Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

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

analyze902.0ms (17.6%)

Memory

7.8MiB live, 653.2MiB allocated; 1.0s collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 20 to 19 computations (5% saved)

sample2.1s (40.3%)

Memory

81.9MiB live, 2 369.2MiB allocated; 423ms collecting garbage

Samples

1.1s	8 256×	0	valid
319.0ms	2 785×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 431.0ms (42.3% of total)

ival-sqrt: 189.0ms (18.5% of total)

ival-div: 167.0ms (16.4% of total)

ival-pow2: 159.0ms (15.6% of total)

ival-sub: 53.0ms (5.2% of total)

exact: 15.0ms (1.5% of total)

adjust: 4.0ms (0.4% of total)

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

Bogosity

explain225.0ms (4.4%)

Memory

-39.6MiB live, 397.5MiB allocated; 79ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
48	-	2	(-5.927972005452543e-183 -604713406577.2676 -1.2379959340057115e-178 -1.4553039079450236e-85 -4.4179554959589227e-240 -4.654206272934222e-7)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
30	-	3	(3.50328584068817e-72 -7.989868970679636e-88 1.889937406772288e-230 7.121755289359771e-155 9.729815341134247e-113 -4.807908925315029e-265)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
20	-	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))))`
12	-	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	20	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	52
↳	`(-.f64 #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	36
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
↳	`(*.f64 M D)`	overflow	23
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	32
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	56
↳	`(/.f64 h l)`	overflow	25
`*.f64`	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`	*no**	12	0
`*.f64`	`(.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))`	o/n	5	0
↳	`(*.f64 M D)`	overflow	23
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	52
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
↳	`(*.f64 M D)`	overflow	23
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	32
↳	`(/.f64 h l)`	underflow	41
`*.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	102
↳	`(*.f64 M D)`	underflow	43
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	50
↳	`(/.f64 h l)`	overflow	25

Confusion

	Predicted +	Predicted -
+	37	14
-	9	196

Precision

0.8043478260869565

Recall

0.7254901960784313

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	37	0	14
-	9	0	196

Precision?

0.8043478260869565

Recall?

0.7254901960784313

Freqs

test

number	freq
0	210
1	45
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

66.0ms

512×

valid

Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 12.0ms (29.3% of total)

ival-sqrt: 12.0ms (29.3% of total)

ival-div: 7.0ms (17.1% of total)

ival-pow2: 5.0ms (12.2% of total)

ival-sub: 2.0ms (4.9% of total)

ival-true: 1.0ms (2.4% of total)

exact: 1.0ms (2.4% of total)

adjust: 0.0ms (0% of total)

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

preprocess170.0ms (3.3%)

Memory

-0.1MiB live, 224.0MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	514
1	461	510
2	1474	510
3	4405	510
0	17	18
0	26	18
1	47	18
2	122	18
3	873	18
4	5428	18
0	8411	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 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) M) (/.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 h l) #s(literal 2 binary64)) #s(literal 2 binary64))) w0)

Symmetry

(abs M)

(abs D)

(abs d)

(negabs w0)

(sort M D)

Compiler

Compiled 18 to 17 computations (5.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 6 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.6%	(.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)

series167.0ms (3.3%)

Memory

14.0MiB live, 155.1MiB allocated; 23ms collecting garbage

Counts

17 → 100

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
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx w0 #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole 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)))))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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)))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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))))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole 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)))))))))))
#s(approx D #s(hole binary64 D))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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)))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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))))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole 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)))))))))))
#s(approx (/ h l) #s(hole binary64 (/ h l)))
#s(approx h #s(hole binary64 h))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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))))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole 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))))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole 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)))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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)))))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx l #s(hole binary64 l))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole 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))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole 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)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* 2 d) #s(hole binary64 (* 2 d)))
#s(approx d #s(hole binary64 d))

Calls

18 calls:

Time	Variable		Point	Expression
52.0ms	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)
45.0ms	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)
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	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))) 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)
5.0ms	M	@	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)

rewrite188.0ms (3.7%)

Memory

11.2MiB live, 242.0MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	745	6259
0	758	6005
0	4242	5864

Stop Event

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

Counts

117 → 135

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

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

eval18.0ms (0.3%)

Memory: -11.3MiB live, 35.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 7 435 to 897 computations (87.9% saved)

prune31.0ms (0.6%)

Memory

-33.6MiB live, 28.2MiB allocated; 31ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	4	136

Accuracy

89.0%

Counts

136 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) h) l))))
✓	80.6%	(.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)))))
▶	43.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (pow.f64 d #s(literal 1 binary64)) (pow.f64 d #s(literal 1 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)))) (.f64 d d)))))
▶	70.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))))

Compiler

Compiled 105 to 83 computations (21% saved)

series99.0ms (1.9%)

Memory

11.1MiB live, 149.4MiB allocated; 9ms collecting garbage

Counts

34 → 214

Calls

Call 1

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

Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx w0 #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole 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)))))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (/ (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (* d d)) #s(hole binary64 1))
#s(approx (/ (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (* d d)) #s(hole binary64 (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) #s(hole binary64 (pow d 2)))
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#s(approx (/ (* (* M M) h) l) #s(hole binary64 (/ (* (pow M 2) h) l)))
#s(approx (* (* M M) h) #s(hole binary64 (* (pow M 2) h)))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#s(approx M #s(hole binary64 M))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 1))
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#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole 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)))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole 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)))))))))))
#s(approx (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) #s(hole binary64 1))
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#s(approx (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))
#s(approx (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
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#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))))
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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)))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
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#s(approx (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) l)) (/ (pow d 2) (pow M 2))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))))
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#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
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#s(approx (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) #s(hole binary64 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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))))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))))
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#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (* -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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#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* -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)))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* -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))))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole 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)))))))))))
#s(approx (* D D) #s(hole binary64 (pow D 2)))
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#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole 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)))))))))))
#s(approx (/ D d) #s(hole binary64 (/ D d)))
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#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* -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)))))))))))
#s(approx (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) #s(hole binary64 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (/ (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (* d d)) #s(hole binary64 (/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) #s(hole binary64 (/ (+ (* -1/4 (* (pow D 2) (* (pow M 2) h))) (* (pow d 2) l)) l)))
#s(approx l #s(hole binary64 l))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) #s(hole binary64 (/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole 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))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole 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)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole 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))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole 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))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole 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)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole 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)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (/ (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (* d d)) #s(hole binary64 (/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))))
#s(approx (pow d 1) #s(hole binary64 d))
#s(approx d #s(hole binary64 d))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) #s(hole binary64 (* (pow d 2) (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))))

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	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 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (* d d)) (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (pow d 1) d (* -1/4 (* (* D D) (/ (* (* M M) h) l))) -1/4 (* (* D D) (/ (* (* M M) h) l)) (* D D) D (/ (* (* M M) h) l) (* (* M M) h) (* M M) M h l (* d d) (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) 2 (/ D d))
9.0ms	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 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (* d d)) (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (pow d 1) d (* -1/4 (* (* D D) (/ (* (* M M) h) l))) -1/4 (* (* D D) (/ (* (* M M) h) l)) (* D D) D (/ (* (* M M) h) l) (* (* M M) h) (* M M) M h l (* d d) (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) 2 (/ D d))
9.0ms	M	@	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 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (* d d)) (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (pow d 1) d (* -1/4 (* (* D D) (/ (* (* M M) h) l))) -1/4 (* (* D D) (/ (* (* M M) h) l)) (* D D) D (/ (* (* M M) h) l) (* (* M M) h) (* M M) M h l (* d d) (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) 2 (/ D d))
7.0ms	M	@	-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 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (* d d)) (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (pow d 1) d (* -1/4 (* (* D D) (/ (* (* M M) h) l))) -1/4 (* (* D D) (/ (* (* M M) h) l)) (* D D) D (/ (* (* M M) h) l) (* (* M M) h) (* M M) M h l (* d d) (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) 2 (/ D d))
5.0ms	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 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (* d d)) (+ (* (pow d 1) (pow d 1)) (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (pow d 1) d (* -1/4 (* (* D D) (/ (* (* M M) h) l))) -1/4 (* (* D D) (/ (* (* M M) h) l)) (* D D) D (/ (* (* M M) h) l) (* (* M M) h) (* M M) M h l (* d d) (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) 2 (/ D d))

rewrite231.0ms (4.5%)

Memory

20.6MiB live, 203.6MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	934	14039
0	969	12762
0	4791	12465

Stop Event

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

Counts

248 → 324

Calls

Call 1

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

eval38.0ms (0.7%)

Memory: 25.6MiB live, 77.3MiB allocated; 9ms collecting garbage
Compiler: Compiled 13 654 to 1 654 computations (87.9% saved)

prune33.0ms (0.6%)

Memory

-33.9MiB live, 55.8MiB allocated; 10ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	271	1	272
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	272	4	276

Accuracy

90.0%

Counts

276 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) h)) l))))
✓	80.6%	(.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)))))
✓	43.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (pow.f64 d #s(literal 1 binary64)) (pow.f64 d #s(literal 1 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)))) (.f64 d d)))))
✓	70.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))))

Compiler

Compiled 105 to 83 computations (21% saved)

series97.0ms (1.9%)

Memory

-5.7MiB live, 90.8MiB allocated; 16ms collecting garbage

Counts

17 → 100

Calls

Call 1

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

Outputs
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx w0 #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) #s(hole 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)))))))))
#s(approx (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) #s(hole 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)))))))))))
#s(approx (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)) #s(hole binary64 (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))
#s(approx (* (/ D d) (/ M 2)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (* (/ D d) (/ M 2)) h) #s(hole binary64 (* 1/2 (/ (* D (* M h)) d))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) #s(hole binary64 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))))
#s(approx (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) #s(hole binary64 (* 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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#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
#s(approx (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) #s(hole 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))))))))
#s(approx (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) #s(hole 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)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole 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)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)))
#s(approx (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx d #s(hole binary64 d))

Calls

18 calls:

Time	Variable		Point	Expression
14.0ms	D	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)) 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l) (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) (* (/ D d) (/ M 2)) (/ D d) D d (/ M 2) M 2 (* (* (/ D d) (/ M 2)) h) h l)
3.0ms	D	@	0	((* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)) 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l) (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) (* (/ D d) (/ M 2)) (/ D d) D d (/ M 2) M 2 (* (* (/ D d) (/ M 2)) h) h l)
3.0ms	M	@	inf	((* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)) 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l) (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) (* (/ D d) (/ M 2)) (/ D d) D d (/ M 2) M 2 (* (* (/ D d) (/ M 2)) h) h l)
3.0ms	d	@	0	((* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)) 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l) (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) (* (/ D d) (/ M 2)) (/ D d) D d (/ M 2) M 2 (* (* (/ D d) (/ M 2)) h) h l)
3.0ms	M	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l))) (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)) 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l) (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) (* (/ D d) (/ M 2)) (/ D d) D d (/ M 2) M 2 (* (* (/ D d) (/ M 2)) h) h l)

rewrite155.0ms (3%)

Memory

2.6MiB live, 198.0MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	749	6853
0	766	6599
0	4252	6458

Stop Event

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

Counts

117 → 134

Calls

Call 1

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

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

eval21.0ms (0.4%)

Memory: 2.5MiB live, 49.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 8 562 to 967 computations (88.7% saved)

prune17.0ms (0.3%)

Memory

-8.0MiB live, 39.2MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	151	5	156

Accuracy

90.0%

Counts

156 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) h)) l))))
✓	80.6%	(.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)))))
✓	43.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (pow.f64 d #s(literal 1 binary64)) (pow.f64 d #s(literal 1 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)))) (.f64 d d)))))
✓	70.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))))
▶	58.5%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))

Compiler

Compiled 148 to 111 computations (25% saved)

series77.0ms (1.5%)

Memory

21.2MiB live, 67.4MiB allocated; 5ms collecting garbage

Counts

17 → 64

Calls

Call 1

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

Outputs
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx (+ (* (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))))
#s(approx (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
#s(approx (* (pow (* M D) 2) (* h w0)) #s(hole binary64 (* (pow D 2) (* (pow M 2) (* h w0)))))
#s(approx (* h w0) #s(hole binary64 (* h w0)))
#s(approx w0 #s(hole binary64 w0))
#s(approx (+ (* (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (+ (* (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) -1/8) w0) #s(hole binary64 w0))
#s(approx (+ (* (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (pow (* M D) 2) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (* (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))))
#s(approx (+ (* (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* -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))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* -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)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* -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))))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx D #s(hole binary64 D))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (* (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole 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))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* -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)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* -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))))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx h #s(hole binary64 h))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* 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)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* 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))))))))))
#s(approx (+ (* (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (* -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)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole 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))))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole 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)))))))))))
#s(approx (+ (* (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (+ (* (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)))
#s(approx (* (* d d) l) #s(hole binary64 (* (pow d 2) l)))
#s(approx l #s(hole binary64 l))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole 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))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole 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)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (+ 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)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (+ (* (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx d #s(hole binary64 d))

Calls

18 calls:

Time	Variable		Point	Expression
32.0ms	h	@	inf	((* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) (+ (* (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) -1/8) w0) (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) (* (pow (* M D) 2) (* h w0)) (pow (* M D) 2) (* M D) M D 2 (* h w0) h w0 (* (* d d) l) (* d d) d l -1/8)
4.0ms	w0	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) (+ (* (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) -1/8) w0) (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) (* (pow (* M D) 2) (* h w0)) (pow (* M D) 2) (* M D) M D 2 (* h w0) h w0 (* (* d d) l) (* d d) d l -1/8)
3.0ms	h	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) (+ (* (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) -1/8) w0) (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) (* (pow (* M D) 2) (* h w0)) (pow (* M D) 2) (* M D) M D 2 (* h w0) h w0 (* (* d d) l) (* d d) d l -1/8)
3.0ms	w0	@	0	((* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) (+ (* (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) -1/8) w0) (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) (* (pow (* M D) 2) (* h w0)) (pow (* M D) 2) (* M D) M D 2 (* h w0) h w0 (* (* d d) l) (* d d) d l -1/8)
3.0ms	w0	@	inf	((* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) (+ (* (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) -1/8) w0) (/ (* (pow (* M D) 2) (* h w0)) (* (* d d) l)) (* (pow (* M D) 2) (* h w0)) (pow (* M D) 2) (* M D) M D 2 (* h w0) h w0 (* (* d d) l) (* d d) d l -1/8)

rewrite99.0ms (1.9%)

Memory

22.2MiB live, 71.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	481	3942
0	494	3809
0	2633	3737

Stop Event

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

Counts

81 → 113

Calls

Call 1

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

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

eval37.0ms (0.7%)

Memory: -20.7MiB live, 25.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 7 279 to 668 computations (90.8% saved)

prune17.0ms (0.3%)

Memory

25.8MiB live, 25.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	115	6	121

Accuracy

90.0%

Counts

121 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) h)) l))))
✓	80.6%	(.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)))))
✓	43.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (pow.f64 d #s(literal 1 binary64)) (pow.f64 d #s(literal 1 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)))) (.f64 d d)))))
✓	70.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))))
	58.5%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) (.f64 (exp.f64 (*.f64 (log.f64 d) #s(literal 2 binary64))) l)) #s(literal -1/8 binary64) w0))
	62.3%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) (.f64 d (*.f64 d l))) #s(literal -1/8 binary64) w0))

Compiler

Compiled 453 to 229 computations (49.4% saved)

regimes65.0ms (1.3%)

Memory

2.5MiB live, 95.8MiB allocated; 6ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Calls

15 calls:

25.0ms	d
4.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
3.0ms	l
3.0ms	(*.f64 #s(literal 2 binary64) d)
3.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Results

Accuracy	Segments	Branch
87.3%	1	`(/.f64 h l)`
87.3%	1	`(*.f64 #s(literal 2 binary64) d)`
87.3%	1	`(*.f64 M D)`
87.3%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
87.3%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
87.3%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
89.2%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
89.2%	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))))`
89.2%	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)))))`
87.3%	1	`w0`
87.3%	1	`M`
87.3%	1	`D`
87.3%	1	`h`
87.3%	1	`l`
87.3%	1	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes41.0ms (0.8%)

Memory

0.5MiB live, 95.6MiB allocated; 8ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Calls

15 calls:

6.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
3.0ms	(*.f64 M D)
3.0ms	(*.f64 #s(literal 2 binary64) d)
3.0ms	h
3.0ms	l

Results

Accuracy	Segments	Branch
85.8%	1	`(*.f64 #s(literal 2 binary64) d)`
85.8%	1	`M`
85.8%	1	`D`
85.8%	1	`h`
85.8%	1	`l`
85.8%	1	`d`
87.5%	2	`(/.f64 h l)`
85.8%	1	`(*.f64 M D)`
85.8%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
85.8%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
87.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
85.8%	1	`w0`
87.9%	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)))`
87.9%	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))))`
87.9%	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)))))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes38.0ms (0.7%)

Memory

7.6MiB live, 95.2MiB allocated; 10ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

9.0ms	d
4.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
2.0ms	(*.f64 #s(literal 2 binary64) d)
2.0ms	l
2.0ms	h

Results

Accuracy	Segments	Branch
74.3%	2	`M`
75.1%	2	`(*.f64 M D)`
75.4%	2	`D`
72.5%	2	`h`
77.4%	4	`(*.f64 #s(literal 2 binary64) d)`
70.3%	1	`w0`
77.4%	4	`d`
79.2%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
79.2%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
70.3%	1	`l`
75.1%	2	`(/.f64 h l)`
81.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
81.7%	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)))`
81.7%	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))))`
81.7%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes42.0ms (0.8%)

Memory

-44.0MiB live, 52.6MiB allocated; 21ms collecting garbage

Accuracy

Total -2.4b remaining (-10.1%)

Threshold costs -2.4b (-10.1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

15 calls:

18.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
5.0ms	w0
2.0ms	(*.f64 #s(literal 2 binary64) d)
1.0ms	d
1.0ms	h

Results

Accuracy	Segments	Branch
62.3%	1	`w0`
62.3%	1	`l`
62.3%	1	`h`
62.3%	1	`(*.f64 #s(literal 2 binary64) d)`
62.3%	1	`d`
62.3%	1	`M`
62.3%	1	`(*.f64 M D)`
62.3%	1	`(/.f64 h l)`
62.3%	1	`D`
62.3%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
62.3%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
62.3%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
62.3%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
62.3%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
62.3%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.3304030171232997e+186	7.627130674090475e+187

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.5815035306889186e+116	-2.719768406240784e+68

Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify50.0ms (1%)

Memory

25.4MiB live, 72.2MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	232
1	105	232
2	287	232
3	1727	232
4	4927	232

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #s(literal 4999999999999999535784828060900606040346407484460394732313723434808961149812000726600937640905690125124846939902906176613453545840352790929618349426820302567123856137171065939247711125504 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) h)) l)))))
(if (<=.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #s(literal +inf.0 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #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 -100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) (.f64 d (.f64 d l))) #s(literal -1/8 binary64) w0)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) (.f64 d (*.f64 d l))) #s(literal -1/8 binary64) w0))

Outputs
(if (<=.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #s(literal 4999999999999999535784828060900606040346407484460394732313723434808961149812000726600937640905690125124846939902906176613453545840352790929618349426820302567123856137171065939247711125504 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) h)) l)))))
(if (<=.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #s(literal +inf.0 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #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 -100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) (.f64 d (.f64 d l))) #s(literal -1/8 binary64) w0)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) h)) l)))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) (.f64 d (*.f64 d l))) #s(literal -1/8 binary64) w0))

derivations43.0ms (0.8%)

Memory

20.7MiB live, 67.8MiB allocated; 2ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 244 to 65 computations (73.4% saved)

preprocess153.0ms (3%)

Memory

8.7MiB live, 180.7MiB allocated; 64ms collecting garbage

Remove

(sort M D)

(abs d)

(abs D)

(abs M)

Compiler

Compiled 1 280 to 512 computations (60% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze902.0ms (17.6%)

sample2.1s (40.3%)

explain225.0ms (4.4%)

preprocess170.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

series167.0ms (3.3%)

rewrite188.0ms (3.7%)

eval18.0ms (0.3%)

prune31.0ms (0.6%)

series99.0ms (1.9%)

rewrite231.0ms (4.5%)

eval38.0ms (0.7%)

prune33.0ms (0.6%)

series97.0ms (1.9%)

rewrite155.0ms (3%)

eval21.0ms (0.4%)

prune17.0ms (0.3%)

series77.0ms (1.5%)

rewrite99.0ms (1.9%)

eval37.0ms (0.7%)

prune17.0ms (0.3%)

regimes65.0ms (1.3%)

regimes41.0ms (0.8%)

regimes38.0ms (0.7%)

regimes42.0ms (0.8%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify50.0ms (1%)

derivations43.0ms (0.8%)

preprocess153.0ms (3%)

end0.0ms (0%)

Profiling