Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

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

analyze522.0ms (4.9%)

Memory

20.2MiB live, 583.4MiB allocated; 90ms 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)

sample1.8s (16.4%)

Memory

45.4MiB live, 2 045.1MiB allocated; 554ms collecting garbage

Samples

971.0ms	8 256×	0	valid
243.0ms	2 756×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 791.0ms

ival-mult!: 377.0ms (47.7% of total)

ival-pow2: 149.0ms (18.8% of total)

ival-div!: 122.0ms (15.4% of total)

ival-sqrt: 107.0ms (13.5% of total)

ival-sub!: 35.0ms (4.4% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess60.0ms (0.6%)

Memory

-8.3MiB live, 43.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	168	514
1	535	510
2	2311	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)

series78.0ms (0.7%)

Memory

41.1MiB live, 86.6MiB allocated; 4ms 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
9.0ms	D	@	-inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
6.0ms	M	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
5.0ms	M	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
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	d	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)

rewrite1.0s (9.7%)

Memory

3.6MiB live, 534.2MiB allocated; 170ms collecting garbage

Counts

117 → 138

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 (.f64 M D) (+.f64 d d)) (/.f64 (*.f64 M D) (+.f64 d d))) (/.f64 h l)))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (*.f64 M D) (+.f64 d d))) (/.f64 h l)))))
w0
(pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (.f64 M D) (+.f64 d d))) (/.f64 h l))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (.f64 M D) (+.f64 d d))) (/.f64 h l))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (.f64 M D) (+.f64 d d)))) (/.f64 h l)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (.f64 M D) (+.f64 d d))) (/.f64 h l)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (.f64 M D) (+.f64 d d))) (/.f64 h l)) (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (.f64 M D) (+.f64 d d))) (/.f64 h l)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (.f64 M D) (+.f64 d d))) (/.f64 h l))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (.f64 M D) (+.f64 d d))) (/.f64 h l)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (.f64 M D) (+.f64 d d))) (/.f64 h l)) (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (.f64 M D) (+.f64 d d))) (/.f64 h l)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (*.f64 M D) (+.f64 d d))) (/.f64 h l))))))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (.f64 M D) (+.f64 d d))) (/.f64 h l))
(.f64 (/.f64 h l) (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (.f64 M D) (+.f64 d d))))
(/.f64 (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (.f64 M D) (+.f64 d d))) h) l)
(.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (*.f64 M D) (+.f64 d d)))
(.f64 (pow.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 M D) (+.f64 d d))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))
(*.f64 M (/.f64 D (+.f64 d d)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(/.f64 (*.f64 M D) (+.f64 d d))
(/.f64 (neg.f64 (*.f64 M D)) (neg.f64 (+.f64 d d)))
(/.f64 (/.f64 (*.f64 M D) #s(literal 2 binary64)) d)
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(+.f64 d d)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
d
(/.f64 h l)
(/.f64 (neg.f64 h) (neg.f64 l))
h
l
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 M M) h) (.f64 D D))) (.f64 (.f64 d d) l)))) 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 h w0) (.f64 M M)) (.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 M M) (.f64 h h)) w0) (pow.f64 D #s(literal 4 binary64))) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h w0) (.f64 D D))) (.f64 (.f64 d d) l))) (.f64 M M) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 M M)) (.f64 (.f64 (.f64 h h) h) w0)) (.f64 (.f64 (.f64 l l) l) (pow.f64 d #s(literal 6 binary64)))) #s(literal -1/1024 binary64) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (.f64 h h) w0) (pow.f64 D #s(literal 4 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l)))) (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h w0) (.f64 D D))) (.f64 (.f64 d d) l))) (*.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 (.f64 M M) (.f64 h h)) (pow.f64 D #s(literal 4 binary64))) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (.f64 M M) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h h) h) (.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (.f64 (.f64 (.f64 l l) l) (pow.f64 d #s(literal 6 binary64)))) #s(literal -1/1024 binary64) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 h h))) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l)))) (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (.f64 M M) #s(literal 1 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.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 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 M M) h) (.f64 D D))) (.f64 (*.f64 d d) l)))
#s(approx (pow (/ (* M D) (* 2 d)) 2) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) (.f64 D D))) (*.f64 d d)))
#s(approx (/ (* M D) (* 2 d)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d))
#s(approx (* M D) (*.f64 M D))
#s(approx M M)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 (.f64 (.f64 (.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) D) (sqrt.f64 (/.f64 h l))) d))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l h))) (.f64 (.f64 D (.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 (*.f64 D w0) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l))) d)) M))
#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) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 M #s(literal 4 binary64))) (.f64 (.f64 D D) D))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l h))) (.f64 (.f64 D (.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 (*.f64 D w0) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l))) d))) M))
#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) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 M #s(literal 4 binary64))) (.f64 (.f64 D D) D))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) (.f64 (.f64 (pow.f64 D #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l h))) (.f64 (.f64 D (.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 (*.f64 D w0) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l))) d)))) M))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (.f64 (.f64 (*.f64 M D) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l))) d))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 d (sqrt.f64 (/.f64 l h))) (.f64 (.f64 D (.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) (sqrt.f64 (/.f64 h l))) d)) M))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) d) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 M #s(literal 4 binary64))) (.f64 (.f64 D D) D))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 d (sqrt.f64 (/.f64 l h))) (.f64 (.f64 D (.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) (sqrt.f64 (/.f64 h l))) d))) M))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) d) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 M #s(literal 4 binary64))) (.f64 (.f64 D D) D))) (fma.f64 (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) (.f64 (.f64 (pow.f64 D #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 d (sqrt.f64 (/.f64 l h))) (.f64 (.f64 D (.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) (sqrt.f64 (/.f64 h l))) d)))) M))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) (.f64 D D))) (.f64 (*.f64 d d) l)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 M M)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (.f64 M M)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) D) (sqrt.f64 (/.f64 h l))) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l h))) (.f64 (.f64 D (.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 (*.f64 D w0) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l))) d)) 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 (.f64 (.f64 (.f64 (.f64 d d) d) w0) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 M #s(literal 4 binary64))) (.f64 (.f64 D D) D))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l h))) (.f64 (.f64 D (.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 (*.f64 D w0) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l))) d))) 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 (.f64 (.f64 (.f64 (.f64 d d) d) w0) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 M #s(literal 4 binary64))) (.f64 (.f64 D D) D))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) (.f64 (.f64 (pow.f64 D #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l h))) (.f64 (.f64 D (.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 (*.f64 D w0) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l))) d)))) M)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (neg.f64 (/.f64 (.f64 (.f64 (*.f64 M D) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l))) d)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 d (sqrt.f64 (/.f64 l h))) (.f64 (.f64 D (.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) (sqrt.f64 (/.f64 h l))) d)) M)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) d) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 M #s(literal 4 binary64))) (.f64 (.f64 D D) D))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 d (sqrt.f64 (/.f64 l h))) (.f64 (.f64 D (.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) (sqrt.f64 (/.f64 h l))) d))) M)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) d) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 M #s(literal 4 binary64))) (.f64 (.f64 D D) D))) (fma.f64 (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) (.f64 (.f64 (pow.f64 D #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 d (sqrt.f64 (/.f64 l h))) (.f64 (.f64 D (.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) (sqrt.f64 (/.f64 h l))) d)))) M)))
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#s(approx D D)
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 d (sqrt.f64 (/.f64 l h))) (.f64 (.f64 (.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) (sqrt.f64 (/.f64 h l))) d)) D)))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 h w0)) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) w0) (.f64 D D))) (.f64 (.f64 d d) l))) h w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 M #s(literal 6 binary64))) (.f64 h w0)) (.f64 (.f64 (.f64 l l) l) (pow.f64 d #s(literal 6 binary64)))) #s(literal -1/1024 binary64) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) w0)) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l)))) h (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) w0) (.f64 D D))) (.f64 (.f64 d d) l))) h w0))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) h) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) (.f64 D D))) (.f64 (.f64 d d) l))) h #s(literal 1 binary64)))
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#s(approx (/ h l) (/.f64 h l))
#s(approx h h)
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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 M M) M) (.f64 (.f64 D D) D)) (.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) (pow.f64 h #s(literal 5 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l (.f64 (.f64 h h) h)))) (.f64 (.f64 M D) (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 (.f64 (.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) D) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d))) h))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (/.f64 (.f64 (.f64 (.f64 (*.f64 M w0) (sqrt.f64 #s(literal -1 binary64))) D) (sqrt.f64 (/.f64 h l))) d) #s(literal -1/2 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M w0) (sqrt.f64 #s(literal -1 binary64))) D) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d) #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 d w0) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 l (.f64 (.f64 h h) h)))) (.f64 M D))) h)))
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (/.f64 (.f64 (.f64 (.f64 M D) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 h l))) d) #s(literal -1/2 binary64)))
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#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) h)) h))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 d w0) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h))) (.f64 (.f64 M D) (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 (.f64 (.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) D) (sqrt.f64 (*.f64 l h))) d)) l))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) w0) (sqrt.f64 (/.f64 l (.f64 (.f64 h h) h)))) (.f64 (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 D D) D)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 d w0) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) (.f64 (.f64 M D) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64))) (.f64 l l) (/.f64 (.f64 (.f64 (.f64 (.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) D) (sqrt.f64 (.f64 l h))) d)) l))
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 d (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h))) (.f64 (.f64 M D) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 M D) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 l h))) d)) l))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 d d) d) (sqrt.f64 (/.f64 l (.f64 (.f64 h h) h)))) (.f64 (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 D D) D)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) (.f64 (.f64 M D) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64))) (.f64 l l) (/.f64 (.f64 (.f64 (.f64 M D) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 l h))) d)) l))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 5 binary64)) l)))) (.f64 (pow.f64 (.f64 M D) #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 (.f64 (.f64 d d) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) h) (.f64 (.f64 l l) l))))) (.f64 (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 D D) D)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) #s(literal -1/8 binary64))) (.f64 l l) (.f64 (/.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) (.f64 (.f64 M D) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64))) (.f64 l l) (/.f64 (.f64 (.f64 (.f64 M D) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (.f64 l h))) d)) l))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 M M) h) (.f64 D D))) (.f64 d d))) l))
#s(approx l l)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) w0) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 (.f64 h h) w0))) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) w0) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 M #s(literal 6 binary64))) (.f64 (.f64 (.f64 h h) h) w0)) (.f64 (.f64 (.f64 l l) l) (pow.f64 d #s(literal 6 binary64)))) #s(literal -1/1024 binary64) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 (.f64 h h) w0))) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 h h))) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h h) h) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 6 binary64))) (.f64 (.f64 (.f64 l l) l) (pow.f64 d #s(literal 6 binary64)))) #s(literal -1/1024 binary64) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 h h))) (.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (.f64 (pow.f64 d #s(literal 4 binary64)) l)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 D D))) (.f64 d d))) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 D D)) (.f64 d d)) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 M #s(literal 6 binary64))) (.f64 (.f64 (.f64 h h) h) w0)) (.f64 (pow.f64 d #s(literal 6 binary64)) l)) #s(literal -1/1024 binary64) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 (*.f64 h h) w0))) (pow.f64 d #s(literal 4 binary64)))) l))) l)) w0))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 h h)) (.f64 (pow.f64 d #s(literal 4 binary64)) l)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 M M) h) (.f64 D D))) (.f64 d d))) l)) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 d d)) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h h) h) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 6 binary64))) (.f64 (pow.f64 d #s(literal 6 binary64)) l)) #s(literal -1/1024 binary64) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 h h))) (pow.f64 d #s(literal 4 binary64)))) l))) l)) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 d d) w0) (sqrt.f64 (/.f64 l h))) (.f64 (.f64 M D) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (.f64 (.f64 (*.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) D) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 d d) w0) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) (.f64 (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 D D) D)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 w0 (sqrt.f64 (/.f64 l h))) (.f64 (.f64 M D) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64))) (.f64 d d) (.f64 (.f64 (.f64 (.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) D) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 d d) w0) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) (.f64 (pow.f64 (.f64 M D) #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 w0 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) (.f64 (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 D D) D)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (/.f64 (.f64 w0 (sqrt.f64 (/.f64 l h))) (.f64 (.f64 M D) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64))) (.f64 d d) (.f64 (.f64 (.f64 (*.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) D) (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) (sqrt.f64 (/.f64 l h))) (.f64 (.f64 M D) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 M D) (sqrt.f64 #s(literal -1/4 binary64))) (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 (.f64 d d) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) (.f64 (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 D D) D)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l h))) (.f64 (.f64 M D) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64))) (.f64 d d) (.f64 (.f64 (.f64 M D) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 d d) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) (.f64 (pow.f64 (.f64 M D) #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) (.f64 (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 D D) D)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l h))) (.f64 (.f64 M D) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64))) (.f64 d d) (.f64 (.f64 (*.f64 M D) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 (.f64 d d) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 M M) h) (.f64 D D))) l)) (*.f64 d d)))
#s(approx (* 2 d) (+.f64 d d))
#s(approx d d)

eval21.0ms (0.2%)

Memory: -18.9MiB live, 27.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 776 to 909 computations (75.9% saved)

prune8.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	118	9	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	9	128

Accuracy

89.0%

Counts

128 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.7%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (*.f64 M D) (+.f64 d d))) (/.f64 h l)))) w0)
▶	86.4%	(.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))))
▶	80.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 M (/.f64 D (+.f64 d d))) #s(literal 2 binary64)) (/.f64 h l)))))
	80.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 M D) (+.f64 d d))) #s(literal 2 binary64))) (/.f64 h l)))))
▶	57.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) (.f64 D D))) (*.f64 d d))) (/.f64 h l)))))
	16.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) (.f64 D D))) (.f64 (*.f64 d d) l)))))
▶	57.4%	(.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))))
	54.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
▶	68.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 400 to 388 computations (3% saved)

series104.0ms (1%)

Memory

-25.4MiB live, 165.4MiB allocated; 24ms collecting garbage

Counts

46 → 302

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

Calls

18 calls:

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

rewrite1.8s (17%)

Memory

-42.0MiB live, 715.2MiB allocated; 1.0s collecting garbage

Counts

348 → 454

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

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

eval71.0ms (0.7%)

Memory: 15.0MiB live, 60.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 288 to 1 768 computations (66.6% saved)

prune15.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	245	11	256
Fresh	2	2	4
Picked	4	1	5
Done	0	0	0
Total	251	14	265

Accuracy

89.7%

Counts

265 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.7%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (*.f64 M D) (+.f64 d d))) (/.f64 h l)))) w0)
▶	88.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (.f64 (/.f64 (*.f64 M D) (+.f64 d d)) h)) l))))
	86.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 D (+.f64 d d)) M) (*.f64 (/.f64 D (+.f64 d d)) M)) h) l))))
	75.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M M) (pow.f64 (/.f64 D (+.f64 d d)) #s(literal 2 binary64))) h) l))))
	70.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M D) (.f64 M D))) (*.f64 d d))) (/.f64 h l)))))
	57.6%	(.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)))))
	16.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) (.f64 D D))) (.f64 (*.f64 d d) l)))))
	69.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ 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))))
	57.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) h) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
▶	58.7%	(.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))))
	58.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
▶	53.5%	(.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 (*.f64 D D) l)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
▶	14.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (pow (* M D) 2) h) (* (* d d) l)) -1/8) 1) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) (.f64 D D))) (.f64 (*.f64 d d) l)))))
✓	68.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 676 to 654 computations (3.3% saved)

series150.0ms (1.4%)

Memory

-12.7MiB live, 80.7MiB allocated; 7ms collecting garbage

Counts

46 → 311

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	w0	@	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) M D (+ d d) d (* (/ (* M D) (+ d d)) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (pow (* M D) 2) h) (* (* d d) l)) -1/8) 1) (/ (* -1/8 (* (* (* M M) h) (* D D))) (* (* d d) l)) (* -1/8 (* (* (* M M) h) (* D D))) -1/8 (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* d (* d l))) -1/8) 1) (/ (* (* (* M M) h) (* D D)) (* d (* d l))) (* d (* d l)) (* d 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)) (/ (* D D) l) (* (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))) (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) (/ h l)) (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) (/ h l))
8.0ms	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) M D (+ d d) d (* (/ (* M D) (+ d d)) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (pow (* M D) 2) h) (* (* d d) l)) -1/8) 1) (/ (* -1/8 (* (* (* M M) h) (* D D))) (* (* d d) l)) (* -1/8 (* (* (* M M) h) (* D D))) -1/8 (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* d (* d l))) -1/8) 1) (/ (* (* (* M M) h) (* D D)) (* d (* d l))) (* d (* d l)) (* d 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)) (/ (* D D) l) (* (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))) (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) (/ h l)) (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) (/ h l))
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) M D (+ d d) d (* (/ (* M D) (+ d d)) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (pow (* M D) 2) h) (* (* d d) l)) -1/8) 1) (/ (* -1/8 (* (* (* M M) h) (* D D))) (* (* d d) l)) (* -1/8 (* (* (* M M) h) (* D D))) -1/8 (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* d (* d l))) -1/8) 1) (/ (* (* (* M M) h) (* D D)) (* d (* d l))) (* d (* d l)) (* d 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)) (/ (* D D) l) (* (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))) (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) (/ h l)) (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) (/ h l))
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) M D (+ d d) d (* (/ (* M D) (+ d d)) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (pow (* M D) 2) h) (* (* d d) l)) -1/8) 1) (/ (* -1/8 (* (* (* M M) h) (* D D))) (* (* d d) l)) (* -1/8 (* (* (* M M) h) (* D D))) -1/8 (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* d (* d l))) -1/8) 1) (/ (* (* (* M M) h) (* D D)) (* d (* d l))) (* d (* d l)) (* d 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)) (/ (* D D) l) (* (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))) (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) (/ h l)) (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) (/ h l))
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) M D (+ d d) d (* (/ (* M D) (+ d d)) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (pow (* M D) 2) h) (* (* d d) l)) -1/8) 1) (/ (* -1/8 (* (* (* M M) h) (* D D))) (* (* d d) l)) (* -1/8 (* (* (* M M) h) (* D D))) -1/8 (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (* (* M M) h) (* D D)) (* d (* d l))) -1/8) 1) (/ (* (* (* M M) h) (* D D)) (* d (* d l))) (* d (* d l)) (* d 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)) (/ (* D D) l) (* (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))) (* (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) (/ h l)) (* (/ (* M D) (+ d d)) (/ (* M D) (+ d d))) (/ h l))

rewrite1.5s (14.3%)

Memory

33.3MiB live, 785.6MiB allocated; 140ms collecting garbage

Counts

357 → 492

Calls

Call 1

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

eval36.0ms (0.3%)

Memory: -12.6MiB live, 38.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 885 to 1 923 computations (67.3% saved)

prune26.0ms (0.2%)

Memory

-18.8MiB live, 27.6MiB allocated; 2ms collecting garbage

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	300	13	313
Fresh	4	4	8
Picked	3	2	5
Done	0	1	1
Total	307	20	327

Accuracy

90.4%

Counts

327 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.3%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (*.f64 M D)) (+.f64 d d)) (/.f64 h l)))) w0)
✓	80.7%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (*.f64 M D) (+.f64 d d))) (/.f64 h l)))) w0)
	80.9%	(.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)
	70.9%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M D) (.f64 M D))) (*.f64 d d))) (/.f64 h l)))) w0)
✓	88.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (.f64 (/.f64 (*.f64 M D) (+.f64 d d)) h)) l))))
	86.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 D (+.f64 d d)) M) (*.f64 (/.f64 D (+.f64 d d)) M)) h) l))))
	75.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M M) (pow.f64 (/.f64 D (+.f64 d d)) #s(literal 2 binary64))) h) l))))
▶	88.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 (*.f64 M (/.f64 D (+.f64 d d))) h)) l))))
	87.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (/.f64 (.f64 (*.f64 M D) h) (+.f64 d d)) l)))))
▶	57.6%	(.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)))))
	16.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) (.f64 D D))) (.f64 (*.f64 d d) l)))))
	73.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) h)) h))))
▶	71.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 d (.f64 d l))) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	68.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (*.f64 d d)) (/.f64 h l)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	54.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (/.f64 (.f64 M (.f64 h M)) (.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	57.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 h d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	15.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (pow (* M D) 2) h) (* (* d d) l)) -1/8) 1) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) (.f64 D D))) (.f64 (*.f64 d l) d)))))
	17.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (pow (* M D) 2) h) (* (* d d) l)) -1/8) 1) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M D) (.f64 M D)) h)) (.f64 (*.f64 d d) l)))))
▶	14.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (pow (* M D) 2) h) (* (* d d) l)) -1/8) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))))
✓	68.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 940 to 892 computations (5.1% saved)

series133.0ms (1.2%)

Memory

29.2MiB live, 122.6MiB allocated; 4ms collecting garbage

Counts

54 → 318

Calls

Call 1

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

Calls

18 calls:

Time	Variable		Point	Expression
20.0ms	w0	@	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)) D (+ d d) d (* (* M (/ D (+ d d))) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (pow (* M D) 2) h) (* (* 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) (* 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)))) (+ (* (/ (* (* (* M D) (* M D)) h) (* d (* d l))) -1/8) 1) (/ (* (* (* M D) (* M D)) h) (* d (* d l))) (* (* (* M D) (* M D)) h) (* (* M D) (* M D)) (* M D) (* d (* d l)) (* 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))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* M M) (* D D)) (* d d)) 1/4) (/ (* (* M M) (* D D)) (* d d)) (* (* M M) (* D D)) 1/4 (/ h l) (* (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))) (* (/ (* (/ (* M D) (+ d d)) (* M D)) (+ d d)) (/ h l)) (/ (* (/ (* M D) (+ d d)) (* M D)) (+ d d)) (* (/ (* M D) (+ d d)) (* M D)) (/ (* M D) (+ d d)))
9.0ms	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)) D (+ d d) d (* (* M (/ D (+ d d))) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (pow (* M D) 2) h) (* (* 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) (* 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)))) (+ (* (/ (* (* (* M D) (* M D)) h) (* d (* d l))) -1/8) 1) (/ (* (* (* M D) (* M D)) h) (* d (* d l))) (* (* (* M D) (* M D)) h) (* (* M D) (* M D)) (* M D) (* d (* d l)) (* 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))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* M M) (* D D)) (* d d)) 1/4) (/ (* (* M M) (* D D)) (* d d)) (* (* M M) (* D D)) 1/4 (/ h l) (* (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))) (* (/ (* (/ (* M D) (+ d d)) (* M D)) (+ d d)) (/ h l)) (/ (* (/ (* M D) (+ d d)) (* M D)) (+ d d)) (* (/ (* M D) (+ d d)) (* M D)) (/ (* M D) (+ d d)))
8.0ms	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)) D (+ d d) d (* (* M (/ D (+ d d))) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (pow (* M D) 2) h) (* (* 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) (* 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)))) (+ (* (/ (* (* (* M D) (* M D)) h) (* d (* d l))) -1/8) 1) (/ (* (* (* M D) (* M D)) h) (* d (* d l))) (* (* (* M D) (* M D)) h) (* (* M D) (* M D)) (* M D) (* d (* d l)) (* 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))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* M M) (* D D)) (* d d)) 1/4) (/ (* (* M M) (* D D)) (* d d)) (* (* M M) (* D D)) 1/4 (/ h l) (* (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))) (* (/ (* (/ (* M D) (+ d d)) (* M D)) (+ d d)) (/ h l)) (/ (* (/ (* M D) (+ d d)) (* M D)) (+ d d)) (* (/ (* M D) (+ d d)) (* M D)) (/ (* M D) (+ d d)))
7.0ms	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)) D (+ d d) d (* (* M (/ D (+ d d))) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (pow (* M D) 2) h) (* (* 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) (* 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)))) (+ (* (/ (* (* (* M D) (* M D)) h) (* d (* d l))) -1/8) 1) (/ (* (* (* M D) (* M D)) h) (* d (* d l))) (* (* (* M D) (* M D)) h) (* (* M D) (* M D)) (* M D) (* d (* d l)) (* 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))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* M M) (* D D)) (* d d)) 1/4) (/ (* (* M M) (* D D)) (* d d)) (* (* M M) (* D D)) 1/4 (/ h l) (* (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))) (* (/ (* (/ (* M D) (+ d d)) (* M D)) (+ d d)) (/ h l)) (/ (* (/ (* M D) (+ d d)) (* M D)) (+ d d)) (* (/ (* M D) (+ d d)) (* M D)) (/ (* M D) (+ d d)))
6.0ms	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)) D (+ d d) d (* (* M (/ D (+ d d))) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (/ (* (pow (* M D) 2) h) (* (* 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) (* 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)))) (+ (* (/ (* (* (* M D) (* M D)) h) (* d (* d l))) -1/8) 1) (/ (* (* (* M D) (* M D)) h) (* d (* d l))) (* (* (* M D) (* M D)) h) (* (* M D) (* M D)) (* M D) (* d (* d l)) (* 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))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* M M) (* D D)) (* d d)) 1/4) (/ (* (* M M) (* D D)) (* d d)) (* (* M M) (* D D)) 1/4 (/ h l) (* (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))) (* (/ (* (/ (* M D) (+ d d)) (* M D)) (+ d d)) (/ h l)) (/ (* (/ (* M D) (+ d d)) (* M D)) (+ d d)) (* (/ (* M D) (+ d d)) (* M D)) (/ (* M D) (+ d d)))

rewrite1.4s (13.5%)

Memory

3.3MiB live, 1 389.4MiB allocated; 278ms collecting garbage

Counts

372 → 523

Calls

Call 1

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

eval33.0ms (0.3%)

Memory: 9.2MiB live, 54.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 5 867 to 2 012 computations (65.7% saved)

prune51.0ms (0.5%)

Memory

-7.1MiB live, 84.6MiB allocated; 8ms collecting garbage

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	285	12	297
Fresh	4	8	12
Picked	3	2	5
Done	1	2	3
Total	293	24	317

Accuracy

90.4%

Counts

317 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.6%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (+.f64 d d)) h) (.f64 (+.f64 d d) l)))) w0)
	80.2%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 (*.f64 M D) (+.f64 d d)) M) D) (+.f64 d d)) (/.f64 h l)))) w0)
✓	80.7%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (*.f64 M D) (+.f64 d d))) (/.f64 h l)))) w0)
	80.9%	(.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)
	64.2%	(.f64 w0 (sqrt.f64 (/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (+.f64 d d)) h) (.f64 (+.f64 d d) l)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (+.f64 d d)) h) (.f64 (+.f64 d d) l)) (/.f64 (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (+.f64 d d)) h) (.f64 (+.f64 d d) l)) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (+.f64 d d)) h) (.f64 (+.f64 d d) l))))))))
	86.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 D (+.f64 d d)) M) (*.f64 (/.f64 D (+.f64 d d)) M)) h) l))))
✓	88.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 (*.f64 M (/.f64 D (+.f64 d d))) h)) l))))
	87.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (/.f64 (/.f64 (.f64 (*.f64 M D) h) (+.f64 d d)) l)))))
	75.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (/.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) d) d) #s(literal 1/4 binary64))) (/.f64 h l)))))
	70.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (*.f64 d d)) #s(literal 1/4 binary64))) (/.f64 h l)))))
	61.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 D D) d)) #s(literal 1/4 binary64))) (/.f64 h l)))))
	16.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 M M) h) (.f64 D D))) (.f64 (*.f64 d d) l)))))
	73.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) h)) h))))
	68.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 d (.f64 d l))) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	68.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (*.f64 d d)) (/.f64 h l)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	54.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (/.f64 (.f64 M (.f64 h M)) (.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	57.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 h d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	15.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (pow (* M D) 2) h) (* (* d d) l)) -1/8) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d l) d)) #s(literal -1/8 binary64)))))
✓	14.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (pow (* M D) 2) h) (* (* d d) l)) -1/8) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))))
	17.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (pow (* M D) 2) h) (* (* d d) l)) -1/8) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))))
	17.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (pow (* M D) 2) h) (* (* d d) l)) -1/8) 1) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) h)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))))
	17.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (pow (* M D) 2) h) (* (* d d) l)) -1/8) 1) (.f64 (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 d d)) (/.f64 h l)) #s(literal -1/8 binary64)))))
	18.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (/ (* (pow (* M D) 2) h) (* (* d d) l)) -1/8) 1) (.f64 (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) d) (/.f64 h (.f64 d l))) #s(literal -1/8 binary64)))))
✓	68.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 1 225 to 923 computations (24.7% saved)

regimes233.0ms (2.2%)

Memory

19.3MiB live, 402.9MiB allocated; 75ms collecting garbage

Counts

46 → 1

Calls

Call 1

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

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

Calls

15 calls:

49.0ms	d
29.0ms	(/.f64 h l)
15.0ms	l
14.0ms	w0
13.0ms	M

Results

Accuracy	Segments	Branch
88.6%	1	`(/.f64 h l)`
88.6%	1	`(*.f64 #s(literal 2 binary64) d)`
88.6%	1	`(*.f64 M D)`
88.6%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.6%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
88.6%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.6%	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)))`
88.6%	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))))`
88.6%	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)))))`
88.6%	1	`w0`
88.6%	1	`M`
88.6%	1	`D`
88.6%	1	`h`
88.6%	1	`l`
88.6%	1	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes244.0ms (2.3%)

Memory

-23.0MiB live, 304.7MiB allocated; 52ms collecting garbage

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

27.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
26.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
20.0ms	(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))))
20.0ms	D
19.0ms	h

Results

Accuracy	Segments	Branch
90.1%	2	`(*.f64 #s(literal 2 binary64) d)`
88.1%	1	`M`
90.1%	2	`d`
88.1%	1	`(/.f64 h l)`
88.1%	1	`(*.f64 M D)`
88.1%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
88.1%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.1%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.1%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.1%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
88.1%	1	`w0`
88.1%	1	`D`
88.1%	1	`h`
88.1%	1	`l`
88.1%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes170.0ms (1.6%)

Memory

-5.2MiB live, 237.8MiB allocated; 35ms collecting garbage

Counts

37 → 1

Calls

Call 1

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

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

Calls

15 calls:

26.0ms	(/.f64 h l)
22.0ms	D
11.0ms	(.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)))))
10.0ms	l
10.0ms	h

Results

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

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes146.0ms (1.4%)

Memory

15.6MiB live, 203.3MiB allocated; 14ms collecting garbage

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

12.0ms	h
12.0ms	l
12.0ms	(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))))
11.0ms	w0
10.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Results

Accuracy	Segments	Branch
84.0%	2	`(*.f64 #s(literal 2 binary64) d)`
88.5%	3	`(*.f64 M D)`
87.2%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
87.2%	3	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
87.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
81.6%	1	`w0`
84.6%	2	`M`
85.7%	3	`D`
84.0%	2	`h`
84.0%	2	`d`
87.2%	3	`(/.f64 h l)`
88.2%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.2%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.2%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
84.5%	2	`l`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes47.0ms (0.4%)

Memory

-8.7MiB live, 41.4MiB allocated; 5ms collecting garbage

Counts

33 → 2

Calls

Call 1

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

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

Calls

3 calls:

25.0ms

(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))))

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

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

Results

Accuracy	Segments	Branch
87.7%	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)))`
87.7%	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))))`
87.7%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`

Compiler

Compiled 49 to 48 computations (2% saved)

regimes42.0ms (0.4%)

Memory

5.8MiB live, 52.7MiB allocated; 2ms collecting garbage

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

9.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
8.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
8.0ms	(*.f64 M D)
7.0ms	(-.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)))
7.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))

Results

Accuracy	Segments	Branch
83.6%	2	`(*.f64 M D)`
85.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
86.1%	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)))`
86.1%	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))))`
83.6%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`

Compiler

Compiled 65 to 68 computations (-4.6% saved)

regimes44.0ms (0.4%)

Memory

14.3MiB live, 61.2MiB allocated; 2ms collecting garbage

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

9.0ms	(/.f64 h l)
7.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
7.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
7.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
6.0ms	(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
81.8%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
81.8%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
83.2%	3	`(/.f64 h l)`
84.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
84.7%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
84.7%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`

Compiler

Compiled 63 to 72 computations (-14.3% saved)

regimes58.0ms (0.5%)

Memory

-18.3MiB live, 77.3MiB allocated; 6ms collecting garbage

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

10.0ms	d
9.0ms	M
8.0ms	l
8.0ms	(*.f64 #s(literal 2 binary64) d)
7.0ms	h

Results

Accuracy	Segments	Branch
79.6%	3	`(*.f64 #s(literal 2 binary64) d)`
79.6%	3	`d`
76.8%	4	`h`
78.3%	2	`D`
71.2%	1	`l`
78.6%	2	`M`
83.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 21 to 51 computations (-142.9% saved)

regimes35.0ms (0.3%)

Memory

10.4MiB live, 56.7MiB allocated; 2ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

Outputs

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

6 calls:

7.0ms	w0
6.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
6.0ms	(*.f64 M D)
5.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
5.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))

Results

Accuracy	Segments	Branch
81.1%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
81.1%	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))))`
73.9%	2	`w0`
79.5%	3	`(*.f64 M D)`
81.0%	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)))))`
82.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 66 to 74 computations (-12.1% saved)

regimes4.0ms (0%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
82.2%	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)

regimes3.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

2.0ms

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

Results

Accuracy	Segments	Branch
81.8%	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)

regimes17.0ms (0.2%)

Memory

0.1MiB live, 45.6MiB allocated; 2ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

15 calls:

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

Results

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

Compiler

Compiled 93 to 140 computations (-50.5% saved)

bsearch8.0ms (0.1%)

Memory

-32.9MiB live, 12.4MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	1.3212064755203126e+35	2.277567919331401e+36

Samples

6.0ms	32×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 97 to 96 computations (1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult!: 1.0ms (61% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

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

ival-pow2: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.071525280004117e+305	+inf

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.071525280004117e+305	+inf

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	1.0	1.0000000000018054

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.6109795722619245e-12	-1.555249295409779e-26

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.6109795722619245e-12	-1.555249295409779e-26

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	-3.6109795722619245e-12	-1.555249295409779e-26

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.1624101119595772e+209	-1.4292394961188465e+158

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.1624101119595772e+209	-1.4292394961188465e+158

Compiler

Compiled 21 to 26 computations (-23.8% saved)

derivations3.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 205 to 134 computations (34.6% saved)

preprocess768.0ms (7.2%)

Memory

14.7MiB live, 895.4MiB allocated; 423ms collecting garbage

Remove

(sort M D)

(negabs w0)

(abs d)

(abs D)

(abs M)

Compiler

Compiled 5 417 to 4 433 computations (18.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze522.0ms (4.9%)

sample1.8s (16.4%)

preprocess60.0ms (0.6%)

series78.0ms (0.7%)

rewrite1.0s (9.7%)

eval21.0ms (0.2%)

prune8.0ms (0.1%)

series104.0ms (1%)

rewrite1.8s (17%)

eval71.0ms (0.7%)

prune15.0ms (0.1%)

series150.0ms (1.4%)

rewrite1.5s (14.3%)

eval36.0ms (0.3%)

prune26.0ms (0.2%)

series133.0ms (1.2%)

rewrite1.4s (13.5%)

eval33.0ms (0.3%)

prune51.0ms (0.5%)

regimes233.0ms (2.2%)

regimes244.0ms (2.3%)

regimes170.0ms (1.6%)

regimes146.0ms (1.4%)

regimes47.0ms (0.4%)

regimes42.0ms (0.4%)

regimes44.0ms (0.4%)

regimes58.0ms (0.5%)

regimes35.0ms (0.3%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes17.0ms (0.2%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations3.0ms (0%)

preprocess768.0ms (7.2%)

end0.0ms (0%)

Profiling