Henrywood and Agarwal, Equation (9a)

Time bar (total: 6.0s)

start0.0ms (0%)

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

analyze539.0ms (9%)

Memory
-20.5MiB live, 756.6MiB allocated; 230ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.7%0.3%0%0%0%0
0%0%99.7%0.3%0%0%0%1
0%0%99.7%0.3%0%0%0%2
0%0%99.7%0.3%0%0%0%3
0%0%99.7%0.3%0%0%0%4
0%0%99.7%0.3%0%0%0%5
0%0%99.7%0.3%0%0%0%6
12.5%12.5%87.2%0.3%0%0%0%7
12.5%12.5%87.2%0.3%0%0%0%8
12.5%12.5%87.2%0.3%0%0%0%9
12.5%12.5%87.2%0.3%0%0%0%10
12.5%12.5%87.2%0.3%0%0%0%11
18.8%18.7%81%0.3%0%0%0%12
Compiler

Compiled 20 to 19 computations (5% saved)

sample2.3s (37.9%)

Memory
-3.5MiB live, 2 903.2MiB allocated; 1.9s collecting garbage
Samples
931.0ms2 699×0invalid
882.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-sqrt: 737.0ms (56% of total)
ival-mult!: 225.0ms (17.1% of total)
ival-div!: 170.0ms (12.9% of total)
ival-pow2: 157.0ms (11.9% of total)
ival-sub!: 25.0ms (1.9% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

preprocess77.0ms (1.3%)

Memory
-36.2MiB live, 81.6MiB allocated; 57ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0168514
1684510
23087510
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.8%
(*.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)

series115.0ms (1.9%)

Memory
45.1MiB live, 227.8MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06496774
Stop Event
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 (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 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)) (pow.f64 d #s(literal 2 binary64))))) l))
#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:

TimeVariablePoint
17.0ms
d
inf
8.0ms
M
inf
7.0ms
h
inf
6.0ms
D
-inf
6.0ms
M
0

rewrite96.0ms (1.6%)

Memory
-3.9MiB live, 174.5MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01795
02695
19195
239695
0404895
Stop Event
iter-limit
node-limit
iter-limit
Counts
17 → 499
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 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d))))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d))))))
w0
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d)))))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d)))))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d)))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d)))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) h))) (sqrt.f64 l))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d)))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d))))))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d)))))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d))))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d))))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d)))))) (neg.f64 (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) h)) (/.f64 #s(literal 1 binary64) l))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d)))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d))))))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d))))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d))))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d)))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 l) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) h)) (neg.f64 l))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 l)) (*.f64 (*.f64 (neg.f64 M) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M)) h)) (neg.f64 l))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M)) h) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) l)) (*.f64 l #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) h) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 l))) (*.f64 (neg.f64 l) #s(literal 2 binary64)))
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(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) d)
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (/.f64 M (+.f64 d d)) D) #s(literal 1 binary64))
(/.f64 (*.f64 D M) (+.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 D d) M)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (neg.f64 M) D)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 d d) (*.f64 D M)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M)))
(*.f64 (neg.f64 (neg.f64 M)) D)
(*.f64 (neg.f64 (neg.f64 D)) M)
(*.f64 (neg.f64 M) (neg.f64 D))
(*.f64 (neg.f64 D) (neg.f64 M))
(*.f64 (*.f64 D M) #s(literal 1 binary64))
(*.f64 D (*.f64 M #s(literal 1 binary64)))
(*.f64 D (neg.f64 (neg.f64 M)))
(*.f64 D M)
(*.f64 M (*.f64 D #s(literal 1 binary64)))
(*.f64 M (neg.f64 (neg.f64 D)))
(*.f64 M D)
(*.f64 #s(literal 1 binary64) (*.f64 D M))
(/.f64 (*.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 M) D))
(fma.f64 (neg.f64 (neg.f64 M)) D (*.f64 (*.f64 D M) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 M)) D (*.f64 #s(literal 0 binary64) (*.f64 D M)))
(fma.f64 (neg.f64 (neg.f64 D)) M (*.f64 (*.f64 D M) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 D)) M (*.f64 #s(literal 0 binary64) (*.f64 D M)))
(fma.f64 (neg.f64 M) (neg.f64 D) (*.f64 (*.f64 D M) #s(literal 0 binary64)))
(fma.f64 (neg.f64 M) (neg.f64 D) (*.f64 #s(literal 0 binary64) (*.f64 D M)))
(fma.f64 (neg.f64 D) (neg.f64 M) (*.f64 (*.f64 D M) #s(literal 0 binary64)))
(fma.f64 (neg.f64 D) (neg.f64 M) (*.f64 #s(literal 0 binary64) (*.f64 D M)))
(fma.f64 (*.f64 D M) #s(literal 1 binary64) (*.f64 (*.f64 D M) #s(literal 0 binary64)))
(fma.f64 (*.f64 D M) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 D M)))
(fma.f64 D (*.f64 M #s(literal 1 binary64)) (*.f64 (*.f64 D M) #s(literal 0 binary64)))
(fma.f64 D (*.f64 M #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 D M)))
(fma.f64 D (neg.f64 (neg.f64 M)) (*.f64 (*.f64 D M) #s(literal 0 binary64)))
(fma.f64 D (neg.f64 (neg.f64 M)) (*.f64 #s(literal 0 binary64) (*.f64 D M)))
(fma.f64 D M (*.f64 (*.f64 D M) #s(literal 0 binary64)))
(fma.f64 D M (*.f64 #s(literal 0 binary64) (*.f64 D M)))
(fma.f64 M (*.f64 D #s(literal 1 binary64)) (*.f64 (*.f64 D M) #s(literal 0 binary64)))
(fma.f64 M (*.f64 D #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 D M)))
(fma.f64 M (neg.f64 (neg.f64 D)) (*.f64 (*.f64 D M) #s(literal 0 binary64)))
(fma.f64 M (neg.f64 (neg.f64 D)) (*.f64 #s(literal 0 binary64) (*.f64 D M)))
(fma.f64 M D (*.f64 (*.f64 D M) #s(literal 0 binary64)))
(fma.f64 M D (*.f64 #s(literal 0 binary64) (*.f64 D M)))
(fma.f64 #s(literal 1 binary64) (*.f64 D M) (*.f64 (*.f64 D M) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 D M) (*.f64 #s(literal 0 binary64) (*.f64 D M)))
(+.f64 (*.f64 D M) (*.f64 (*.f64 D M) #s(literal 0 binary64)))
(+.f64 (*.f64 D M) (*.f64 #s(literal 0 binary64) (*.f64 D M)))
M
D
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) d)) d)
(*.f64 (neg.f64 (neg.f64 d)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 d d)) d)
(*.f64 (neg.f64 d) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 d))
(*.f64 (+.f64 d d) #s(literal 1 binary64))
(*.f64 d #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 d)))
(*.f64 #s(literal 2 binary64) d)
(*.f64 #s(literal 1 binary64) (+.f64 d d))
(/.f64 (-.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (neg.f64 d) #s(literal 3 binary64))) (fma.f64 d d (+.f64 (*.f64 d d) (*.f64 d (neg.f64 d)))))
(/.f64 (-.f64 (*.f64 d d) (*.f64 d d)) (+.f64 d (neg.f64 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))))
(neg.f64 (*.f64 #s(literal -2 binary64) d))
(-.f64 d (*.f64 (neg.f64 d) #s(literal 1 binary64)))
(-.f64 d (*.f64 #s(literal -1 binary64) d))
(-.f64 d (neg.f64 d))
(+.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 d)))
(+.f64 d (neg.f64 (neg.f64 d)))
(+.f64 d d)
#s(literal 2 binary64)
d
(*.f64 (/.f64 #s(literal -1 binary64) l) (neg.f64 h))
(*.f64 (/.f64 #s(literal 1 binary64) l) h)
(*.f64 (neg.f64 h) (/.f64 #s(literal -1 binary64) l))
(*.f64 h (/.f64 #s(literal 1 binary64) l))
(*.f64 #s(literal 1 binary64) (/.f64 h l))
(/.f64 (*.f64 (neg.f64 h) #s(literal 1 binary64)) (neg.f64 l))
(/.f64 (*.f64 h #s(literal -1 binary64)) (neg.f64 l))
(/.f64 (*.f64 #s(literal -1 binary64) h) (neg.f64 l))
(/.f64 (neg.f64 h) (neg.f64 l))
(/.f64 h l)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 l) (neg.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 l h))
(neg.f64 (/.f64 (neg.f64 h) l))
h
l

eval94.0ms (1.6%)

Memory
17.3MiB live, 206.0MiB allocated; 30ms collecting garbage
Compiler

Compiled 18 917 to 3 463 computations (81.7% saved)

prune24.0ms (0.4%)

Memory
-18.2MiB live, 74.3MiB allocated; 7ms collecting garbage
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New58016596
Fresh000
Picked101
Done000
Total58116597
Accuracy
94.1%
Counts
597 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.4%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d))))) w0)
85.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))) (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M)) #s(literal 1 binary64))))
86.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M (+.f64 d d)) D) (/.f64 (*.f64 (/.f64 D (+.f64 d d)) (*.f64 M h)) (neg.f64 l)) #s(literal 1 binary64))))
57.5%
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) h)) l)))
64.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) h) (*.f64 d l)))))
85.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))) (*.f64 D M)) (+.f64 d d)))))
63.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) h) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) l)))))
80.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M)) #s(literal 4 binary64)) (/.f64 h l)))))
63.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l)))))
82.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D (+.f64 d d)) (*.f64 M (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))))))))
77.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d)))))
70.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M)) (/.f64 h l))))))
14.8%
(*.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))))))))
1.3%
(*.f64 w0 #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)))))))))
72.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
15.2%
#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 806 to 654 computations (18.9% saved)

series275.0ms (4.6%)

Memory
21.2MiB live, 444.9MiB allocated; 103ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095811200
Stop Event
iter-limit
Counts
52 → 188
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M (+.f64 d d)) D) (/.f64 (*.f64 (/.f64 D (+.f64 d d)) (*.f64 M h)) (neg.f64 l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 M (+.f64 d d)) D) (/.f64 (*.f64 (/.f64 D (+.f64 d d)) (*.f64 M h)) (neg.f64 l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 M (+.f64 d d)) D) (/.f64 (*.f64 (/.f64 D (+.f64 d d)) (*.f64 M h)) (neg.f64 l)) #s(literal 1 binary64))
(*.f64 (/.f64 M (+.f64 d d)) D)
(/.f64 M (+.f64 d d))
M
(+.f64 d d)
d
D
(/.f64 (*.f64 (/.f64 D (+.f64 d d)) (*.f64 M h)) (neg.f64 l))
(*.f64 (/.f64 D (+.f64 d d)) (*.f64 M h))
(/.f64 D (+.f64 d d))
(*.f64 M h)
h
(neg.f64 l)
l
#s(literal 1 binary64)
(*.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 (*.f64 D M) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M)) (/.f64 h l))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M)) (/.f64 h l)))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M)) (/.f64 h l))))
(*.f64 (*.f64 D M) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M)) (/.f64 h l)))
(*.f64 D M)
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M)) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M))
(/.f64 #s(literal 1/4 binary64) (*.f64 d d))
#s(literal 1/4 binary64)
(*.f64 d d)
(/.f64 h l)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M)) #s(literal 4 binary64)) (/.f64 h l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M)) #s(literal 4 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M)) #s(literal 4 binary64)) (/.f64 h l)))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M)) #s(literal 4 binary64)) (/.f64 h l))
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M)) #s(literal 4 binary64))
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M))
(*.f64 (/.f64 D d) M)
(/.f64 D d)
#s(literal 4 binary64)
(*.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 (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)))))))
(*.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))))))
(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)))))
(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 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))
(/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))
(*.f64 (pow.f64 M #s(literal 2 binary64)) h)
(pow.f64 M #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 d #s(literal 2 binary64)) l)
(pow.f64 d #s(literal 2 binary64))
Outputs
#s(approx (* w0 (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1))) (*.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 (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 (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1))) (+.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1))) (+.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1))) (+.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (+.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (+.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (+.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1) (+.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 (* (/ M (+ d d)) D) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D M) d)))
#s(approx (/ M (+ d d)) (*.f64 #s(literal 1/2 binary64) (/.f64 M d)))
#s(approx M M)
#s(approx (/ (* (/ D (+ d d)) (* M h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) (*.f64 d l))))
#s(approx (* (/ D (+ d d)) (* M h)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d)))
#s(approx (* M h) (*.f64 M h))
#s(approx (* (* D M) (* (* (/ 1/4 (* d d)) (* D M)) (/ 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 (* D M) (*.f64 D M))
#s(approx (* (* (/ 1/4 (* d d)) (* D M)) (/ h l)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D (*.f64 M h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
#s(approx (* (/ 1/4 (* d d)) (* D M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D M) (pow.f64 d #s(literal 2 binary64)))))
#s(approx (/ (* (* (/ D d) M) (* (/ D d) M)) 4) (*.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 d) M) (* (/ D d) M)) (/.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 d) M) (/.f64 (*.f64 D M) d))
#s(approx (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))) (*.f64 D (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))))
#s(approx (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
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#s(approx (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (*.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 (/ (* (pow M 2) h) (* (pow d 2) l)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))
#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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1))) (*.f64 M (*.f64 w0 (sqrt.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1))) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.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 (*.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 (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 M (sqrt.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 (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 M (-.f64 (+.f64 (sqrt.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 (*.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 (*.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 M (-.f64 (+.f64 (sqrt.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 (*.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 (*.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 (*.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1) (*.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1) (*.f64 (pow.f64 M #s(literal 2 binary64)) (fma.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 binary64) (pow.f64 M #s(literal 2 binary64))))))
#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))))))))))
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#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))))))))
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#s(approx (* w0 (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1))) (*.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) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))))
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#s(approx (* w0 (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1))) (*.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 (*.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 (*.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 (*.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 (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 #s(literal -1 binary64) (*.f64 M (-.f64 (+.f64 (sqrt.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 (*.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 (*.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 #s(literal -1 binary64) (*.f64 M (-.f64 (+.f64 (sqrt.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 (*.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 (*.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 (*.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 #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 (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))) (*.f64 #s(literal -1 binary64) (*.f64 D (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))))
#s(approx (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (*.f64 #s(literal -1 binary64) (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))))
#s(approx (* w0 (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1))) (+.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1))) (+.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (+.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (+.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 (/ D (+ d d)) (*.f64 #s(literal 1/2 binary64) (/.f64 D d)))
#s(approx (/ D d) (/.f64 D d))
#s(approx (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) 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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1))) (*.f64 D (*.f64 w0 (sqrt.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1))) (*.f64 D (fma.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (pow.f64 D #s(literal 2 binary64)) (sqrt.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 (*.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1))) (*.f64 D (fma.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 (sqrt.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 (*.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 (*.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1))) (*.f64 D (fma.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 (sqrt.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 (*.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 (*.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 (*.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (sqrt.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (+.f64 (sqrt.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 (*.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (-.f64 (+.f64 (sqrt.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 (*.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 (*.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (-.f64 (+.f64 (sqrt.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 (*.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 (*.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 (*.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 (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1) (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.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 binary64) (pow.f64 D #s(literal 2 binary64))))))
#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))))))))
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#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 (* (* D M) (* (* (/ 1/4 (* d d)) (* D M)) (/ 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 (/ 1/4 (* d d)) (/.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 2 binary64))))
#s(approx (* d d) (pow.f64 d #s(literal 2 binary64)))
#s(approx (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))) (/.f64 (*.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 (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))) d))
#s(approx (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.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 (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))) d)))
Calls

18 calls:

TimeVariablePoint
46.0ms
w0
inf
27.0ms
l
-inf
25.0ms
d
inf
22.0ms
h
inf
11.0ms
D
0

rewrite172.0ms (2.9%)

Memory
-2.4MiB live, 378.6MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060541
0101512
1390493
21915471
04409468
Stop Event
iter-limit
node-limit
iter-limit
Counts
52 → 1 203
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M (+.f64 d d)) D) (/.f64 (*.f64 (/.f64 D (+.f64 d d)) (*.f64 M h)) (neg.f64 l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 M (+.f64 d d)) D) (/.f64 (*.f64 (/.f64 D (+.f64 d d)) (*.f64 M h)) (neg.f64 l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 M (+.f64 d d)) D) (/.f64 (*.f64 (/.f64 D (+.f64 d d)) (*.f64 M h)) (neg.f64 l)) #s(literal 1 binary64))
(*.f64 (/.f64 M (+.f64 d d)) D)
(/.f64 M (+.f64 d d))
M
(+.f64 d d)
d
D
(/.f64 (*.f64 (/.f64 D (+.f64 d d)) (*.f64 M h)) (neg.f64 l))
(*.f64 (/.f64 D (+.f64 d d)) (*.f64 M h))
(/.f64 D (+.f64 d d))
(*.f64 M h)
h
(neg.f64 l)
l
#s(literal 1 binary64)
(*.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 (*.f64 D M) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M)) (/.f64 h l))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M)) (/.f64 h l)))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M)) (/.f64 h l))))
(*.f64 (*.f64 D M) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M)) (/.f64 h l)))
(*.f64 D M)
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M)) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M))
(/.f64 #s(literal 1/4 binary64) (*.f64 d d))
#s(literal 1/4 binary64)
(*.f64 d d)
(/.f64 h l)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M)) #s(literal 4 binary64)) (/.f64 h l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M)) #s(literal 4 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M)) #s(literal 4 binary64)) (/.f64 h l)))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M)) #s(literal 4 binary64)) (/.f64 h l))
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M)) #s(literal 4 binary64))
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M))
(*.f64 (/.f64 D d) M)
(/.f64 D d)
#s(literal 4 binary64)
(*.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 (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)))))))
(*.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))))))
(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)))))
(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 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))
(/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))
(*.f64 (pow.f64 M #s(literal 2 binary64)) h)
(pow.f64 M #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 d #s(literal 2 binary64)) l)
(pow.f64 d #s(literal 2 binary64))
Outputs
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M)))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M)))))
w0
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M))))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M))))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 l) (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) h))) (sqrt.f64 (neg.f64 l)))
(/.f64 (sqrt.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))) (sqrt.f64 l))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M))))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M)))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M)))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 D M) h) (*.f64 #s(literal -2 binary64) d))) (*.f64 (+.f64 d d) l)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 D M) h) (*.f64 #s(literal -2 binary64) d))) (*.f64 (+.f64 d d) l)))) (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 D M) h) (*.f64 #s(literal -2 binary64) d))) (*.f64 (+.f64 d d) l)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 D M) h) (*.f64 #s(literal -2 binary64) d))) (*.f64 (+.f64 d d) l)))) (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 D M) h) (*.f64 #s(literal -2 binary64) d))) (*.f64 (+.f64 d d) l)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M)))))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M)))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (+.f64 d d) l)) (*.f64 (/.f64 D (+.f64 d d)) M))) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 D (+.f64 d d)) M) (/.f64 (*.f64 (*.f64 D M) h) (*.f64 #s(literal -2 binary64) d))) #s(literal 2 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 l #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) #s(literal 2 binary64) (+.f64 d d)) (+.f64 d d))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)) (*.f64 (neg.f64 M) D)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)) (*.f64 D M)) #s(literal 2 binary64) (*.f64 (+.f64 d d) #s(literal 2 binary64))) (*.f64 (+.f64 d d) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d)))) (neg.f64 h)) #s(literal 2 binary64) (*.f64 (neg.f64 l) #s(literal 2 binary64))) (*.f64 (neg.f64 l) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d)))) h) #s(literal 2 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 l #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l))) #s(literal 2 binary64) (+.f64 d d)) (+.f64 d d))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 M) D) (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 D M) (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l))) #s(literal 2 binary64) (*.f64 (+.f64 d d) #s(literal 2 binary64))) (*.f64 (+.f64 d d) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 #s(literal -2 binary64) d)) (*.f64 (/.f64 D (+.f64 d d)) M)) #s(literal 2 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 l #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 M) (*.f64 (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)) D)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 M (*.f64 (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)) D)) #s(literal 2 binary64) (*.f64 (+.f64 d d) #s(literal 2 binary64))) (*.f64 (+.f64 d d) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 D M) h) (*.f64 #s(literal -2 binary64) d))) #s(literal 2 binary64) (*.f64 (*.f64 d l) #s(literal 2 binary64))) (*.f64 (*.f64 d l) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 D (+.f64 d d)) h) M)) #s(literal 2 binary64) (*.f64 (*.f64 d (neg.f64 l)) #s(literal 2 binary64))) (*.f64 (*.f64 d (neg.f64 l)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 M) D) (/.f64 (*.f64 (*.f64 D M) h) (*.f64 #s(literal -2 binary64) d))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) l) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) l) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 M) D) (*.f64 (*.f64 (/.f64 D (+.f64 d d)) h) M)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (neg.f64 l)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (neg.f64 l)) #s(literal 2 binary64)))
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(*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h))
(*.f64 (*.f64 M (/.f64 M (*.f64 d d))) (/.f64 h l))
(*.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 d d) l)))
(*.f64 (*.f64 (*.f64 M M) h) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) l)))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))
(*.f64 (/.f64 h l) (*.f64 M (/.f64 M (*.f64 d d))))
(*.f64 h (*.f64 (*.f64 M M) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) l))))
(*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))
(*.f64 M (*.f64 M (/.f64 h (*.f64 (*.f64 d d) l))))
(/.f64 (neg.f64 (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) (neg.f64 h))) l)
(/.f64 (neg.f64 (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) h)) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (*.f64 M M) (/.f64 h l))) (*.f64 (neg.f64 d) d))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 (neg.f64 d) d))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 d) d) l))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))) l)
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 h) (*.f64 M M)))) (neg.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))
(/.f64 (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) (neg.f64 h)) (neg.f64 l))
(/.f64 (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) h) l)
(/.f64 (*.f64 (*.f64 M M) (/.f64 h l)) (*.f64 d d))
(/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 d d))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1 binary64)) (*.f64 (*.f64 d d) l))
(/.f64 (neg.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (*.f64 M M))) (neg.f64 (*.f64 (*.f64 (neg.f64 d) d) l)))
(/.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))) l)
(/.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (*.f64 (neg.f64 d) d) l))
(/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 d) d) l) (*.f64 (neg.f64 h) (*.f64 M M))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) l) (*.f64 (*.f64 M M) h)))
(neg.f64 (/.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (*.f64 d d) l)))
(*.f64 (*.f64 M M) h)
(*.f64 (*.f64 h M) M)
(*.f64 h (*.f64 M M))
(*.f64 M (*.f64 h M))
(*.f64 (neg.f64 (fabs.f64 M)) (neg.f64 (fabs.f64 M)))
(*.f64 (fabs.f64 (fabs.f64 M)) (fabs.f64 (fabs.f64 M)))
(*.f64 (neg.f64 (neg.f64 M)) (neg.f64 (neg.f64 M)))
(*.f64 (fabs.f64 M) (fabs.f64 M))
(*.f64 (pow.f64 M #s(literal 1 binary64)) (pow.f64 M #s(literal 1 binary64)))
(*.f64 (pow.f64 M #s(literal 1 binary64)) M)
(*.f64 (pow.f64 M (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 M (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 M) (neg.f64 M))
(*.f64 M M)
(pow.f64 (fabs.f64 M) #s(literal 2 binary64))
(pow.f64 (neg.f64 M) #s(literal 2 binary64))
(pow.f64 M #s(literal 2 binary64))
(/.f64 (pow.f64 M #s(literal 1 binary64)) (pow.f64 M #s(literal -1 binary64)))
(fabs.f64 (*.f64 M M))
(exp.f64 (*.f64 (log.f64 M) #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 l (fabs.f64 d)) (fabs.f64 d))
(*.f64 (*.f64 l (neg.f64 d)) (neg.f64 d))
(*.f64 (*.f64 l d) d)
(*.f64 (fabs.f64 d) (*.f64 (fabs.f64 d) l))
(*.f64 (neg.f64 d) (*.f64 (neg.f64 d) l))
(*.f64 (*.f64 d d) l)
(*.f64 l (*.f64 d d))
(*.f64 d (*.f64 d l))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 d))) (neg.f64 (neg.f64 (fabs.f64 d))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 d))) (neg.f64 (neg.f64 (neg.f64 d))))
(*.f64 (pow.f64 (fabs.f64 d) #s(literal 1 binary64)) (pow.f64 (fabs.f64 d) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 d) #s(literal 1 binary64)) (fabs.f64 d))
(*.f64 (pow.f64 (neg.f64 d) #s(literal 1 binary64)) (pow.f64 (neg.f64 d) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 d) #s(literal 1 binary64)) (neg.f64 d))
(*.f64 (neg.f64 (fabs.f64 d)) (neg.f64 (fabs.f64 d)))
(*.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 d)))
(*.f64 (pow.f64 d #s(literal 1 binary64)) (pow.f64 d #s(literal 1 binary64)))
(*.f64 (pow.f64 d #s(literal 1 binary64)) d)
(*.f64 (pow.f64 d (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 d (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (fabs.f64 d) (fabs.f64 d))
(*.f64 (neg.f64 d) (neg.f64 d))
(*.f64 d d)
(pow.f64 (neg.f64 (fabs.f64 d)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 d)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 d) #s(literal 2 binary64))
(pow.f64 (neg.f64 d) #s(literal 2 binary64))
(pow.f64 (*.f64 d d) #s(literal 1 binary64))
(pow.f64 d #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 d) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 d)))
(/.f64 (pow.f64 (neg.f64 d) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) d))
(/.f64 (pow.f64 d #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) d))
(neg.f64 (*.f64 (neg.f64 d) d))
(sqrt.f64 (*.f64 (*.f64 d d) (*.f64 d d)))
(fabs.f64 (*.f64 (neg.f64 d) d))
(fabs.f64 (*.f64 d d))
(exp.f64 (*.f64 (log.f64 (fabs.f64 d)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 d) #s(literal 2 binary64)))

eval211.0ms (3.5%)

Memory
39.6MiB live, 581.9MiB allocated; 82ms collecting garbage
Compiler

Compiled 47 202 to 8 194 computations (82.6% saved)

prune89.0ms (1.5%)

Memory
-32.5MiB live, 174.1MiB allocated; 60ms collecting garbage
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New1 346171 363
Fresh9211
Picked415
Done000
Total1 359201 379
Accuracy
94.8%
Counts
1 379 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) w0)
71.2%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 h (*.f64 #s(literal 1/4 binary64) (*.f64 D M))) (*.f64 (*.f64 d d) l)) D) M))) w0)
14.5%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))) D)) w0)
82.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M (+.f64 d d)) (*.f64 (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)) D) #s(literal 1 binary64))))
70.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) h) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))
64.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) h) (*.f64 d l)))))
72.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)) M) h) l))))
63.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l)))))
72.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 h (*.f64 #s(literal 1/4 binary64) (*.f64 D M))) (*.f64 (*.f64 d d) l)) M) D))))
88.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) h) l)))))
84.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 l d)) (/.f64 h d))))))
8.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
14.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))))
14.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 #s(literal -1/4 binary64) (*.f64 d d)))))))
17.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l))))))
2.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D #s(approx (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (*.f64 #s(literal -1 binary64) (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))))))
17.9%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))) (/.f64 (*.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%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 D (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l))))) d)))))
72.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
15.7%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (/.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)) h)) l))) d)))
Compiler

Compiled 1 220 to 963 computations (21.1% saved)

series204.0ms (3.4%)

Memory
29.4MiB live, 549.2MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105412109
Stop Event
iter-limit
Counts
61 → 222
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) h) l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) h) l))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) h) l)))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) h) l))
(*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/4 binary64))
(*.f64 (/.f64 D d) M)
(/.f64 D d)
D
d
M
#s(literal 1/4 binary64)
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) h) l)
(*.f64 (*.f64 (/.f64 D d) M) h)
h
l
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))) D)) w0)
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))) D))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))) D)
(sqrt.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))
(*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M))
(/.f64 h (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 d d) l)
(*.f64 d d)
(*.f64 M M)
#s(literal -1/4 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l)))))
(*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))
(*.f64 (*.f64 M M) h)
(sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))
(*.f64 (*.f64 (neg.f64 d) d) l)
(*.f64 (neg.f64 d) d)
(neg.f64 d)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)) M) h) l))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)) M) h) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)) M) h) l))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)) M) h) l)
(*.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)) M) h)
(*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)) M)
(*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D))
(*.f64 D M)
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)
(/.f64 #s(literal 1/4 binary64) (*.f64 d d))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M (+.f64 d d)) (*.f64 (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)) D) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 M (+.f64 d d)) (*.f64 (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)) D) #s(literal 1 binary64)))
(fma.f64 (/.f64 M (+.f64 d d)) (*.f64 (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)) D) #s(literal 1 binary64))
(/.f64 M (+.f64 d d))
(+.f64 d d)
(*.f64 (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)) D)
(*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l))
(*.f64 h M)
(/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)
(/.f64 D (*.f64 #s(literal -2 binary64) d))
(*.f64 #s(literal -2 binary64) d)
#s(literal -2 binary64)
Outputs
#s(approx (* w0 (sqrt (- 1 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1))) (*.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 (sqrt (- 1 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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)))))))))
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#s(approx (sqrt (- 1 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) h) l)))) #s(literal 1 binary64))
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#s(approx (* (/ D d) M) (/.f64 (*.f64 D M) d))
#s(approx M M)
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#s(approx (* (* (/ D d) M) h) (/.f64 (*.f64 D (*.f64 M h)) d))
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#s(approx (* (* M M) h) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))
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#s(approx (* w0 (sqrt (- 1 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (sqrt (* (* (/ h (* (* d d) l)) (* M M)) -1/4)) D) (*.f64 #s(literal -1 binary64) (*.f64 D (*.f64 M (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))))
#s(approx (sqrt (* (* (/ h (* (* d d) l)) (* M M)) -1/4)) (*.f64 #s(literal -1 binary64) (*.f64 M (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
#s(approx (* D (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) l)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 D (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h)))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) l))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (sqrt (* (* (* M M) h) 1/4)) (*.f64 #s(literal -1 binary64) (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h)))))
#s(approx (* w0 (sqrt (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1))) (*.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) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))))
#s(approx (* w0 (sqrt (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1))) (*.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 (*.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 (*.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 (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1))) (*.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 (*.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 (*.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 (*.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 (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1))) (*.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 (*.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 (*.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 (*.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 (*.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 (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1)) (*.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) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
#s(approx (sqrt (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1)) (*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 (sqrt.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 (*.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 (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1)) (*.f64 #s(literal -1 binary64) (*.f64 M (-.f64 (+.f64 (sqrt.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 (*.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 (*.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 (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1)) (*.f64 #s(literal -1 binary64) (*.f64 M (-.f64 (+.f64 (sqrt.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 (*.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 (*.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 (*.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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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) (/.f64 D d))
#s(approx D D)
#s(approx (* (sqrt (* (* (/ h (* (* d d) l)) (* M M)) -1/4)) D) (*.f64 D (sqrt.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 (* D (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) l)))) (/.f64 (*.f64 D (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
#s(approx (* (/ 1/4 (* d d)) D) (*.f64 #s(literal 1/4 binary64) (/.f64 D (pow.f64 d #s(literal 2 binary64)))))
#s(approx (/ (/ D (* -2 d)) l) (*.f64 #s(literal -1/2 binary64) (/.f64 D (*.f64 d l))))
#s(approx (/ D (* -2 d)) (*.f64 #s(literal -1/2 binary64) (/.f64 D d)))
#s(approx (* w0 (sqrt (- 1 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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)))))))))
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#s(approx h h)
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#s(approx (* D (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) 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)) h)))) (*.f64 l (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
#s(approx (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) l))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))) (*.f64 l (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
#s(approx (sqrt (* (* (neg d) d) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (* w0 (sqrt (- 1 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 (* (* (* (/ D d) M) 1/4) (/ (* (* (/ D d) M) 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 d d)
#s(approx (* (sqrt (* (* (/ h (* (* d d) l)) (* M M)) -1/4)) D) (/.f64 (*.f64 D (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))) d))
#s(approx (sqrt (* (* (/ h (* (* d d) l)) (* M M)) -1/4)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l))) d))
#s(approx (* d d) (pow.f64 d #s(literal 2 binary64)))
#s(approx (* D (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) l)))) (/.f64 (*.f64 D (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l)))))
#s(approx (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) l))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l)))))
#s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))
#s(approx (* (neg d) d) (*.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 2 binary64))))
#s(approx (neg d) (*.f64 #s(literal -1 binary64) d))
#s(approx (/ 1/4 (* d d)) (/.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 2 binary64))))
#s(approx (* w0 (sqrt (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1))) (/.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))
#s(approx (* w0 (sqrt (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 d #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)) h)) l)))) (*.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))
#s(approx (* w0 (sqrt (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1))) (/.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)) 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 (*.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 (*.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 (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1))) (/.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)) h)) l))) (*.f64 (pow.f64 d #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)) h)) l)))) (*.f64 (pow.f64 d #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)) 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 (*.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 (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1)) (/.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)) h)) l))) d))
#s(approx (sqrt (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1)) (/.f64 (+.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)) h)) l))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (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))
#s(approx (sqrt (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1)) (/.f64 (+.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)) 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 (*.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 (*.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 (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1)) (/.f64 (+.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)) 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 (*.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 (*.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 (*.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 (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1) (/.f64 (fma.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))) (pow.f64 d #s(literal 2 binary64))))
#s(approx (+ d d) (*.f64 #s(literal 2 binary64) d))
#s(approx (* -2 d) (*.f64 #s(literal -2 binary64) d))
#s(approx (* (sqrt (* (* (/ h (* (* d d) l)) (* M M)) -1/4)) D) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 D (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))) d)))
#s(approx (sqrt (* (* (/ h (* (* d d) l)) (* M M)) -1/4)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l))) d)))
#s(approx (* D (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) 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)) h)))) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))
#s(approx (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) l))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))
#s(approx (sqrt (* (* (neg d) d) l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l)))))
Calls

18 calls:

TimeVariablePoint
13.0ms
D
0
12.0ms
M
-inf
11.0ms
D
-inf
11.0ms
h
-inf
11.0ms
d
0

rewrite177.0ms (2.9%)

Memory
-53.2MiB live, 266.5MiB allocated; 107ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070650
0120646
1426646
21867642
04363633
Stop Event
iter-limit
node-limit
iter-limit
Counts
61 → 1 098
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) h) l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) h) l))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) h) l)))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) h) l))
(*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/4 binary64))
(*.f64 (/.f64 D d) M)
(/.f64 D d)
D
d
M
#s(literal 1/4 binary64)
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) h) l)
(*.f64 (*.f64 (/.f64 D d) M) h)
h
l
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))) D)) w0)
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))) D))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))) D)
(sqrt.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))
(*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M))
(/.f64 h (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 d d) l)
(*.f64 d d)
(*.f64 M M)
#s(literal -1/4 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l)))))
(*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))
(*.f64 (*.f64 M M) h)
(sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))
(*.f64 (*.f64 (neg.f64 d) d) l)
(*.f64 (neg.f64 d) d)
(neg.f64 d)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)) M) h) l))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)) M) h) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)) M) h) l))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)) M) h) l)
(*.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)) M) h)
(*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)) M)
(*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D))
(*.f64 D M)
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)
(/.f64 #s(literal 1/4 binary64) (*.f64 d d))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M (+.f64 d d)) (*.f64 (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)) D) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 M (+.f64 d d)) (*.f64 (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)) D) #s(literal 1 binary64)))
(fma.f64 (/.f64 M (+.f64 d d)) (*.f64 (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)) D) #s(literal 1 binary64))
(/.f64 M (+.f64 d d))
(+.f64 d d)
(*.f64 (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)) D)
(*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l))
(*.f64 h M)
(/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)
(/.f64 D (*.f64 #s(literal -2 binary64) d))
(*.f64 #s(literal -2 binary64) d)
#s(literal -2 binary64)
Outputs
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64))))
w0
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h))) (sqrt.f64 l))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64)))))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d)))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64))))
(pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 l) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 (neg.f64 h) (*.f64 M (/.f64 D d))))) (neg.f64 l))
(/.f64 (+.f64 l (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 h (*.f64 M (/.f64 D d))))) l)
(/.f64 (+.f64 l (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h))) l)
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)) (neg.f64 l))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 (neg.f64 h) (*.f64 M (/.f64 D d))))) (neg.f64 l))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 l)) (*.f64 (*.f64 (neg.f64 h) (*.f64 M (/.f64 D d))) (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))))) (neg.f64 l))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 M D) (*.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1/4 binary64)))) d)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 l)) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h))) (neg.f64 l))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 (neg.f64 h) (*.f64 M (/.f64 D d)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 l))) (*.f64 (neg.f64 l) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 h (*.f64 M (/.f64 D d)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) l)) (*.f64 l #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) l)) (*.f64 l #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 l))) (*.f64 (neg.f64 l) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 l) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 (neg.f64 h) (*.f64 M (/.f64 D d)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 l)))
(/.f64 (fma.f64 #s(literal 2 binary64) l (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 h (*.f64 M (/.f64 D d)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (fma.f64 #s(literal 2 binary64) l (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 l) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 l)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d)))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))) (*.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d)))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d)))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)))) (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)))))) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d)))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d)))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))) (*.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d)))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d)))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)))))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)))) (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d))))))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 (neg.f64 h) (*.f64 M (/.f64 D d)))) #s(literal 2 binary64) (*.f64 (neg.f64 l) #s(literal 2 binary64))) (*.f64 (neg.f64 l) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 h (*.f64 M (/.f64 D d)))) #s(literal 2 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 l #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)) #s(literal 2 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 l #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h) #s(literal 2 binary64) (*.f64 (neg.f64 l) #s(literal 2 binary64))) (*.f64 (neg.f64 l) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 l) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 (neg.f64 h) (*.f64 M (/.f64 D d)))))) (*.f64 #s(literal 2 binary64) (neg.f64 l)))
(/.f64 (fma.f64 #s(literal 2 binary64) l (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 h (*.f64 M (/.f64 D d)))))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (fma.f64 #s(literal 2 binary64) l (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 l) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h))) (*.f64 #s(literal 2 binary64) (neg.f64 l)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 l)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 (neg.f64 h) (*.f64 M (/.f64 D d)))))) (*.f64 #s(literal 2 binary64) (neg.f64 l)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 l)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 h) (*.f64 M (/.f64 D d))) (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d)))))) (*.f64 #s(literal 2 binary64) (neg.f64 l)))
(/.f64 (-.f64 (+.f64 d d) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 M D) (*.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1/4 binary64))))) (+.f64 d d))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 l)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)))) (*.f64 #s(literal 2 binary64) (neg.f64 l)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (neg.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h))) (neg.f64 l))
(/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)) l)
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) (neg.f64 d))) (neg.f64 d))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 d))) (neg.f64 d))
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(*.f64 (neg.f64 d) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 d))
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(/.f64 (-.f64 (*.f64 d d) (*.f64 d d)) (-.f64 (neg.f64 d) (neg.f64 d)))
(/.f64 (-.f64 (*.f64 d d) (*.f64 d d)) (+.f64 (neg.f64 d) d))
(/.f64 (+.f64 (pow.f64 (neg.f64 d) #s(literal 3 binary64)) (pow.f64 (neg.f64 d) #s(literal 3 binary64))) (fma.f64 d d (-.f64 (*.f64 d d) (*.f64 d d))))
(/.f64 (-.f64 (pow.f64 (neg.f64 d) #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 d d (fma.f64 d d (*.f64 (neg.f64 d) d))))
(neg.f64 (+.f64 d d))
(-.f64 (neg.f64 d) d)
(+.f64 (neg.f64 d) (neg.f64 d))
#s(literal -2 binary64)

eval181.0ms (3%)

Memory
41.8MiB live, 415.4MiB allocated; 40ms collecting garbage
Compiler

Compiled 51 622 to 8 520 computations (83.5% saved)

prune42.0ms (0.7%)

Memory
-43.3MiB live, 102.7MiB allocated; 9ms collecting garbage
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1 365181 383
Fresh11314
Picked505
Done011
Total1 381221 403
Accuracy
96.6%
Counts
1 403 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) w0)
82.8%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64))) w0)
71.2%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 h (*.f64 #s(literal 1/4 binary64) (*.f64 D M))) (*.f64 (*.f64 d d) l)) D) M))) w0)
0.0%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M)) (sqrt.f64 (*.f64 M #s(literal -1/4 binary64)))) D)) w0)
18.1%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))) D)) w0)
14.8%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))) D)) w0)
17.9%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* (sqrt (* (* (/ h (* (* d d) l)) (* M M)) -1/4)) D) (/.f64 (*.f64 D (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))) d))) w0)
2.8%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* (sqrt (* (* (/ h (* (* d d) l)) (* M M)) -1/4)) D) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 D (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))) d)))) w0)
47.0%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h))) (sqrt.f64 l)))
80.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) (/.f64 h l) #s(literal 1 binary64))))
86.8%
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)) l)))
84.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 l d)) (/.f64 h d))))))
12.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h #s(literal 1/4 binary64))) (fabs.f64 M)) D) (*.f64 (sqrt.f64 (neg.f64 l)) (fabs.f64 d)))))
9.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))))
1.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l)))))))))
8.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
10.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 #s(approx (sqrt (* (* (* M M) h) 1/4)) (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h)))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
0.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 #s(approx (sqrt (* (* (* M M) h) 1/4)) (*.f64 #s(literal -1 binary64) (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h))))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
14.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 d d) l)))))))
10.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* D (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) l)))) (/.f64 (*.f64 D (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h)))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
72.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
15.7%
(*.f64 w0 #s(approx (sqrt (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1)) (/.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)) h)) l))) d)))
Compiler

Compiled 1 506 to 1 175 computations (22% saved)

series228.0ms (3.8%)

Memory
39.7MiB live, 517.1MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0184322869
Stop Event
iter-limit
Counts
54 → 364
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)) l)))
w0
(sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)) l))
(/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)) l)
(-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h))
l
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d)))
#s(literal 1/4 binary64)
(*.f64 M (/.f64 D d))
M
(/.f64 D d)
D
d
h
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))) D)) w0)
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))) D))
(*.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))) D)
(*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))))
(fabs.f64 M)
(sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))
(*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))
(/.f64 h (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 d d) l)
(*.f64 d d)
#s(literal -1/4 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l)))))))
(*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l)))))
(sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))
(*.f64 (*.f64 M M) h)
(*.f64 M M)
#s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))
(*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l)))
(sqrt.f64 (*.f64 #s(literal -1 binary64) l))
(*.f64 #s(literal -1 binary64) l)
#s(literal -1 binary64)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M) M) #s(literal -1/4 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M) M)
(*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M)
(/.f64 (*.f64 D D) (*.f64 d d))
(*.f64 D D)
(/.f64 h l)
#s(literal 1 binary64)
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h))) (sqrt.f64 l)))
(/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h))) (sqrt.f64 l))
(sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)))
(sqrt.f64 l)
Outputs
#s(approx (* w0 (sqrt (/ (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h)) l))) (*.f64 w0 (sqrt.f64 (/.f64 (-.f64 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)) (pow.f64 d #s(literal 2 binary64))))) l))))
#s(approx w0 w0)
#s(approx (* (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) w0) (*.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 (* (sqrt (+ (* (* (* (* (/ (* D D) (* d d)) M) M) -1/4) (/ h l)) 1)) w0) (*.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 (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt l))) (/.f64 (*.f64 w0 (sqrt.f64 (-.f64 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)) (pow.f64 d #s(literal 2 binary64))))))) (sqrt.f64 l)))
#s(approx (* w0 (sqrt (/ (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) 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 (/ (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) 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 (/ (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) 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 (/ (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h)) l)) #s(literal 1 binary64))
#s(approx (sqrt (/ (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) 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 (/ (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) 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 (/ (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) 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 (/ (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) 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 (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h)) l)
#s(approx (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h)) (+.f64 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)) (pow.f64 d #s(literal 2 binary64))))))
#s(approx (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h) (*.f64 #s(literal 1/4 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)))))
#s(approx (* (* 1/4 (* M (/ D d))) (* M (/ 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 (* 1/4 (* M (/ D d))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D M) d)))
#s(approx (* M (/ D d)) (/.f64 (*.f64 D M) d))
#s(approx M M)
#s(approx (* (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) D) (*.f64 D (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
#s(approx (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (fabs M) (fabs.f64 M))
#s(approx (* D (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) l)))) (/.f64 (*.f64 D (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h)))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
#s(approx (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) l))) (/.f64 (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
#s(approx (sqrt (* (* (* M M) h) 1/4)) (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h))))
#s(approx (* (* (* M M) h) 1/4) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))
#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 D) (* d d)) M) M) -1/4) (*.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 D) (* d d)) M) M) (/.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 D) (* d d)) M) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) M) (pow.f64 d #s(literal 2 binary64))))
#s(approx (* w0 (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt 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)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64)))))))
#s(approx (* w0 (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt 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)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64)))) (*.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 (sqrt.f64 l) #s(literal 4 binary64)))))))))
#s(approx (* w0 (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt 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)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64)))) (*.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 (sqrt.f64 l) #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 2 binary64)) (*.f64 (pow.f64 h #s(literal 3 binary64)) w0))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 6 binary64)))))))))))
#s(approx (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt 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)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64)))))))
#s(approx (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt 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)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64)))) (*.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 (sqrt.f64 l) #s(literal 4 binary64)))))))))
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#s(approx (/ D d) (/.f64 D d))
#s(approx D D)
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#s(approx (* D D) (pow.f64 D #s(literal 2 binary64)))
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#s(approx h h)
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (+.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 (* (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) D) (/.f64 (*.f64 D (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l))))) d))
#s(approx (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) (/.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)))) d))
#s(approx (sqrt (* (/ h (* (* d d) l)) -1/4)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l))) d))
#s(approx (* d d) (pow.f64 d #s(literal 2 binary64)))
#s(approx (* D (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) l)))) (/.f64 (*.f64 D (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l)))))
#s(approx (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) l))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l)))))
#s(approx (* w0 (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt l))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))))) (*.f64 d (sqrt.f64 l))))
#s(approx (* w0 (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt l))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l w0)) (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))))) (sqrt.f64 l))) d))
#s(approx (* w0 (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt l))) (/.f64 (fma.f64 (pow.f64 d #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) w0)) (*.f64 (sqrt.f64 l) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 l w0) (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))))) (sqrt.f64 l))) d))
#s(approx (* w0 (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt l))) (/.f64 (fma.f64 (pow.f64 d #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 l w0) (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.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)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) w0) (*.f64 (sqrt.f64 l) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) w0)) (*.f64 (sqrt.f64 l) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) #s(literal 5 binary64)))))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))))) (sqrt.f64 l))) d))
#s(approx (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt l)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) (*.f64 d (sqrt.f64 l))))
#s(approx (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt l)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) l) (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) (sqrt.f64 l))) d))
#s(approx (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt l)) (/.f64 (fma.f64 (pow.f64 d #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))) (*.f64 (sqrt.f64 l) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 l (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))))))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) (sqrt.f64 l))) d))
#s(approx (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt l)) (/.f64 (fma.f64 (pow.f64 d #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 l (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.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)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 2 binary64)) (*.f64 (sqrt.f64 l) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 l #s(literal 3 binary64))) (*.f64 (sqrt.f64 l) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) #s(literal 5 binary64)))))))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) (sqrt.f64 l))) d))
#s(approx (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) d))
#s(approx (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) l) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))))))) d))
#s(approx (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.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)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 l (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))))))))) d))
#s(approx (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.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)) (fma.f64 #s(literal 1/2 binary64) (/.f64 l (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.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)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 l #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) #s(literal 5 binary64))))))))) d))
#s(approx (* w0 (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt 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)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64)))) (*.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 (sqrt.f64 l) #s(literal 4 binary64))))))))
#s(approx (* w0 (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt 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)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64)))) (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 (sqrt.f64 l) #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)) (pow.f64 (sqrt.f64 l) #s(literal 6 binary64)))))))))
#s(approx (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt 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)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64)))) (*.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 (sqrt.f64 l) #s(literal 4 binary64))))))))
#s(approx (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt 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)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64)))) (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 (sqrt.f64 l) #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)) (pow.f64 (sqrt.f64 l) #s(literal 6 binary64)))))))))
#s(approx (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (+.f64 (sqrt.f64 l) (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)) (sqrt.f64 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 (sqrt.f64 l) #s(literal 3 binary64))))))))
#s(approx (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (+.f64 (sqrt.f64 l) (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)) (sqrt.f64 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 (sqrt.f64 l) #s(literal 3 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 (sqrt.f64 l) #s(literal 5 binary64)))))))))
#s(approx (* (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) D) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 D (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l))))) d)))
#s(approx (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)))) d)))
#s(approx (sqrt (* (/ h (* (* d d) l)) -1/4)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l))) d)))
#s(approx (* D (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) 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)) h)))) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))
#s(approx (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) l))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))
#s(approx (sqrt (* (* (neg d) d) l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l)))))
Calls

18 calls:

TimeVariablePoint
14.0ms
h
inf
12.0ms
d
inf
11.0ms
d
0
10.0ms
D
inf
9.0ms
M
0

rewrite132.0ms (2.2%)

Memory
-10.6MiB live, 276.0MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067613
0109606
1360538
21561525
04392504
Stop Event
iter-limit
node-limit
iter-limit
Counts
54 → 1 279
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)) l)))
w0
(sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)) l))
(/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)) l)
(-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h))
l
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d)))
#s(literal 1/4 binary64)
(*.f64 M (/.f64 D d))
M
(/.f64 D d)
D
d
h
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))) D)) w0)
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))) D))
(*.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))) D)
(*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))))
(fabs.f64 M)
(sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))
(*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))
(/.f64 h (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 d d) l)
(*.f64 d d)
#s(literal -1/4 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l)))))))
(*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l)))))
(sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))
(*.f64 (*.f64 M M) h)
(*.f64 M M)
#s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))
(*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l)))
(sqrt.f64 (*.f64 #s(literal -1 binary64) l))
(*.f64 #s(literal -1 binary64) l)
#s(literal -1 binary64)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M) M) #s(literal -1/4 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M) M)
(*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M)
(/.f64 (*.f64 D D) (*.f64 d d))
(*.f64 D D)
(/.f64 h l)
#s(literal 1 binary64)
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h))) (sqrt.f64 l)))
(/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h))) (sqrt.f64 l))
(sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)))
(sqrt.f64 l)
Outputs
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) w0) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) w0))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 w0 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))))) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))) w0)) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) w0))) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (*.f64 w0 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)))) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))) w0) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) w0)) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) w0) (sqrt.f64 l))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) w0)))
w0
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal 1/4 binary64)) h l) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal 1/4 binary64)) h l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 l)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l) #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal 1/4 binary64)) h l) #s(literal -1 binary64))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal 1/4 binary64)) h))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (-.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal 1/4 binary64)) h)))) (sqrt.f64 (*.f64 l l)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) #s(literal 1 binary64)) (sqrt.f64 l))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)))) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal 1/4 binary64)) h l)) (sqrt.f64 l))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) (sqrt.f64 l))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 l)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))))
(neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) (neg.f64 (sqrt.f64 l))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))) (sqrt.f64 l)))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 l))))
(fabs.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) (neg.f64 (sqrt.f64 l))))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))) (sqrt.f64 l)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)))))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) (neg.f64 (sqrt.f64 l))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) (neg.f64 (sqrt.f64 l))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))) (sqrt.f64 l)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))) (sqrt.f64 l)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) l) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal 1/4 binary64)) h l) (/.f64 #s(literal -1 binary64) l))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l) (/.f64 #s(literal -1 binary64) l))
(pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (neg.f64 h)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) l)) (*.f64 l #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) l)) (*.f64 l #s(literal 2 binary64)))
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(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal 1/4 binary64)) h l) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal 1/4 binary64)) h l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 l)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l) #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal 1/4 binary64)) h l) #s(literal -1 binary64))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal 1/4 binary64)) h))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (-.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal 1/4 binary64)) h)))) (sqrt.f64 (*.f64 l l)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) #s(literal 1 binary64)) (sqrt.f64 l))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)))) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal 1/4 binary64)) h l)) (sqrt.f64 l))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) (sqrt.f64 l))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 l)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))))
(neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) (neg.f64 (sqrt.f64 l))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))) (sqrt.f64 l)))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 l))))
(fabs.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) (neg.f64 (sqrt.f64 l))))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))) (sqrt.f64 l)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)))))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l))))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) M) M) #s(literal -1/4 binary64)) h l)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 l)) (sqrt.f64 (sqrt.f64 l)))
(*.f64 (pow.f64 l (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 l (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 l))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 l))
(*.f64 (sqrt.f64 l) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 l) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 l #s(literal 1/2 binary64))
(sqrt.f64 l)
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 l))))
(fabs.f64 (neg.f64 (sqrt.f64 l)))
(fabs.f64 (sqrt.f64 l))
(exp.f64 (*.f64 (log.f64 l) #s(literal 1/2 binary64)))

eval369.0ms (6.1%)

Memory
26.3MiB live, 428.2MiB allocated; 157ms collecting garbage
Compiler

Compiled 62 245 to 9 088 computations (85.4% saved)

prune61.0ms (1%)

Memory
31.7MiB live, 119.3MiB allocated; 17ms collecting garbage
Pruning

26 alts after pruning (22 fresh and 4 done)

PrunedKeptTotal
New1 514181 532
Fresh12416
Picked235
Done011
Total1 528261 554
Accuracy
98.1%
Counts
1 554 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) w0)
82.8%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64))) w0)
71.2%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 h (*.f64 #s(literal 1/4 binary64) (*.f64 D M))) (*.f64 (*.f64 d d) l)) D) M))) w0)
22.1%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64))) (fabs.f64 d)) (*.f64 (fabs.f64 M) D))) w0)
20.2%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64))) (fabs.f64 d)) D) (fabs.f64 M))) w0)
12.9%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (fabs.f64 M) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) h)) (*.f64 (fabs.f64 d) (sqrt.f64 l)))) D)) w0)
18.1%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))) D)) w0)
1.5%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (fabs.f64 M) #s(approx (sqrt (* (/ h (* (* d d) l)) -1/4)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l))) d)))) D)) w0)
23.5%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (fabs.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64))) (fabs.f64 d)) M)) D)) w0)
23.6%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 #s(approx (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) (/.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)))) d)) D)) w0)
10.8%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 #s(approx (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) (*.f64 h (*.f64 (fabs.f64 M) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))))) D)) w0)
1.5%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 #s(approx (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)))) d))) D)) w0)
22.8%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) D) (/.f64 (*.f64 D (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l))))) d))) w0)
1.5%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) D) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 D (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l))))) d)))) w0)
46.3%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 M #s(literal 1/4 binary64)) (*.f64 (/.f64 D d) (*.f64 h (*.f64 (/.f64 D d) M)))))) (sqrt.f64 l)))
38.1%
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 l)))
86.8%
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)) l)))
84.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 l d)) (/.f64 h d))))))
15.7%
(*.f64 w0 #s(approx (sqrt (/ (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h)) l)) (/.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)) h)) l))) d)))
12.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h #s(literal 1/4 binary64))) (fabs.f64 M)) D) (*.f64 (sqrt.f64 (neg.f64 l)) (fabs.f64 d)))))
1.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d #s(approx (sqrt (* -1 l)) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))))))))
12.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 #s(approx (sqrt (* (* (* M M) h) 1/4)) (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h)))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))))
0.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 #s(approx (sqrt (* (* (* M M) h) 1/4)) (*.f64 #s(literal -1 binary64) (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h))))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))))
72.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
6.4%
#s(approx (* w0 (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt l))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l w0)) (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))))) (sqrt.f64 l))) d))
8.6%
#s(approx (* w0 (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt l))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))))) (*.f64 d (sqrt.f64 l))))
Compiler

Compiled 978 to 746 computations (23.7% saved)

regimes446.0ms (7.4%)

Memory
-32.9MiB live, 642.7MiB allocated; 145ms collecting garbage
Accuracy

Total -22.1b remaining (-87.1%)

Threshold costs -22.1b (-87.1%)

Counts
2 → 1
56 → 2
70 → 3
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 l)))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Call 2
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 l)))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 #s(approx (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) (/.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)))) d)) D)) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) D) (/.f64 (*.f64 D (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l))))) d))) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (fabs.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64))) (fabs.f64 d)) M)) D)) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64))) (fabs.f64 d)) D) (fabs.f64 M))) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64))) (fabs.f64 d)) (*.f64 (fabs.f64 M) D))) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))) D)) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (fabs.f64 M) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) h)) (*.f64 (fabs.f64 d) (sqrt.f64 l)))) D)) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 #s(approx (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)))) d))) D)) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (fabs.f64 M) #s(approx (sqrt (* (/ h (* (* d d) l)) -1/4)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l))) d)))) D)) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) D) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 D (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l))))) d)))) w0)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 #s(approx (sqrt (* (* (* M M) h) 1/4)) (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h)))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h #s(literal 1/4 binary64))) (fabs.f64 M)) D) (*.f64 (sqrt.f64 (neg.f64 l)) (fabs.f64 d)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 #s(approx (sqrt (* (* (* M M) h) 1/4)) (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h)))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))) D)) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))) D)) w0)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 #s(literal -1/4 binary64) (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 #s(approx (sqrt (* (* (* M M) h) 1/4)) (*.f64 #s(literal -1 binary64) (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h))))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M)) (sqrt.f64 (*.f64 M #s(literal -1/4 binary64)))) D)) w0)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 #s(approx (sqrt (* (* (* M M) h) 1/4)) (*.f64 #s(literal -1 binary64) (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h))))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l)))))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d #s(approx (sqrt (* -1 l)) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 h (*.f64 #s(literal 1/4 binary64) (*.f64 D M))) (*.f64 (*.f64 d d) l)) M) D))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 h (*.f64 #s(literal 1/4 binary64) (*.f64 D M))) (*.f64 (*.f64 d d) l)) D) M))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) h) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) l)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d))))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) (/.f64 h l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)) M) h) l))))
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) h)) l)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M)) (/.f64 h l))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 l d)) (/.f64 h d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) h) (*.f64 d l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d)))))
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)) l)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) h) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M)) #s(literal 4 binary64)) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))) (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M)) #s(literal 1 binary64))))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h))) (sqrt.f64 l)))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 M #s(literal 1/4 binary64)) (*.f64 (/.f64 D d) (*.f64 h (*.f64 (/.f64 D d) M)))))) (sqrt.f64 l)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D (+.f64 d d)) (*.f64 M (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))) (*.f64 D M)) (+.f64 d d)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M (+.f64 d d)) (*.f64 (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M (+.f64 d d)) D) (/.f64 (*.f64 (/.f64 D (+.f64 d d)) (*.f64 M h)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* (sqrt (* (* (/ h (* (* d d) l)) (* M M)) -1/4)) D) (/.f64 (*.f64 D (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))) d))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) h) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))) (/.f64 (*.f64 D (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l))))) d))))
Outputs
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 #s(approx (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) (/.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)))) d)) D)) w0)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Call 3
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 l)))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 #s(approx (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) (/.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)))) d)) D)) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) D) (/.f64 (*.f64 D (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l))))) d))) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (fabs.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64))) (fabs.f64 d)) M)) D)) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64))) (fabs.f64 d)) D) (fabs.f64 M))) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64))) (fabs.f64 d)) (*.f64 (fabs.f64 M) D))) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))) D)) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (fabs.f64 M) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) h)) (*.f64 (fabs.f64 d) (sqrt.f64 l)))) D)) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 #s(approx (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)))) d))) D)) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (fabs.f64 M) #s(approx (sqrt (* (/ h (* (* d d) l)) -1/4)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l))) d)))) D)) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) D) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 D (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l))))) d)))) w0)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 #s(approx (sqrt (* (* (* M M) h) 1/4)) (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h)))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h #s(literal 1/4 binary64))) (fabs.f64 M)) D) (*.f64 (sqrt.f64 (neg.f64 l)) (fabs.f64 d)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 #s(approx (sqrt (* (* (* M M) h) 1/4)) (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h)))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))) D)) w0)
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))) D)) w0)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 #s(literal -1/4 binary64) (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 #s(approx (sqrt (* (* (* M M) h) 1/4)) (*.f64 #s(literal -1 binary64) (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h))))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l))))))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M)) (sqrt.f64 (*.f64 M #s(literal -1/4 binary64)))) D)) w0)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 #s(approx (sqrt (* (* (* M M) h) 1/4)) (*.f64 #s(literal -1 binary64) (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h))))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (*.f64 #s(literal -1 binary64) l)))))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1/4 binary64))) #s(approx (sqrt (* (* (neg d) d) l)) (*.f64 d #s(approx (sqrt (* -1 l)) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M) M) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l d)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 h (*.f64 #s(literal 1/4 binary64) (*.f64 D M))) (*.f64 (*.f64 d d) l)) M) D))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 h (*.f64 #s(literal 1/4 binary64) (*.f64 D M))) (*.f64 (*.f64 d d) l)) D) M))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) h) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) l)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d))))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) (/.f64 h l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D)) M) h) l))))
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) h)) l)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M)) (/.f64 h l))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 l d)) (/.f64 h d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) h) (*.f64 d l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d)))))
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h)) l)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) h) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M)) #s(literal 4 binary64)) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))) (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M)) #s(literal 1 binary64))))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) (*.f64 M (/.f64 D d))) h))) (sqrt.f64 l)))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 M #s(literal 1/4 binary64)) (*.f64 (/.f64 D d) (*.f64 h (*.f64 (/.f64 D d) M)))))) (sqrt.f64 l)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D (+.f64 d d)) (*.f64 M (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))) (*.f64 D M)) (+.f64 d d)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M (+.f64 d d)) (*.f64 (*.f64 (*.f64 h M) (/.f64 (/.f64 D (*.f64 #s(literal -2 binary64) d)) l)) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M (+.f64 d d)) D) (/.f64 (*.f64 (/.f64 D (+.f64 d d)) (*.f64 M h)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* (sqrt (* (* (/ h (* (* d d) l)) (* M M)) -1/4)) D) (/.f64 (*.f64 D (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))) d))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) h) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))) (/.f64 (*.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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* (sqrt (* (* (/ h (* (* d d) l)) (* M M)) -1/4)) D) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 D (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))) d)))) w0)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D #s(approx (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (*.f64 #s(literal -1 binary64) (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 #s(approx (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) (*.f64 h (*.f64 (fabs.f64 M) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))))) D)) w0)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.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 (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (* D (/ (sqrt (* (* (* M M) h) 1/4)) (sqrt (* (* (neg d) d) l)))) (/.f64 (*.f64 D (*.f64 M (sqrt.f64 (*.f64 #s(literal 1/4 binary64) h)))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (/.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)) h)) l))) d)))
(*.f64 w0 #s(approx (sqrt (+ (* (/ M (+ d d)) (* (* (* h M) (/ (/ D (* -2 d)) l)) D)) 1)) (/.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)) h)) l))) d)))
(*.f64 w0 #s(approx (sqrt (/ (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h)) l)) (/.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)) h)) l))) d)))
(*.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 (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt l))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))))) (*.f64 d (sqrt.f64 l))))
(*.f64 w0 #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 (* w0 (/ (sqrt (- l (* (* (* 1/4 (* M (/ D d))) (* M (/ D d))) h))) (sqrt l))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l w0)) (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))))) (sqrt.f64 l))) d))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 #s(approx (* (fabs M) (sqrt (* (/ h (* (* d d) l)) -1/4))) (/.f64 (*.f64 (fabs.f64 M) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)))) d)) D)) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) h) l)))))
Calls

33 calls:

65.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
30.0ms
M
29.0ms
d
25.0ms
(*.f64 #s(literal 2 binary64) d)
21.0ms
w0
Results
AccuracySegmentsBranch
72.7%1(/.f64 h l)
72.7%1(*.f64 #s(literal 2 binary64) d)
72.7%1(*.f64 M D)
72.7%1M
72.7%1D
72.7%1h
72.7%1l
72.7%1d
72.7%1w0
72.7%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
72.7%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
72.7%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
72.7%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
72.7%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
72.7%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
92.4%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)))))
92.8%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
93.5%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
88.7%1(/.f64 h l)
88.7%1(*.f64 #s(literal 2 binary64) d)
88.7%1(*.f64 M D)
93.6%3(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
93.2%3(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
94.7%3(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
94.3%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
94.7%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
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)))))
88.7%1w0
88.7%1M
88.7%1D
88.7%1h
88.7%1l
88.7%1d
Compiler

Compiled 2 669 to 904 computations (66.1% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
2.4203137832804293e+20
2.8478346643203964e+21
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.857918809537225e+40
-0.011917286668392596
Compiler

Compiled 21 to 26 computations (-23.8% saved)

derivations63.0ms (1%)

Memory
-10.6MiB live, 81.0MiB allocated; 9ms collecting garbage
Stop Event
fuel
Compiler

Compiled 226 to 66 computations (70.8% saved)

preprocess140.0ms (2.3%)

Memory
11.6MiB live, 340.5MiB allocated; 30ms collecting garbage
Remove

(sort M D)

(negabs w0)

(abs d)

(abs D)

(abs M)

Compiler

Compiled 4 152 to 2 217 computations (46.6% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...