Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

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

analyze523.0ms (12.9%)

Memory

0.3MiB live, 615.0MiB allocated; 185ms 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)

sample1.7s (43.1%)

Memory

69.5MiB live, 2 722.6MiB allocated; 515ms collecting garbage

Samples

920.0ms	8 256×	0	valid
301.0ms	2 827×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 720.0ms

ival-mult!: 278.0ms (38.6% of total)

ival-div!: 172.0ms (23.9% of total)

ival-pow2: 153.0ms (21.3% of total)

ival-sqrt: 76.0ms (10.6% of total)

ival-sub!: 39.0ms (5.4% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess50.0ms (1.2%)

Memory

6.1MiB live, 52.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	168	514
1	684	510
2	3087	510

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Symmetry

(abs M)

(abs D)

(abs d)

(negabs w0)

(sort M D)

Compiler

Compiled 36 to 34 computations (5.6% saved)

series262.0ms (6.5%)

Memory

-9.8MiB live, 217.5MiB allocated; 196ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	649	6774

Stop Event

1×	iter-limit

Counts

17 → 108

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

Calls

18 calls:

Time	Variable		Point	Expression
168.0ms	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)
7.0ms	h	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
7.0ms	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)
6.0ms	D	@	-inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
6.0ms	M	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)

rewrite70.0ms (1.7%)

Memory

13.6MiB live, 96.6MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	26	95
1	91	95
0	750	95

Stop Event

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

Counts

17 → 190

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)))))
w0
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l))) #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l))))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)))))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)))) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) l) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) h)) l)
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(*.f64 #s(literal 2 binary64) d)
(/.f64 (-.f64 (.f64 d d) (.f64 d d)) (-.f64 d d))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 d d (-.f64 (.f64 d d) (.f64 d d))))
(fma.f64 d #s(literal 1 binary64) (*.f64 d #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) d (*.f64 #s(literal 1 binary64) d))
(-.f64 d (neg.f64 d))
(+.f64 (.f64 d #s(literal 1 binary64)) (.f64 d #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) d) (.f64 #s(literal 1 binary64) d))
(+.f64 d d)
#s(literal 2 binary64)
d
(*.f64 (/.f64 #s(literal 1 binary64) l) h)
(*.f64 (neg.f64 h) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(*.f64 h (/.f64 #s(literal 1 binary64) l))
(*.f64 #s(literal 1 binary64) (/.f64 h l))
(pow.f64 (/.f64 l h) #s(literal -1 binary64))
(/.f64 (*.f64 h #s(literal 1 binary64)) l)
(/.f64 (neg.f64 (neg.f64 h)) (neg.f64 (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l h)))
(/.f64 (neg.f64 h) (neg.f64 l))
(/.f64 h l)
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 l h)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l h) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l h))
(neg.f64 (/.f64 h (neg.f64 l)))
(neg.f64 (/.f64 (neg.f64 h) l))
h
l

eval37.0ms (0.9%)

Memory: -35.5MiB live, 58.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 887 to 1 734 computations (70.5% saved)

prune10.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	277	10	287
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	278	10	288

Accuracy

94.5%

Counts

288 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.0%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)))) w0)
	50.4%	(.f64 w0 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l) #s(literal 1 binary64)))))
	82.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) #s(literal 1 binary64)) (.f64 (+.f64 d d) (/.f64 (+.f64 d d) (.f64 D M)))) (/.f64 h l)))))
▶	83.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 d d) (.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M)))) (/.f64 h l)))))
▶	85.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)))))
▶	75.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 h (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (.f64 (.f64 D M) (.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))))))))
	18.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 D (sqrt.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) (.f64 (pow.f64 d #s(literal 2 binary64)) l))))))))
	2.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 #s(literal -1 binary64) (.f64 D (sqrt.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))))
▶	67.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	18.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 w0 (sqrt.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) h)) l))))) d))

Compiler

Compiled 478 to 434 computations (9.2% saved)

series188.0ms (4.6%)

Memory

5.5MiB live, 333.5MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	751	8502

Stop Event

1×	iter-limit

Counts

48 → 148

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	l	@	inf	((* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))))) w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)))) (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))) 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* (/ h l) (* (/ D (+ d d)) M)) (/ h l) h l (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) d M (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d)))))))) (sqrt (- 1 (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))))))) (- 1 (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d)))))) (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))))) (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d)))) (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) (* (* D M) (* D M)) (* D M) (* (+ d d) (+ d d)) (* w0 (sqrt (- 1 (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l))))) (sqrt (- 1 (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l)))) (- 1 (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l))) (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l)) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))) (/ (+ d d) (* D M)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l) (* (pow D 2) (* (pow M 2) h)) (pow D 2) 2 (* (pow M 2) h) (pow M 2))
11.0ms	d	@	-inf	((* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))))) w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)))) (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))) 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* (/ h l) (* (/ D (+ d d)) M)) (/ h l) h l (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) d M (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d)))))))) (sqrt (- 1 (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))))))) (- 1 (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d)))))) (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))))) (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d)))) (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) (* (* D M) (* D M)) (* D M) (* (+ d d) (+ d d)) (* w0 (sqrt (- 1 (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l))))) (sqrt (- 1 (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l)))) (- 1 (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l))) (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l)) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))) (/ (+ d d) (* D M)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l) (* (pow D 2) (* (pow M 2) h)) (pow D 2) 2 (* (pow M 2) h) (pow M 2))
10.0ms	M	@	inf	((* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))))) w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)))) (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))) 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* (/ h l) (* (/ D (+ d d)) M)) (/ h l) h l (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) d M (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d)))))))) (sqrt (- 1 (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))))))) (- 1 (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d)))))) (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))))) (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d)))) (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) (* (* D M) (* D M)) (* D M) (* (+ d d) (+ d d)) (* w0 (sqrt (- 1 (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l))))) (sqrt (- 1 (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l)))) (- 1 (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l))) (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l)) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))) (/ (+ d d) (* D M)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l) (* (pow D 2) (* (pow M 2) h)) (pow D 2) 2 (* (pow M 2) h) (pow M 2))
9.0ms	D	@	0	((* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))))) w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)))) (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))) 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* (/ h l) (* (/ D (+ d d)) M)) (/ h l) h l (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) d M (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d)))))))) (sqrt (- 1 (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))))))) (- 1 (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d)))))) (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))))) (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d)))) (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) (* (* D M) (* D M)) (* D M) (* (+ d d) (+ d d)) (* w0 (sqrt (- 1 (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l))))) (sqrt (- 1 (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l)))) (- 1 (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l))) (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l)) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))) (/ (+ d d) (* D M)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l) (* (pow D 2) (* (pow M 2) h)) (pow D 2) 2 (* (pow M 2) h) (pow M 2))
9.0ms	w0	@	0	((* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))))) w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)))) (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))) 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* (/ h l) (* (/ D (+ d d)) M)) (/ h l) h l (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) d M (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d)))))))) (sqrt (- 1 (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))))))) (- 1 (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d)))))) (* h (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))))) (* (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d)))) (/ 1 l) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) (* (* D M) (* D M)) (* D M) (* (+ d d) (+ d d)) (* w0 (sqrt (- 1 (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l))))) (sqrt (- 1 (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l)))) (- 1 (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l))) (* (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (/ h l)) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))) (/ (+ d d) (* D M)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l) (* (pow D 2) (* (pow M 2) h)) (pow D 2) 2 (* (pow M 2) h) (pow M 2))

rewrite47.0ms (1.2%)

Memory

14.4MiB live, 59.0MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	590
0	94	449
0	397	449

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

48 → 216

Calls

Call 1

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

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

eval64.0ms (1.6%)

Memory: -11.4MiB live, 80.9MiB allocated; 59ms collecting garbage
Compiler: Compiled 6 743 to 2 010 computations (70.2% saved)

prune18.0ms (0.4%)

Memory

-9.1MiB live, 36.6MiB allocated; 4ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	307	13	320
Fresh	3	2	5
Picked	4	1	5
Done	0	0	0
Total	314	16	330

Accuracy

97.8%

Counts

330 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.0%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)))) w0)
	50.4%	(.f64 w0 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l) #s(literal 1 binary64)))))
▶	91.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 h (.f64 M (/.f64 D (+.f64 d d)))) l) (*.f64 (/.f64 D (+.f64 d d)) M)))))
	86.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (/.f64 (.f64 M D) (+.f64 d d))) (/.f64 (*.f64 M D) (+.f64 d d))))))
	85.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (.f64 (.f64 D (/.f64 #s(literal 1 binary64) (+.f64 d d))) M)) (.f64 (*.f64 D (/.f64 #s(literal 1 binary64) (+.f64 d d))) M)))))
	84.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) (/.f64 D (+.f64 d d))) M) (*.f64 (/.f64 D (+.f64 d d)) M)))))
▶	83.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (* (/ h l) (* (/ D (+ d d)) M)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (.f64 M h)) (.f64 d l)))) (*.f64 (/.f64 D (+.f64 d d)) M)))))
✓	67.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	19.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)))) w0) d))
	24.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 w0 (sqrt.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M D) D) M) h) l))))) d))
	9.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 w0 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (/.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h l))))) l))) d))
	23.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 w0 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (.f64 M (sqrt.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) l))))))) d))
▶	23.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 w0 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (.f64 D (sqrt.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l))))))) d))
▶	2.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 w0 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (.f64 #s(literal -1 binary64) (.f64 D (sqrt.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))))))) d))
	9.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 #s(approx (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (/.f64 (.f64 w0 (sqrt.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h l)))))) l)) d))
	2.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (.f64 #s(literal -1 binary64) (/.f64 (.f64 D (.f64 w0 (sqrt.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))))) d))))

Compiler

Compiled 929 to 883 computations (5% saved)

series173.0ms (4.3%)

Memory

29.3MiB live, 362.6MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	809	9101

Stop Event

1×	iter-limit

Counts

58 → 169

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
23.0ms	M	@	0	((* w0 (sqrt (- 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M))))) w0 (sqrt (- 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M)))) (- 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M))) 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M)) (/ (* h (* M (/ D (+ d d)))) l) (* h (* M (/ D (+ d d)))) h (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) d l (* (/ D (+ d d)) M) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) w0) d) (* (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) w0) (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (* -1/4 (* (* D D) (/ (* (* M M) h) l))) -1/4 (* (* D D) (/ (* (* M M) h) l)) (* D D) (/ (* (* M M) h) l) (* (* M M) h) (* M M) (* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))))) (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)))) (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))) (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* (/ h l) (* (/ D (+ d d)) M)) (* 1/2 (/ (* D (* M h)) (* d l))) 1/2 (/ (* D (* M h)) (* d l)) (* D (* M h)) (* M h) (* d l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l))))) (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l)))) (neg (* 1/4 (/ (* (pow M 2) h) l))) (* 1/4 (/ (* (pow M 2) h) l)) 1/4 (/ (* (pow M 2) h) l) (* (pow M 2) h) (pow M 2) 2 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (* -1 (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l)))))) -1)
12.0ms	M	@	-inf	((* w0 (sqrt (- 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M))))) w0 (sqrt (- 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M)))) (- 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M))) 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M)) (/ (* h (* M (/ D (+ d d)))) l) (* h (* M (/ D (+ d d)))) h (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) d l (* (/ D (+ d d)) M) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) w0) d) (* (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) w0) (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (* -1/4 (* (* D D) (/ (* (* M M) h) l))) -1/4 (* (* D D) (/ (* (* M M) h) l)) (* D D) (/ (* (* M M) h) l) (* (* M M) h) (* M M) (* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))))) (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)))) (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))) (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* (/ h l) (* (/ D (+ d d)) M)) (* 1/2 (/ (* D (* M h)) (* d l))) 1/2 (/ (* D (* M h)) (* d l)) (* D (* M h)) (* M h) (* d l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l))))) (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l)))) (neg (* 1/4 (/ (* (pow M 2) h) l))) (* 1/4 (/ (* (pow M 2) h) l)) 1/4 (/ (* (pow M 2) h) l) (* (pow M 2) h) (pow M 2) 2 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (* -1 (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l)))))) -1)
9.0ms	d	@	inf	((* w0 (sqrt (- 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M))))) w0 (sqrt (- 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M)))) (- 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M))) 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M)) (/ (* h (* M (/ D (+ d d)))) l) (* h (* M (/ D (+ d d)))) h (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) d l (* (/ D (+ d d)) M) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) w0) d) (* (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) w0) (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (* -1/4 (* (* D D) (/ (* (* M M) h) l))) -1/4 (* (* D D) (/ (* (* M M) h) l)) (* D D) (/ (* (* M M) h) l) (* (* M M) h) (* M M) (* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))))) (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)))) (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))) (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* (/ h l) (* (/ D (+ d d)) M)) (* 1/2 (/ (* D (* M h)) (* d l))) 1/2 (/ (* D (* M h)) (* d l)) (* D (* M h)) (* M h) (* d l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l))))) (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l)))) (neg (* 1/4 (/ (* (pow M 2) h) l))) (* 1/4 (/ (* (pow M 2) h) l)) 1/4 (/ (* (pow M 2) h) l) (* (pow M 2) h) (pow M 2) 2 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (* -1 (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l)))))) -1)
8.0ms	D	@	inf	((* w0 (sqrt (- 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M))))) w0 (sqrt (- 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M)))) (- 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M))) 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M)) (/ (* h (* M (/ D (+ d d)))) l) (* h (* M (/ D (+ d d)))) h (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) d l (* (/ D (+ d d)) M) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) w0) d) (* (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) w0) (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (* -1/4 (* (* D D) (/ (* (* M M) h) l))) -1/4 (* (* D D) (/ (* (* M M) h) l)) (* D D) (/ (* (* M M) h) l) (* (* M M) h) (* M M) (* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))))) (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)))) (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))) (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* (/ h l) (* (/ D (+ d d)) M)) (* 1/2 (/ (* D (* M h)) (* d l))) 1/2 (/ (* D (* M h)) (* d l)) (* D (* M h)) (* M h) (* d l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l))))) (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l)))) (neg (* 1/4 (/ (* (pow M 2) h) l))) (* 1/4 (/ (* (pow M 2) h) l)) 1/4 (/ (* (pow M 2) h) l) (* (pow M 2) h) (pow M 2) 2 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (* -1 (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l)))))) -1)
8.0ms	h	@	-inf	((* w0 (sqrt (- 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M))))) w0 (sqrt (- 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M)))) (- 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M))) 1 (* (/ (* h (* M (/ D (+ d d)))) l) (* (/ D (+ d d)) M)) (/ (* h (* M (/ D (+ d d)))) l) (* h (* M (/ D (+ d d)))) h (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) d l (* (/ D (+ d d)) M) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) w0) d) (* (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) w0) (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) (* -1/4 (* (* D D) (/ (* (* M M) h) l))) -1/4 (* (* D D) (/ (* (* M M) h) l)) (* D D) (/ (* (* M M) h) l) (* (* M M) h) (* M M) (* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))))) (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)))) (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))) (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* (/ h l) (* (/ D (+ d d)) M)) (* 1/2 (/ (* D (* M h)) (* d l))) 1/2 (/ (* D (* M h)) (* d l)) (* D (* M h)) (* M h) (* d l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l))))) (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l)))) (neg (* 1/4 (/ (* (pow M 2) h) l))) (* 1/4 (/ (* (pow M 2) h) l)) 1/4 (/ (* (pow M 2) h) l) (* (pow M 2) h) (pow M 2) 2 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (* -1 (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l)))))) -1)

rewrite46.0ms (1.1%)

Memory

-14.8MiB live, 78.3MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	826
0	119	801
0	412	801

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

58 → 190

Calls

Call 1

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

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

eval44.0ms (1.1%)

Memory: 6.9MiB live, 101.0MiB allocated; 9ms collecting garbage
Compiler: Compiled 7 697 to 2 165 computations (71.9% saved)

prune19.0ms (0.5%)

Memory

4.1MiB live, 48.6MiB allocated; 3ms collecting garbage

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	355	12	367
Fresh	6	4	10
Picked	4	1	5
Done	0	1	1
Total	365	18	383

Accuracy

98.5%

Counts

383 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.0%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)))) w0)
	85.9%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)))) w0)
	83.9%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (* (/ h l) (* (/ D (+ d d)) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 M h) D)) (.f64 l d))) (*.f64 (/.f64 D (+.f64 d d)) M)))) w0)
	50.4%	(.f64 w0 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l) #s(literal 1 binary64)))))
✓	91.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 h (.f64 M (/.f64 D (+.f64 d d)))) l) (*.f64 (/.f64 D (+.f64 d d)) M)))))
▶	86.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (/.f64 (.f64 M D) (+.f64 d d))) (/.f64 (*.f64 M D) (+.f64 d d))))))
▶	85.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (.f64 (.f64 D (/.f64 #s(literal 1 binary64) (+.f64 d d))) M)) (.f64 (*.f64 D (/.f64 #s(literal 1 binary64) (+.f64 d d))) M)))))
	83.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx ( (/ h l) (* (/ D (+ d d)) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 M h) D)) (.f64 l d))) (/.f64 D (+.f64 d d))) M))))
▶	84.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (* (/ h l) (* (/ D (+ d d)) M)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 D M) h) (.f64 d l)))) (*.f64 (/.f64 D (+.f64 d d)) M)))))
✓	67.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	23.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 #s(approx (sqrt ( -1/4 (* (* D D) (/ (* (* M M) h) l)))) (.f64 M (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) l))))) w0) d))
	23.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 M M) h) l))) D)) w0) d))
▶	2.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (neg.f64 (.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 M M) h) l))) D))) w0) d))
▶	30.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 w0 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (.f64 D #s(approx (sqrt (neg ( 1/4 (/ (* (pow M 2) h) l)))) (.f64 M (sqrt.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (/.f64 h l))))))))) d))
	1.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 w0 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (.f64 D #s(approx (sqrt (neg ( 1/4 (/ (* (pow M 2) h) l)))) (.f64 #s(literal -1 binary64) (.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 h l)))))))))) d))
	9.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 #s(approx (* (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) w0) (/.f64 (.f64 w0 (sqrt.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h l)))))) l)) d))
	23.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 w0 (/.f64 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 M M) h) l))) D)) d)))
	2.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 w0 (/.f64 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (neg.f64 (.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 M M) h) l))) D))) d)))

Compiler

Compiled 1 048 to 994 computations (5.2% saved)

series181.0ms (4.5%)

Memory

-4.8MiB live, 234.6MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	811	8934

Stop Event

1×	iter-limit

Counts

60 → 169

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	M	@	-inf	((* w0 (sqrt (- 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d)))))) w0 (sqrt (- 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d))))) (- 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d)))) 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d))) (* (/ h l) (/ (* M D) (+ d d))) (/ h l) h l (/ (* M D) (+ d d)) (* M D) M D (+ d d) d (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l))))) (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l)))) (* M (sqrt (neg (* 1/4 (/ h l))))) (sqrt (neg (* 1/4 (/ h l)))) (neg (* 1/4 (/ h l))) (* 1/4 (/ h l)) 1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) w0) d) (* (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) w0) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (neg (* (sqrt (* -1/4 (/ (* (* M M) h) l))) D)) (* (sqrt (* -1/4 (/ (* (* M M) h) l))) D) (sqrt (* -1/4 (/ (* (* M M) h) l))) (* -1/4 (/ (* (* M M) h) l)) -1/4 (/ (* (* M M) h) l) (* (* M M) h) (* M M) (* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))))) (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)))) (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))) (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* (/ h l) (* (/ D (+ d d)) M)) (* 1/2 (/ (* (* D M) h) (* d l))) 1/2 (/ (* (* D M) h) (* d l)) (* (* D M) h) (* D M) (* d l) (* (/ D (+ d d)) M) (/ D (+ d d)) (* w0 (sqrt (- 1 (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M))))) (sqrt (- 1 (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M)))) (- 1 (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M))) (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M)) (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M) (* D (/ 1 (+ d d))) (/ 1 (+ d d)))
19.0ms	w0	@	-inf	((* w0 (sqrt (- 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d)))))) w0 (sqrt (- 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d))))) (- 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d)))) 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d))) (* (/ h l) (/ (* M D) (+ d d))) (/ h l) h l (/ (* M D) (+ d d)) (* M D) M D (+ d d) d (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l))))) (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l)))) (* M (sqrt (neg (* 1/4 (/ h l))))) (sqrt (neg (* 1/4 (/ h l)))) (neg (* 1/4 (/ h l))) (* 1/4 (/ h l)) 1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) w0) d) (* (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) w0) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (neg (* (sqrt (* -1/4 (/ (* (* M M) h) l))) D)) (* (sqrt (* -1/4 (/ (* (* M M) h) l))) D) (sqrt (* -1/4 (/ (* (* M M) h) l))) (* -1/4 (/ (* (* M M) h) l)) -1/4 (/ (* (* M M) h) l) (* (* M M) h) (* M M) (* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))))) (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)))) (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))) (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* (/ h l) (* (/ D (+ d d)) M)) (* 1/2 (/ (* (* D M) h) (* d l))) 1/2 (/ (* (* D M) h) (* d l)) (* (* D M) h) (* D M) (* d l) (* (/ D (+ d d)) M) (/ D (+ d d)) (* w0 (sqrt (- 1 (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M))))) (sqrt (- 1 (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M)))) (- 1 (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M))) (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M)) (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M) (* D (/ 1 (+ d d))) (/ 1 (+ d d)))
15.0ms	D	@	inf	((* w0 (sqrt (- 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d)))))) w0 (sqrt (- 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d))))) (- 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d)))) 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d))) (* (/ h l) (/ (* M D) (+ d d))) (/ h l) h l (/ (* M D) (+ d d)) (* M D) M D (+ d d) d (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l))))) (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l)))) (* M (sqrt (neg (* 1/4 (/ h l))))) (sqrt (neg (* 1/4 (/ h l)))) (neg (* 1/4 (/ h l))) (* 1/4 (/ h l)) 1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) w0) d) (* (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) w0) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (neg (* (sqrt (* -1/4 (/ (* (* M M) h) l))) D)) (* (sqrt (* -1/4 (/ (* (* M M) h) l))) D) (sqrt (* -1/4 (/ (* (* M M) h) l))) (* -1/4 (/ (* (* M M) h) l)) -1/4 (/ (* (* M M) h) l) (* (* M M) h) (* M M) (* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))))) (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)))) (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))) (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* (/ h l) (* (/ D (+ d d)) M)) (* 1/2 (/ (* (* D M) h) (* d l))) 1/2 (/ (* (* D M) h) (* d l)) (* (* D M) h) (* D M) (* d l) (* (/ D (+ d d)) M) (/ D (+ d d)) (* w0 (sqrt (- 1 (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M))))) (sqrt (- 1 (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M)))) (- 1 (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M))) (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M)) (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M) (* D (/ 1 (+ d d))) (/ 1 (+ d d)))
9.0ms	h	@	-inf	((* w0 (sqrt (- 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d)))))) w0 (sqrt (- 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d))))) (- 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d)))) 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d))) (* (/ h l) (/ (* M D) (+ d d))) (/ h l) h l (/ (* M D) (+ d d)) (* M D) M D (+ d d) d (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l))))) (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l)))) (* M (sqrt (neg (* 1/4 (/ h l))))) (sqrt (neg (* 1/4 (/ h l)))) (neg (* 1/4 (/ h l))) (* 1/4 (/ h l)) 1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) w0) d) (* (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) w0) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (neg (* (sqrt (* -1/4 (/ (* (* M M) h) l))) D)) (* (sqrt (* -1/4 (/ (* (* M M) h) l))) D) (sqrt (* -1/4 (/ (* (* M M) h) l))) (* -1/4 (/ (* (* M M) h) l)) -1/4 (/ (* (* M M) h) l) (* (* M M) h) (* M M) (* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))))) (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)))) (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))) (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* (/ h l) (* (/ D (+ d d)) M)) (* 1/2 (/ (* (* D M) h) (* d l))) 1/2 (/ (* (* D M) h) (* d l)) (* (* D M) h) (* D M) (* d l) (* (/ D (+ d d)) M) (/ D (+ d d)) (* w0 (sqrt (- 1 (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M))))) (sqrt (- 1 (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M)))) (- 1 (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M))) (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M)) (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M) (* D (/ 1 (+ d d))) (/ 1 (+ d d)))
7.0ms	D	@	-inf	((* w0 (sqrt (- 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d)))))) w0 (sqrt (- 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d))))) (- 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d)))) 1 (* (* (/ h l) (/ (* M D) (+ d d))) (/ (* M D) (+ d d))) (* (/ h l) (/ (* M D) (+ d d))) (/ h l) h l (/ (* M D) (+ d d)) (* M D) M D (+ d d) d (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) d) (* w0 (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))))) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l))))) (sqrt (neg (* 1/4 (/ (* (pow M 2) h) l)))) (* M (sqrt (neg (* 1/4 (/ h l))))) (sqrt (neg (* 1/4 (/ h l)))) (neg (* 1/4 (/ h l))) (* 1/4 (/ h l)) 1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) w0) d) (* (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) w0) (sqrt (neg (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (neg (* (sqrt (* -1/4 (/ (* (* M M) h) l))) D)) (* (sqrt (* -1/4 (/ (* (* M M) h) l))) D) (sqrt (* -1/4 (/ (* (* M M) h) l))) (* -1/4 (/ (* (* M M) h) l)) -1/4 (/ (* (* M M) h) l) (* (* M M) h) (* M M) (* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))))) (sqrt (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)))) (- 1 (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M))) (* (* (/ h l) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* (/ h l) (* (/ D (+ d d)) M)) (* 1/2 (/ (* (* D M) h) (* d l))) 1/2 (/ (* (* D M) h) (* d l)) (* (* D M) h) (* D M) (* d l) (* (/ D (+ d d)) M) (/ D (+ d d)) (* w0 (sqrt (- 1 (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M))))) (sqrt (- 1 (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M)))) (- 1 (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M))) (* (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M)) (* (/ h l) (* (* D (/ 1 (+ d d))) M)) (* (* D (/ 1 (+ d d))) M) (* D (/ 1 (+ d d))) (/ 1 (+ d d)))

rewrite41.0ms (1%)

Memory

33.2MiB live, 33.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	919
0	131	826
0	467	826

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

60 → 212

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M))))
w0
(pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (*.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (*.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M)))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (*.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M) (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M) (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M) (.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (*.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M)))))
(neg.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (*.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (*.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (.f64 (/.f64 D (+.f64 d d)) M) (.f64 (/.f64 D (+.f64 d d)) M))) (/.f64 h l)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 (.f64 (.f64 D M) h) (.f64 l (+.f64 d d)))) (*.f64 (/.f64 D (+.f64 d d)) M)))
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (*.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M)))
#s(literal 1 binary64)
(.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (*.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M)
(.f64 (.f64 (.f64 (/.f64 D (+.f64 d d)) M) (.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))
(.f64 (/.f64 (.f64 (.f64 D M) h) (.f64 l (+.f64 d d))) (*.f64 (/.f64 D (+.f64 d d)) M))
(.f64 (.f64 (/.f64 D (+.f64 d d)) M) (/.f64 (.f64 (.f64 D M) h) (*.f64 l (+.f64 d d))))
(.f64 (/.f64 h l) (.f64 (.f64 (/.f64 D (+.f64 d d)) M) (.f64 (/.f64 D (+.f64 d d)) M)))
(/.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (.f64 l (+.f64 d d))) (*.f64 D M)) (+.f64 d d))
(/.f64 (.f64 (.f64 (.f64 (/.f64 D (+.f64 d d)) M) (.f64 (/.f64 D (+.f64 d d)) M)) h) l)
(.f64 (.f64 (/.f64 h l) (/.f64 D (+.f64 d d))) M)
(.f64 (.f64 (/.f64 D (+.f64 d d)) M) (/.f64 h l))
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(*.f64 (/.f64 D (+.f64 d d)) M)
(.f64 (.f64 D M) (/.f64 #s(literal 1 binary64) (+.f64 d d)))
(.f64 D (.f64 (/.f64 #s(literal 1 binary64) (+.f64 d d)) M))
(*.f64 M (/.f64 D (+.f64 d d)))
(/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(/.f64 (neg.f64 (*.f64 D M)) (neg.f64 (+.f64 d d)))
(/.f64 (*.f64 D M) (+.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 d d) (*.f64 D M)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 d d)) D)
(*.f64 D (/.f64 #s(literal 1 binary64) (+.f64 d d)))
(/.f64 (*.f64 D #s(literal 1 binary64)) (+.f64 d d))
(/.f64 (neg.f64 D) (neg.f64 (+.f64 d d)))
(/.f64 D (+.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 d d) D))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 d d)))
(pow.f64 (+.f64 d d) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 d d) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 d d))

eval57.0ms (1.4%)

Memory: -40.5MiB live, 53.0MiB allocated; 26ms collecting garbage
Compiler: Compiled 7 594 to 2 247 computations (70.4% saved)

prune25.0ms (0.6%)

Memory

36.4MiB live, 36.4MiB allocated; 0ms collecting garbage

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	340	10	350
Fresh	6	5	11
Picked	4	1	5
Done	1	1	2
Total	351	17	368

Accuracy

98.5%

Counts

368 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.0%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)))) w0)
	83.7%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (.f64 l (+.f64 d d))) (/.f64 D (+.f64 d d))) M))) w0)
	85.9%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)))) w0)
	50.4%	(.f64 w0 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l) #s(literal 1 binary64)))))
	86.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 D M) h) (.f64 l (+.f64 d d))) (.f64 D M)) (+.f64 d d)))))
✓	86.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (/.f64 (.f64 M D) (+.f64 d d))) (/.f64 (*.f64 M D) (+.f64 d d))))))
	84.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (* (/ h l) (* (/ D (+ d d)) M)) (.f64 (.f64 (.f64 D M) (/.f64 h (.f64 d l))) #s(literal 1/2 binary64))) (*.f64 (/.f64 D (+.f64 d d)) M)))))
✓	67.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	30.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (.f64 #s(approx (sqrt (neg ( 1/4 (/ (* (pow M 2) h) l)))) (.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 h l))) M)) D)) w0) d))
	2.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 (.f64 M M) (/.f64 h l)) #s(literal -1/4 binary64))) D))) w0) d))
	1.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (neg.f64 (.f64 #s(approx (sqrt ( -1/4 (/ (* (* M M) h) l))) (.f64 M (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 h l))))) D))) w0) d))
	30.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 w0 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (.f64 D #s(approx (sqrt (neg ( 1/4 (/ (* (pow M 2) h) l)))) (.f64 M (sqrt.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (*.f64 h (/.f64 #s(literal 1 binary64) l)))))))))) d))
	13.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 w0 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (.f64 D #s(approx (sqrt (neg ( 1/4 (/ (* (pow M 2) h) l)))) #s(approx (* M (sqrt (neg (* 1/4 (/ h l))))) (/.f64 (.f64 M (sqrt.f64 (.f64 #s(literal -1/4 binary64) (*.f64 h l)))) l)))))) d))
	9.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 #s(approx (* (sqrt (* -1/4 (* (* D D) (/ (* (* M M) h) l)))) w0) (/.f64 (.f64 w0 (sqrt.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h l)))))) l)) d))
	2.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) l))) D)) (/.f64 w0 d)))
	23.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 w0 (/.f64 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 M M) h) l))) D)) d)))
	30.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 w0 (/.f64 #s(approx (sqrt (neg ( 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)))) (.f64 #s(approx (sqrt (neg ( 1/4 (/ (* (pow M 2) h) l)))) (.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 h l))) M)) D)) d)))

Compiler

Compiled 1 310 to 905 computations (30.9% saved)

regimes166.0ms (4.1%)

Memory

-6.9MiB live, 181.9MiB allocated; 20ms collecting garbage

Counts

46 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

15.0ms	(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))))
14.0ms	D
12.0ms	d
12.0ms	(*.f64 M D)
11.0ms	M

Results

Accuracy	Segments	Branch
91.0%	1	`(/.f64 h l)`
91.0%	1	`(*.f64 #s(literal 2 binary64) d)`
91.0%	1	`(*.f64 M D)`
94.7%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
94.7%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
95.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
96.2%	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)))`
96.2%	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))))`
96.2%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
91.0%	1	`w0`
91.0%	1	`M`
91.0%	1	`D`
91.0%	1	`h`
91.0%	1	`l`
91.0%	1	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes48.0ms (1.2%)

Memory

-10.1MiB live, 36.1MiB allocated; 3ms collecting garbage

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

17.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
7.0ms	(.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 (.f64 M D) (.f64 #s(literal 2 binary64) d))
5.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
5.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))

Results

Accuracy	Segments	Branch
96.2%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
96.2%	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)))`
96.2%	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))))`
95.8%	3	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
95.8%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
96.2%	3	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 78 to 82 computations (-5.1% saved)

regimes23.0ms (0.6%)

Memory

29.9MiB live, 29.9MiB allocated; 0ms collecting garbage

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

7.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
5.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
5.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
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
94.7%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
94.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
95.4%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
95.4%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`

Compiler

Compiled 62 to 61 computations (1.6% saved)

regimes16.0ms (0.4%)

Memory

-14.7MiB live, 30.9MiB allocated; 2ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

15 calls:

3.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
1.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms	(*.f64 #s(literal 2 binary64) d)
1.0ms	h
1.0ms	w0

Results

Accuracy	Segments	Branch
67.1%	1	`(*.f64 #s(literal 2 binary64) d)`
67.1%	1	`(*.f64 M D)`
67.1%	1	`D`
67.1%	1	`h`
67.1%	1	`d`
67.1%	1	`(/.f64 h l)`
67.1%	1	`w0`
67.1%	1	`M`
67.1%	1	`l`
67.1%	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)))))`
67.1%	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)))`
67.1%	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))))`
67.1%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
67.1%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
67.1%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.699028529579897e+198	-2.7896948072775153e+196

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.359786489138185e-72	6.617489845836488e-39
0.0ms	-2.699028529579897e+198	-2.7896948072775153e+196

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8427011425400.543	-9.547379150106101e-9

Compiler

Compiled 21 to 26 computations (-23.8% saved)

derivations25.0ms (0.6%)

Memory

-28.7MiB live, 22.1MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 134 to 88 computations (34.3% saved)

preprocess167.0ms (4.1%)

Memory

32.6MiB live, 223.8MiB allocated; 55ms collecting garbage

Remove

(sort M D)

(negabs w0)

(abs d)

(abs D)

(abs M)

Compiler

Compiled 4 030 to 3 467 computations (14% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze523.0ms (12.9%)

sample1.7s (43.1%)

preprocess50.0ms (1.2%)

series262.0ms (6.5%)

rewrite70.0ms (1.7%)

eval37.0ms (0.9%)

prune10.0ms (0.2%)

series188.0ms (4.6%)

rewrite47.0ms (1.2%)

eval64.0ms (1.6%)

prune18.0ms (0.4%)

series173.0ms (4.3%)

rewrite46.0ms (1.1%)

eval44.0ms (1.1%)

prune19.0ms (0.5%)

series181.0ms (4.5%)

rewrite41.0ms (1%)

eval57.0ms (1.4%)

prune25.0ms (0.6%)

regimes166.0ms (4.1%)

regimes48.0ms (1.2%)

regimes23.0ms (0.6%)

regimes16.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

derivations25.0ms (0.6%)

preprocess167.0ms (4.1%)

end0.0ms (0%)

Profiling