Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

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

analyze510.0ms (10.5%)

Memory

10.3MiB live, 767.7MiB allocated; 129ms 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)

sample1.5s (31.6%)

Memory

23.3MiB live, 2 216.3MiB allocated; 341ms collecting garbage

Samples

788.0ms	8 256×	0	valid
314.0ms	2 757×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 737.0ms

ival-mult!: 212.0ms (28.7% of total)

ival-div!: 208.0ms (28.2% of total)

ival-pow2: 157.0ms (21.3% of total)

ival-sqrt: 131.0ms (17.8% of total)

ival-sub!: 27.0ms (3.7% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess57.0ms (1.2%)

Memory

-13.4MiB live, 31.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	168	514
1	545	510
2	1648	510
3	4808	510

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Symmetry

(abs M)

(abs D)

(abs d)

(negabs w0)

(sort M D)

Compiler

Compiled 36 to 34 computations (5.6% saved)

series92.0ms (1.9%)

Memory

19.9MiB live, 65.9MiB allocated; 11ms 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
21.0ms	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)
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	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)
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)

rewrite189.0ms (3.9%)

Memory

-40.5MiB live, 105.7MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	745	6259
0	758	6005
0	4270	5864

Stop Event

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

Counts

117 → 137

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

eval13.0ms (0.3%)

Memory: 18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 972 to 907 computations (77.2% saved)

prune8.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	115	10	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	10	126

Accuracy

90.1%

Counts

126 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.1%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l)))) w0)
▶	86.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) h) l))))
	80.7%	(.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)))))
	49.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) (/.f64 h l)))))
▶	50.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
▶	54.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 d d)) #s(literal 1/4 binary64))) l))))
	12.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))))
▶	50.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	49.3%	#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))
▶	68.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 474 to 462 computations (2.5% saved)

series138.0ms (2.9%)

Memory

0.6MiB live, 148.3MiB allocated; 14ms collecting garbage

Counts

41 → 235

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	h	@	0	((* w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l))) (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)) 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) d h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -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))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/4) 1) -1/4 (* 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))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4) (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)
11.0ms	M	@	0	((* w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l))) (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)) 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) d h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -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))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/4) 1) -1/4 (* 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))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4) (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)
5.0ms	D	@	inf	((* w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l))) (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)) 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) d h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -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))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/4) 1) -1/4 (* 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))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4) (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)
5.0ms	M	@	inf	((* w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l))) (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)) 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) d h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -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))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/4) 1) -1/4 (* 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))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4) (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)
5.0ms	h	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l))) (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)) 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) d h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -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))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/4) 1) -1/4 (* 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))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4) (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)

rewrite191.0ms (3.9%)

Memory

18.2MiB live, 340.3MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	982	14954
0	1028	13658
0	5064	13336

Stop Event

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

Counts

276 → 381

Calls

Call 1

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

eval42.0ms (0.9%)

Memory: -7.8MiB live, 137.0MiB allocated; 13ms collecting garbage
Compiler: Compiled 7 761 to 2 302 computations (70.3% saved)

prune22.0ms (0.4%)

Memory

-23.7MiB live, 74.1MiB allocated; 8ms collecting garbage

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	365	13	378
Fresh	3	2	5
Picked	3	2	5
Done	0	0	0
Total	371	17	388

Accuracy

90.4%

Counts

388 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.4%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))))) w0)
	81.1%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l)))) w0)
	61.9%	(.f64 #s(approx (sqrt (- 1 (/ ( (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64))) w0)
	84.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (*.f64 M (/.f64 D (+.f64 d d)))) h) l))))
▶	85.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 D (+.f64 d d)) M) M) (/.f64 D (+.f64 d d))) h) l))))
	80.7%	(.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)))))
	13.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))))
✓	50.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
	53.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 d (.f64 d l))) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
	48.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
▶	76.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) D) D) d) d) #s(literal 1/4 binary64))) l))))
▶	13.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 d d)) #s(literal -1/4 binary64))) l))))
	52.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 d (.f64 d l))) #s(literal -1/8 binary64) #s(literal 1 binary64))))
▶	49.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l)))) #s(literal -1/8 binary64) #s(literal 1 binary64))))
▶	12.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))))
	49.3%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 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))
✓	68.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 840 to 806 computations (4% saved)

series120.0ms (2.5%)

Memory

30.6MiB live, 314.4MiB allocated; 30ms collecting garbage

Counts

53 → 264

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	h	@	inf	((* w0 (sqrt (- 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l))) (- 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l)) 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l) (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) (* (* (/ D (+ d d)) M) M) (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) d M h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (* (/ (* (* (* (* M M) h) D) D) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) D) D) (* (* d d) l)) (* (* (* (* M M) h) D) D) (* (* (* M M) h) D) (* (* M M) h) (* M M) (* (* 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)))) (+ (* (* (* D D) (* (* M M) (/ h (* (* d d) l)))) -1/8) 1) (* (* D D) (* (* M M) (/ h (* (* d d) l)))) (* D D) (* (* M M) (/ h (* (* d d) l))) (/ h (* (* d d) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* (* M M) h) D) D) (* d d)) -1/4) (/ (* (* (* (* M M) h) D) D) (* d d)) -1/4 (* 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))) (/ (- l (* (/ (/ (* (* (* (* M M) h) D) D) d) d) 1/4)) l) (- l (* (/ (/ (* (* (* (* M M) h) D) D) d) d) 1/4)) (* (/ (/ (* (* (* (* M M) h) D) D) d) d) 1/4) (/ (/ (* (* (* (* M M) h) D) D) d) d) (/ (* (* (* (* M M) h) D) D) d) 1/4)
8.0ms	M	@	inf	((* w0 (sqrt (- 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l))) (- 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l)) 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l) (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) (* (* (/ D (+ d d)) M) M) (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) d M h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (* (/ (* (* (* (* M M) h) D) D) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) D) D) (* (* d d) l)) (* (* (* (* M M) h) D) D) (* (* (* M M) h) D) (* (* M M) h) (* M M) (* (* 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)))) (+ (* (* (* D D) (* (* M M) (/ h (* (* d d) l)))) -1/8) 1) (* (* D D) (* (* M M) (/ h (* (* d d) l)))) (* D D) (* (* M M) (/ h (* (* d d) l))) (/ h (* (* d d) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* (* M M) h) D) D) (* d d)) -1/4) (/ (* (* (* (* M M) h) D) D) (* d d)) -1/4 (* 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))) (/ (- l (* (/ (/ (* (* (* (* M M) h) D) D) d) d) 1/4)) l) (- l (* (/ (/ (* (* (* (* M M) h) D) D) d) d) 1/4)) (* (/ (/ (* (* (* (* M M) h) D) D) d) d) 1/4) (/ (/ (* (* (* (* M M) h) D) D) d) d) (/ (* (* (* (* M M) h) D) D) d) 1/4)
8.0ms	D	@	0	((* w0 (sqrt (- 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l))) (- 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l)) 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l) (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) (* (* (/ D (+ d d)) M) M) (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) d M h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (* (/ (* (* (* (* M M) h) D) D) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) D) D) (* (* d d) l)) (* (* (* (* M M) h) D) D) (* (* (* M M) h) D) (* (* M M) h) (* M M) (* (* 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)))) (+ (* (* (* D D) (* (* M M) (/ h (* (* d d) l)))) -1/8) 1) (* (* D D) (* (* M M) (/ h (* (* d d) l)))) (* D D) (* (* M M) (/ h (* (* d d) l))) (/ h (* (* d d) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* (* M M) h) D) D) (* d d)) -1/4) (/ (* (* (* (* M M) h) D) D) (* d d)) -1/4 (* 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))) (/ (- l (* (/ (/ (* (* (* (* M M) h) D) D) d) d) 1/4)) l) (- l (* (/ (/ (* (* (* (* M M) h) D) D) d) d) 1/4)) (* (/ (/ (* (* (* (* M M) h) D) D) d) d) 1/4) (/ (/ (* (* (* (* M M) h) D) D) d) d) (/ (* (* (* (* M M) h) D) D) d) 1/4)
7.0ms	h	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l))) (- 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l)) 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l) (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) (* (* (/ D (+ d d)) M) M) (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) d M h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (* (/ (* (* (* (* M M) h) D) D) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) D) D) (* (* d d) l)) (* (* (* (* M M) h) D) D) (* (* (* M M) h) D) (* (* M M) h) (* M M) (* (* 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)))) (+ (* (* (* D D) (* (* M M) (/ h (* (* d d) l)))) -1/8) 1) (* (* D D) (* (* M M) (/ h (* (* d d) l)))) (* D D) (* (* M M) (/ h (* (* d d) l))) (/ h (* (* d d) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* (* M M) h) D) D) (* d d)) -1/4) (/ (* (* (* (* M M) h) D) D) (* d d)) -1/4 (* 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))) (/ (- l (* (/ (/ (* (* (* (* M M) h) D) D) d) d) 1/4)) l) (- l (* (/ (/ (* (* (* (* M M) h) D) D) d) d) 1/4)) (* (/ (/ (* (* (* (* M M) h) D) D) d) d) 1/4) (/ (/ (* (* (* (* M M) h) D) D) d) d) (/ (* (* (* (* M M) h) D) D) d) 1/4)
7.0ms	d	@	inf	((* w0 (sqrt (- 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l))) (- 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l)) 1 (/ (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) l) (* (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) h) (* (* (* (/ D (+ d d)) M) M) (/ D (+ d d))) (* (* (/ D (+ d d)) M) M) (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) d M h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (* (/ (* (* (* (* M M) h) D) D) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) D) D) (* (* d d) l)) (* (* (* (* M M) h) D) D) (* (* (* M M) h) D) (* (* M M) h) (* M M) (* (* 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)))) (+ (* (* (* D D) (* (* M M) (/ h (* (* d d) l)))) -1/8) 1) (* (* D D) (* (* M M) (/ h (* (* d d) l)))) (* D D) (* (* M M) (/ h (* (* d d) l))) (/ h (* (* d d) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* (* M M) h) D) D) (* d d)) -1/4) (/ (* (* (* (* M M) h) D) D) (* d d)) -1/4 (* 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))) (/ (- l (* (/ (/ (* (* (* (* M M) h) D) D) d) d) 1/4)) l) (- l (* (/ (/ (* (* (* (* M M) h) D) D) d) d) 1/4)) (* (/ (/ (* (* (* (* M M) h) D) D) d) d) 1/4) (/ (/ (* (* (* (* M M) h) D) D) d) d) (/ (* (* (* (* M M) h) D) D) d) 1/4)

rewrite198.0ms (4.1%)

Memory

-25.6MiB live, 306.9MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1045	16259
0	1112	14817
1	5240	14545
0	8071	14189

Stop Event

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

Counts

317 → 499

Calls

Call 1

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

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

eval48.0ms (1%)

Memory: 33.0MiB live, 125.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 8 295 to 3 047 computations (63.3% saved)

prune28.0ms (0.6%)

Memory

-39.1MiB live, 58.6MiB allocated; 8ms collecting garbage

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	448	17	465
Fresh	6	4	10
Picked	4	1	5
Done	0	2	2
Total	458	24	482

Accuracy

90.5%

Counts

482 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.4%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))))) w0)
	81.1%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l)))) w0)
	14.1%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) h) (/.f64 D (.f64 d d))) #s(literal -1/4 binary64))) l))) w0)
	61.9%	(.f64 #s(approx (sqrt (- 1 (/ ( (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64))) w0)
▶	12.8%	(.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) h) (/.f64 D (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)))) w0)
	77.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 D (+.f64 d d)) (*.f64 M M)) D) (+.f64 d d)) h) l))))
▶	85.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (*.f64 M D) (+.f64 d d))) h) l))))
✓	85.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 D (+.f64 d d)) M) M) (/.f64 D (+.f64 d d))) h) l))))
✓	50.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
	65.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
▶	16.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (.f64 (/.f64 (.f64 (.f64 (.f64 (*.f64 M M) D) h) (/.f64 D d)) d) #s(literal -1/4 binary64))) l))))
	17.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 d d)) #s(literal -1/4 binary64))) l))))
	13.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)) #s(literal -1/4 binary64))) l))))
	14.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal -1/4 binary64))) l))))
▶	12.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (.f64 (.f64 (.f64 (.f64 M M) h) (/.f64 (.f64 D D) (.f64 d d))) #s(literal -1/4 binary64))) l))))
	14.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) h) (/.f64 D (.f64 (*.f64 d d) l))) #s(literal -1/4 binary64)))))
	53.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) (.f64 M (.f64 M (/.f64 h (.f64 (.f64 d d) l))))) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	12.9%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 d (*.f64 d l))) #s(literal -1/8 binary64)))))
▶	13.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) h) (/.f64 D (.f64 d d))) l) #s(literal -1/8 binary64)))))
	12.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) h) (.f64 d d)) (/.f64 D l)) #s(literal -1/8 binary64)))))
	11.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal -1/8 binary64)))))
	15.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) (/.f64 h (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)))))
	49.3%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 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))
✓	68.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 1 403 to 1 365 computations (2.7% saved)

series122.0ms (2.5%)

Memory

12.6MiB live, 266.7MiB allocated; 46ms collecting garbage

Counts

55 → 278

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
21.0ms	h	@	inf	((* w0 (sqrt (- 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l)))) w0 (sqrt (- 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l))) (- 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l)) 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l) (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) (/ (* M D) (+ d d)) (* M D) M D (+ d d) d h l (* (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) w0) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (* (* (* (* (* M M) D) h) (/ D (* (* d d) l))) -1/8) (* (* (* (* M M) D) h) (/ D (* (* d d) l))) (* (* (* M M) D) h) (* (* M M) D) (* M M) (/ D (* (* d d) l)) (* (* 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)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (* (/ (* (* (* (* M M) D) h) (/ D (* d d))) l) -1/8) (/ (* (* (* (* M M) D) h) (/ D (* d d))) l) (* (* (* (* M M) D) h) (/ D (* d d))) (/ D (* d d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (* (* (* M M) h) (/ (* D D) (* d d))) -1/4) (* (* (* M M) h) (/ (* D D) (* d d))) (* (* M M) h) (/ (* D D) (* d d)) (* D D) -1/4 (* 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))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* (* M M) D) h) (/ D d)) d) -1/4) (/ (* (* (* (* M M) D) h) (/ D d)) d) (* (* (* (* M M) D) h) (/ D d)) (/ D d))
9.0ms	D	@	inf	((* w0 (sqrt (- 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l)))) w0 (sqrt (- 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l))) (- 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l)) 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l) (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) (/ (* M D) (+ d d)) (* M D) M D (+ d d) d h l (* (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) w0) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (* (* (* (* (* M M) D) h) (/ D (* (* d d) l))) -1/8) (* (* (* (* M M) D) h) (/ D (* (* d d) l))) (* (* (* M M) D) h) (* (* M M) D) (* M M) (/ D (* (* d d) l)) (* (* 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)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (* (/ (* (* (* (* M M) D) h) (/ D (* d d))) l) -1/8) (/ (* (* (* (* M M) D) h) (/ D (* d d))) l) (* (* (* (* M M) D) h) (/ D (* d d))) (/ D (* d d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (* (* (* M M) h) (/ (* D D) (* d d))) -1/4) (* (* (* M M) h) (/ (* D D) (* d d))) (* (* M M) h) (/ (* D D) (* d d)) (* D D) -1/4 (* 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))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* (* M M) D) h) (/ D d)) d) -1/4) (/ (* (* (* (* M M) D) h) (/ D d)) d) (* (* (* (* M M) D) h) (/ D d)) (/ D d))
8.0ms	D	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l)))) w0 (sqrt (- 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l))) (- 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l)) 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l) (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) (/ (* M D) (+ d d)) (* M D) M D (+ d d) d h l (* (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) w0) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (* (* (* (* (* M M) D) h) (/ D (* (* d d) l))) -1/8) (* (* (* (* M M) D) h) (/ D (* (* d d) l))) (* (* (* M M) D) h) (* (* M M) D) (* M M) (/ D (* (* d d) l)) (* (* 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)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (* (/ (* (* (* (* M M) D) h) (/ D (* d d))) l) -1/8) (/ (* (* (* (* M M) D) h) (/ D (* d d))) l) (* (* (* (* M M) D) h) (/ D (* d d))) (/ D (* d d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (* (* (* M M) h) (/ (* D D) (* d d))) -1/4) (* (* (* M M) h) (/ (* D D) (* d d))) (* (* M M) h) (/ (* D D) (* d d)) (* D D) -1/4 (* 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))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* (* M M) D) h) (/ D d)) d) -1/4) (/ (* (* (* (* M M) D) h) (/ D d)) d) (* (* (* (* M M) D) h) (/ D d)) (/ D d))
7.0ms	d	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l)))) w0 (sqrt (- 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l))) (- 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l)) 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l) (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) (/ (* M D) (+ d d)) (* M D) M D (+ d d) d h l (* (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) w0) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (* (* (* (* (* M M) D) h) (/ D (* (* d d) l))) -1/8) (* (* (* (* M M) D) h) (/ D (* (* d d) l))) (* (* (* M M) D) h) (* (* M M) D) (* M M) (/ D (* (* d d) l)) (* (* 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)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (* (/ (* (* (* (* M M) D) h) (/ D (* d d))) l) -1/8) (/ (* (* (* (* M M) D) h) (/ D (* d d))) l) (* (* (* (* M M) D) h) (/ D (* d d))) (/ D (* d d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (* (* (* M M) h) (/ (* D D) (* d d))) -1/4) (* (* (* M M) h) (/ (* D D) (* d d))) (* (* M M) h) (/ (* D D) (* d d)) (* D D) -1/4 (* 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))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* (* M M) D) h) (/ D d)) d) -1/4) (/ (* (* (* (* M M) D) h) (/ D d)) d) (* (* (* (* M M) D) h) (/ D d)) (/ D d))
7.0ms	M	@	inf	((* w0 (sqrt (- 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l)))) w0 (sqrt (- 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l))) (- 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l)) 1 (/ (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) l) (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) h) (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) (/ (* M D) (+ d d)) (* M D) M D (+ d d) d h l (* (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) w0) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (* (* (* (* (* M M) D) h) (/ D (* (* d d) l))) -1/8) (* (* (* (* M M) D) h) (/ D (* (* d d) l))) (* (* (* M M) D) h) (* (* M M) D) (* M M) (/ D (* (* d d) l)) (* (* 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)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (* (/ (* (* (* (* M M) D) h) (/ D (* d d))) l) -1/8) (/ (* (* (* (* M M) D) h) (/ D (* d d))) l) (* (* (* (* M M) D) h) (/ D (* d d))) (/ D (* d d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (* (* (* M M) h) (/ (* D D) (* d d))) -1/4) (* (* (* M M) h) (/ (* D D) (* d d))) (* (* M M) h) (/ (* D D) (* d d)) (* D D) -1/4 (* 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))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* (* M M) D) h) (/ D d)) d) -1/4) (/ (* (* (* (* M M) D) h) (/ D d)) d) (* (* (* (* M M) D) h) (/ D d)) (/ D d))

rewrite204.0ms (4.2%)

Memory

5.3MiB live, 338.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1059	18404
0	1119	16963
1	5217	16613
0	8048	16198

Stop Event

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

Counts

333 → 514

Calls

Call 1

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

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

eval51.0ms (1%)

Memory: -24.2MiB live, 119.3MiB allocated; 15ms collecting garbage
Compiler: Compiled 7 624 to 2 962 computations (61.1% saved)

prune35.0ms (0.7%)

Memory

-3.2MiB live, 90.7MiB allocated; 3ms collecting garbage

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	412	10	422
Fresh	4	12	16
Picked	3	2	5
Done	1	2	3
Total	420	26	446

Accuracy

90.5%

Counts

446 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.4%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))))) w0)
	81.1%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l)))) w0)
	14.1%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) h) (/.f64 D (.f64 d d))) #s(literal -1/4 binary64))) l))) w0)
	13.5%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D (/.f64 D (.f64 d d))) #s(literal -1/4 binary64)))) l))) w0)
	61.9%	(.f64 #s(approx (sqrt (- 1 (/ ( (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64))) w0)
	13.3%	(.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) h) (/.f64 D (.f64 d (*.f64 d l)))) #s(literal -1/8 binary64)))) w0)
	14.1%	(.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (.f64 (.f64 (.f64 M (.f64 D M)) h) (/.f64 D (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)))) w0)
	13.2%	(.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (.f64 (.f64 (.f64 M M) D) (.f64 h (/.f64 D (.f64 (*.f64 d d) l)))) #s(literal -1/8 binary64)))) w0)
	12.0%	(.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (.f64 (.f64 D (/.f64 D (.f64 d d))) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal -1/8 binary64)))) w0)
✓	85.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (*.f64 M D) (+.f64 d d))) h) l))))
✓	50.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
	65.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
	16.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) (*.f64 h (/.f64 D d))) d) #s(literal -1/4 binary64))) l))))
	17.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 d d)) #s(literal -1/4 binary64))) l))))
	13.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)) #s(literal -1/4 binary64))) l))))
	16.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (.f64 (.f64 (.f64 (.f64 M M) h) (*.f64 (/.f64 D d) (/.f64 D d))) #s(literal -1/4 binary64))) l))))
	14.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 D (.f64 (.f64 d d) l)) (.f64 (.f64 (*.f64 M M) D) h)) #s(literal -1/4 binary64)))))
	53.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) (.f64 M (.f64 M (/.f64 h (.f64 (.f64 d d) l))))) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	14.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (/.f64 (/.f64 (.f64 (/.f64 D d) (.f64 (.f64 (*.f64 M M) D) h)) d) l) #s(literal -1/8 binary64)))))
	12.9%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 d (*.f64 d l))) #s(literal -1/8 binary64)))))
✓	13.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) h) (/.f64 D (.f64 d d))) l) #s(literal -1/8 binary64)))))
	13.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 D (/.f64 D (.f64 d d))))) l) #s(literal -1/8 binary64)))))
	12.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) h) (.f64 d d)) (/.f64 D l)) #s(literal -1/8 binary64)))))
	15.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) 1) (.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) (/.f64 h (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)))))
	49.3%	#s(approx (* w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 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))
✓	68.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 1 562 to 1 201 computations (23.1% saved)

regimes194.0ms (4%)

Memory

20.1MiB live, 453.3MiB allocated; 23ms collecting garbage

Counts

51 → 2

Calls

Call 1

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

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

Calls

15 calls:

16.0ms	h
14.0ms	l
14.0ms	M
14.0ms	w0
13.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
86.2%	1	`(/.f64 h l)`
86.2%	1	`(*.f64 #s(literal 2 binary64) d)`
86.2%	1	`(*.f64 M D)`
86.2%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.2%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
86.2%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.5%	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)))`
88.5%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.5%	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)))))`
86.2%	1	`w0`
86.2%	1	`M`
86.2%	1	`D`
86.2%	1	`h`
86.2%	1	`l`
86.2%	1	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes61.0ms (1.3%)

Memory

0.6MiB live, 145.0MiB allocated; 5ms collecting garbage

Counts

49 → 1

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
13.0ms	w0
12.0ms	(/.f64 h l)
10.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
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))))

Results

Accuracy	Segments	Branch
86.2%	1	`(/.f64 h l)`
86.2%	1	`w0`
86.2%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
86.2%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
86.2%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`

Compiler

Compiled 53 to 61 computations (-15.1% saved)

regimes166.0ms (3.4%)

Memory

8.3MiB live, 392.7MiB allocated; 16ms collecting garbage

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

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

Results

Accuracy	Segments	Branch
81.1%	1	`l`
85.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
87.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
87.0%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
87.0%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
87.0%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
84.1%	2	`D`
81.1%	1	`h`
81.1%	1	`(*.f64 #s(literal 2 binary64) d)`
84.4%	2	`(*.f64 M D)`
85.5%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
85.0%	2	`M`
81.1%	1	`d`
87.2%	3	`(/.f64 h l)`
81.1%	1	`w0`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes159.0ms (3.3%)

Memory

0.7MiB live, 384.4MiB allocated; 13ms collecting garbage

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

12.0ms	l
11.0ms	d
11.0ms	(*.f64 M D)
11.0ms	(/.f64 h l)
11.0ms	D

Results

Accuracy	Segments	Branch
79.1%	2	`(*.f64 #s(literal 2 binary64) d)`
79.1%	2	`d`
76.7%	1	`h`
76.7%	1	`w0`
78.7%	2	`l`
76.7%	1	`D`
80.7%	3	`(*.f64 M D)`
76.7%	1	`M`
76.7%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
76.7%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
80.7%	2	`(/.f64 h l)`
82.6%	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)))`
82.6%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
80.8%	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)))))`
82.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes10.0ms (0.2%)

Memory

-20.8MiB live, 26.4MiB allocated; 2ms collecting garbage

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

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

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes26.0ms (0.5%)

Memory

17.5MiB live, 66.9MiB allocated; 1ms collecting garbage

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

7.0ms	(/.f64 h l)
6.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
6.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
5.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))

Results

Accuracy	Segments	Branch
75.8%	2	`(/.f64 h l)`
80.1%	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)))`
80.1%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
80.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 47 to 51 computations (-8.5% saved)

regimes6.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
79.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes16.0ms (0.3%)

Memory

-2.6MiB live, 44.8MiB allocated; 2ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

Calls

8 calls:

3.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
2.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
2.0ms	d
2.0ms	(*.f64 #s(literal 2 binary64) d)
2.0ms	l

Results

Accuracy	Segments	Branch
78.3%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
78.3%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
68.0%	1	`l`
68.0%	1	`(*.f64 #s(literal 2 binary64) d)`
68.0%	1	`d`
72.0%	2	`(*.f64 M D)`
78.2%	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)))))`
78.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 70 to 88 computations (-25.7% saved)

regimes9.0ms (0.2%)

Memory

-19.7MiB live, 27.7MiB allocated; 2ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

7 calls:

2.0ms	M
1.0ms	w0
1.0ms	D
1.0ms	h
1.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Results

Accuracy	Segments	Branch
68.0%	1	`h`
76.4%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
76.2%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
68.0%	1	`D`
68.0%	1	`w0`
72.2%	2	`M`
77.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 33 to 58 computations (-75.8% saved)

regimes10.0ms (0.2%)

Memory

-14.8MiB live, 32.8MiB allocated; 1ms 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

10 calls:

2.0ms	M
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	w0
1.0ms	(*.f64 M D)
1.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
68.0%	1	`w0`
68.0%	1	`(*.f64 M D)`
68.0%	1	`M`
68.0%	1	`(/.f64 h l)`
68.0%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
68.0%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
68.0%	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)))))`
68.0%	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)))`
68.0%	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))))`
68.0%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 86 to 108 computations (-25.6% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.644770027765099e+269	1.5776695584137909e+273

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-121618167.04965715	-5.4068073134677685e-24

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-121618167.04965715	-5.4068073134677685e-24

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-72579056373.61746	-121618167.04965715

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.1702065520141885e+102	-3.968048421358396e+92

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.078277352780748e+207	-1.1755257194999124e+203

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-8.325581671469598e+298

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.078277352780748e+207	-1.1755257194999124e+203

Compiler

Compiled 21 to 26 computations (-23.8% saved)

derivations232.0ms (4.8%)

Memory

25.6MiB live, 363.0MiB allocated; 8ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 211 to 131 computations (37.9% saved)

preprocess351.0ms (7.2%)

Memory

-42.2MiB live, 819.7MiB allocated; 50ms collecting garbage

Remove

(sort M D)

(negabs w0)

(abs d)

(abs D)

(abs M)

Compiler

Compiled 5 325 to 4 442 computations (16.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze510.0ms (10.5%)

sample1.5s (31.6%)

preprocess57.0ms (1.2%)

series92.0ms (1.9%)

rewrite189.0ms (3.9%)

eval13.0ms (0.3%)

prune8.0ms (0.2%)

series138.0ms (2.9%)

rewrite191.0ms (3.9%)

eval42.0ms (0.9%)

prune22.0ms (0.4%)

series120.0ms (2.5%)

rewrite198.0ms (4.1%)

eval48.0ms (1%)

prune28.0ms (0.6%)

series122.0ms (2.5%)

rewrite204.0ms (4.2%)

eval51.0ms (1%)

prune35.0ms (0.7%)

regimes194.0ms (4%)

regimes61.0ms (1.3%)

regimes166.0ms (3.4%)

regimes159.0ms (3.3%)

regimes10.0ms (0.2%)

regimes26.0ms (0.5%)

regimes6.0ms (0.1%)

regimes16.0ms (0.3%)

regimes9.0ms (0.2%)

regimes10.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations232.0ms (4.8%)

preprocess351.0ms (7.2%)

end0.0ms (0%)

Profiling