mult: 6.0ms (18.8% of total)

ival-pow2: 3.0ms (9.4% of total)

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

ival-sub: 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)

exact: 0.0ms (0% of total)

series151.0ms (1.5%)

Memory

8.8MiB live, 201.2MiB allocated; 107ms collecting garbage

Counts

5 → 89

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
64.0ms	h	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
17.0ms	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)))
13.0ms	l	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
7.0ms	h	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
5.0ms	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)))

simplify196.0ms (1.9%)

Memory

-6.5MiB live, 372.1MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 88

Calls

Call 1

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

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

rewrite127.0ms (1.2%)

Memory

-14.3MiB live, 221.8MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 339

Calls

Call 1

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

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

eval93.0ms (0.9%)

Memory: -11.0MiB live, 128.8MiB allocated; 57ms collecting garbage
Compiler: Compiled 15 345 to 2 438 computations (84.1% saved)

prune15.0ms (0.2%)

Memory

44.2MiB live, 44.1MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

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

Accuracy

89.3%

Counts

427 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.7%	(.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))))
	72.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (*.f64 M M)) (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
	70.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (.f64 (*.f64 d d) l)))))
▶	71.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)))))
	81.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
▶	81.7%	(.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)))))
	72.5%	(.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)))))
✓	82.3%	(.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)))))
▶	82.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))))
▶	66.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	62.9%	(.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))))
	55.7%	(.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))))
▶	65.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	55.6%	#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 706 to 589 computations (16.6% saved)

simplify110.0ms (1.1%)

Memory

-34.6MiB live, 151.9MiB allocated; 29ms collecting garbage

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 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)))))
cost-diff	1	(/.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d))
cost-diff	1	(-.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)))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
cost-diff	3	(.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D))
cost-diff	4	(/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
cost-diff	2	(.f64 (.f64 (*.f64 M M) D) D)
cost-diff	0	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
cost-diff	0	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))))
cost-diff	6	(.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	598
0	107	596
1	221	530
2	851	527
3	7019	527
0	8196	524

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

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

localize159.0ms (1.6%)

Memory

38.8MiB live, 276.1MiB allocated; 30ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.9177742927241455	(.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)))))
accuracy	3.3399800111611353	(/.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d))
accuracy	7.267884181228534	(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))))
accuracy	7.64496716587376	(.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 D M) #s(literal 2 binary64)))
accuracy	3.0985375988534005	(/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))
accuracy	5.7266839369910185	(*.f64 (/.f64 h l) D)
accuracy	6.2972752632828275	(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))))
accuracy	6.791635142657216	(.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))
accuracy	6.2972752632828275	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
accuracy	6.428179522905593	(.f64 (.f64 d d) l)
accuracy	8.280676183957208	(.f64 (.f64 M M) D)
accuracy	12.48431875787456	(/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l))
accuracy	1.7187812826055409	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	22.379956564586294	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	4.900233343544993	(.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))
accuracy	5.943732542084662	(.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))
accuracy	6.2972752632828275	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))
accuracy	7.913150148357946	(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))

Samples

114.0ms	248×	0	valid
3.0ms	8×	0	invalid

Compiler

Compiled 540 to 61 computations (88.7% saved)

Precisions

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

ival-mult: 39.0ms (46.8% of total)

ival-div: 21.0ms (25.2% of total)

ival-sqrt: 10.0ms (12% of total)

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

ival-pow2: 5.0ms (6% of total)

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

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

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

series156.0ms (1.5%)

Memory

-38.3MiB live, 395.5MiB allocated; 47ms collecting garbage

Counts

26 → 187

Calls

Call 1

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

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)) (* 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))))
(* (pow D 2) (pow M 2))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(+ 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)))))))))
(* 1/2 (/ (* D (pow M 2)) d))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* D (pow M 2))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* -1 (/ (* (pow D 2) (* (pow M 2) h)) l))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/2 (/ (* (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)))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))))
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(* 1/2 (/ (* D h) (* d l)))
(/ (* D h) l)
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* 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))))))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/2 (/ (* (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))))))
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(* 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 (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ 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)))))))
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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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(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)
(/ (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(* (pow d 2) l)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) d))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) d))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- 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
19.0ms	l	@	inf	((* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) D) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)) (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)))) (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))) (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d)) (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d)))) (* (/ (/ D d) 2) (/ h l)) (* (/ D 2) (* (/ M d) M)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* M M) D) (* (* d d) l) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (* (/ (neg h) l) (pow (* D M) 2)))
17.0ms	M	@	inf	((* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) D) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)) (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)))) (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))) (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d)) (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d)))) (* (/ (/ D d) 2) (/ h l)) (* (/ D 2) (* (/ M d) M)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* M M) D) (* (* d d) l) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (* (/ (neg h) l) (pow (* D M) 2)))
11.0ms	h	@	-inf	((* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) D) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)) (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)))) (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))) (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d)) (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d)))) (* (/ (/ D d) 2) (/ h l)) (* (/ D 2) (* (/ M d) M)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* M M) D) (* (* d d) l) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (* (/ (neg h) l) (pow (* D M) 2)))
9.0ms	D	@	0	((* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) D) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)) (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)))) (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))) (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d)) (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d)))) (* (/ (/ D d) 2) (/ h l)) (* (/ D 2) (* (/ M d) M)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* M M) D) (* (* d d) l) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (* (/ (neg h) l) (pow (* D M) 2)))
9.0ms	w0	@	0	((* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) D) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)) (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)))) (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))) (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d)) (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d)))) (* (/ (/ D d) 2) (/ h l)) (* (/ D 2) (* (/ M d) M)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* M M) D) (* (* d d) l) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (* (/ (neg h) l) (pow (* D M) 2)))

simplify188.0ms (1.8%)

Memory

10.2MiB live, 293.8MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1199	9102
1	4650	8990
0	8086	8695

Stop Event

1×	iter limit
1×	node limit

Counts

187 → 186

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

Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))) w0)
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))
w0
(+ 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)))))))
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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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(* 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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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/2 (/ (* (pow D 2) h) (* d 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 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
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(* -1 (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h (* d l)))))
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(* -1 (* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
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(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))))
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(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
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(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
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(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))) (*.f64 D D) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))) (*.f64 D D) w0)
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D) #s(literal 1 binary64))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (.f64 D D) #s(literal 1 binary64))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l d))) (*.f64 D D) w0)
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 d d)) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/32 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (.f64 D D)) (pow.f64 (.f64 l d) #s(literal 3 binary64))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l d))) (.f64 D D) w0)
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l d))) (*.f64 D D) #s(literal 1 binary64))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 d d)) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/32 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (.f64 D D)) (pow.f64 (.f64 l d) #s(literal 3 binary64))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l d))) (*.f64 D D) #s(literal 1 binary64))
(* 1/2 (/ (* D h) (* d l)))
(.f64 (.f64 D (/.f64 h (*.f64 l d))) #s(literal 1/2 binary64))
(/ (* D h) l)
(*.f64 D (/.f64 h l))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(.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)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/2 (/ (* (pow M 2) h) (* d l)))))
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(* D (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))
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(* 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)))))))
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(* 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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(* 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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(* 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))))))))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (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))))))))
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(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(.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))))))))
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(* -1 (* D (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ 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))))))))
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(* -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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(* -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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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
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(* 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 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
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(* h (- (/ 1 h) (* 1/2 (/ (* (pow D 2) (pow M 2)) (* d 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 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l)))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (.f64 d (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l (.f64 h d))))) (.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 h d)) #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 h d))))) (.f64 d d) (.f64 (sqrt.f64 (.f64 d (/.f64 h l))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D))) d)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d)
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) l) h)) (.f64 (sqrt.f64 (.f64 d (/.f64 h l))) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (.f64 d (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l (.f64 h d))))) (.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 h d)) #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 h d))))) (.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 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 D #s(literal 6 binary64))) (.f64 (pow.f64 l #s(literal 3 binary64)) d)) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 (.f64 h h) w0)) (*.f64 l l)) #s(literal -1/32 binary64))) (neg.f64 d))) d) #s(literal -1 binary64) w0)
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 h h)) (.f64 (.f64 l l) d)) #s(literal 1/32 binary64) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64))) d) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (.f64 (pow.f64 l #s(literal 3 binary64)) d)) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 h h)) (.f64 l l)) #s(literal -1/32 binary64))) (neg.f64 d))) d) #s(literal -1 binary64) #s(literal 1 binary64))

rewrite161.0ms (1.6%)

Memory

10.7MiB live, 283.2MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	454
0	107	451
1	325	394
2	2286	394
0	8792	394

Stop Event

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

Counts

26 → 449

Calls

Call 1

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

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

eval151.0ms (1.5%)

Memory: 26.1MiB live, 179.1MiB allocated; 132ms collecting garbage
Compiler: Compiled 23 590 to 3 251 computations (86.2% saved)

prune33.0ms (0.3%)

Memory

-27.5MiB live, 72.8MiB allocated; 10ms collecting garbage

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	521	22	543
Fresh	7	1	8
Picked	4	1	5
Done	1	0	1
Total	533	24	557

Accuracy

90.6%

Counts

557 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (neg.f64 h)) (.f64 l (*.f64 #s(literal -2 binary64) d))))))
	79.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 h l) D) (.f64 (neg.f64 M) D))) (.f64 #s(literal -2 binary64) d)))))
▶	84.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 h D)) (.f64 l #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)))))
	81.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 d #s(literal 2 binary64)))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
▶	74.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 M D)) (.f64 M D)) (.f64 #s(literal -2 binary64) d)))))
	59.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 D D)) (.f64 M M)) (.f64 #s(literal -2 binary64) d)))))
	83.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (.f64 h (/.f64 D d))) (.f64 #s(literal 2 binary64) (*.f64 l #s(literal 2 binary64)))))))
	82.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal -4 binary64)) (*.f64 D (/.f64 (neg.f64 M) d))))))
▶	61.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (/ (neg h) l) (pow (* D M) 2)) (* -2 d))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 M M) l)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) h)) h))))
	67.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D l)) (*.f64 d d)) #s(literal 1 binary64)))))
	69.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) #s(literal 1 binary64)))))
	70.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M D) M) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	70.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	68.2%	(.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 D l) (.f64 (.f64 M M) (/.f64 D (*.f64 d d)))) #s(literal 1 binary64)))))
	79.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
	66.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 D D) (*.f64 l d))) #s(literal 1 binary64)))))
▶	72.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
	15.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
	71.2%	(.f64 w0 (exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 h l) (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
	61.2%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( (/ (neg h) l) (pow (* D M) 2)) (* -2 d)))) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1 binary64))))
	55.7%	(.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))))
✓	65.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	54.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	61.2%	#s(approx (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 binary64) w0))

Compiler

Compiled 1 484 to 1 181 computations (20.4% saved)

simplify115.0ms (1.1%)

Memory

25.0MiB live, 159.7MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(approx (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 M M) l)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) h)) h)))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (/ (neg h) l) (pow (* D M) 2)) (* -2 d))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 M M) l)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) h)) h))))
cost-diff	2	(.f64 (/.f64 (.f64 D D) d) (/.f64 (*.f64 M M) l))
cost-diff	2	(.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 M M) l)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) h)) h)
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 M D)) (.f64 M D)) (.f64 #s(literal -2 binary64) d)))))
cost-diff	1	(/.f64 (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 M D)) (.f64 M D)) (*.f64 #s(literal -2 binary64) d))
cost-diff	1	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 M D)) (.f64 M D)) (*.f64 #s(literal -2 binary64) d)))
cost-diff	2	(.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 M D)) (.f64 M D))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
cost-diff	2	(.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (*.f64 d d) l)))
cost-diff	0	(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))
cost-diff	0	#s(approx (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
cost-diff	2	(.f64 (.f64 (.f64 M M) h) (.f64 D D))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 h D)) (.f64 l #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 h D)) (.f64 l #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)))))
cost-diff	2	(.f64 (/.f64 (.f64 (/.f64 M d) (.f64 h D)) (.f64 l #s(literal 2 binary64))) (*.f64 (neg.f64 M) D))
cost-diff	5	(/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 h D)) (.f64 l #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	774
0	135	764
1	305	706
2	1321	679
3	6403	679
4	7618	679
0	8085	669

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

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

localize353.0ms (3.5%)

Memory

30.5MiB live, 441.3MiB allocated; 158ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.267884181228534	(sqrt.f64 #s(approx (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 M M) l)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) h)) h)))
accuracy	7.270467546425995	(/.f64 (*.f64 M M) l)
accuracy	7.799341576442921	(/.f64 (*.f64 D D) d)
accuracy	12.623070646041285	(.f64 (/.f64 (.f64 D D) d) (/.f64 (*.f64 M M) l))
accuracy	1.9177742927241455	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 M D)) (.f64 M D)) (.f64 #s(literal -2 binary64) d)))))
accuracy	3.3399800111611353	(/.f64 (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 M D)) (.f64 M D)) (*.f64 #s(literal -2 binary64) d))
accuracy	7.267884181228534	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 M D)) (.f64 M D)) (*.f64 #s(literal -2 binary64) d))))
accuracy	8.2844027372568	(.f64 (/.f64 (neg.f64 h) l) (.f64 M D))
accuracy	6.2972752632828275	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
accuracy	6.428179522905593	(.f64 (.f64 d d) l)
accuracy	8.280676183957208	(.f64 (.f64 M M) D)
accuracy	12.232777546117463	(/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 d d) l))
accuracy	6.428179522905593	(.f64 (.f64 d d) l)
accuracy	11.870688531248295	(/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l))
accuracy	13.185274610781487	#s(approx (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))
accuracy	14.837719915435946	(.f64 (.f64 (.f64 M M) h) (.f64 D D))
accuracy	3.0985375988534005	(/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 h D)) (.f64 l #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))
accuracy	4.744828484292687	(/.f64 (.f64 (/.f64 M d) (.f64 h D)) (*.f64 l #s(literal 2 binary64)))
accuracy	6.2972752632828275	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 h D)) (.f64 l #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))))
accuracy	7.440177465398062	(.f64 (/.f64 M d) (.f64 h D))

Samples

232.0ms	248×	0	valid
6.0ms	8×	0	invalid

Compiler

Compiled 628 to 83 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-mult: 75.0ms (45.6% of total)

ival-div: 64.0ms (38.9% of total)

ival-sqrt: 8.0ms (4.9% of total)

ival-sub: 6.0ms (3.6% of total)

ival-pow2: 5.0ms (3% of total)

ival-add: 3.0ms (1.8% of total)

ival-neg: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

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

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

series139.0ms (1.4%)

Memory

10.6MiB live, 340.1MiB allocated; 31ms collecting garbage

Counts

30 → 203

Calls

Call 1

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

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)) (* d l))))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (pow D 2) (* (pow M 2) h))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1 (/ (* (pow D 2) (* (pow M 2) h)) l))
(+ 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)))))))))
(/ (* (pow D 2) (pow M 2)) (* d l))
(+ 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)))))))))
(/ (* D (* M h)) d)
(* 1/2 (/ (* D (* M h)) (* d l)))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/ (* D (pow M 2)) (* (pow d 2) l))
(* D (pow M 2))
(* -1 (/ (* D (* M h)) l))
(/ (pow M 2) l)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (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 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) 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))))))))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) h) (* d l))) (/ 1 (pow M 2))))
(* (* 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)))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))))
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(/ (pow D 2) d)
(* 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) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/2 (/ (* (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))))))))
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* d l))) (/ 1 (pow D 2))))
(* 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 (* (/ 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)))))))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
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(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 2) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 3) (pow l 3)))))))))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/2 (/ (* (pow D 2) (pow M 2)) (* d l)))))
(* h (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l)))))))
(* h (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l))))))))
(* h (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l)))))))))
(* h (+ (* -1/2 (/ (* (pow D 2) (pow M 2)) (* d l))) (/ 1 h)))
(* h (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1 (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ h (* d l)))))
(* -1 (* h (+ (* 1/2 (* (/ (* w0 (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ 1 (* d (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* w0 (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (* w0 (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* w0 (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (* w0 (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (* w0 (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ 1 (* d (* h l))))))))))
(* -1 (* h (- (* 1/2 (/ (* (pow D 2) (pow M 2)) (* d l))) (/ 1 h))))
(* -1 (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ h (* d l)))))
(* -1 (* h (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)
(/ (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(/ (+ l (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(* (pow d 2) l)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) d))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) d))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- 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)
(/ (+ d (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l))) 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
20.0ms	M	@	0	((/ (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* -2 d)) (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* -2 d)))) (* (* (* M M) h) (* D D)) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* D (/ (* (* M M) D) (* (* d d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (/ (neg h) l) (* M D)) (* M D)) (- 1 (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d))) (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d)) (* w0 (sqrt (- 1 (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d))))) (* (+ (* (* (/ (* D D) d) (/ (* M M) l)) -1/2) (/ 1 h)) h) (* (/ (* D D) d) (/ (* M M) l)) (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d)))) (* (/ M d) (* h D)) (/ (* (/ M d) (* h D)) (* l 2)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* d d) l) (/ (* (* M M) D) (* (* d d) l)) (* (* M M) D) (* (/ (neg h) l) (* M D)) (sqrt (- 1 (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d)))) (/ (* D D) d) (/ (* M M) l))
9.0ms	D	@	-inf	((/ (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* -2 d)) (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* -2 d)))) (* (* (* M M) h) (* D D)) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* D (/ (* (* M M) D) (* (* d d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (/ (neg h) l) (* M D)) (* M D)) (- 1 (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d))) (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d)) (* w0 (sqrt (- 1 (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d))))) (* (+ (* (* (/ (* D D) d) (/ (* M M) l)) -1/2) (/ 1 h)) h) (* (/ (* D D) d) (/ (* M M) l)) (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d)))) (* (/ M d) (* h D)) (/ (* (/ M d) (* h D)) (* l 2)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* d d) l) (/ (* (* M M) D) (* (* d d) l)) (* (* M M) D) (* (/ (neg h) l) (* M D)) (sqrt (- 1 (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d)))) (/ (* D D) d) (/ (* M M) l))
8.0ms	w0	@	inf	((/ (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* -2 d)) (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* -2 d)))) (* (* (* M M) h) (* D D)) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* D (/ (* (* M M) D) (* (* d d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (/ (neg h) l) (* M D)) (* M D)) (- 1 (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d))) (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d)) (* w0 (sqrt (- 1 (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d))))) (* (+ (* (* (/ (* D D) d) (/ (* M M) l)) -1/2) (/ 1 h)) h) (* (/ (* D D) d) (/ (* M M) l)) (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d)))) (* (/ M d) (* h D)) (/ (* (/ M d) (* h D)) (* l 2)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* d d) l) (/ (* (* M M) D) (* (* d d) l)) (* (* M M) D) (* (/ (neg h) l) (* M D)) (sqrt (- 1 (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d)))) (/ (* D D) d) (/ (* M M) l))
8.0ms	l	@	-inf	((/ (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* -2 d)) (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* -2 d)))) (* (* (* M M) h) (* D D)) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* D (/ (* (* M M) D) (* (* d d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (/ (neg h) l) (* M D)) (* M D)) (- 1 (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d))) (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d)) (* w0 (sqrt (- 1 (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d))))) (* (+ (* (* (/ (* D D) d) (/ (* M M) l)) -1/2) (/ 1 h)) h) (* (/ (* D D) d) (/ (* M M) l)) (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d)))) (* (/ M d) (* h D)) (/ (* (/ M d) (* h D)) (* l 2)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* d d) l) (/ (* (* M M) D) (* (* d d) l)) (* (* M M) D) (* (/ (neg h) l) (* M D)) (sqrt (- 1 (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d)))) (/ (* D D) d) (/ (* M M) l))
8.0ms	d	@	inf	((/ (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* -2 d)) (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (/ M d) (* h D)) (* l 2)) (* (neg M) D)) (* -2 d)))) (* (* (* M M) h) (* D D)) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* D (/ (* (* M M) D) (* (* d d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (/ (neg h) l) (* M D)) (* M D)) (- 1 (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d))) (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d)) (* w0 (sqrt (- 1 (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d))))) (* (+ (* (* (/ (* D D) d) (/ (* M M) l)) -1/2) (/ 1 h)) h) (* (/ (* D D) d) (/ (* M M) l)) (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d)))) (* (/ M d) (* h D)) (/ (* (/ M d) (* h D)) (* l 2)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* d d) l) (/ (* (* M M) D) (* (* d d) l)) (* (* M M) D) (* (/ (neg h) l) (* M D)) (sqrt (- 1 (/ (* (* (/ (neg h) l) (* M D)) (* M D)) (* -2 d)))) (/ (* D D) d) (/ (* M M) l))

simplify224.0ms (2.2%)

Memory

-22.8MiB live, 347.9MiB allocated; 48ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1230	9385
1	4732	9273
0	8187	8965

Stop Event

1×	iter limit
1×	node limit

Counts

203 → 202

Calls

Call 1

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

Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))) w0)
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (*.f64 M M) h) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (.f64 h h) w0) (.f64 M M)) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 M M) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) w0) (.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 M M) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 M M) w0)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h M) (.f64 h M)) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) (.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (.f64 M M) #s(literal 1 binary64))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 (.f64 M M) h) (.f64 D D))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (*.f64 d d) l))
(+ 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 D 2) (* (pow M 2) h)) l))
(/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (neg.f64 l))
(+ 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))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (*.f64 M M) h) l)) #s(literal 1/2 binary64))
(+ w0 (* -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)))))))
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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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(* 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 (* 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 (* w0 (sqrt -1/2)))) (sqrt (/ h (* d l)))))
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(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
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(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))))
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(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
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(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
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(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D) #s(literal 1 binary64))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (.f64 D D) #s(literal 1 binary64))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l d))) (*.f64 D D) w0)
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 d d)) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/32 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (.f64 D D)) (pow.f64 (.f64 l d) #s(literal 3 binary64))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l d))) (.f64 D D) w0)
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l d))) (*.f64 D D) #s(literal 1 binary64))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 d d)) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/32 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (.f64 D D)) (pow.f64 (.f64 l d) #s(literal 3 binary64))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l d))) (*.f64 D D) #s(literal 1 binary64))
(/ (pow D 2) d)
(/.f64 (*.f64 D D) d)
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(.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) (* (pow d 2) l))) (/ 1 (pow D 2))))
(.f64 (fma.f64 (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 D D))) (*.f64 D 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 (pow D 2)) (* 1/2 (/ (* (pow M 2) h) (* d l)))))
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(* D (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))
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(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* d l))) (/ 1 (pow D 2))))
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(* 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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(* 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 (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
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(* -1 (* D (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ 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))))))))
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(* -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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(* -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))))) (+ (* 1/16 (* (/ 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 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
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(* 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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(/ (+ (* (* 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 h d))) (.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 h d)) #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 h d))))) (.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 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)
(/.f64 (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal -1/2 binary64) 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 h d))) (.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 h d)) #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 h d))))) (.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 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 D #s(literal 6 binary64))) (.f64 (pow.f64 l #s(literal 3 binary64)) d)) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 (.f64 h h) w0)) (*.f64 l l)) #s(literal -1/32 binary64))) (neg.f64 d))) d) #s(literal -1 binary64) w0)
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 h h)) (.f64 (.f64 l l) d)) #s(literal 1/32 binary64) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64))) d) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (.f64 (pow.f64 l #s(literal 3 binary64)) d)) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 h h)) (.f64 l l)) #s(literal -1/32 binary64))) (neg.f64 d))) d) #s(literal -1 binary64) #s(literal 1 binary64))

rewrite222.0ms (2.2%)

Memory

34.4MiB live, 323.1MiB allocated; 73ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	575
0	135	557
1	459	515
2	3211	510
0	10610	507

Stop Event

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

Counts

30 → 424

Calls

Call 1

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

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

eval114.0ms (1.1%)

Memory: -3.8MiB live, 183.6MiB allocated; 20ms collecting garbage
Compiler: Compiled 28 989 to 3 756 computations (87% saved)

prune44.0ms (0.4%)

Memory

-24.0MiB live, 118.8MiB allocated; 13ms collecting garbage

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	605	27	632
Fresh	13	5	18
Picked	5	0	5
Done	0	1	1
Total	623	33	656

Accuracy

91.1%

Counts

656 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 D M) (.f64 (.f64 (neg.f64 h) M) D)) l) (.f64 #s(literal -2 binary64) d)))))
	87.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 M d) D) h) (.f64 l #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)))))
▶	82.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 h M) D) (.f64 d (.f64 #s(literal 2 binary64) l))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
	75.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 h (.f64 D M)) (neg.f64 l)) (.f64 M D)) (.f64 #s(literal -2 binary64) d)))))
	69.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (neg.f64 h) l) M) (.f64 D (.f64 D M))) (.f64 #s(literal -2 binary64) d)))))
▶	88.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) D) h) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (.f64 #s(literal 2 binary64) l)))))
▶	75.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (neg.f64 h) (/.f64 (.f64 D M) l)) (.f64 M D)) (.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 M d)) #s(literal -4 binary64)) (*.f64 D (/.f64 (neg.f64 M) d))))))
	83.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (neg.f64 M) (.f64 (/.f64 (*.f64 h (/.f64 M d)) #s(literal 2 binary64)) (/.f64 D l))) d) (/.f64 D #s(literal -2 binary64))))))
	82.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 M) (.f64 (/.f64 (.f64 h (/.f64 M d)) #s(literal 2 binary64)) (/.f64 D l))) (/.f64 D (.f64 #s(literal -2 binary64) d))))))
	74.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D M) (/.f64 (.f64 (.f64 D M) (/.f64 h l)) (.f64 #s(literal 2 binary64) d))))))
	79.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
	70.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 M M) (/.f64 D l)) (*.f64 d d))) #s(literal 1 binary64)))))
	76.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) #s(literal 1 binary64)))))
	86.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 D (/.f64 M d)) M) (*.f64 l d))) #s(literal 1 binary64)))))
	76.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 D M) M) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
	79.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (.f64 (/.f64 M (.f64 d d)) (/.f64 (*.f64 D M) l))) #s(literal 1 binary64)))))
	78.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (.f64 M (/.f64 (.f64 D M) (.f64 (.f64 d d) l)))) #s(literal 1 binary64)))))
	15.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
	71.2%	(.f64 w0 (exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 h l) (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
	73.4%	(.f64 w0 (exp.f64 (.f64 (log.f64 #s(approx (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))) (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) l) #s(literal -1/2 binary64)) d) h #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
	61.2%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( (/ (neg h) l) (pow (* D M) 2)) (* -2 d)))) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1 binary64))))
✓	65.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	57.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 l d) d)) #s(literal 1 binary64))))
	56.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	74.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))
	62.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 (.f64 D D) h) (*.f64 l d))) #s(literal 1 binary64))))
▶	69.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 D d) D) (/.f64 (.f64 (.f64 M M) h) (*.f64 l d))) #s(literal 1 binary64))))
	68.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
	55.9%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
	68.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 M (.f64 (.f64 h M) (.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
▶	13.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
	61.2%	#s(approx (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 binary64) w0))

Compiler

Compiled 2 184 to 1 703 computations (22% saved)

simplify175.0ms (1.7%)

Memory

3.7MiB live, 236.4MiB allocated; 50ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	790
0	131	786
1	284	780
2	1238	754
3	5682	754
0	9082	751

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

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

localize189.0ms (1.9%)

Memory

25.6MiB live, 296.1MiB allocated; 46ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.0985375988534005	(/.f64 (.f64 (/.f64 (.f64 (.f64 h M) D) (.f64 d (.f64 #s(literal 2 binary64) l))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))
accuracy	5.330128301249432	(.f64 (.f64 h M) D)
accuracy	6.2972752632828275	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 h M) D) (.f64 d (.f64 #s(literal 2 binary64) l))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))
accuracy	10.226337039492547	(/.f64 (.f64 (.f64 h M) D) (.f64 d (.f64 #s(literal 2 binary64) l)))
accuracy	3.3399800111611353	(/.f64 (.f64 (.f64 (neg.f64 h) (/.f64 (.f64 D M) l)) (.f64 M D)) (*.f64 #s(literal -2 binary64) d))
accuracy	4.76704302257629	(/.f64 (*.f64 D M) l)
accuracy	4.940245108579876	(.f64 (neg.f64 h) (/.f64 (.f64 D M) l))
accuracy	7.267884181228534	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (neg.f64 h) (/.f64 (.f64 D M) l)) (.f64 M D)) (*.f64 #s(literal -2 binary64) d))))
accuracy	5.9743568453529905	(.f64 (.f64 M M) h)
accuracy	9.592141506386755	(.f64 (.f64 (/.f64 D d) D) (/.f64 (.f64 (.f64 M M) h) (*.f64 l d)))
accuracy	9.688155225259482	(/.f64 (.f64 (.f64 M M) h) (*.f64 l d))
accuracy	13.185274610781487	#s(approx (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 D d) D) (/.f64 (.f64 (.f64 M M) h) (*.f64 l d))) #s(literal 1 binary64)))
accuracy	11.870688531248295	(/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l))
accuracy	13.185274610781487	#s(approx (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)))))
accuracy	14.837719915435946	(.f64 (.f64 (.f64 M M) h) (.f64 D D))
accuracy	37.734652796056366	#s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))
accuracy	3.887734024439776	(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)
accuracy	4.42133195867145	(.f64 (.f64 (/.f64 M d) D) h)
accuracy	5.559910430264994	(*.f64 (/.f64 M d) D)
accuracy	6.2972752632828275	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) D) h) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (*.f64 #s(literal 2 binary64) l))))

Samples

129.0ms	248×	0	valid
4.0ms	8×	0	invalid

Compiler

Compiled 661 to 70 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 61.0ms (61.1% of total)

ival-div: 22.0ms (22% of total)

ival-sqrt: 6.0ms (6% of total)

ival-sub: 5.0ms (5% of total)

ival-add: 2.0ms (2% of total)

ival-neg: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series106.0ms (1%)

Memory

7.4MiB live, 206.3MiB allocated; 18ms collecting garbage

Counts

31 → 196

Calls

Call 1

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

Outputs
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(* 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
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1
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (- 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
10.0ms	D	@	0	((/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l)) (* w0 (sqrt (- 1 (/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l))))) (sqrt (- 1 (/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l)))) (- 1 (/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (+ (* -1/8 (* (* (/ D d) D) (/ (* (* M M) h) (* l d)))) 1) (* (* (/ D d) D) (/ (* (* M M) h) (* l d))) (- 1 (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d))) (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d)) (* w0 (sqrt (- 1 (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d)))) (/ (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* -2 d)) (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* -2 d)))) (* (/ M d) D) (* (* (/ M d) D) h) (* (/ (/ D d) 2) M) (* (* (* M M) h) (* D D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (/ (* (* M M) h) (* l d)) (* (* M M) h) (* (neg h) (/ (* D M) l)) (/ (* D M) l) (/ (* (* h M) D) (* d (* 2 l))) (* (* h M) D))
9.0ms	h	@	-inf	((/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l)) (* w0 (sqrt (- 1 (/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l))))) (sqrt (- 1 (/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l)))) (- 1 (/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (+ (* -1/8 (* (* (/ D d) D) (/ (* (* M M) h) (* l d)))) 1) (* (* (/ D d) D) (/ (* (* M M) h) (* l d))) (- 1 (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d))) (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d)) (* w0 (sqrt (- 1 (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d)))) (/ (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* -2 d)) (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* -2 d)))) (* (/ M d) D) (* (* (/ M d) D) h) (* (/ (/ D d) 2) M) (* (* (* M M) h) (* D D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (/ (* (* M M) h) (* l d)) (* (* M M) h) (* (neg h) (/ (* D M) l)) (/ (* D M) l) (/ (* (* h M) D) (* d (* 2 l))) (* (* h M) D))
6.0ms	M	@	-inf	((/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l)) (* w0 (sqrt (- 1 (/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l))))) (sqrt (- 1 (/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l)))) (- 1 (/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (+ (* -1/8 (* (* (/ D d) D) (/ (* (* M M) h) (* l d)))) 1) (* (* (/ D d) D) (/ (* (* M M) h) (* l d))) (- 1 (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d))) (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d)) (* w0 (sqrt (- 1 (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d)))) (/ (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* -2 d)) (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* -2 d)))) (* (/ M d) D) (* (* (/ M d) D) h) (* (/ (/ D d) 2) M) (* (* (* M M) h) (* D D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (/ (* (* M M) h) (* l d)) (* (* M M) h) (* (neg h) (/ (* D M) l)) (/ (* D M) l) (/ (* (* h M) D) (* d (* 2 l))) (* (* h M) D))
6.0ms	d	@	inf	((/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l)) (* w0 (sqrt (- 1 (/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l))))) (sqrt (- 1 (/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l)))) (- 1 (/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (+ (* -1/8 (* (* (/ D d) D) (/ (* (* M M) h) (* l d)))) 1) (* (* (/ D d) D) (/ (* (* M M) h) (* l d))) (- 1 (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d))) (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d)) (* w0 (sqrt (- 1 (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d)))) (/ (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* -2 d)) (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* -2 d)))) (* (/ M d) D) (* (* (/ M d) D) h) (* (/ (/ D d) 2) M) (* (* (* M M) h) (* D D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (/ (* (* M M) h) (* l d)) (* (* M M) h) (* (neg h) (/ (* D M) l)) (/ (* D M) l) (/ (* (* h M) D) (* d (* 2 l))) (* (* h M) D))
6.0ms	M	@	inf	((/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l)) (* w0 (sqrt (- 1 (/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l))))) (sqrt (- 1 (/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l)))) (- 1 (/ (* (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (+ (* -1/8 (* (* (/ D d) D) (/ (* (* M M) h) (* l d)))) 1) (* (* (/ D d) D) (/ (* (* M M) h) (* l d))) (- 1 (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d))) (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d)) (* w0 (sqrt (- 1 (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (neg h) (/ (* D M) l)) (* M D)) (* -2 d)))) (/ (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* -2 d)) (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (* h M) D) (* d (* 2 l))) (* (neg M) D)) (* -2 d)))) (* (/ M d) D) (* (* (/ M d) D) h) (* (/ (/ D d) 2) M) (* (* (* M M) h) (* D D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (/ (* (* M M) h) (* l d)) (* (* M M) h) (* (neg h) (/ (* D M) l)) (/ (* D M) l) (/ (* (* h M) D) (* d (* 2 l))) (* (* h M) D))

simplify222.0ms (2.2%)

Memory

0.8MiB live, 299.6MiB allocated; 136ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1213	9258
1	4693	9146
0	8144	8846

Stop Event

1×	iter limit
1×	node limit

Counts

196 → 195

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)) (* 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))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(+ 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)))))))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(/ (* D M) d)
(/ (* D (* M h)) d)
(* 1/2 (/ (* D M) d))
(* (pow D 2) (* (pow M 2) h))
(/ (* (pow M 2) h) (* d l))
(* (pow M 2) h)
(* -1 (/ (* D (* M h)) l))
(/ (* D M) l)
(* 1/2 (/ (* D (* M h)) (* d l)))
(* D (* M h))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (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)))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))))
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (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 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* -1 (* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* -1 (* D (+ (* -1/8 (* (/ w0 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))))
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 2) (pow l 2)))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 2) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 3) (pow l 3)))))))))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
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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))))) (+ (* 1/16 (* (/ 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)))))))
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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
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(* -1 (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ h (* d l)))))
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(/ (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d)))) l)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
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(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
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Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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w0
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1
#s(literal 1 binary64)
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(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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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(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (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)))))))
(.f64 (neg.f64 M) (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))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
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(* -1 (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h (* d l)))))
(.f64 (neg.f64 D) (.f64 (sqrt.f64 (/.f64 h (.f64 l d))) (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M)))
(* -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)))))))
(.f64 (neg.f64 M) (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))))))
(* -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))))))))
(.f64 (neg.f64 M) (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)))))))
(* -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)))))))))
(.f64 (neg.f64 M) (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))))))))
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
(.f64 (neg.f64 D) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) (sqrt.f64 (/.f64 h (.f64 l d)))))
(* -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 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) D) (sqrt.f64 (/.f64 h (.f64 l 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 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) D) (sqrt.f64 (/.f64 h (.f64 l 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 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) D) (sqrt.f64 (/.f64 h (*.f64 l 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)) (* 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) (+ (* -1/8 (/ (* (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 -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 D D))) (*.f64 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 (* (/ 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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(* 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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(* 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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(* 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 -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
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(* -1 (* D (+ (* 1/2 (* (/ w0 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ 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))))))))
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(* -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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(* -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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(* 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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(/.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 h d))) (.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 h d)) #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 h d))))) (.f64 d d) (.f64 (sqrt.f64 (.f64 d (/.f64 h l))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D))) d)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d)
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) l) h)) (.f64 (sqrt.f64 (.f64 d (/.f64 h l))) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (.f64 d (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l (.f64 h d))))) (.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 h d)) #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 h d))))) (.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 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 D #s(literal 6 binary64))) (.f64 (pow.f64 l #s(literal 3 binary64)) d)) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 (.f64 h h) w0)) (*.f64 l l)) #s(literal -1/32 binary64))) (neg.f64 d))) d) #s(literal -1 binary64) w0)
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 h h)) (.f64 (.f64 l l) d)) #s(literal 1/32 binary64) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64))) d) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (.f64 (pow.f64 l #s(literal 3 binary64)) d)) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 h h)) (.f64 l l)) #s(literal -1/32 binary64))) (neg.f64 d))) d) #s(literal -1 binary64) #s(literal 1 binary64))

rewrite168.0ms (1.6%)

Memory

-26.5MiB live, 204.4MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	623
0	131	620
1	386	606
2	2776	554
0	8151	554

Stop Event

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

Counts

31 → 747

Calls

Call 1

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

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

eval117.0ms (1.1%)

Memory: 22.0MiB live, 161.2MiB allocated; 20ms collecting garbage
Compiler: Compiled 35 998 to 4 479 computations (87.6% saved)

prune68.0ms (0.7%)

Memory

-16.1MiB live, 129.1MiB allocated; 10ms collecting garbage

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	756	16	772
Fresh	8	19	27
Picked	4	1	5
Done	0	1	1
Total	768	37	805

Accuracy

91.1%

Counts

805 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 h M) D) (.f64 D M)) (.f64 (.f64 l d) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) d)))))
	74.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 D M) (.f64 (.f64 (neg.f64 h) M) D)) l) (.f64 #s(literal -2 binary64) d)))))
	89.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) D) h) (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d))) (*.f64 #s(literal 2 binary64) l)))))
	88.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) D) h) (.f64 (neg.f64 M) (/.f64 D (.f64 #s(literal -2 binary64) d)))) (*.f64 #s(literal 2 binary64) l)))))
	73.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 (neg.f64 M) D)) (.f64 D M)) (.f64 l (*.f64 #s(literal -2 binary64) d))))))
	83.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (neg.f64 M) (.f64 (/.f64 (*.f64 h (/.f64 M d)) #s(literal 2 binary64)) (/.f64 D l))) d) (/.f64 D #s(literal -2 binary64))))))
	82.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 M) (.f64 (/.f64 (.f64 h (/.f64 M d)) #s(literal 2 binary64)) (/.f64 D l))) (/.f64 D (.f64 #s(literal -2 binary64) d))))))
	83.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 M) D) (/.f64 (.f64 (/.f64 h (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 M l) D)) (*.f64 #s(literal -2 binary64) d))))))
	73.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D M) (/.f64 (.f64 (.f64 (neg.f64 h) D) (/.f64 M l)) (.f64 #s(literal -2 binary64) d))))))
	74.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 D M) (/.f64 (.f64 (.f64 D M) (/.f64 h l)) (.f64 #s(literal 2 binary64) d))))))
	15.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (* (* (/ M d) D) h) (* (/ (/ D d) 2) M)) (* 2 l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
	79.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
	70.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 M M) (/.f64 D l)) (*.f64 d d))) #s(literal 1 binary64)))))
	76.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) #s(literal 1 binary64)))))
	86.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 D (/.f64 M d)) M) (*.f64 l d))) #s(literal 1 binary64)))))
	76.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 D M) M) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
	79.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (.f64 (/.f64 M (.f64 d d)) (/.f64 (*.f64 D M) l))) #s(literal 1 binary64)))))
	78.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (.f64 M (/.f64 (.f64 D M) (.f64 (.f64 d d) l)))) #s(literal 1 binary64)))))
	77.1%	(.f64 w0 (exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 (.f64 (.f64 h M) D) l) (/.f64 (.f64 D (/.f64 M d)) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
	71.2%	(.f64 w0 (exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 h l) (/.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
	61.2%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( (/ (neg h) l) (pow (* D M) 2)) (* -2 d)))) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1 binary64))))
✓	65.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	57.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 l d) d)) #s(literal 1 binary64))))
	74.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))
	70.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 D d) D) (/.f64 (.f64 (.f64 h M) M) (*.f64 l d))) #s(literal 1 binary64))))
✓	69.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 D d) D) (/.f64 (.f64 (.f64 M M) h) (*.f64 l d))) #s(literal 1 binary64))))
	71.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 D d) D) (.f64 (/.f64 h l) (.f64 (/.f64 M d) M))) #s(literal 1 binary64))))
	73.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 D d) D) (.f64 (/.f64 M l) (.f64 h (/.f64 M d)))) #s(literal 1 binary64))))
	72.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 D d) D) (.f64 M (/.f64 (.f64 h M) (*.f64 l d)))) #s(literal 1 binary64))))
	73.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (/.f64 (/.f64 h d) l) (.f64 M M)) (/.f64 D d)) D) #s(literal 1 binary64))))
	68.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
	55.9%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
	68.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 M (.f64 (.f64 h M) (.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
	15.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (.f64 (.f64 (.f64 (.f64 (/.f64 D d) D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) (/.f64 h d)))))
	14.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (*.f64 d d) l))))))
	18.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) l))))))
	61.2%	#s(approx (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 binary64) w0))

Compiler

Compiled 3 915 to 1 596 computations (59.2% saved)

regimes321.0ms (3.1%)

Memory

20.3MiB live, 489.9MiB allocated; 53ms collecting garbage

Counts

79 → 1

Calls

Call 1

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

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

Calls

15 calls:

52.0ms	w0
25.0ms	(.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)))))
23.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
21.0ms	M
21.0ms	h

Results

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

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes206.0ms (2%)

Memory

13.3MiB live, 342.0MiB allocated; 32ms collecting garbage

Counts

55 → 1

Calls

Call 1

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

Outputs

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

Calls

15 calls:

18.0ms	w0
16.0ms	d
16.0ms	(*.f64 #s(literal 2 binary64) d)
15.0ms	D
14.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
86.5%	1	`(*.f64 #s(literal 2 binary64) d)`
86.5%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.5%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
86.5%	1	`M`
86.5%	1	`D`
86.5%	1	`l`
86.5%	1	`d`
86.5%	1	`(/.f64 h l)`
86.5%	1	`(*.f64 M D)`
86.5%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
86.5%	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)))`
86.5%	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))))`
86.5%	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)))))`
86.5%	1	`w0`
86.5%	1	`h`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes216.0ms (2.1%)

Memory

-3.5MiB live, 232.0MiB allocated; 30ms collecting garbage

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

37.0ms	(.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)))))
35.0ms	(*.f64 #s(literal 2 binary64) d)
17.0ms	(/.f64 h l)
13.0ms	w0
12.0ms	h

Results

Accuracy	Segments	Branch
85.2%	3	`(*.f64 #s(literal 2 binary64) d)`
85.0%	3	`(*.f64 M D)`
84.8%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
83.2%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
82.1%	2	`w0`
83.2%	2	`D`
85.2%	3	`d`
81.4%	2	`(/.f64 h l)`
84.3%	3	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
83.9%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
83.9%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
81.7%	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)))))`
84.6%	3	`M`
81.3%	2	`h`
81.8%	2	`l`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes55.0ms (0.5%)

Memory

-7.5MiB live, 89.5MiB allocated; 10ms collecting garbage

Counts

43 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

13.0ms	d
13.0ms	(*.f64 M D)
11.0ms	(*.f64 #s(literal 2 binary64) d)
8.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
8.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))

Results

Accuracy	Segments	Branch
85.0%	3	`(*.f64 M D)`
82.7%	2	`(*.f64 #s(literal 2 binary64) d)`
82.7%	2	`d`
83.3%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
83.3%	2	`(sqrt.f64 (-.f64 #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 38 to 52 computations (-36.8% saved)

regimes10.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

(*.f64 M D)

Results

Accuracy	Segments	Branch
85.0%	3	`(*.f64 M D)`

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes91.0ms (0.9%)

Memory

29.3MiB live, 166.0MiB allocated; 7ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

8.0ms	l
6.0ms	d
6.0ms	w0
6.0ms	D
6.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
77.0%	2	`h`
78.4%	2	`(/.f64 h l)`
80.9%	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)))))`
77.0%	2	`l`
74.5%	1	`w0`
79.0%	2	`(*.f64 #s(literal 2 binary64) d)`
79.0%	2	`d`
81.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
79.4%	3	`M`
74.5%	1	`D`
79.9%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
79.9%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
81.0%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
81.0%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
77.6%	2	`(*.f64 M D)`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes25.0ms (0.2%)

Memory

-7.9MiB live, 41.6MiB allocated; 7ms collecting garbage

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

9.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
6.0ms	(.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)))))
5.0ms	(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))))
4.0ms	(-.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
79.6%	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)))))`
79.6%	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)))`
79.6%	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))))`
80.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 62 to 61 computations (1.6% saved)

regimes15.0ms (0.1%)

Memory

-19.4MiB live, 25.1MiB allocated; 4ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms

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

4.0ms

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

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
78.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
78.5%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
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 29 to 34 computations (-17.2% saved)

regimes14.0ms (0.1%)

Memory

28.5MiB live, 28.5MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

4.0ms	(.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)))))
3.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
3.0ms	(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))))
3.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))

Results

Accuracy	Segments	Branch
78.0%	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)))))`
78.0%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
78.0%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
79.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 62 to 61 computations (1.6% saved)

regimes18.0ms (0.2%)

Memory

-3.8MiB live, 41.1MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

15 calls:

4.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
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	(*.f64 #s(literal 2 binary64) d)
1.0ms	d
1.0ms	h

Results

Accuracy	Segments	Branch
65.3%	1	`D`
65.3%	1	`w0`
65.3%	1	`h`
65.3%	1	`l`
65.3%	1	`(*.f64 M D)`
65.3%	1	`M`
65.3%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
65.3%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
65.3%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
65.3%	1	`(/.f64 h l)`
65.3%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
65.3%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
65.3%	1	`(*.f64 #s(literal 2 binary64) d)`
65.3%	1	`d`
65.3%	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

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9536636007535768e+24	7.597919882189042e+29

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.618374426988348e+296	+inf
0.0ms	3.841541114815132e-166	1.7725569145563104e-161

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.618374426988348e+296	+inf
0.0ms	2.556642668283867e-114	7.526622861813002e-114

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.772838653616354e+59	-3.816801464909431e+48

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.593754599791739e+167	-2.1107575181977695e+151

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.593754599791739e+167	-2.1107575181977695e+151

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.772838653616354e+59	-3.816801464909431e+48

Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify662.0ms (6.5%)

Memory

-106.6MiB live, 135.6MiB allocated; 1.2s collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	707
1	268	679
2	839	679
3	6521	678

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) D) h) (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d))) (*.f64 #s(literal 2 binary64) 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 D (/.f64 (.f64 (.f64 D (/.f64 M d)) M) (*.f64 l d))) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #s(literal 1999999999999999966445568 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (.f64 (/.f64 M (.f64 d d)) (/.f64 (*.f64 D M) l))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 M D) #s(literal 4149515568880993/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 D d) D) (.f64 (/.f64 M l) (.f64 h (/.f64 M d)))) #s(literal 1 binary64)))) (if (<=.f64 (.f64 M D) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 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 D (.f64 M (/.f64 (.f64 D M) (.f64 (.f64 d d) l)))) #s(literal 1 binary64))))) #s(approx (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 binary64) w0))))
(if (<=.f64 (.f64 M D) #s(literal 6931674235302037/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 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 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 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 D (.f64 M (/.f64 (.f64 D M) (.f64 (.f64 d d) l)))) #s(literal 1 binary64))))) #s(approx (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 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 -499999999999999974693567648537009433481822505506705036541952 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 (neg.f64 M) D)) (.f64 D M)) (.f64 l (.f64 #s(literal -2 binary64) 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 -499999999999999966930247417371487281185975108215165759305846411153850323349801823812846216297922973585457277299849260737769690406722406396639729252701864308747192500224 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 (.f64 D D) h) (.f64 l d))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -499999999999999966930247417371487281185975108215165759305846411153850323349801823812846216297922973585457277299849260737769690406722406396639729252701864308747192500224 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 D d) D) (.f64 M (/.f64 (.f64 h M) (.f64 l d)))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -499999999999999974693567648537009433481822505506705036541952 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (.f64 (.f64 d d) l)))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) D) h) (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d))) (*.f64 #s(literal 2 binary64) 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 D (/.f64 (.f64 (.f64 D (/.f64 M d)) M) (*.f64 l d))) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #s(literal 1999999999999999966445568 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (.f64 (/.f64 M (.f64 d d)) (/.f64 (*.f64 D M) l))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 M D) #s(literal 4149515568880993/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 D d) D) (.f64 (/.f64 M l) (.f64 h (/.f64 M d)))) #s(literal 1 binary64)))) (if (<=.f64 (.f64 M D) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 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 D (.f64 M (/.f64 (.f64 D M) (.f64 (.f64 d d) l)))) #s(literal 1 binary64))))) #s(approx (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 binary64) w0))))
(if (<=.f64 (.f64 M D) #s(literal 4149515568880993/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 D d) D) (.f64 (/.f64 M l) (.f64 h (/.f64 M d)))) #s(literal 1 binary64)))) (if (<=.f64 (.f64 M D) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 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 D (.f64 M (/.f64 (.f64 D M) (.f64 (.f64 d d) l)))) #s(literal 1 binary64))))) #s(approx (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 binary64) w0))))
(if (<=.f64 (.f64 M D) #s(literal 6931674235302037/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 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 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 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 D (.f64 M (/.f64 (.f64 D M) (.f64 (.f64 d d) l)))) #s(literal 1 binary64))))) #s(approx (* w0 (sqrt (- 1 (/ (* (/ (neg h) l) (pow (* D M) 2)) (* -2 d))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 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 -499999999999999974693567648537009433481822505506705036541952 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 (neg.f64 M) D)) (.f64 D M)) (.f64 l (.f64 #s(literal -2 binary64) 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 -499999999999999974693567648537009433481822505506705036541952 binary64)) (.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 M D)) (.f64 D M)) (.f64 l (.f64 #s(literal -2 binary64) 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 -499999999999999966930247417371487281185975108215165759305846411153850323349801823812846216297922973585457277299849260737769690406722406396639729252701864308747192500224 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 (.f64 D D) h) (.f64 l d))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -499999999999999966930247417371487281185975108215165759305846411153850323349801823812846216297922973585457277299849260737769690406722406396639729252701864308747192500224 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 M d) M) (/.f64 (.f64 (.f64 D D) h) (.f64 l d))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -499999999999999966930247417371487281185975108215165759305846411153850323349801823812846216297922973585457277299849260737769690406722406396639729252701864308747192500224 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 D d) D) (.f64 M (/.f64 (.f64 h M) (.f64 l d)))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -499999999999999966930247417371487281185975108215165759305846411153850323349801823812846216297922973585457277299849260737769690406722406396639729252701864308747192500224 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 D d) D) (.f64 M (/.f64 (.f64 h M) (.f64 l d)))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -499999999999999974693567648537009433481822505506705036541952 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (.f64 (.f64 d d) l)))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -499999999999999974693567648537009433481822505506705036541952 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (.f64 (.f64 d d) l)))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

derivations1.3s (12.3%)

Memory

3.8MiB live, 943.4MiB allocated; 143ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	626	4390
1	2407	4334
0	9499	4188
0	82	623
0	131	620
1	386	606
2	2776	554
0	8151	554
0	86	575
0	135	557
1	459	515
2	3211	510
0	10610	507
0	1199	9102
1	4650	8990
0	8086	8695
0	17	69
0	26	69
1	75	69
2	410	69
3	7218	69
0	8457	66
0	1230	9385
1	4732	9273
0	8187	8965
0	63	454
0	107	451
1	325	394
2	2286	394
0	8792	394

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

Compiler

Compiled 682 to 157 computations (77% saved)

preprocess106.0ms (1%)

Memory

26.1MiB live, 217.2MiB allocated; 20ms collecting garbage

Remove

(negabs w0)

(abs D)

(abs d)

Compiler

Compiled 1 736 to 628 computations (63.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze632.0ms (6.2%)

sample2.1s (20.8%)

explain279.0ms (2.7%)

preprocess161.0ms (1.6%)

eval0.0ms (0%)

prune24.0ms (0.2%)

simplify121.0ms (1.2%)

localize77.0ms (0.8%)

series151.0ms (1.5%)

simplify196.0ms (1.9%)

rewrite127.0ms (1.2%)

eval93.0ms (0.9%)

prune15.0ms (0.2%)

simplify110.0ms (1.1%)

localize159.0ms (1.6%)

series156.0ms (1.5%)

simplify188.0ms (1.8%)

rewrite161.0ms (1.6%)

eval151.0ms (1.5%)

prune33.0ms (0.3%)

simplify115.0ms (1.1%)

localize353.0ms (3.5%)

series139.0ms (1.4%)

simplify224.0ms (2.2%)

rewrite222.0ms (2.2%)

eval114.0ms (1.1%)

prune44.0ms (0.4%)

simplify175.0ms (1.7%)

localize189.0ms (1.9%)

series106.0ms (1%)

simplify222.0ms (2.2%)

rewrite168.0ms (1.6%)

eval117.0ms (1.1%)

prune68.0ms (0.7%)

regimes321.0ms (3.1%)

regimes206.0ms (2%)

regimes216.0ms (2.1%)

regimes55.0ms (0.5%)

regimes10.0ms (0.1%)

regimes91.0ms (0.9%)

regimes25.0ms (0.2%)

regimes15.0ms (0.1%)

regimes14.0ms (0.1%)

regimes18.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify662.0ms (6.5%)

derivations1.3s (12.3%)

preprocess106.0ms (1%)

end0.0ms (0%)

Profiling