Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze633.0ms (6.3%)

Memory

-12.6MiB live, 939.5MiB allocated; 148ms 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)

sample2.4s (23.8%)

Memory

109.1MiB live, 3 498.3MiB allocated; 666ms collecting garbage

Samples

1.3s	8 256×	0	valid
400.0ms	2 767×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 476.0ms (41.4% of total)

ival-div: 247.0ms (21.5% of total)

ival-pow2: 144.0ms (12.5% of total)

ival-sqrt: 140.0ms (12.2% of total)

ival-sub: 116.0ms (10.1% of total)

exact: 12.0ms (1% of total)

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

ival-assert: 5.0ms (0.4% of total)

adjust: 4.0ms (0.3% of total)

Bogosity

explain266.0ms (2.7%)

Memory

-50.8MiB live, 455.5MiB allocated; 146ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
48	-	3	(7.713582477091239e+237 1.922548345850176e-215 -9.653866940344292e-178 -5.076737447713101e+105 -1.7941538266757412e-193 1.421368247287482e-237)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
28	-	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))))`
15	-	1	(3.483537074399349e+234 5.005287817583124e-133 2.0175761934434326e-184 4.926190542205207e-291 3.0158589481088695e+147 -2.5298234179455543e-267)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
5	-	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	28	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	54
↳	`(-.f64 #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	56
↳	`(sqrt.f64 (-.f64 #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	28
↳	`(*.f64 M D)`	overflow	17
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	28
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	56
↳	`(/.f64 h l)`	overflow	27
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	7	0
↳	`(*.f64 M D)`	overflow	17
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	6	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	5	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	54
↳	`(*.f64 M D)`	overflow	17
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	28
↳	`(/.f64 h l)`	underflow	49
`*.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**	5	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	2	0
↳	`(*.f64 M D)`	underflow	35
`*.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	108
↳	`(*.f64 M D)`	underflow	35
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	64
↳	`(/.f64 h l)`	overflow	27

Confusion

	Predicted +	Predicted -
+	39	15
-	13	189

Precision

0.75

Recall

0.7222222222222222

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	39	0	15
-	13	0	189

Precision?

0.75

Recall?

0.7222222222222222

Freqs

test

number	freq
0	204
1	50
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

127.0ms

512×

valid

Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult: 81.0ms (80.1% of total)

ival-div: 8.0ms (7.9% of total)

ival-pow2: 5.0ms (4.9% of total)

ival-sqrt: 3.0ms (3% of total)

ival-sub: 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)

preprocess148.0ms (1.5%)

Memory

27.4MiB live, 214.1MiB allocated; 24ms 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)

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.6%	(.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)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series96.0ms (1%)

Memory

-33.9MiB live, 158.4MiB allocated; 36ms collecting garbage

Counts

17 → 98

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
(* 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)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/2 (/ (* D M) d))
(* D M)
M
(* (/ (* 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
(* 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 l)
h
(* 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)
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))
(* 2 d)
d

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	D	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
7.0ms	h	@	-inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
7.0ms	w0	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
6.0ms	D	@	-inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
6.0ms	M	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)

simplify203.0ms (2%)

Memory

12.4MiB live, 242.7MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	629	4417
1	2414	4361
0	9509	4215

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 92

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)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/2 (/ (* D M) d))
(* D M)
M
(* (/ (* 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
(* 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 l)
h
(* 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)
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))
(* 2 d)
d

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

rewrite172.0ms (1.7%)

Memory

32.1MiB live, 175.9MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	26	95
1	75	95
2	410	95
3	7218	95
0	8457	92

Stop Event

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

Counts

17 → 670

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

eval176.0ms (1.8%)

Memory: -24.0MiB live, 204.1MiB allocated; 32ms collecting garbage
Compiler: Compiled 22 963 to 4 437 computations (80.7% saved)

prune46.0ms (0.5%)

Memory

20.8MiB live, 67.6MiB allocated; 4ms collecting garbage

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	736	26	762
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	737	26	763

Accuracy

91.1%

Counts

763 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.3%	(.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))))
	10.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 h) l) (cosh.f64 (log.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) (.f64 (/.f64 (neg.f64 h) l) (sinh.f64 (log.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))))))))
	24.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (cosh.f64 (log.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) (.f64 (/.f64 h l) (sinh.f64 (log.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))))))))
	78.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	75.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)) (*.f64 (neg.f64 l) d)))))
	69.7%	(.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)))))
▶	78.1%	(.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)))))
	78.0%	(.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)))))
	64.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)))))
	76.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 (.f64 D M) #s(literal -2 binary64)) (.f64 (/.f64 D d) M)) (.f64 #s(literal -2 binary64) d)) (/.f64 h l)))))
▶	80.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M)) #s(literal 4 binary64)) (/.f64 h l)))))
	72.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)) (/.f64 h l)))))
	68.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) (*.f64 D M)) #s(literal 2 binary64)) (/.f64 h l)))))
▶	80.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) (.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))))))))
	78.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 h l)))))
	67.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (*.f64 D M))) (/.f64 h l)))))
▶	65.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 M d) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 D M))) (/.f64 h l)))))
	69.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 d d))) (/.f64 h l)))))
	65.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 M d) (/.f64 M d)))) (/.f64 h l)))))
	67.2%	(.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 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	56.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) l)) (.f64 d d))))))
	27.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 M M)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 h (.f64 (.f64 d d) l)))) (.f64 M M)))))
	14.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
	55.6%	(.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))))
▶	67.9%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	55.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))

Compiler

Compiled 1 416 to 1 120 computations (20.9% saved)

simplify0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

series260.0ms (2.6%)

Memory

-0.3MiB live, 204.9MiB allocated; 39ms collecting garbage

Counts

42 → 198

Calls

Call 1

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

Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(* w0 (sqrt (- 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))))
(+ 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 (* (pow M 2) h)) (* (pow d 2) l)))
(/ M d)
M
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ M d))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* d l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 2) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(* 1/2 (/ (* (pow D 2) (pow M 2)) d))
(* 1/2 (* (pow D 2) M))
(* D M)
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/ (* (pow D 2) (pow M 2)) (pow d 2))
(/ (* D M) d)
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h (* d l))))
(* M (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))
(* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l)))))))
(* M (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (* w0 (sqrt -1/2))) (sqrt (/ h (* d l))))))))
(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l))))
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/2 (/ (* (pow D 2) h) (* d l)))))
(* -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)))))))))
(* 1/2 D)
D
(/ (* D h) l)
(+ 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 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 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) 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))))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/2 (/ (* (pow M 2) 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)))))))))
(/ h l)
h
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 2) (pow l 2)))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 3) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 2) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 3) (pow l 3)))))))))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l)))))))
(* h (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l))))))))
(* h (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ 1 (* d (* h l)))))))))
(* h (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))))
(* h (- (/ 1 h) (* 1/2 (/ (* (pow D 2) (pow M 2)) (* d l)))))
(* -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 (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ h (* d l)))))
(* -1 (* h (+ (* 1/2 (* (/ (* w0 (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ 1 (* d (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* w0 (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (* w0 (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* w0 (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (* w0 (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (* w0 (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) (sqrt (/ 1 (* d (* h l))))))))))
(* -1 (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ h (* d l)))))
(* -1 (* h (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))))
(* h (+ (* -1/2 (/ (* (pow D 2) (pow M 2)) (* d l))) (/ 1 h)))
(/ (+ (* 1/2 (* (/ (* 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 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(/ (- l (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)
(+ 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 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ w0 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(/ (- d (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)
(+ 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
58.0ms	D	@	0	((* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))) (/ D 2) D 2 (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))) (/ M d) M d (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (/ h l) h l (/ (/ M d) 2) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))))) (sqrt (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l)))) (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))) (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l)) (* (/ M d) (* (/ D 2) (* D M))) (* (/ D 2) (* D M)) (* D M) (* w0 (sqrt (- 1 (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l))))) (sqrt (- 1 (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l)))) (- 1 (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l))) (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l)) (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (* (* (/ D d) M) (* (/ D d) M)) (* (/ D d) M) (/ D d) 4 (* w0 (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2)))) (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2))) (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2)) (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2) (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))))
29.0ms	w0	@	-inf	((* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))) (/ D 2) D 2 (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))) (/ M d) M d (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (/ h l) h l (/ (/ M d) 2) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))))) (sqrt (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l)))) (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))) (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l)) (* (/ M d) (* (/ D 2) (* D M))) (* (/ D 2) (* D M)) (* D M) (* w0 (sqrt (- 1 (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l))))) (sqrt (- 1 (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l)))) (- 1 (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l))) (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l)) (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (* (* (/ D d) M) (* (/ D d) M)) (* (/ D d) M) (/ D d) 4 (* w0 (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2)))) (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2))) (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2)) (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2) (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))))
29.0ms	l	@	-inf	((* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))) (/ D 2) D 2 (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))) (/ M d) M d (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (/ h l) h l (/ (/ M d) 2) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))))) (sqrt (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l)))) (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))) (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l)) (* (/ M d) (* (/ D 2) (* D M))) (* (/ D 2) (* D M)) (* D M) (* w0 (sqrt (- 1 (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l))))) (sqrt (- 1 (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l)))) (- 1 (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l))) (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l)) (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (* (* (/ D d) M) (* (/ D d) M)) (* (/ D d) M) (/ D d) 4 (* w0 (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2)))) (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2))) (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2)) (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2) (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))))
23.0ms	d	@	0	((* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))) (/ D 2) D 2 (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))) (/ M d) M d (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (/ h l) h l (/ (/ M d) 2) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))))) (sqrt (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l)))) (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))) (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l)) (* (/ M d) (* (/ D 2) (* D M))) (* (/ D 2) (* D M)) (* D M) (* w0 (sqrt (- 1 (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l))))) (sqrt (- 1 (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l)))) (- 1 (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l))) (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l)) (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (* (* (/ D d) M) (* (/ D d) M)) (* (/ D d) M) (/ D d) 4 (* w0 (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2)))) (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2))) (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2)) (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2) (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))))
17.0ms	h	@	0	((* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))) (/ D 2) D 2 (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))) (/ M d) M d (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (/ h l) h l (/ (/ M d) 2) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))))) (sqrt (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l)))) (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))) (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l)) (* (/ M d) (* (/ D 2) (* D M))) (* (/ D 2) (* D M)) (* D M) (* w0 (sqrt (- 1 (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l))))) (sqrt (- 1 (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l)))) (- 1 (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l))) (* (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (/ h l)) (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (* (* (/ D d) M) (* (/ D d) M)) (* (/ D d) M) (/ D d) 4 (* w0 (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2)))) (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2))) (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2)) (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2) (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))))

simplify214.0ms (2.1%)

Memory

-1.2MiB live, 179.9MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1208	9146
1	4667	9034
0	8098	8739

Stop Event

1×	iter limit
1×	node limit

Counts

198 → 192

Calls

Call 1

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

rewrite206.0ms (2.1%)

Memory

16.4MiB live, 202.0MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	482
0	82	458
1	270	410
2	1990	410
0	8420	407

Stop Event

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

Counts

42 → 759

Calls

Call 1

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

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

eval181.0ms (1.8%)

Memory: 6.4MiB live, 284.6MiB allocated; 77ms collecting garbage
Compiler: Compiled 37 120 to 5 968 computations (83.9% saved)

prune42.0ms (0.4%)

Memory

14.4MiB live, 106.8MiB allocated; 5ms collecting garbage

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	1 057	19	1 076
Fresh	15	6	21
Picked	4	1	5
Done	0	0	0
Total	1 076	26	1 102

Accuracy

91.8%

Counts

1 102 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 h) l) (cosh.f64 (log.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) (.f64 (/.f64 (neg.f64 h) l) (sinh.f64 (log.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))))))))
	82.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 (.f64 (/.f64 M d) (.f64 h D)) (.f64 #s(literal 2 binary64) l))) #s(literal 2 binary64)))))
▶	79.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 (.f64 (.f64 h D) M) (.f64 l (*.f64 d #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	69.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) M) D) (*.f64 (/.f64 M d) h)) l))))
	71.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M (.f64 M D)) (/.f64 D #s(literal 2 binary64))) h) (.f64 d l)))))
	80.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (/.f64 (.f64 (*.f64 (/.f64 M d) D) (/.f64 h l)) #s(literal 4 binary64))) d))))
	64.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)))))
	80.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) (*.f64 D (/.f64 M d))) #s(literal 4 binary64)) (/.f64 h l)))))
	68.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) (*.f64 D M)) #s(literal 2 binary64)) (/.f64 h l)))))
	76.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 (/.f64 D d) M)) (.f64 d #s(literal 4 binary64))) (/.f64 h l)))))
▶	82.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) (/.f64 (.f64 (.f64 h D) M) (.f64 l (*.f64 d #s(literal 2 binary64)))))))))
	70.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 D #s(literal 2 binary64)) #s(approx (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 M M) h) D)) (.f64 (.f64 d d) l)))))))
	65.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 M d) (.f64 #s(approx (/ D 2) (.f64 #s(literal 1/2 binary64) D)) (.f64 D M))) (/.f64 h l)))))
	61.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 M d) #s(approx ( (/ D 2) (* D M)) (.f64 (.f64 (*.f64 D D) M) #s(literal 1/2 binary64)))) (/.f64 h l)))))
▶	65.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (*.f64 d d)) #s(literal 1/4 binary64))) (/.f64 h l)))))
▶	67.2%	(.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 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	14.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
	13.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
	62.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (/ M d) (* (/ D 2) (* D M))) (/ h l))) (/.f64 (-.f64 l (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l))))
	60.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (/ M d) (* (/ D 2) (* D M))) (/ h l))) (.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))))
	13.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (/ M d) (* (/ D 2) (* D M))) (/ h l))) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (*.f64 M M) h) l))))))
	55.6%	(.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))))
✓	67.9%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	56.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	60.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ M d) (* (/ D 2) (* D M))) (/ h l)))) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1 binary64))))
	60.5%	#s(approx (* w0 (sqrt (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 binary64) w0))

Compiler

Compiled 1 554 to 1 199 computations (22.8% saved)

simplify0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

series137.0ms (1.4%)

Memory

-3.9MiB live, 186.9MiB allocated; 16ms collecting garbage

Counts

58 → 131

Calls

Call 1

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

Calls

18 calls:

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

simplify149.0ms (1.5%)

Memory

-17.2MiB live, 212.4MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	675	4816
1	2543	4730
0	8441	4571

Stop Event

1×	iter limit
1×	node limit

Counts

131 → 125

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

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

rewrite245.0ms (2.5%)

Memory

1.6MiB live, 353.7MiB allocated; 134ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	751
0	127	679
1	425	599
2	2927	599
0	9482	599

Stop Event

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

Counts

58 → 945

Calls

Call 1

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

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

eval213.0ms (2.1%)

Memory: -8.5MiB live, 462.4MiB allocated; 48ms collecting garbage
Compiler: Compiled 55 388 to 8 684 computations (84.3% saved)

prune64.0ms (0.6%)

Memory

31.0MiB live, 170.3MiB allocated; 7ms collecting garbage

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	1 439	21	1 460
Fresh	10	10	20
Picked	4	1	5
Done	0	1	1
Total	1 453	33	1 486

Accuracy

91.8%

Counts

1 486 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 h) l) (cosh.f64 (log.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) (.f64 (/.f64 (neg.f64 h) l) (sinh.f64 (log.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))))))))
	82.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) h) (.f64 M D)) (.f64 (.f64 (.f64 d #s(literal 2 binary64)) l) #s(literal 2 binary64))))))
	69.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) M) D) (*.f64 (/.f64 M d) h)) l))))
	83.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 (/.f64 h (.f64 l d)) (.f64 M (/.f64 D #s(literal 2 binary64))))) (*.f64 d #s(literal 2 binary64))))))
	64.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)))))
	80.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) (.f64 M (/.f64 (.f64 h D) (.f64 (*.f64 d #s(literal 2 binary64)) l))))))))
	65.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 M d) (.f64 #s(approx (/ D 2) (.f64 #s(literal 1/2 binary64) D)) (.f64 D M))) (/.f64 h l)))))
	80.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (.f64 (/.f64 D d) (.f64 (.f64 (.f64 (/.f64 D d) M) M) #s(literal 1/4 binary64)))) (/.f64 h l)))))
	82.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (/ D 2) (.f64 #s(literal 1/2 binary64) D)) (.f64 (/.f64 M d) (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 d #s(literal 2 binary64)))))))))
✓	67.2%	(.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 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
▶	76.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 M d) (/.f64 (.f64 (.f64 M D) D) (*.f64 l 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 (.f64 (/.f64 D d) M) (/.f64 (.f64 (/.f64 D d) M) l)) #s(literal 1 binary64)))))
	83.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 (/.f64 D d) M) (/.f64 (.f64 M D) (*.f64 l d))) #s(literal 1 binary64)))))
	75.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
	66.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 M (/.f64 (.f64 (.f64 M D) D) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
	14.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
	13.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (/ D 2) (* (/ M d) (/ (* (* h D) M) (* l (* d 2)))))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
	13.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
	62.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (/ M d) (* (/ D 2) (* D M))) (/ h l))) (/.f64 (-.f64 l (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l))))
	55.6%	(.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))))
✓	67.9%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	58.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (.f64 (/.f64 h d) (/.f64 (.f64 M M) d)) (.f64 (/.f64 (.f64 D D) l) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
	66.7%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	60.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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))))
	63.9%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M D) D) (.f64 h M)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	55.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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))))
	75.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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))))
	62.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 (.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))
▶	59.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) (*.f64 l d))) #s(literal 1 binary64))))
▶	67.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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))))
	60.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ M d) (* (/ D 2) (* D M))) (/ h l)))) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1 binary64))))
▶	62.1%	#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (* h D) M) (* l (* d 2)))))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
	60.5%	#s(approx (* w0 (sqrt (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 binary64) w0))

Compiler

Compiled 2 307 to 1 693 computations (26.6% saved)

simplify0.0ms (0%)

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

series166.0ms (1.7%)

Memory

3.8MiB live, 292.0MiB allocated; 34ms collecting garbage

Counts

53 → 139

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
21.0ms	w0	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (* (/ D d) M) (/ (* (/ D d) M) l))) 1) (* h -1/4) h -1/4 (* (* (/ D d) M) (/ (* (/ D d) M) l)) (* (/ D d) M) (/ D d) D d M (/ (* (/ D d) M) l) l 1 (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (+ (* -1/8 (* (* (* (* M M) h) D) (/ D (* (* d d) l)))) 1) -1/8 (* (* (* (* M M) h) D) (/ D (* (* d d) l))) (* (* (* M M) h) D) (* (* M M) h) (* M M) (/ D (* (* d d) l)) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (+ (* -1/8 (* (/ (* M M) d) (/ (* (* D D) h) (* l d)))) 1) (* (/ (* M M) d) (/ (* (* D D) h) (* l d))) (/ (* M M) d) (/ (* (* D D) h) (* l d)) (* (* D D) h) (* D D) (* l d) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (* h D) M) (* l (* d 2)))))))) (+ (* (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d))) w0) (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d)) (/ (* (* (* M M) h) w0) d) (* (* (* M M) h) w0) (/ (* D D) d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (/ M d) (/ (* (* M D) D) (* l d)))) 1) (* (/ M d) (/ (* (* M D) D) (* l d))) (/ M d) (/ (* (* M D) D) (* l d)) (* (* M D) D) (* M D))
18.0ms	d	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (* (/ D d) M) (/ (* (/ D d) M) l))) 1) (* h -1/4) h -1/4 (* (* (/ D d) M) (/ (* (/ D d) M) l)) (* (/ D d) M) (/ D d) D d M (/ (* (/ D d) M) l) l 1 (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (+ (* -1/8 (* (* (* (* M M) h) D) (/ D (* (* d d) l)))) 1) -1/8 (* (* (* (* M M) h) D) (/ D (* (* d d) l))) (* (* (* M M) h) D) (* (* M M) h) (* M M) (/ D (* (* d d) l)) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (+ (* -1/8 (* (/ (* M M) d) (/ (* (* D D) h) (* l d)))) 1) (* (/ (* M M) d) (/ (* (* D D) h) (* l d))) (/ (* M M) d) (/ (* (* D D) h) (* l d)) (* (* D D) h) (* D D) (* l d) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (* h D) M) (* l (* d 2)))))))) (+ (* (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d))) w0) (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d)) (/ (* (* (* M M) h) w0) d) (* (* (* M M) h) w0) (/ (* D D) d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (/ M d) (/ (* (* M D) D) (* l d)))) 1) (* (/ M d) (/ (* (* M D) D) (* l d))) (/ M d) (/ (* (* M D) D) (* l d)) (* (* M D) D) (* M D))
16.0ms	l	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (* (/ D d) M) (/ (* (/ D d) M) l))) 1) (* h -1/4) h -1/4 (* (* (/ D d) M) (/ (* (/ D d) M) l)) (* (/ D d) M) (/ D d) D d M (/ (* (/ D d) M) l) l 1 (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (+ (* -1/8 (* (* (* (* M M) h) D) (/ D (* (* d d) l)))) 1) -1/8 (* (* (* (* M M) h) D) (/ D (* (* d d) l))) (* (* (* M M) h) D) (* (* M M) h) (* M M) (/ D (* (* d d) l)) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (+ (* -1/8 (* (/ (* M M) d) (/ (* (* D D) h) (* l d)))) 1) (* (/ (* M M) d) (/ (* (* D D) h) (* l d))) (/ (* M M) d) (/ (* (* D D) h) (* l d)) (* (* D D) h) (* D D) (* l d) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (* h D) M) (* l (* d 2)))))))) (+ (* (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d))) w0) (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d)) (/ (* (* (* M M) h) w0) d) (* (* (* M M) h) w0) (/ (* D D) d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (/ M d) (/ (* (* M D) D) (* l d)))) 1) (* (/ M d) (/ (* (* M D) D) (* l d))) (/ M d) (/ (* (* M D) D) (* l d)) (* (* M D) D) (* M D))
10.0ms	M	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (* (/ D d) M) (/ (* (/ D d) M) l))) 1) (* h -1/4) h -1/4 (* (* (/ D d) M) (/ (* (/ D d) M) l)) (* (/ D d) M) (/ D d) D d M (/ (* (/ D d) M) l) l 1 (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (+ (* -1/8 (* (* (* (* M M) h) D) (/ D (* (* d d) l)))) 1) -1/8 (* (* (* (* M M) h) D) (/ D (* (* d d) l))) (* (* (* M M) h) D) (* (* M M) h) (* M M) (/ D (* (* d d) l)) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (+ (* -1/8 (* (/ (* M M) d) (/ (* (* D D) h) (* l d)))) 1) (* (/ (* M M) d) (/ (* (* D D) h) (* l d))) (/ (* M M) d) (/ (* (* D D) h) (* l d)) (* (* D D) h) (* D D) (* l d) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (* h D) M) (* l (* d 2)))))))) (+ (* (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d))) w0) (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d)) (/ (* (* (* M M) h) w0) d) (* (* (* M M) h) w0) (/ (* D D) d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (/ M d) (/ (* (* M D) D) (* l d)))) 1) (* (/ M d) (/ (* (* M D) D) (* l d))) (/ M d) (/ (* (* M D) D) (* l d)) (* (* M D) D) (* M D))
9.0ms	D	@	-inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (* (/ D d) M) (/ (* (/ D d) M) l))) 1) (* h -1/4) h -1/4 (* (* (/ D d) M) (/ (* (/ D d) M) l)) (* (/ D d) M) (/ D d) D d M (/ (* (/ D d) M) l) l 1 (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (+ (* -1/8 (* (* (* (* M M) h) D) (/ D (* (* d d) l)))) 1) -1/8 (* (* (* (* M M) h) D) (/ D (* (* d d) l))) (* (* (* M M) h) D) (* (* M M) h) (* M M) (/ D (* (* d d) l)) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (+ (* -1/8 (* (/ (* M M) d) (/ (* (* D D) h) (* l d)))) 1) (* (/ (* M M) d) (/ (* (* D D) h) (* l d))) (/ (* M M) d) (/ (* (* D D) h) (* l d)) (* (* D D) h) (* D D) (* l d) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (* h D) M) (* l (* d 2)))))))) (+ (* (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d))) w0) (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d)) (/ (* (* (* M M) h) w0) d) (* (* (* M M) h) w0) (/ (* D D) d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (/ M d) (/ (* (* M D) D) (* l d)))) 1) (* (/ M d) (/ (* (* M D) D) (* l d))) (/ M d) (/ (* (* M D) D) (* l d)) (* (* M D) D) (* M D))

simplify247.0ms (2.5%)

Memory

-20.8MiB live, 351.8MiB allocated; 89ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	697	4993
1	2618	4907
0	8634	4741

Stop Event

1×	iter limit
1×	node limit

Counts

139 → 133

Calls

Call 1

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

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

rewrite186.0ms (1.9%)

Memory

41.6MiB live, 271.2MiB allocated; 73ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	714
0	125	714
1	449	644
2	3075	622
0	8536	622

Stop Event

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

Counts

53 → 729

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
w0
(.f64 (neg.f64 (pow.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) 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 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) h) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h)))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) h) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h)))) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) h) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h)))) (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) h) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (*.f64 #s(literal -1/4 binary64) h))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) h) #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) h) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (*.f64 #s(literal -1/4 binary64) h))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) h) #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (.f64 #s(literal -1/4 binary64) h)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) h) #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) h) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (*.f64 #s(literal -1/4 binary64) h)))))
(fma.f64 (.f64 (.f64 (/.f64 M d) (.f64 #s(literal -1/4 binary64) h)) (/.f64 (.f64 D M) l)) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 M d) (.f64 #s(literal -1/4 binary64) h)) (.f64 D M)) (/.f64 (/.f64 D d) l) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) (.f64 D (/.f64 (.f64 (/.f64 D d) M) l))) (/.f64 M d) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 D d)) (/.f64 D d)) (/.f64 M l) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) h) #s(literal -1/4 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) (/.f64 (.f64 (/.f64 D d) M) l)) (.f64 (/.f64 D d) M) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) (/.f64 D d)) (.f64 (/.f64 (.f64 (/.f64 D d) M) l) M) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64))) l) h #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 D d)) (.f64 (/.f64 (*.f64 (/.f64 D d) M) l) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 D d)) (/.f64 (.f64 (/.f64 D d) M) l) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 M d) (.f64 #s(literal -1/4 binary64) h)) (.f64 (.f64 D (/.f64 (*.f64 (/.f64 D d) M) l)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 M d) (.f64 #s(literal -1/4 binary64) h)) (.f64 D (/.f64 (.f64 (/.f64 D d) M) l)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64) #s(literal 1 binary64))
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eval238.0ms (2.4%)

Memory: 3.4MiB live, 385.3MiB allocated; 29ms collecting garbage
Compiler: Compiled 51 871 to 5 982 computations (88.5% saved)

prune131.0ms (1.3%)

Memory

-32.2MiB live, 258.1MiB allocated; 40ms collecting garbage

Pruning

43 alts after pruning (39 fresh and 4 done)

	Pruned	Kept	Total
New	1 085	18	1 103
Fresh	5	21	26
Picked	3	2	5
Done	0	2	2
Total	1 093	43	1 136

Accuracy

91.8%

Counts

1 136 → 43

Alt Table

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Status	Accuracy	Program
	10.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 h) l) (cosh.f64 (log.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) (.f64 (/.f64 (neg.f64 h) l) (sinh.f64 (log.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))))))))
	82.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) h) (.f64 M D)) (.f64 (.f64 (.f64 d #s(literal 2 binary64)) l) #s(literal 2 binary64))))))
	69.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) M) D) (*.f64 (/.f64 M d) h)) l))))
	83.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 (/.f64 h (.f64 l d)) (.f64 M (/.f64 D #s(literal 2 binary64))))) (*.f64 d #s(literal 2 binary64))))))
	64.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)))))
	80.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) (.f64 M (/.f64 (.f64 h D) (.f64 (*.f64 d #s(literal 2 binary64)) l))))))))
	65.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 M d) (.f64 #s(approx (/ D 2) (.f64 #s(literal 1/2 binary64) D)) (.f64 D M))) (/.f64 h l)))))
	82.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (/ D 2) (.f64 #s(literal 1/2 binary64) D)) (.f64 (/.f64 M d) (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 d #s(literal 2 binary64)))))))))
	87.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (/.f64 D d) M) l) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 D d)) #s(literal 1 binary64)))))
	82.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 D d)) (/.f64 D d)) (/.f64 M l) #s(literal 1 binary64)))))
	81.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 D M)) (*.f64 l d)) #s(literal 1 binary64)))))
✓	67.2%	(.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 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
✓	76.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 M d) (/.f64 (.f64 (.f64 M D) D) (*.f64 l d))) #s(literal 1 binary64)))))
	75.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
	66.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 M (/.f64 (.f64 (.f64 M D) D) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
	13.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
	14.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
	13.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
	62.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (/ M d) (* (/ D 2) (* D M))) (/ h l))) (/.f64 (-.f64 l (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l))))
✓	67.9%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	72.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (.f64 (/.f64 M d) M) (.f64 (.f64 (/.f64 D l) (/.f64 (.f64 h D) d)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
	60.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) l)) (/.f64 h d) #s(literal 1 binary64))))
	66.7%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	57.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (neg.f64 D) D) h) (.f64 M M)) (.f64 (.f64 (neg.f64 l) d) d)) #s(literal 1 binary64))))
	60.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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))))
	63.9%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M D) D) (.f64 h M)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	50.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 D D) l)) (.f64 M M)) (*.f64 d d)) #s(literal 1 binary64))))
	55.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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))))
	75.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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))))
	62.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 (.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))
	64.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M M) d) (.f64 (/.f64 h l) (.f64 (/.f64 D d) D))) #s(literal 1 binary64))))
	61.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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))))
	69.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 (/.f64 (/.f64 D d) d) l)) #s(literal 1 binary64))))
	72.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D (.f64 (.f64 l d) d))) #s(literal 1 binary64))))
✓	67.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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))))
	69.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 h M) (.f64 D M)) (/.f64 D (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
	60.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ M d) (* (/ D 2) (* D M))) (/ h l)))) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1 binary64))))
	67.0%	#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (* h D) M) (* l (* d 2)))))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (.f64 (*.f64 (/.f64 D d) D) (/.f64 #s(literal -1/8 binary64) l)) w0))
	66.3%	#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (* h D) M) (* l (* d 2)))))))) (fma.f64 (/.f64 (.f64 w0 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) (.f64 d d)) (/.f64 #s(literal -1/8 binary64) l) w0))
	62.1%	#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (* h D) M) (* l (* d 2)))))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 (exp.f64 (.f64 (log.f64 M) #s(literal 2 binary64))) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
	61.7%	#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (* h D) M) (* l (* d 2)))))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 w0 (.f64 M M)) h) d) (/.f64 (*.f64 D D) d)) w0))
	14.4%	#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (* h D) M) (* l (* d 2)))))))) #s(approx (+ (* (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d))) w0) (.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d)))))
	60.5%	#s(approx (* w0 (sqrt (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 binary64) w0))

Compiler

Compiled 4 527 to 1 813 computations (60% saved)

regimes317.0ms (3.2%)

Memory

17.1MiB live, 628.9MiB allocated; 63ms collecting garbage

Counts

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

Outputs

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

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

Calls

15 calls:

30.0ms	M
25.0ms	d
24.0ms	D
24.0ms	l
22.0ms	w0

Results

Accuracy	Segments	Branch
90.6%	3	`(/.f64 h l)`
88.9%	2	`(*.f64 #s(literal 2 binary64) d)`
90.6%	3	`(*.f64 M D)`
91.0%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
91.0%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
87.1%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
89.3%	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)))`
89.3%	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))))`
88.9%	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)))))`
87.1%	1	`w0`
87.1%	1	`M`
87.1%	1	`D`
90.6%	3	`h`
88.7%	2	`l`
88.9%	2	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes29.0ms (0.3%)

Memory

4.5MiB live, 50.3MiB allocated; 2ms collecting garbage

Counts

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
90.4%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
90.4%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 16 to 21 computations (-31.3% saved)

regimes208.0ms (2.1%)

Memory

-6.2MiB live, 188.7MiB allocated; 103ms collecting garbage

Counts

53 → 1

Calls

Call 1

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

Outputs

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

Calls

11 calls:

57.0ms	h
39.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
15.0ms	(*.f64 M D)
14.0ms	l
13.0ms	d

Results

Accuracy	Segments	Branch
87.1%	1	`l`
87.1%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
87.1%	1	`(*.f64 #s(literal 2 binary64) d)`
87.1%	1	`d`
87.1%	1	`(*.f64 M D)`
87.1%	1	`(/.f64 h l)`
87.1%	1	`h`
87.1%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
87.1%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
87.1%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
87.1%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 77 to 109 computations (-41.6% saved)

regimes235.0ms (2.4%)

Memory

-0.2MiB live, 186.6MiB allocated; 12ms collecting garbage

Counts

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

Outputs

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

Calls

15 calls:

49.0ms	h
21.0ms	(/.f64 h l)
18.0ms	(*.f64 #s(literal 2 binary64) d)
14.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
13.0ms	l

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

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes241.0ms (2.4%)

Memory

30.1MiB live, 216.7MiB allocated; 11ms collecting garbage

Counts

50 → 2

Calls

Call 1

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

Outputs

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

15 calls:

43.0ms	l
29.0ms	(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))))
29.0ms	(/.f64 h l)
14.0ms	(*.f64 #s(literal 2 binary64) d)
12.0ms	d

Results

Accuracy	Segments	Branch
84.9%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
83.4%	1	`(*.f64 #s(literal 2 binary64) d)`
83.4%	1	`D`
83.4%	1	`d`
85.7%	2	`(/.f64 h l)`
84.9%	2	`(*.f64 M D)`
86.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
83.4%	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)))`
83.4%	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))))`
83.4%	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)))))`
83.4%	1	`w0`
84.9%	2	`M`
83.4%	1	`l`
83.4%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
83.4%	1	`h`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes168.0ms (1.7%)

Memory

2.0MiB live, 279.5MiB allocated; 46ms collecting garbage

Counts

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

Outputs

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

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

Calls

15 calls:

24.0ms	(*.f64 #s(literal 2 binary64) d)
15.0ms	h
13.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
12.0ms	(*.f64 M D)
11.0ms	l

Results

Accuracy	Segments	Branch
80.3%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
83.0%	3	`(*.f64 #s(literal 2 binary64) d)`
81.9%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
81.9%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
79.7%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
77.8%	2	`w0`
80.9%	2	`D`
80.0%	3	`h`
79.7%	3	`l`
83.0%	3	`d`
82.6%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
84.7%	3	`(*.f64 M D)`
80.5%	3	`M`
80.9%	2	`(/.f64 h l)`
83.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes10.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB 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) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 h M) (.f64 D M)) (/.f64 D (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D (.f64 (.f64 l d) d))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M D) D) (.f64 h M)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 binary64) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ M d) (* (/ D 2) (* D M))) (/ h l)))) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (neg.f64 D) D) h) (.f64 M M)) (.f64 (.f64 (neg.f64 l) d) d)) #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) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) (*.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 (.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 D D) l)) (.f64 M M)) (*.f64 d 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) (* (* (/ h l) D) (/ (/ M d) 2))))) (.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 2) (* D M))) (/ h l))) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (*.f64 M M) h) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 M (/.f64 (.f64 (.f64 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 M D) (/.f64 (.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 M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (* h D) M) (* l (* d 2)))))))) #s(approx (+ (* (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d))) w0) (.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (* h D) M) (* l (* d 2)))))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 w0 (.f64 M M)) h) d) (/.f64 (*.f64 D D) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (* h D) M) (* l (* d 2)))))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (* h D) M) (* l (* d 2)))))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (.f64 (*.f64 (/.f64 D d) D) (/.f64 #s(literal -1/8 binary64) l)) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 (/.f64 (/.f64 D d) d) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M M) d) (.f64 (/.f64 h l) (.f64 (/.f64 D d) D))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) l)) (/.f64 h d) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (.f64 (/.f64 M d) M) (.f64 (.f64 (/.f64 D l) (/.f64 (.f64 h D) d)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (.f64 (/.f64 h d) (/.f64 (.f64 M M) d)) (.f64 (/.f64 (.f64 D D) l) #s(literal -1/8 binary64)) #s(literal 1 binary64))))

Outputs

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

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

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

Calls

1 calls:

8.0ms

(*.f64 M D)

Results

Accuracy	Segments	Branch
84.7%	3	`(*.f64 M D)`

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes19.0ms (0.2%)

Memory

-14.2MiB live, 31.8MiB allocated; 5ms collecting garbage

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	(*.f64 M D)
6.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
83.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
83.9%	3	`(*.f64 M D)`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes24.0ms (0.2%)

Memory

-2.6MiB live, 43.6MiB allocated; 4ms 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) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 h M) (.f64 D M)) (/.f64 D (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D (.f64 (.f64 l d) d))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M D) D) (.f64 h M)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 binary64) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ M d) (* (/ D 2) (* D M))) (/ h l)))) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (neg.f64 D) D) h) (.f64 M M)) (.f64 (.f64 (neg.f64 l) d) d)) #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) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) (*.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 (.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 D D) l)) (.f64 M M)) (*.f64 d 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) (* (* (/ h l) D) (/ (/ M d) 2))))) (.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 2) (* D M))) (/ h l))) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (*.f64 M M) h) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 M (/.f64 (.f64 (.f64 M D) D) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))

Outputs

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

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

Calls

4 calls:

9.0ms	(*.f64 M D)
5.0ms	(.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
81.5%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
81.5%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
80.0%	3	`(*.f64 M D)`
81.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 47 to 51 computations (-8.5% saved)

regimes46.0ms (0.5%)

Memory

-20.2MiB live, 78.0MiB allocated; 11ms collecting garbage

Counts

21 → 2

Calls

Call 1

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

Outputs

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

7 calls:

9.0ms	d
9.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
6.0ms	(*.f64 #s(literal 2 binary64) d)
6.0ms	D
5.0ms	(/.f64 h l)

Results

Accuracy	Segments	Branch
77.8%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
75.4%	1	`(/.f64 h l)`
75.4%	1	`D`
77.8%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
77.5%	2	`(*.f64 #s(literal 2 binary64) d)`
77.5%	2	`d`
80.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 37 to 61 computations (-64.9% saved)

regimes10.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB 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) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 h M) (.f64 D M)) (/.f64 D (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D (.f64 (.f64 l d) d))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M D) D) (.f64 h M)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l)) #s(literal -1/4 binary64) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (* (/ M d) (* (/ D 2) (* D M))) (/ h l)))) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (neg.f64 D) D) h) (.f64 M M)) (.f64 (.f64 (neg.f64 l) d) d)) #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))

Outputs

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

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

Calls

3 calls:

3.0ms

(*.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)))

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))))

Results

Accuracy	Segments	Branch
79.8%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
79.8%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
79.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 44 to 44 computations (0% saved)

regimes19.0ms (0.2%)

Memory

-2.3MiB live, 43.9MiB 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	(-.f64 #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 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms	d
1.0ms	(*.f64 #s(literal 2 binary64) d)
1.0ms	l

Results

Accuracy	Segments	Branch
67.9%	1	`(/.f64 h l)`
67.9%	1	`D`
67.9%	1	`(*.f64 #s(literal 2 binary64) d)`
67.9%	1	`d`
67.9%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
67.9%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
67.9%	1	`w0`
67.9%	1	`l`
67.9%	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)))`
67.9%	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))))`
67.9%	1	`(*.f64 M D)`
67.9%	1	`h`
67.9%	1	`M`
67.9%	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)))))`
67.9%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.905411779886183e+120	2.070782963944727e+128

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.905411779886183e+120	2.070782963944727e+128

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.958520360998479e-11	-7.351586601476847e-17

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.3396544085909417e+244	7.729871510192397e+245
0.0ms	1.0740412390474039e-183	1.7296565025529339e-171

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.3396544085909417e+244	7.729871510192397e+245
0.0ms	1.0740412390474039e-183	1.7296565025529339e-171

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.880562817014636e-5	-3.958520360998479e-11

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.880562817014636e-5	-3.958520360998479e-11

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0582856729491349e+215	-4.811322260651368e+183

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.880562817014636e-5	-3.958520360998479e-11

Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify68.0ms (0.7%)

Memory

-0.4MiB live, 91.6MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	156	863
1	233	839
2	554	839
3	2801	839
4	7061	839

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 5000000000000000186704668735729944859696637877245910190513865205189002540335748550689306685710563207526199514671096004608 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (/.f64 D d) M) l) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 D d)) #s(literal 1 binary64))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) (.f64 M (/.f64 (.f64 h D) (.f64 (*.f64 d #s(literal 2 binary64)) l)))))))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 5000000000000000186704668735729944859696637877245910190513865205189002540335748550689306685710563207526199514671096004608 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (/.f64 D d) M) l) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 D d)) #s(literal 1 binary64))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (/ D 2) (.f64 #s(literal 1/2 binary64) D)) (.f64 (/.f64 M d) (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 d #s(literal 2 binary64))))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (/.f64 D d) M) l) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.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 D d) M) (/.f64 (.f64 (/.f64 D d) M) l)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 (/.f64 D d) M) (/.f64 (.f64 M D) (.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 M D) #s(literal 4784065733063811/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))) (/.f64 (-.f64 l (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d)) #s(literal 1/2 binary64))) l)))) (if (<=.f64 (.f64 M D) #s(literal 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840 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 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (.f64 (/.f64 M d) M) (.f64 (.f64 (/.f64 D l) (/.f64 (.f64 h D) d)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 M D) #s(literal 4784065733063811/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 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 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840 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 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (.f64 (/.f64 M d) M) (.f64 (.f64 (/.f64 D l) (/.f64 (.f64 h D) d)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5902958103587057/590295810358705651712 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 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5902958103587057/590295810358705651712 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 M (/.f64 (.f64 (.f64 M D) D) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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 -5902958103587057/590295810358705651712 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 h M) (.f64 D M)) (/.f64 D (.f64 (.f64 d d) l))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 5000000000000000186704668735729944859696637877245910190513865205189002540335748550689306685710563207526199514671096004608 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (/.f64 D d) M) l) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 D d)) #s(literal 1 binary64))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) (.f64 M (/.f64 (.f64 h D) (.f64 (*.f64 d #s(literal 2 binary64)) l)))))))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 5000000000000000186704668735729944859696637877245910190513865205189002540335748550689306685710563207526199514671096004608 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (/.f64 D d) M) l) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.f64 D d)) #s(literal 1 binary64))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (/ D 2) (.f64 #s(literal 1/2 binary64) D)) (.f64 (/.f64 M d) (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 d #s(literal 2 binary64))))))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (/.f64 D d) M) l) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) h) M) (/.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 D d) M) (/.f64 (.f64 (/.f64 D d) M) l)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 (/.f64 D d) M) (/.f64 (.f64 M D) (.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 M D) #s(literal 4784065733063811/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))) (/.f64 (-.f64 l (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d)) #s(literal 1/2 binary64))) l)))) (if (<=.f64 (.f64 M D) #s(literal 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840 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 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (.f64 (/.f64 M d) M) (.f64 (.f64 (/.f64 D l) (/.f64 (.f64 h D) d)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 M D) #s(literal 4784065733063811/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (/ M d) (* (/ D 2) (* D M))) (/ h l))) (/.f64 (-.f64 l (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d)) #s(literal 1/2 binary64))) l)))) (if (<=.f64 (.f64 M D) #s(literal 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840 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 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (/.f64 M d) M) (.f64 (.f64 (/.f64 D l) (/.f64 (.f64 h D) d)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 M D) #s(literal 4784065733063811/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 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 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840 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 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (.f64 (/.f64 M d) M) (.f64 (.f64 (/.f64 D l) (/.f64 (.f64 h D) d)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 M D) #s(literal 4784065733063811/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 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 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840 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 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (/.f64 M d) M) (.f64 (.f64 (/.f64 D l) (/.f64 (.f64 h D) d)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5902958103587057/590295810358705651712 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 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5902958103587057/590295810358705651712 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 M (/.f64 (.f64 (.f64 M D) D) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (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 -99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 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 -5902958103587057/590295810358705651712 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 h M) (.f64 D M)) (/.f64 D (.f64 (.f64 d d) l))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5902958103587057/590295810358705651712 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 h M) (.f64 D M)) (/.f64 D (.f64 (.f64 d d) l))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

derivations1.6s (16.4%)

Memory

-121.9MiB live, 869.1MiB allocated; 1.3s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	26	95
1	75	95
2	410	95
3	7218	95
0	8457	92
0	80	714
0	125	714
1	449	644
2	3075	622
0	8536	622
0	629	4417
1	2414	4361
0	9509	4215
0	79	751
0	127	679
1	425	599
2	2927	599
0	9482	599
0	1208	9146
1	4667	9034
0	8098	8739
0	675	4816
1	2543	4730
0	8441	4571
0	50	482
0	82	458
1	270	410
2	1990	410
0	8420	407

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×	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

Compiler

Compiled 839 to 151 computations (82% saved)

preprocess145.0ms (1.5%)

Memory

-7.7MiB live, 173.4MiB allocated; 27ms collecting garbage

Remove

(negabs w0)

(abs d)

Compiler

Compiled 2 882 to 1 088 computations (62.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze633.0ms (6.3%)

sample2.4s (23.8%)

explain266.0ms (2.7%)

preprocess148.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

series96.0ms (1%)

simplify203.0ms (2%)

rewrite172.0ms (1.7%)

eval176.0ms (1.8%)

prune46.0ms (0.5%)

simplify0.0ms (0%)

series260.0ms (2.6%)

simplify214.0ms (2.1%)

rewrite206.0ms (2.1%)

eval181.0ms (1.8%)

prune42.0ms (0.4%)

simplify0.0ms (0%)

series137.0ms (1.4%)

simplify149.0ms (1.5%)

rewrite245.0ms (2.5%)

eval213.0ms (2.1%)

prune64.0ms (0.6%)

simplify0.0ms (0%)

series166.0ms (1.7%)

simplify247.0ms (2.5%)

rewrite186.0ms (1.9%)

eval238.0ms (2.4%)

prune131.0ms (1.3%)

regimes317.0ms (3.2%)

regimes29.0ms (0.3%)

regimes208.0ms (2.1%)

regimes235.0ms (2.4%)

regimes241.0ms (2.4%)

regimes168.0ms (1.7%)

regimes10.0ms (0.1%)

regimes19.0ms (0.2%)

regimes24.0ms (0.2%)

regimes46.0ms (0.5%)

regimes10.0ms (0.1%)

regimes19.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify68.0ms (0.7%)

derivations1.6s (16.4%)

preprocess145.0ms (1.5%)

end0.0ms (0%)

Profiling