Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

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

analyze644.0ms (10.7%)

Memory

-15.6MiB live, 662.8MiB allocated; 170ms 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)

sample2.3s (38.1%)

Memory

-8.1MiB live, 2 766.8MiB allocated; 1.4s collecting garbage

Samples

843.0ms	8 256×	0	valid
325.0ms	2 698×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 721.0ms

ival-mult!: 315.0ms (43.7% of total)

ival-pow2: 161.0ms (22.3% of total)

ival-div!: 125.0ms (17.3% of total)

ival-sqrt: 86.0ms (11.9% of total)

ival-sub!: 32.0ms (4.4% of total)

adjust: 3.0ms (0.4% of total)

Bogosity

explain263.0ms (4.4%)

Memory

-56.7MiB live, 304.7MiB allocated; 111ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
38	-	3	(-508584204.76333576 -7.386101908187545e+208 9.540921094044703e-119 8.588075578228753e+103 4.716195297582874e+38 -8.0188625627584705e+245)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
23	-	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))))`
8	-	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)))))`
7	-	0	-	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
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	23	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	51
↳	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	overflow	28
↳	`(*.f64 M D)`	overflow	11
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	27
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	51
↳	`(/.f64 h l)`	overflow	27
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	9	0
`*.f64`	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`	*no**	8	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	52
↳	`(*.f64 M D)`	overflow	11
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	27
↳	`(/.f64 h l)`	underflow	24
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	104
↳	`(*.f64 M D)`	underflow	44
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	63
↳	`(/.f64 h l)`	overflow	27
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	2	0
↳	`(*.f64 M D)`	overflow	11

Confusion

	Predicted +	Predicted -
+	39	11
-	8	198

Precision

0.8297872340425532

Recall

0.78

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	39	0	11
-	8	0	198

Precision?

0.8297872340425532

Recall?

0.78

Freqs

test

number	freq
0	209
1	45
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

119.0ms

512×

valid

Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult!: 12.0ms (42.6% of total)

ival-pow2: 6.0ms (21.3% of total)

ival-div!: 6.0ms (21.3% of total)

ival-sqrt: 4.0ms (14.2% of total)

ival-sub!: 1.0ms (3.6% of total)

adjust: 0.0ms (0% of total)

preprocess197.0ms (3.3%)

Memory

58.6MiB live, 277.9MiB allocated; 85ms 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 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)

Symmetry

(abs 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

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.0%	(.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)))))

Compiler

Compiled 18 to 17 computations (5.6% saved)

series120.0ms (2%)

Memory

10.8MiB live, 98.4MiB allocated; 22ms 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
38.0ms	w0	@	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)
12.0ms	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	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)
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)

rewrite169.0ms (2.8%)

Memory

4.1MiB live, 189.3MiB allocated; 51ms 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
(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
#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))

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

eval68.0ms (1.1%)

Memory: -17.5MiB live, 37.1MiB allocated; 60ms collecting garbage
Compiler: Compiled 6 758 to 895 computations (86.8% saved)

prune7.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	128	7	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	7	136

Accuracy

88.2%

Counts

136 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) h) l))))
	81.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64)) (/.f64 h l)))))
▶	80.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.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)))))
	71.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
▶	17.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 (*.f64 d d) l))))))
▶	63.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 h w0)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
▶	68.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 372 to 304 computations (18.3% saved)

series133.0ms (2.2%)

Memory

-4.4MiB live, 136.7MiB allocated; 15ms collecting garbage

Counts

41 → 300

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	D	@	inf	((* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)))) w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l))) (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)) 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l) (* (pow (* (/ M 2) (/ D d)) 2) h) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D d h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* 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 l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (pow (* D M) 2) (* h w0)) (* (* d d) l)) -1/8) w0) (/ (* (pow (* D M) 2) (* h w0)) (* (* d d) l)) (* (pow (* D M) 2) (* h w0)) (pow (* D M) 2) (* D M) (* h w0) (* (* d d) l) (* d d) -1/8 (* 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))) (* -1/4 (/ (* (pow (* D M) 2) h) (* (* d d) l))) -1/4 (/ (* (pow (* D M) 2) h) (* (* d d) l)) (* (pow (* D M) 2) h))
13.0ms	w0	@	0	((* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)))) w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l))) (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)) 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l) (* (pow (* (/ M 2) (/ D d)) 2) h) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D d h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* 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 l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (pow (* D M) 2) (* h w0)) (* (* d d) l)) -1/8) w0) (/ (* (pow (* D M) 2) (* h w0)) (* (* d d) l)) (* (pow (* D M) 2) (* h w0)) (pow (* D M) 2) (* D M) (* h w0) (* (* d d) l) (* d d) -1/8 (* 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))) (* -1/4 (/ (* (pow (* D M) 2) h) (* (* d d) l))) -1/4 (/ (* (pow (* D M) 2) h) (* (* d d) l)) (* (pow (* D M) 2) h))
7.0ms	d	@	0	((* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)))) w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l))) (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)) 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l) (* (pow (* (/ M 2) (/ D d)) 2) h) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D d h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* 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 l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (pow (* D M) 2) (* h w0)) (* (* d d) l)) -1/8) w0) (/ (* (pow (* D M) 2) (* h w0)) (* (* d d) l)) (* (pow (* D M) 2) (* h w0)) (pow (* D M) 2) (* D M) (* h w0) (* (* d d) l) (* d d) -1/8 (* 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))) (* -1/4 (/ (* (pow (* D M) 2) h) (* (* d d) l))) -1/4 (/ (* (pow (* D M) 2) h) (* (* d d) l)) (* (pow (* D M) 2) h))
6.0ms	h	@	-inf	((* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)))) w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l))) (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)) 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l) (* (pow (* (/ M 2) (/ D d)) 2) h) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D d h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* 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 l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (pow (* D M) 2) (* h w0)) (* (* d d) l)) -1/8) w0) (/ (* (pow (* D M) 2) (* h w0)) (* (* d d) l)) (* (pow (* D M) 2) (* h w0)) (pow (* D M) 2) (* D M) (* h w0) (* (* d d) l) (* d d) -1/8 (* 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))) (* -1/4 (/ (* (pow (* D M) 2) h) (* (* d d) l))) -1/4 (/ (* (pow (* D M) 2) h) (* (* d d) l)) (* (pow (* D M) 2) h))
6.0ms	M	@	inf	((* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)))) w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l))) (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)) 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l) (* (pow (* (/ M 2) (/ D d)) 2) h) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D d h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* 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 l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (pow (* D M) 2) (* h w0)) (* (* d d) l)) -1/8) w0) (/ (* (pow (* D M) 2) (* h w0)) (* (* d d) l)) (* (pow (* D M) 2) (* h w0)) (pow (* D M) 2) (* D M) (* h w0) (* (* d d) l) (* d d) -1/8 (* 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))) (* -1/4 (/ (* (pow (* D M) 2) h) (* (* d d) l))) -1/4 (/ (* (pow (* D M) 2) h) (* (* d d) l)) (* (pow (* D M) 2) h))

rewrite191.0ms (3.2%)

Memory

5.3MiB live, 238.7MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1018	19976
0	1068	18605
0	4859	18184

Stop Event

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

Counts

341 → 433

Calls

Call 1

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

eval37.0ms (0.6%)

Memory: 9.7MiB live, 55.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 13 829 to 1 657 computations (88% saved)

prune33.0ms (0.5%)

Memory

-16.5MiB live, 29.5MiB allocated; 4ms collecting garbage

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	318	17	335
Fresh	1	1	2
Picked	4	1	5
Done	0	0	0
Total	323	19	342

Accuracy

90.2%

Counts

342 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (.f64 (/.f64 D d) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))))) h) l))))
	81.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64)) (/.f64 h l)))))
▶	80.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 D M) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) (/.f64 h l)))))
	81.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (/.f64 h l))))))
	80.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 #s(approx (/ M 2) (.f64 #s(literal 1/2 binary64) M)) (/.f64 D d))) (/.f64 h l)))))
	71.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (* (/ M 2) (/ D d)) 2) h) l)) (fma.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
	20.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 d (*.f64 d l)))))))
	13.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
▶	17.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 (*.f64 d d) l))))))
	13.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (.f64 M M) h) l))))))
▶	64.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 h w0) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 d d)) l) #s(literal -1/8 binary64) w0))
	65.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 h w0)) (.f64 d (*.f64 d l))) #s(literal -1/8 binary64) w0))
	64.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) w0) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	58.2%	#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))
	55.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 h w0)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
▶	63.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 h w0)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	63.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 D M)) #s(literal 2 binary64))) (.f64 h w0)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) w0))
	58.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l)) #s(literal -1/8 binary64) w0))
✓	68.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 1 222 to 928 computations (24.1% saved)

series125.0ms (2.1%)

Memory

-9.8MiB live, 172.3MiB allocated; 20ms collecting garbage

Counts

50 → 319

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
14.0ms	M	@	inf	((* w0 (sqrt (- 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l)))) w0 (sqrt (- 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l))) (- 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l)) 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l) (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) (/ M 2) M 2 (* (/ D d) (* (/ D d) (/ M 2))) (/ D d) D d (* (/ D d) (/ M 2)) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* D M) (* D M)) (* h w0)) (* (* d d) l)) -1/8) w0) (/ (* (* (* D M) (* D M)) (* h w0)) (* (* d d) l)) (* (* (* D M) (* D M)) (* h w0)) (* (* D M) (* D M)) (* D M) (* h w0) (* (* d d) l) (* d d) -1/8 (* 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))) (* -1/4 (/ (* (* (* D M) (* D M)) h) (* (* d d) l))) -1/4 (/ (* (* (* D M) (* D M)) h) (* (* d d) l)) (* (* (* D M) (* D M)) h) (* w0 (sqrt (- 1 (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l))))) (sqrt (- 1 (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l)))) (- 1 (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l))) (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l)) (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ (* D M) (* d 2)) (* d 2) (* (/ M 2) (/ D d)) (/ h l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (/ (* (* h w0) (pow (* D M) 2)) (* d d)) l) -1/8) w0) (/ (/ (* (* h w0) (pow (* D M) 2)) (* d d)) l) (/ (* (* h w0) (pow (* D M) 2)) (* d d)) (* (* h w0) (pow (* D M) 2)) (pow (* D M) 2))
10.0ms	d	@	0	((* w0 (sqrt (- 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l)))) w0 (sqrt (- 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l))) (- 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l)) 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l) (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) (/ M 2) M 2 (* (/ D d) (* (/ D d) (/ M 2))) (/ D d) D d (* (/ D d) (/ M 2)) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* D M) (* D M)) (* h w0)) (* (* d d) l)) -1/8) w0) (/ (* (* (* D M) (* D M)) (* h w0)) (* (* d d) l)) (* (* (* D M) (* D M)) (* h w0)) (* (* D M) (* D M)) (* D M) (* h w0) (* (* d d) l) (* d d) -1/8 (* 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))) (* -1/4 (/ (* (* (* D M) (* D M)) h) (* (* d d) l))) -1/4 (/ (* (* (* D M) (* D M)) h) (* (* d d) l)) (* (* (* D M) (* D M)) h) (* w0 (sqrt (- 1 (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l))))) (sqrt (- 1 (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l)))) (- 1 (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l))) (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l)) (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ (* D M) (* d 2)) (* d 2) (* (/ M 2) (/ D d)) (/ h l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (/ (* (* h w0) (pow (* D M) 2)) (* d d)) l) -1/8) w0) (/ (/ (* (* h w0) (pow (* D M) 2)) (* d d)) l) (/ (* (* h w0) (pow (* D M) 2)) (* d d)) (* (* h w0) (pow (* D M) 2)) (pow (* D M) 2))
9.0ms	h	@	0	((* w0 (sqrt (- 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l)))) w0 (sqrt (- 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l))) (- 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l)) 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l) (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) (/ M 2) M 2 (* (/ D d) (* (/ D d) (/ M 2))) (/ D d) D d (* (/ D d) (/ M 2)) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* D M) (* D M)) (* h w0)) (* (* d d) l)) -1/8) w0) (/ (* (* (* D M) (* D M)) (* h w0)) (* (* d d) l)) (* (* (* D M) (* D M)) (* h w0)) (* (* D M) (* D M)) (* D M) (* h w0) (* (* d d) l) (* d d) -1/8 (* 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))) (* -1/4 (/ (* (* (* D M) (* D M)) h) (* (* d d) l))) -1/4 (/ (* (* (* D M) (* D M)) h) (* (* d d) l)) (* (* (* D M) (* D M)) h) (* w0 (sqrt (- 1 (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l))))) (sqrt (- 1 (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l)))) (- 1 (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l))) (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l)) (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ (* D M) (* d 2)) (* d 2) (* (/ M 2) (/ D d)) (/ h l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (/ (* (* h w0) (pow (* D M) 2)) (* d d)) l) -1/8) w0) (/ (/ (* (* h w0) (pow (* D M) 2)) (* d d)) l) (/ (* (* h w0) (pow (* D M) 2)) (* d d)) (* (* h w0) (pow (* D M) 2)) (pow (* D M) 2))
7.0ms	M	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l)))) w0 (sqrt (- 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l))) (- 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l)) 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l) (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) (/ M 2) M 2 (* (/ D d) (* (/ D d) (/ M 2))) (/ D d) D d (* (/ D d) (/ M 2)) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* D M) (* D M)) (* h w0)) (* (* d d) l)) -1/8) w0) (/ (* (* (* D M) (* D M)) (* h w0)) (* (* d d) l)) (* (* (* D M) (* D M)) (* h w0)) (* (* D M) (* D M)) (* D M) (* h w0) (* (* d d) l) (* d d) -1/8 (* 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))) (* -1/4 (/ (* (* (* D M) (* D M)) h) (* (* d d) l))) -1/4 (/ (* (* (* D M) (* D M)) h) (* (* d d) l)) (* (* (* D M) (* D M)) h) (* w0 (sqrt (- 1 (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l))))) (sqrt (- 1 (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l)))) (- 1 (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l))) (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l)) (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ (* D M) (* d 2)) (* d 2) (* (/ M 2) (/ D d)) (/ h l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (/ (* (* h w0) (pow (* D M) 2)) (* d d)) l) -1/8) w0) (/ (/ (* (* h w0) (pow (* D M) 2)) (* d d)) l) (/ (* (* h w0) (pow (* D M) 2)) (* d d)) (* (* h w0) (pow (* D M) 2)) (pow (* D M) 2))
6.0ms	D	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l)))) w0 (sqrt (- 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l))) (- 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l)) 1 (/ (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) l) (* (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) h) (* (/ M 2) (* (/ D d) (* (/ D d) (/ M 2)))) (/ M 2) M 2 (* (/ D d) (* (/ D d) (/ M 2))) (/ D d) D d (* (/ D d) (/ M 2)) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* D M) (* D M)) (* h w0)) (* (* d d) l)) -1/8) w0) (/ (* (* (* D M) (* D M)) (* h w0)) (* (* d d) l)) (* (* (* D M) (* D M)) (* h w0)) (* (* D M) (* D M)) (* D M) (* h w0) (* (* d d) l) (* d d) -1/8 (* 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))) (* -1/4 (/ (* (* (* D M) (* D M)) h) (* (* d d) l))) -1/4 (/ (* (* (* D M) (* D M)) h) (* (* d d) l)) (* (* (* D M) (* D M)) h) (* w0 (sqrt (- 1 (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l))))) (sqrt (- 1 (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l)))) (- 1 (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l))) (* (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ h l)) (* (/ (* D M) (* d 2)) (* (/ M 2) (/ D d))) (/ (* D M) (* d 2)) (* d 2) (* (/ M 2) (/ D d)) (/ h l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (/ (* (* h w0) (pow (* D M) 2)) (* d d)) l) -1/8) w0) (/ (/ (* (* h w0) (pow (* D M) 2)) (* d d)) l) (/ (* (* h w0) (pow (* D M) 2)) (* d d)) (* (* h w0) (pow (* D M) 2)) (pow (* D M) 2))

rewrite193.0ms (3.2%)

Memory

8.3MiB live, 205.3MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1060	21317
0	1130	19280
0	4999	18852

Stop Event

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

Counts

369 → 534

Calls

Call 1

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

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

eval43.0ms (0.7%)

Memory: 23.5MiB live, 68.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 17 156 to 1 953 computations (88.6% saved)

prune36.0ms (0.6%)

Memory

9.0MiB live, 58.8MiB allocated; 7ms collecting garbage

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	389	10	399
Fresh	5	8	13
Picked	4	1	5
Done	0	1	1
Total	398	20	418

Accuracy

90.3%

Counts

418 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) (.f64 d #s(literal 2 binary64))) h) l))))
▶	76.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 M #s(literal 2 binary64))) h)) l))))
	81.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64)) (/.f64 h l)))))
	80.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 D M) (.f64 d #s(literal 2 binary64))) (.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d))) (/.f64 h l)))))
	81.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (/.f64 h l))))))
	80.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 #s(approx (/ M 2) (.f64 #s(literal 1/2 binary64) M)) (/.f64 D d))) (/.f64 h l)))))
	13.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
	20.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 d (*.f64 d l)))))))
	18.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 D M) (.f64 (.f64 D M) h)) (.f64 (*.f64 d d) l))))))
▶	13.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (.f64 M M) h) l))))))
	69.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 h w0) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) d) l) #s(literal -1/8 binary64) w0))
✓	64.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 h w0) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 d d)) l) #s(literal -1/8 binary64) w0))
	64.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) w0) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	58.2%	#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))
	62.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 D M) D) M) (.f64 h w0)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	65.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 h w0)) (.f64 d (*.f64 d l))) #s(literal -1/8 binary64) w0))
▶	65.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 (.f64 D M) (.f64 h w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
▶	61.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 d d))) l) #s(literal -1/8 binary64) w0))
	63.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 D M)) #s(literal 2 binary64))) (.f64 h w0)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) w0))
✓	68.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 1 253 to 944 computations (24.7% saved)

series181.0ms (3%)

Memory

-31.0MiB live, 203.8MiB allocated; 15ms collecting garbage

Counts

54 → 323

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
26.0ms	d	@	-inf	((* w0 (sqrt (- 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l)))) w0 (sqrt (- 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l))) (- 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l)) 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l) (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) (* (* D M) (* (/ D d) (/ M 2))) (* D M) D M (* (/ D d) (/ M 2)) (/ D d) d (/ M 2) 2 (* d 2) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* D M) (* (* D M) (* h w0))) (* (* d d) l)) -1/8) w0) (/ (* (* D M) (* (* D M) (* h w0))) (* (* d d) l)) (* (* D M) (* (* D M) (* h w0))) (* (* D M) (* h w0)) (* h w0) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* D D) (/ (* (* (* M M) h) w0) (* d d))) l) -1/8) w0) (/ (* (* D D) (/ (* (* (* M M) h) w0) (* d d))) l) (* (* D D) (/ (* (* (* M M) h) w0) (* d d))) (* D D) (/ (* (* (* M M) h) w0) (* d d)) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (* 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))) (* -1/4 (* (/ (* D D) (* d d)) (/ (* (* M M) h) l))) -1/4 (* (/ (* D D) (* d d)) (/ (* (* M M) h) l)) (/ (* D D) (* d d)) (/ (* (* M M) h) l) (* w0 (sqrt (- 1 (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l)))) (sqrt (- 1 (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l))) (- 1 (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l)) (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l) (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) (* (* (* (/ D d) (/ D d)) (/ M 2)) h) (* (* (/ D d) (/ D d)) (/ M 2)) (* (/ D d) (/ D d)))
24.0ms	h	@	-inf	((* w0 (sqrt (- 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l)))) w0 (sqrt (- 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l))) (- 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l)) 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l) (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) (* (* D M) (* (/ D d) (/ M 2))) (* D M) D M (* (/ D d) (/ M 2)) (/ D d) d (/ M 2) 2 (* d 2) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* D M) (* (* D M) (* h w0))) (* (* d d) l)) -1/8) w0) (/ (* (* D M) (* (* D M) (* h w0))) (* (* d d) l)) (* (* D M) (* (* D M) (* h w0))) (* (* D M) (* h w0)) (* h w0) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* D D) (/ (* (* (* M M) h) w0) (* d d))) l) -1/8) w0) (/ (* (* D D) (/ (* (* (* M M) h) w0) (* d d))) l) (* (* D D) (/ (* (* (* M M) h) w0) (* d d))) (* D D) (/ (* (* (* M M) h) w0) (* d d)) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (* 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))) (* -1/4 (* (/ (* D D) (* d d)) (/ (* (* M M) h) l))) -1/4 (* (/ (* D D) (* d d)) (/ (* (* M M) h) l)) (/ (* D D) (* d d)) (/ (* (* M M) h) l) (* w0 (sqrt (- 1 (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l)))) (sqrt (- 1 (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l))) (- 1 (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l)) (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l) (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) (* (* (* (/ D d) (/ D d)) (/ M 2)) h) (* (* (/ D d) (/ D d)) (/ M 2)) (* (/ D d) (/ D d)))
20.0ms	D	@	0	((* w0 (sqrt (- 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l)))) w0 (sqrt (- 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l))) (- 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l)) 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l) (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) (* (* D M) (* (/ D d) (/ M 2))) (* D M) D M (* (/ D d) (/ M 2)) (/ D d) d (/ M 2) 2 (* d 2) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* D M) (* (* D M) (* h w0))) (* (* d d) l)) -1/8) w0) (/ (* (* D M) (* (* D M) (* h w0))) (* (* d d) l)) (* (* D M) (* (* D M) (* h w0))) (* (* D M) (* h w0)) (* h w0) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* D D) (/ (* (* (* M M) h) w0) (* d d))) l) -1/8) w0) (/ (* (* D D) (/ (* (* (* M M) h) w0) (* d d))) l) (* (* D D) (/ (* (* (* M M) h) w0) (* d d))) (* D D) (/ (* (* (* M M) h) w0) (* d d)) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (* 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))) (* -1/4 (* (/ (* D D) (* d d)) (/ (* (* M M) h) l))) -1/4 (* (/ (* D D) (* d d)) (/ (* (* M M) h) l)) (/ (* D D) (* d d)) (/ (* (* M M) h) l) (* w0 (sqrt (- 1 (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l)))) (sqrt (- 1 (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l))) (- 1 (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l)) (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l) (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) (* (* (* (/ D d) (/ D d)) (/ M 2)) h) (* (* (/ D d) (/ D d)) (/ M 2)) (* (/ D d) (/ D d)))
11.0ms	M	@	inf	((* w0 (sqrt (- 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l)))) w0 (sqrt (- 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l))) (- 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l)) 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l) (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) (* (* D M) (* (/ D d) (/ M 2))) (* D M) D M (* (/ D d) (/ M 2)) (/ D d) d (/ M 2) 2 (* d 2) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* D M) (* (* D M) (* h w0))) (* (* d d) l)) -1/8) w0) (/ (* (* D M) (* (* D M) (* h w0))) (* (* d d) l)) (* (* D M) (* (* D M) (* h w0))) (* (* D M) (* h w0)) (* h w0) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* D D) (/ (* (* (* M M) h) w0) (* d d))) l) -1/8) w0) (/ (* (* D D) (/ (* (* (* M M) h) w0) (* d d))) l) (* (* D D) (/ (* (* (* M M) h) w0) (* d d))) (* D D) (/ (* (* (* M M) h) w0) (* d d)) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (* 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))) (* -1/4 (* (/ (* D D) (* d d)) (/ (* (* M M) h) l))) -1/4 (* (/ (* D D) (* d d)) (/ (* (* M M) h) l)) (/ (* D D) (* d d)) (/ (* (* M M) h) l) (* w0 (sqrt (- 1 (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l)))) (sqrt (- 1 (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l))) (- 1 (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l)) (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l) (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) (* (* (* (/ D d) (/ D d)) (/ M 2)) h) (* (* (/ D d) (/ D d)) (/ M 2)) (* (/ D d) (/ D d)))
9.0ms	D	@	inf	((* w0 (sqrt (- 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l)))) w0 (sqrt (- 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l))) (- 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l)) 1 (/ (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l) (* (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) (* (* D M) (* (/ D d) (/ M 2))) (* D M) D M (* (/ D d) (/ M 2)) (/ D d) d (/ M 2) 2 (* d 2) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* D M) (* (* D M) (* h w0))) (* (* d d) l)) -1/8) w0) (/ (* (* D M) (* (* D M) (* h w0))) (* (* d d) l)) (* (* D M) (* (* D M) (* h w0))) (* (* D M) (* h w0)) (* h w0) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* D D) (/ (* (* (* M M) h) w0) (* d d))) l) -1/8) w0) (/ (* (* D D) (/ (* (* (* M M) h) w0) (* d d))) l) (* (* D D) (/ (* (* (* M M) h) w0) (* d d))) (* D D) (/ (* (* (* M M) h) w0) (* d d)) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (* 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))) (* -1/4 (* (/ (* D D) (* d d)) (/ (* (* M M) h) l))) -1/4 (* (/ (* D D) (* d d)) (/ (* (* M M) h) l)) (/ (* D D) (* d d)) (/ (* (* M M) h) l) (* w0 (sqrt (- 1 (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l)))) (sqrt (- 1 (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l))) (- 1 (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l)) (/ (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) l) (* (/ M 2) (* (* (* (/ D d) (/ D d)) (/ M 2)) h)) (* (* (* (/ D d) (/ D d)) (/ M 2)) h) (* (* (/ D d) (/ D d)) (/ M 2)) (* (/ D d) (/ D d)))

rewrite201.0ms (3.3%)

Memory

8.0MiB live, 191.0MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1084	21459
0	1156	20344
0	5057	19916

Stop Event

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

Counts

377 → 511

Calls

Call 1

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

eval62.0ms (1%)

Memory: 19.7MiB live, 110.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 31 966 to 2 560 computations (92% saved)

prune58.0ms (1%)

Memory

0.5MiB live, 100.5MiB allocated; 25ms collecting garbage

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	619	13	632
Fresh	4	9	13
Picked	5	0	5
Done	1	1	2
Total	629	23	652

Accuracy

90.3%

Counts

652 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) (*.f64 d #s(literal 2 binary64))) h) l))))
	84.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 (/.f64 D d) #s(approx (/ M 2) (.f64 #s(literal 1/2 binary64) M)))) (*.f64 d #s(literal 2 binary64))) h) l))))
	64.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (.f64 #s(approx ( (* (/ D d) (/ D d)) (/ M 2)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 D D) M)) (.f64 d d))) h)) l))))
	81.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64)) (/.f64 h l)))))
	80.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 D M) (.f64 d #s(literal 2 binary64))) (.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d))) (/.f64 h l)))))
	80.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 #s(approx (/ M 2) (.f64 #s(literal 1/2 binary64) M)) (/.f64 D d))) (/.f64 h l)))))
	13.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l))))))
	20.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 d (*.f64 d l)))))))
	18.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 D M) (.f64 (.f64 D M) h)) (.f64 (*.f64 d d) l))))))
	15.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (/.f64 D d) D) d) (/.f64 (.f64 (*.f64 M M) h) l))))))
	15.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D (/.f64 D (.f64 d d))) (/.f64 (.f64 (.f64 M M) h) l))))))
	66.4%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( (/ (* (* D M) (* (/ D d) (/ M 2))) (* d 2)) h) l))) (fma.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (*.f64 M M) (/.f64 h l))) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	69.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 h w0) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) d) l) #s(literal -1/8 binary64) w0))
	68.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M D) h) w0) (.f64 M D)) (.f64 d d)) l) #s(literal -1/8 binary64) w0))
	61.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 d d))) (.f64 D D)) l) #s(literal -1/8 binary64) w0))
	58.2%	#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))
	65.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 (.f64 (.f64 h w0) M) D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	67.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 (.f64 D M) (.f64 h w0))) (.f64 d (*.f64 d l))) #s(literal -1/8 binary64) w0))
	63.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 D M)) #s(literal 2 binary64))) (.f64 h w0)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) w0))
	66.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 (.f64 M D) h) w0))) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	69.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 d d)) (/.f64 (.f64 (.f64 (.f64 M D) h) w0) l)) #s(literal -1/8 binary64) w0))
	68.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 (.f64 (.f64 M D) h) w0) (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
✓	68.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 2 393 to 923 computations (61.4% saved)

regimes197.0ms (3.3%)

Memory

15.5MiB live, 243.7MiB allocated; 45ms collecting garbage

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

15 calls:

28.0ms	w0
22.0ms	h
14.0ms	d
12.0ms	l
12.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
84.8%	1	`(/.f64 h l)`
84.8%	1	`(*.f64 #s(literal 2 binary64) d)`
86.6%	2	`(*.f64 M D)`
87.2%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
87.2%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
88.8%	3	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.8%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.8%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.8%	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)))))`
84.8%	1	`w0`
86.6%	2	`M`
84.8%	1	`D`
84.8%	1	`h`
84.8%	1	`l`
84.8%	1	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes61.0ms (1%)

Memory

-23.5MiB live, 70.9MiB allocated; 14ms collecting garbage

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

14.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
10.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
9.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
9.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
9.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
86.8%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.8%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
84.7%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
84.7%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
84.7%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
84.7%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`

Compiler

Compiled 78 to 82 computations (-5.1% saved)

regimes18.0ms (0.3%)

Memory

24.7MiB live, 24.7MiB allocated; 0ms collecting garbage

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

8.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
8.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
86.8%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.8%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 16 to 21 computations (-31.3% saved)

regimes27.0ms (0.4%)

Memory

-10.7MiB live, 36.3MiB allocated; 2ms collecting garbage

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

8.0ms	M
6.0ms	(*.f64 M D)
6.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
6.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
84.0%	1	`(*.f64 M D)`
84.0%	1	`M`
86.4%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.4%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 20 to 34 computations (-70% saved)

regimes82.0ms (1.4%)

Memory

13.1MiB live, 105.9MiB allocated; 5ms collecting garbage

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

13 calls:

8.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
8.0ms	d
7.0ms	l
6.0ms	w0
6.0ms	D

Results

Accuracy	Segments	Branch
87.5%	3	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
87.5%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
87.5%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
87.5%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
80.0%	1	`w0`
83.0%	2	`D`
85.6%	3	`(/.f64 h l)`
82.2%	2	`(*.f64 #s(literal 2 binary64) d)`
83.1%	3	`l`
82.2%	2	`d`
80.0%	1	`h`
86.5%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.5%	3	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 89 to 127 computations (-42.7% saved)

regimes51.0ms (0.8%)

Memory

15.4MiB live, 63.5MiB allocated; 5ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

7.0ms	(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))))
6.0ms	M
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)))))
6.0ms	(/.f64 h l)
5.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
76.2%	2	`(/.f64 h l)`
80.1%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
80.1%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
75.5%	2	`(*.f64 M D)`
74.1%	2	`M`
83.9%	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)))`
83.9%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
82.0%	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)))))`
83.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 85 to 102 computations (-20% saved)

regimes27.0ms (0.5%)

Memory

-11.1MiB live, 35.2MiB allocated; 2ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
76.0%	3	`(*.f64 #s(literal 2 binary64) d)`
76.0%	3	`d`
82.4%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
82.4%	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))))`
75.0%	2	`D`
81.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 49 to 64 computations (-30.6% saved)

regimes38.0ms (0.6%)

Memory

3.1MiB live, 49.4MiB allocated; 2ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

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

Calls

9 calls:

5.0ms	w0
4.0ms	l
4.0ms	h
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)))))
4.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Results

Accuracy	Segments	Branch
78.6%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
78.6%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
79.4%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
79.3%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
79.3%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
69.8%	1	`h`
69.8%	1	`w0`
73.9%	3	`l`
79.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 81 to 100 computations (-23.5% saved)

regimes17.0ms (0.3%)

Memory

-15.8MiB live, 30.8MiB allocated; 2ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

15 calls:

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

Results

Accuracy	Segments	Branch
68.3%	1	`h`
68.3%	1	`w0`
68.3%	1	`l`
68.3%	1	`M`
68.3%	1	`(*.f64 #s(literal 2 binary64) d)`
68.3%	1	`d`
68.3%	1	`D`
68.3%	1	`(*.f64 M D)`
68.3%	1	`(/.f64 h l)`
68.3%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
68.3%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
68.3%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
68.3%	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)))`
68.3%	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))))`
68.3%	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)))))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.229553385623685e+307	+inf

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.523722096708018e+249	2.877470050143319e+250

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.523722096708018e+249	2.877470050143319e+250

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.523722096708018e+249	2.877470050143319e+250

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0931289678592707e-7	NaN
0.0ms	-inf	-7.83160065775178e+303

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.5815196779792564	-1.5643722556156708e-15

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-221242932986.65677	-2.5815196779792564

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	1.229553385623685e+307	+inf

Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify124.0ms (2.1%)

Memory

-1.7MiB live, 45.3MiB allocated; 129ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	728
1	164	728
2	279	728
3	1106	728
4	6032	728

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 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (+.f64 d d)) #s(literal 2 binary64)) (/.f64 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 d (.f64 d l))))))) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 4999999999999999605484165416073513287770213846876111186433258848359206308319668001390237070852677072055182040559071162005202392857270657642140628876378645811821251708536483929887060237325184580570276667596004815337391042777347986076698776288257638400 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) (.f64 d #s(literal 2 binary64))) h) l)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 d (*.f64 d l))))))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 4999999999999999605484165416073513287770213846876111186433258848359206308319668001390237070852677072055182040559071162005202392857270657642140628876378645811821251708536483929887060237325184580570276667596004815337391042777347986076698776288257638400 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) (.f64 d #s(literal 2 binary64))) h) l)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 d (*.f64 d l))))))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 4999999999999999605484165416073513287770213846876111186433258848359206308319668001390237070852677072055182040559071162005202392857270657642140628876378645811821251708536483929887060237325184580570276667596004815337391042777347986076698776288257638400 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 (/.f64 D d) #s(approx (/ M 2) (.f64 #s(literal 1/2 binary64) M)))) (.f64 d #s(literal 2 binary64))) h) l)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 d (*.f64 d l))))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 d (.f64 d l))))))) (if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 D M) (.f64 d #s(literal 2 binary64))) (.f64 #s(approx (/ M 2) (.f64 #s(literal 1/2 binary64) M)) (/.f64 D d))) (/.f64 h l))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 (.f64 (.f64 M D) h) w0) (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 d (.f64 d l))))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 D M) (.f64 (.f64 D M) h)) (.f64 (.f64 d d) l)))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(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 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) #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 M D) (/.f64 (.f64 (.f64 (.f64 M D) h) w0) (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) 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 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (+.f64 d d)) #s(literal 2 binary64)) (/.f64 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 d (.f64 d l))))))) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 4999999999999999605484165416073513287770213846876111186433258848359206308319668001390237070852677072055182040559071162005202392857270657642140628876378645811821251708536483929887060237325184580570276667596004815337391042777347986076698776288257638400 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) (.f64 d #s(literal 2 binary64))) h) l)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 d (*.f64 d l))))))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 4999999999999999605484165416073513287770213846876111186433258848359206308319668001390237070852677072055182040559071162005202392857270657642140628876378645811821251708536483929887060237325184580570276667596004815337391042777347986076698776288257638400 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 D M) (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) (.f64 d #s(literal 2 binary64))) h) l)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 d (*.f64 d l))))))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 4999999999999999605484165416073513287770213846876111186433258848359206308319668001390237070852677072055182040559071162005202392857270657642140628876378645811821251708536483929887060237325184580570276667596004815337391042777347986076698776288257638400 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 (/.f64 D d) #s(approx (/ M 2) (.f64 #s(literal 1/2 binary64) M)))) (.f64 d #s(literal 2 binary64))) h) l)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 d (*.f64 d l))))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 d (.f64 d l))))))) (if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 D M) (.f64 d #s(literal 2 binary64))) (.f64 #s(approx (/ M 2) (.f64 #s(literal 1/2 binary64) M)) (/.f64 D d))) (/.f64 h l))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 (.f64 (.f64 M D) h) w0) (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 d (.f64 d l))))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 D M) (.f64 (.f64 D M) h)) (.f64 (.f64 d d) l)))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(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 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) #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 M D) (/.f64 (.f64 (.f64 (.f64 M D) h) w0) (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

derivations181.0ms (3%)

Memory

-15.8MiB live, 125.7MiB allocated; 17ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 728 to 127 computations (82.6% saved)

preprocess145.0ms (2.4%)

Memory

44.7MiB live, 177.3MiB allocated; 33ms collecting garbage

Remove

(sort M D)

(abs d)

(abs D)

(abs M)

Compiler

Compiled 3 064 to 996 computations (67.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze644.0ms (10.7%)

sample2.3s (38.1%)

explain263.0ms (4.4%)

preprocess197.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

series120.0ms (2%)

rewrite169.0ms (2.8%)

eval68.0ms (1.1%)

prune7.0ms (0.1%)

series133.0ms (2.2%)

rewrite191.0ms (3.2%)

eval37.0ms (0.6%)

prune33.0ms (0.5%)

series125.0ms (2.1%)

rewrite193.0ms (3.2%)

eval43.0ms (0.7%)

prune36.0ms (0.6%)

series181.0ms (3%)

rewrite201.0ms (3.3%)

eval62.0ms (1%)

prune58.0ms (1%)

regimes197.0ms (3.3%)

regimes61.0ms (1%)

regimes18.0ms (0.3%)

regimes27.0ms (0.4%)

regimes82.0ms (1.4%)

regimes51.0ms (0.8%)

regimes27.0ms (0.5%)

regimes38.0ms (0.6%)

regimes17.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify124.0ms (2.1%)

derivations181.0ms (3%)

preprocess145.0ms (2.4%)

end0.0ms (0%)

Profiling