Henrywood and Agarwal, Equation (9a)

Time bar (total: 6.2s)

start0.0ms (0%)

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

analyze1.0s (16.3%)

Memory
-84.6MiB live, 861.3MiB allocated; 1.1s 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)

sample1.5s (24.2%)

Memory
37.0MiB live, 2 387.1MiB allocated; 403ms collecting garbage
Samples
769.0ms8 256×0valid
265.0ms2 764×0invalid
Precisions
Click to see histograms. Total time spent on operations: 642.0ms
ival-mult!: 235.0ms (36.6% of total)
ival-pow2: 166.0ms (25.9% of total)
ival-div!: 136.0ms (21.2% of total)
ival-sqrt: 76.0ms (11.8% of total)
ival-sub!: 26.0ms (4.1% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess60.0ms (1%)

Memory
-30.8MiB live, 78.3MiB allocated; 27ms 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
81.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Symmetry

(abs M)

(abs D)

(abs d)

(negabs w0)

(sort M D)

Compiler

Compiled 36 to 34 computations (5.6% saved)

series106.0ms (1.7%)

Memory
25.2MiB live, 213.7MiB allocated; 21ms 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
7.0ms
M
inf
7.0ms
d
0
6.0ms
D
-inf
6.0ms
M
0
6.0ms
h
inf

rewrite79.0ms (1.3%)

Memory
-8.8MiB live, 128.2MiB allocated; 9ms 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

eval93.0ms (1.5%)

Memory
3.1MiB live, 146.1MiB allocated; 13ms collecting garbage
Compiler

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

prune23.0ms (0.4%)

Memory
6.9MiB live, 53.6MiB allocated; 1ms collecting garbage
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New57620596
Fresh000
Picked101
Done000
Total57720597
Accuracy
94.4%
Counts
597 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.8%
(*.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)
84.9%
(*.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))))
86.5%
(*.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))))
62.1%
(*.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)))
64.8%
(*.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)))))
68.5%
(*.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)))))
77.1%
(*.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) d) (/.f64 h l)))))
81.0%
(*.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)))))
79.8%
(*.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)))))
54.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))))
76.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M))))))
57.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) (/.f64 h l)))))
62.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) l)))))
6.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 h (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))))))
19.0%
(*.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)))))))))
2.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 D (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))))
68.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
19.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) l))))) d))
1.3%
#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)))))))))
Compiler

Compiled 1 076 to 884 computations (17.8% saved)

series245.0ms (3.9%)

Memory
16.1MiB live, 299.3MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097811184
Stop Event
iter-limit
Counts
52 → 187
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 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) h)) l)))
(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 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) h)) l)
(-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) h))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) h)
(*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M)
(*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M)
(*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(*.f64 D D)
(/.f64 #s(literal 1/4 binary64) (*.f64 d d))
#s(literal 1/4 binary64)
(*.f64 d d)
(*.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)))))
(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 #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 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) h) (*.f64 d l))
(*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) h)
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d)
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
(*.f64 d 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))))
(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)))
(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 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d)))
(*.f64 h (*.f64 D M))
(*.f64 D M)
(*.f64 l (+.f64 d d))
(*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M))
(/.f64 #s(literal -1/2 binary64) d)
#s(literal -1/2 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 (/ (- l (* (* (* (* (* D D) (/ 1/4 (* d d))) M) M) 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 (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)))))))))
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#s(approx (/ M (+ d d)) (*.f64 #s(literal 1/2 binary64) (/.f64 M d)))
#s(approx M M)
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#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 (- l (* (* (* (* (* D D) (/ 1/4 (* d d))) M) M) h)) l)
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#s(approx (* M M) (pow.f64 M #s(literal 2 binary64)))
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#s(approx (* h (* D M)) (*.f64 D (*.f64 M h)))
#s(approx (* D M) (*.f64 D M))
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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 (/.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))))))))
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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 1/2 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)) 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))))))))))
#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 1/16 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)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 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)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 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)) 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 (* 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) (/ 1/4 (* d d))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
#s(approx (* D D) (pow.f64 D #s(literal 2 binary64)))
#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))))))))))
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#s(approx (+ d d) (*.f64 #s(literal 2 binary64) d))
#s(approx d d)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (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 (- l (* (* (* (* (* D D) (/ 1/4 (* d d))) M) M) h)) (/.f64 (-.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) l) (*.f64 #s(literal 1/4 binary64) (*.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 (* 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 (- 1 (/ (* (/ (* (* D D) (* (* M M) 1/4)) d) h) (* d 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 (/ -1/2 d) (/.f64 #s(literal -1/2 binary64) d))
Calls

18 calls:

TimeVariablePoint
34.0ms
d
0
30.0ms
d
-inf
22.0ms
h
0
17.0ms
D
0
11.0ms
w0
0

rewrite150.0ms (2.4%)

Memory
2.9MiB live, 237.0MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061517
0105517
1424472
22143472
04436472
Stop Event
iter-limit
node-limit
iter-limit
Counts
52 → 1 327
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 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) h)) l)))
(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 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) h)) l)
(-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) h))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) h)
(*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M)
(*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M)
(*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(*.f64 D D)
(/.f64 #s(literal 1/4 binary64) (*.f64 d d))
#s(literal 1/4 binary64)
(*.f64 d d)
(*.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)))))
(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 #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 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) h) (*.f64 d l))
(*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) h)
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d)
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
(*.f64 d 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))))
(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)))
(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 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d)))
(*.f64 h (*.f64 D M))
(*.f64 D M)
(*.f64 l (+.f64 d d))
(*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M))
(/.f64 #s(literal -1/2 binary64) d)
#s(literal -1/2 binary64)
Outputs
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64))))
w0
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) 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 (*.f64 D D) M) M) (*.f64 (+.f64 d d) (+.f64 d d))) h))) (sqrt.f64 l))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64)))))
(fabs.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d)))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d)))))) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d)))))) (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h D) (/.f64 M (*.f64 l (+.f64 d d)))) (*.f64 D (/.f64 M (+.f64 d d)))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64))))
(pow.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 D (/.f64 M (+.f64 d d))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) 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 (*.f64 D D) M) M) (*.f64 (+.f64 d d) (+.f64 d d)))) (neg.f64 h)) (neg.f64 l) (*.f64 l l)) (*.f64 l l))
(/.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (+.f64 d d) (+.f64 d d)))) (neg.f64 h)) l (*.f64 (neg.f64 l) l)) (*.f64 (neg.f64 l) l))
(/.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) 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 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (+.f64 d d) (+.f64 d d)))) h) (neg.f64 l) (*.f64 l (neg.f64 l))) (*.f64 l (neg.f64 l)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (+.f64 d d) (+.f64 d d)))) h) l (*.f64 l l)) (*.f64 l l))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.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 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) (neg.f64 l) (*.f64 (neg.f64 d) l)) (*.f64 (neg.f64 d) l))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) l (*.f64 l d)) (*.f64 l d))
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(/.f64 (neg.f64 (*.f64 (neg.f64 h) (*.f64 (*.f64 D M) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 d) l)))
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (*.f64 (neg.f64 M) D))) (neg.f64 (*.f64 (neg.f64 l) (*.f64 #s(literal -2 binary64) d))))
(/.f64 (neg.f64 (*.f64 h (*.f64 (*.f64 D M) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 d) l))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 D M) h) l))) (+.f64 d d))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) D) h))) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) l))))
(/.f64 (*.f64 (*.f64 (*.f64 D M) h) #s(literal 1 binary64)) (*.f64 l (+.f64 d d)))
(/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) d)
(/.f64 (*.f64 (/.f64 h l) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (+.f64 d d))
(/.f64 (*.f64 (neg.f64 h) (*.f64 D (/.f64 M (+.f64 d d)))) (neg.f64 l))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) h) l) #s(literal 2 binary64)) d)
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) h) l) d) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 h) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) (*.f64 (neg.f64 d) l))
(/.f64 (*.f64 (neg.f64 h) (*.f64 (neg.f64 M) D)) (*.f64 (neg.f64 l) (*.f64 #s(literal -2 binary64) d)))
(/.f64 (*.f64 h (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) (*.f64 l d))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 D M) h) l)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) D) h)) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) l)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 #s(literal -2 binary64) d))) l)
(/.f64 (/.f64 (*.f64 (*.f64 D M) h) l) (+.f64 d d))
(/.f64 (*.f64 (*.f64 (neg.f64 M) D) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l))
(/.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 #s(literal -2 binary64) d)) (neg.f64 l))
(/.f64 (*.f64 (*.f64 D M) h) (*.f64 l (+.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 d d) (/.f64 (*.f64 (*.f64 D M) h) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) l) (*.f64 (*.f64 (neg.f64 M) D) h)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 h (*.f64 D (/.f64 M (+.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (+.f64 d d)) (*.f64 (*.f64 D M) h)))
(/.f64 (*.f64 h (*.f64 D (/.f64 M (+.f64 d d)))) l)
(neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) D) h) (*.f64 l (+.f64 d d))))
(neg.f64 (/.f64 (*.f64 (*.f64 D M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)))
(*.f64 (*.f64 h D) M)
(*.f64 (*.f64 D M) h)
(*.f64 (*.f64 h M) D)
(*.f64 h (*.f64 D M))
(*.f64 D (*.f64 h M))
(*.f64 M (*.f64 h D))
(*.f64 D M)
(*.f64 M D)
(*.f64 (*.f64 l #s(literal 2 binary64)) d)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 l d) (*.f64 l d))) (*.f64 l d))
(*.f64 (*.f64 l d) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 l d))
(*.f64 l (+.f64 d d))
(*.f64 (+.f64 d d) l)
(*.f64 d (*.f64 #s(literal 2 binary64) l))
(*.f64 d (+.f64 l l))
(/.f64 (-.f64 (*.f64 (*.f64 l d) (*.f64 l d)) (*.f64 (*.f64 l d) (*.f64 l d))) (-.f64 (*.f64 l d) (*.f64 l d)))
(/.f64 (+.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) (pow.f64 (*.f64 l d) #s(literal 3 binary64))) (fma.f64 (*.f64 l d) (*.f64 l d) (-.f64 (*.f64 (*.f64 l d) (*.f64 l d)) (*.f64 (*.f64 l d) (*.f64 l d)))))
(fma.f64 (*.f64 #s(literal 1 binary64) d) l (*.f64 l d))
(fma.f64 (*.f64 #s(literal 1 binary64) l) d (*.f64 l d))
(fma.f64 (*.f64 l d) #s(literal 1 binary64) (*.f64 l d))
(fma.f64 #s(literal 1 binary64) (*.f64 l d) (*.f64 l d))
(fma.f64 l d (*.f64 l d))
(fma.f64 d l (*.f64 l d))
(-.f64 (*.f64 l d) (*.f64 (neg.f64 d) l))
(+.f64 (*.f64 l d) (*.f64 l d))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) D) M)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 D M)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 D M) d))
(*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) d))
(*.f64 D (*.f64 M (/.f64 #s(literal -1/2 binary64) d)))
(*.f64 M (*.f64 (/.f64 #s(literal -1/2 binary64) d) D))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D M))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)))) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D M)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M))) (neg.f64 d))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (neg.f64 d))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 D M))))
(*.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) d))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) d))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (neg.f64 d))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 d))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 d)))
(/.f64 #s(literal -1/2 binary64) d)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 d #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) d))
#s(literal -1/2 binary64)

eval206.0ms (3.3%)

Memory
-4.7MiB live, 463.2MiB allocated; 87ms collecting garbage
Compiler

Compiled 45 947 to 7 905 computations (82.8% saved)

prune46.0ms (0.7%)

Memory
-9.0MiB live, 129.2MiB allocated; 13ms collecting garbage
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1 356161 372
Fresh10515
Picked415
Done000
Total1 370221 392
Accuracy
95.3%
Counts
1 392 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (*.f64 D D) h)) (*.f64 d (*.f64 l d))))) w0)
35.9%
(*.f64 w0 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (*.f64 l (+.f64 d d)) (*.f64 (*.f64 (*.f64 (*.f64 D M) h) (*.f64 (/.f64 #s(literal -1/2 binary64) d) D)) M))) (sqrt.f64 (*.f64 l (+.f64 d d)))))
58.1%
(*.f64 w0 (/.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 l d) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) d) (*.f64 D D)) h)) l)) (sqrt.f64 d)))
31.5%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) h) l)) (sqrt.f64 (neg.f64 l))))
30.0%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 l d) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) d) (*.f64 D D)) h))) (sqrt.f64 (*.f64 l d))))
29.9%
(*.f64 w0 (*.f64 (sqrt.f64 (-.f64 (*.f64 l d) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) d) (*.f64 D D)) h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d)))))
89.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (*.f64 D (/.f64 M (+.f64 d d)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D) l) #s(literal 1 binary64))))
74.1%
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D) D) (*.f64 (*.f64 M M) h))) l)))
63.2%
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) h) M)) l)))
78.8%
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 D (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D) M)) M) h)) l)))
68.5%
(*.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)))))
80.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) D) d)) h) (*.f64 d l)))))
81.0%
(*.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)))))
79.8%
(*.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)))))
54.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))))
57.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) (/.f64 h l)))))
68.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
19.0%
(*.f64 w0 #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)))))))
1.3%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 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))))))))
2.5%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 #s(literal -1 binary64) (*.f64 D (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))))
19.7%
#s(approx (* w0 (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 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))
1.3%
#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))))))))
Compiler

Compiled 1 208 to 943 computations (21.9% saved)

series315.0ms (5.1%)

Memory
19.3MiB live, 635.7MiB allocated; 178ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0180122682
Stop Event
iter-limit
Counts
65 → 343
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (*.f64 D (/.f64 M (+.f64 d d)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D) l) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 h (*.f64 D (/.f64 M (+.f64 d d)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D) l) #s(literal 1 binary64)))
(fma.f64 (*.f64 h (*.f64 D (/.f64 M (+.f64 d d)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D) l) #s(literal 1 binary64))
(*.f64 h (*.f64 D (/.f64 M (+.f64 d d))))
h
(*.f64 D (/.f64 M (+.f64 d d)))
D
(/.f64 M (+.f64 d d))
M
(+.f64 d d)
d
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D) l)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal -1/2 binary64) d) M)
(/.f64 #s(literal -1/2 binary64) d)
#s(literal -1/2 binary64)
l
#s(literal 1 binary64)
(*.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)))))
(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 #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 (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) h) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) l))
(*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) h)
(*.f64 (*.f64 (*.f64 D M) D) M)
(*.f64 (*.f64 D M) D)
(*.f64 D M)
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) l)
(*.f64 #s(literal 4 binary64) (*.f64 d d))
#s(literal 4 binary64)
(*.f64 d d)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d)))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))
(*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d)))
(*.f64 (/.f64 h l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 h l)
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
#s(literal 1/4 binary64)
(/.f64 (*.f64 D D) (*.f64 d d))
(*.f64 D D)
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) h) l)) (sqrt.f64 (neg.f64 l))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) h) l)) (sqrt.f64 (neg.f64 l)))
(sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) h) l))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) h) l)
(*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) h)
(*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M)
(*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(*.f64 M (*.f64 D D))
(/.f64 #s(literal 1/4 binary64) (*.f64 d d))
(sqrt.f64 (neg.f64 l))
(neg.f64 l)
(*.f64 w0 #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 (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 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)))))
(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 -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))
#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 (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 (+ (* (* h (* D (/ M (+ d d)))) (/ (* (* (/ -1/2 d) M) D) 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 (/ (* (* (* (* D M) D) M) h) (* (* 4 (* d d)) 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)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l)))) (/.f64 (*.f64 w0 (sqrt.f64 (-.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)) (pow.f64 d #s(literal 2 binary64)))) l))) (sqrt.f64 (neg.f64 l))))
#s(approx (* w0 (sqrt (+ (* (* h (* D (/ M (+ d d)))) (/ (* (* (/ -1/2 d) M) D) 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)))))
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#s(approx (sqrt (+ (* (* h (* D (/ M (+ d d)))) (/ (* (* (/ -1/2 d) M) D) 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 (+ (* (* h (* D (/ M (+ d d)))) (/ (* (* (/ -1/2 d) M) D) 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 d)) (/.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
#s(approx (* D D) (pow.f64 D #s(literal 2 binary64)))
#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l)))) (+.f64 w0 (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.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 (sqrt.f64 (neg.f64 l)) #s(literal 4 binary64)))) (*.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)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 2 binary64)))))))))
#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg 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)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 2 binary64)))) (*.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 (sqrt.f64 (neg.f64 l)) #s(literal 4 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 (sqrt.f64 (neg.f64 l)) #s(literal 6 binary64)))))))))))
#s(approx (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.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 (sqrt.f64 (neg.f64 l)) #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 2 binary64)))))))))
#s(approx (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg 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)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 2 binary64)))) (*.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 (sqrt.f64 (neg.f64 l)) #s(literal 4 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 (sqrt.f64 (neg.f64 l)) #s(literal 6 binary64)))))))))))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (+.f64 (sqrt.f64 (neg.f64 l)) (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.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 (sqrt.f64 (neg.f64 l)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (neg.f64 l)))))))))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (+.f64 (sqrt.f64 (neg.f64 l)) (*.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)) (sqrt.f64 (neg.f64 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 (sqrt.f64 (neg.f64 l)) #s(literal 3 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 (sqrt.f64 (neg.f64 l)) #s(literal 5 binary64)))))))))))
#s(approx (* D (sqrt (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (*.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 (* w0 (sqrt (+ (* (* h (* D (/ M (+ d d)))) (/ (* (* (/ -1/2 d) M) D) 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 (+ (* (* h (* D (/ M (+ d d)))) (/ (* (* (/ -1/2 d) M) D) 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 (+ (* (* h (* D (/ M (+ d d)))) (/ (* (* (/ -1/2 d) M) D) 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 (+ (* (* h (* D (/ M (+ d d)))) (/ (* (* (/ -1/2 d) M) D) 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 (+ (* (* h (* D (/ M (+ d d)))) (/ (* (* (/ -1/2 d) M) D) 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 (+ (* (* h (* D (/ M (+ d d)))) (/ (* (* (/ -1/2 d) M) D) 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 (+ (* (* h (* D (/ M (+ d d)))) (/ (* (* (/ -1/2 d) M) D) 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 (+ (* (* h (* D (/ M (+ d d)))) (/ (* (* (/ -1/2 d) M) D) 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 (/ (* (* (* (* D M) D) M) h) (* (* 4 (* d d)) 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 M) D) M) h) (* (* 4 (* d d)) 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 (/ (* (* (* (* D M) D) M) h) (* (* 4 (* d d)) 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 (/ (* (* (* (* D M) D) M) h) (* (* 4 (* d d)) 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 (/ (* (* (* (* D M) D) M) h) (* (* 4 (* d d)) 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 (/ (* (* (* (* D M) D) M) h) (* (* 4 (* d d)) 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 (/ (* (* (* (* D M) D) M) h) (* (* 4 (* d d)) 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 (/ (* (* (* (* D M) D) M) h) (* (* 4 (* d d)) 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))))))))
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#s(approx (sqrt (- 1 (/ (* (* (* (* D M) D) M) h) (* (* 4 (* d d)) 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)))))))))
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#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l)))) (*.f64 #s(literal -1 binary64) (*.f64 D (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 l w0) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))) (/.f64 (*.f64 w0 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 l)))))))
#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l)))) (*.f64 #s(literal -1 binary64) (*.f64 D (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 l w0) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (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 (pow.f64 D #s(literal 4 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64))))) (/.f64 (*.f64 w0 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 l))))))))
#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l)))) (*.f64 #s(literal -1 binary64) (*.f64 D (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 l w0) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (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 (pow.f64 D #s(literal 4 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) w0) (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) #s(literal 5 binary64))))) (/.f64 (*.f64 w0 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 l)))))))))
#s(approx (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l))) (*.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) (pow.f64 d #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 l)))))
#s(approx (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l))) (*.f64 #s(literal -1 binary64) (*.f64 D (fma.f64 #s(literal -1/2 binary64) (/.f64 l (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 l)))))))
#s(approx (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l))) (*.f64 #s(literal -1 binary64) (*.f64 D (fma.f64 #s(literal -1/2 binary64) (/.f64 l (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 2 binary64)) (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 l))))))))
#s(approx (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l))) (*.f64 #s(literal -1 binary64) (*.f64 D (fma.f64 #s(literal -1/2 binary64) (/.f64 l (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 2 binary64)) (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) #s(literal 5 binary64))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 l)))))))))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 D (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 D (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 l (*.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) (pow.f64 d #s(literal 2 binary64))))))))))))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 D (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 l (*.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) (pow.f64 d #s(literal 2 binary64))))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 2 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) (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64))))))))))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 D (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 l (*.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) (pow.f64 d #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 2 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) (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 l #s(literal 3 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) (pow.f64 d #s(literal 2 binary64))))) #s(literal 5 binary64)))))))))))
#s(approx (* w0 (sqrt (+ (* (* h (* D (/ M (+ d d)))) (/ (* (* (/ -1/2 d) M) D) l)) 1))) (+.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 (+ (* (* h (* D (/ M (+ d d)))) (/ (* (* (/ -1/2 d) M) D) l)) 1))) (+.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 (+ (* (* h (* D (/ M (+ d d)))) (/ (* (* (/ -1/2 d) M) D) l)) 1)) (+.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 (+ (* (* h (* D (/ M (+ d d)))) (/ (* (* (/ -1/2 d) M) D) l)) 1)) (+.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 h)
#s(approx (/ h l) (/.f64 h l))
#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l)))) (+.f64 w0 (*.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)) (*.f64 h w0))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 4 binary64)))) (*.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)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 2 binary64)))))))))
#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg 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)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 2 binary64)))) (*.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 (sqrt.f64 (neg.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 h w0))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 6 binary64)))))))))))
#s(approx (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l))) (+.f64 #s(literal 1 binary64) (*.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)) h)) (*.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 4 binary64)))) (*.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)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 2 binary64)))))))))
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#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (+.f64 (sqrt.f64 (neg.f64 l)) (*.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)) (sqrt.f64 (neg.f64 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 (sqrt.f64 (neg.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)) h)) (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 5 binary64)))))))))))
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#s(approx (sqrt (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l))) d))
#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l)))) (+.f64 w0 (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 (neg.f64 l)) #s(literal 4 binary64)))) (*.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 (neg.f64 l)) #s(literal 2 binary64))))))))
#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l)))) (+.f64 w0 (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 (neg.f64 l)) #s(literal 4 binary64)))) (fma.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 (neg.f64 l)) #s(literal 6 binary64)))) (*.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 (neg.f64 l)) #s(literal 2 binary64)))))))))
#s(approx (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l))) (+.f64 #s(literal 1 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 (neg.f64 l)) #s(literal 4 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 (neg.f64 l)) #s(literal 2 binary64))))))))
#s(approx (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l))) (+.f64 #s(literal 1 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 (neg.f64 l)) #s(literal 4 binary64)))) (fma.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 (neg.f64 l)) #s(literal 6 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 (neg.f64 l)) #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (+.f64 (sqrt.f64 (neg.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 (neg.f64 l)) #s(literal 3 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)) (sqrt.f64 (neg.f64 l))))))))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (+.f64 (sqrt.f64 (neg.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 (neg.f64 l)) #s(literal 3 binary64)))) (fma.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 (neg.f64 l)) #s(literal 5 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)) (sqrt.f64 (neg.f64 l)))))))))
#s(approx (* D (sqrt (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (*.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 (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))) (*.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)))
Calls

18 calls:

TimeVariablePoint
18.0ms
h
-inf
18.0ms
M
0
13.0ms
d
0
13.0ms
M
-inf
11.0ms
D
-inf

rewrite182.0ms (2.9%)

Memory
36.0MiB live, 341.2MiB allocated; 83ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076636
0129634
1468594
22194566
04088562
Stop Event
iter-limit
node-limit
iter-limit
Counts
65 → 1 144
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (*.f64 D (/.f64 M (+.f64 d d)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D) l) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 h (*.f64 D (/.f64 M (+.f64 d d)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D) l) #s(literal 1 binary64)))
(fma.f64 (*.f64 h (*.f64 D (/.f64 M (+.f64 d d)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D) l) #s(literal 1 binary64))
(*.f64 h (*.f64 D (/.f64 M (+.f64 d d))))
h
(*.f64 D (/.f64 M (+.f64 d d)))
D
(/.f64 M (+.f64 d d))
M
(+.f64 d d)
d
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D) l)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal -1/2 binary64) d) M)
(/.f64 #s(literal -1/2 binary64) d)
#s(literal -1/2 binary64)
l
#s(literal 1 binary64)
(*.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)))))
(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 #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 (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) h) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) l))
(*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) h)
(*.f64 (*.f64 (*.f64 D M) D) M)
(*.f64 (*.f64 D M) D)
(*.f64 D M)
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) l)
(*.f64 #s(literal 4 binary64) (*.f64 d d))
#s(literal 4 binary64)
(*.f64 d d)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d)))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))
(*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d)))
(*.f64 (/.f64 h l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 h l)
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
#s(literal 1/4 binary64)
(/.f64 (*.f64 D D) (*.f64 d d))
(*.f64 D D)
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) h) l)) (sqrt.f64 (neg.f64 l))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) h) l)) (sqrt.f64 (neg.f64 l)))
(sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) h) l))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) h) l)
(*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) h)
(*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M)
(*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(*.f64 M (*.f64 D D))
(/.f64 #s(literal 1/4 binary64) (*.f64 d d))
(sqrt.f64 (neg.f64 l))
(neg.f64 l)
(*.f64 w0 #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 (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 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)))))
(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 -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))
#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 (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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64))))
w0
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) l (*.f64 (*.f64 (*.f64 (/.f64 D (+.f64 d d)) h) M) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D)))) (sqrt.f64 l))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64)))))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64))))
(pow.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l)) h) (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l))) (*.f64 (*.f64 (/.f64 D (+.f64 d d)) h) M)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l))) (*.f64 (*.f64 (/.f64 D (+.f64 d d)) h) M)) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l))) (*.f64 (*.f64 (/.f64 D (+.f64 d d)) h) M)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (*.f64 d l))) (*.f64 (*.f64 (/.f64 D (+.f64 d d)) h) M))))))
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(/.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 (*.f64 M h) M) #s(literal 1 binary64)) (*.f64 (*.f64 d d) l))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 M h) M) l)) (*.f64 (neg.f64 d) d))
(/.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 (*.f64 M h) M) l) (*.f64 d d))
(/.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 h) M) (*.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 h) M)))
(neg.f64 (/.f64 (*.f64 (*.f64 M h) M) (*.f64 (*.f64 (neg.f64 d) d) l)))
(neg.f64 (/.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (*.f64 d d) l)))
(*.f64 (*.f64 h (fabs.f64 M)) (fabs.f64 M))
(*.f64 (*.f64 h (neg.f64 M)) (neg.f64 M))
(*.f64 (fabs.f64 M) (*.f64 (fabs.f64 M) h))
(*.f64 (neg.f64 M) (*.f64 (neg.f64 M) h))
(*.f64 (*.f64 M h) M)
(*.f64 (*.f64 M M) h)
(*.f64 M (*.f64 M h))
(*.f64 h (*.f64 M M))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 M))) (neg.f64 (neg.f64 (fabs.f64 M))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 M))) (neg.f64 (neg.f64 (neg.f64 M))))
(*.f64 (pow.f64 (fabs.f64 M) #s(literal 1 binary64)) (pow.f64 (fabs.f64 M) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 M) #s(literal 1 binary64)) (fabs.f64 M))
(*.f64 (pow.f64 (neg.f64 M) #s(literal 1 binary64)) (pow.f64 (neg.f64 M) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 M) #s(literal 1 binary64)) (neg.f64 M))
(*.f64 (neg.f64 (fabs.f64 M)) (neg.f64 (fabs.f64 M)))
(*.f64 (neg.f64 (neg.f64 M)) (neg.f64 (neg.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 (fabs.f64 M) (fabs.f64 M))
(*.f64 (neg.f64 M) (neg.f64 M))
(*.f64 M M)
(pow.f64 (neg.f64 (fabs.f64 M)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 M)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 M) #s(literal 2 binary64))
(pow.f64 (neg.f64 M) #s(literal 2 binary64))
(pow.f64 (*.f64 M M) #s(literal 1 binary64))
(pow.f64 M #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 M) #s(literal 1 binary64)) (pow.f64 (fabs.f64 M) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 M) #s(literal 1 binary64)) (pow.f64 (neg.f64 M) #s(literal -1 binary64)))
(/.f64 (pow.f64 M #s(literal 1 binary64)) (pow.f64 M #s(literal -1 binary64)))
(neg.f64 (*.f64 M (neg.f64 M)))
(neg.f64 (*.f64 (neg.f64 M) M))
(sqrt.f64 (*.f64 (*.f64 M M) (*.f64 M M)))
(fabs.f64 (*.f64 M (neg.f64 M)))
(fabs.f64 (*.f64 (neg.f64 M) M))
(fabs.f64 (neg.f64 (*.f64 M M)))
(fabs.f64 (*.f64 M M))
(exp.f64 (*.f64 (log.f64 (fabs.f64 M)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 M)) #s(literal 2 binary64)))
(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)))

eval217.0ms (3.5%)

Memory
30.7MiB live, 393.9MiB allocated; 105ms collecting garbage
Compiler

Compiled 58 657 to 8 655 computations (85.2% saved)

prune100.0ms (1.6%)

Memory
-8.7MiB live, 89.0MiB allocated; 100ms collecting garbage
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1 484161 500
Fresh12416
Picked415
Done011
Total1 500221 522
Accuracy
98.1%
Counts
1 522 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.7%
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D) (*.f64 M D)) M) h) l)) w0) (sqrt.f64 (neg.f64 l)))
28.2%
(*.f64 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 (*.f64 (fabs.f64 (/.f64 M d)) (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)))) D)) w0)
46.1%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 M M)) D) D))) (fabs.f64 d)))
33.8%
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (sqrt.f64 (neg.f64 l))))
86.3%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) (/.f64 D d)) (/.f64 D d) #s(literal 1 binary64))))
78.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) D) (/.f64 D (*.f64 d d)) #s(literal 1 binary64))))
89.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (*.f64 D (/.f64 M (+.f64 d d)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D) l) #s(literal 1 binary64))))
63.2%
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) h) M)) l)))
70.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) h) (*.f64 (*.f64 l (*.f64 #s(literal 4 binary64) d)) d)))))
80.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) D) d)) h) (*.f64 d l)))))
81.0%
(*.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)))))
72.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) l))))))
57.6%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 (*.f64 (*.f64 D D) M) (*.f64 h (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 d d) l))))))))
68.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
28.0%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (/.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) M) #s(literal -1/4 binary64)) l)) (fabs.f64 d)))))
7.7%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 M M)) #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
9.0%
(*.f64 w0 #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) l)) (sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))))))
18.3%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (sqrt.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))))))
20.9%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D #s(approx (sqrt (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))) (*.f64 M (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))))
2.3%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D #s(approx (sqrt (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))) (*.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))))))))))
23.7%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) #s(approx (* D (sqrt (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (/.f64 (*.f64 D (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))) d))))
1.3%
#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))))))))
Compiler

Compiled 1 405 to 1 066 computations (24.1% saved)

series238.0ms (3.8%)

Memory
50.0MiB live, 410.0MiB allocated; 71ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177822278
Stop Event
iter-limit
Counts
57 → 340
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) (/.f64 D d)) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) (/.f64 D d)) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) (/.f64 D d)) (/.f64 D d) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) (/.f64 D d))
(*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64))
(/.f64 (*.f64 (*.f64 M h) M) l)
(*.f64 (*.f64 M h) M)
(*.f64 M h)
M
h
l
#s(literal -1/4 binary64)
(/.f64 D d)
D
d
#s(literal 1 binary64)
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (sqrt.f64 (neg.f64 l))))
(/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (sqrt.f64 (neg.f64 l)))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))))
(*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))
#s(literal -1 binary64)
(*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))
(sqrt.f64 (/.f64 #s(literal -1 binary64) l))
(/.f64 #s(literal -1 binary64) l)
(sqrt.f64 (neg.f64 l))
(neg.f64 l)
(*.f64 w0 #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) l)) (sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))))))
#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) l)) (sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))))))
(*.f64 D (*.f64 (sqrt.f64 (/.f64 #s(literal -1/4 binary64) l)) (sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1/4 binary64) l)) (sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))))
(sqrt.f64 (/.f64 #s(literal -1/4 binary64) l))
(/.f64 #s(literal -1/4 binary64) l)
(sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))
(*.f64 M M)
(/.f64 h (*.f64 d d))
(*.f64 d d)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) l))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) l)))))
(-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) l))))
(*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) l)))
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) l))
(*.f64 (*.f64 (*.f64 M D) M) D)
(*.f64 (*.f64 M D) M)
(*.f64 M D)
(*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) l)
(*.f64 (*.f64 d d) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.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 h l)
Outputs
#s(approx (* w0 (sqrt (+ (* (* (* (/ (* (* M h) M) l) -1/4) (/ D d)) (/ D 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 w0)
#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l)))) (/.f64 (*.f64 w0 (sqrt.f64 (-.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)) (pow.f64 d #s(literal 2 binary64)))) l))) (sqrt.f64 (neg.f64 l))))
#s(approx (* w0 (sqrt (- 1 (* h (/ (* (* (* M D) M) D) (* (* (* d d) 4) 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 h) M) l) -1/4) (/ D d)) (/ D d)) 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)))))
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#s(approx (* (* M h) M) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))
#s(approx (* M h) (*.f64 M h))
#s(approx M M)
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#s(approx (sqrt (+ (* (* (* (/ (* (* M h) M) l) -1/4) (/ D d)) (/ D d)) 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 h) M) l) -1/4) (/ D d)) (/ D d)) 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) (/.f64 D d))
#s(approx D D)
#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l)))) (+.f64 w0 (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.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 (sqrt.f64 (neg.f64 l)) #s(literal 4 binary64)))) (*.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)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 2 binary64)))))))))
#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg 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)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 2 binary64)))) (*.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 (sqrt.f64 (neg.f64 l)) #s(literal 4 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 (sqrt.f64 (neg.f64 l)) #s(literal 6 binary64)))))))))))
#s(approx (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.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 (sqrt.f64 (neg.f64 l)) #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 2 binary64)))))))))
#s(approx (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg 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)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 2 binary64)))) (*.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 (sqrt.f64 (neg.f64 l)) #s(literal 4 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 (sqrt.f64 (neg.f64 l)) #s(literal 6 binary64)))))))))))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (+.f64 (sqrt.f64 (neg.f64 l)) (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.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 (sqrt.f64 (neg.f64 l)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (neg.f64 l)))))))))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (+.f64 (sqrt.f64 (neg.f64 l)) (*.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)) (sqrt.f64 (neg.f64 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 (sqrt.f64 (neg.f64 l)) #s(literal 3 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 (sqrt.f64 (neg.f64 l)) #s(literal 5 binary64)))))))))))
#s(approx (* D (* (sqrt (/ -1/4 l)) (sqrt (* (* M M) (/ h (* d d)))))) (*.f64 D (*.f64 (sqrt.f64 (/.f64 #s(literal -1/4 binary64) l)) (sqrt.f64 (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))
#s(approx (* w0 (sqrt (+ (* (* (* (/ (* (* M h) M) l) -1/4) (/ D d)) (/ D d)) 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 h) M) l) -1/4) (/ D d)) (/ D d)) 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 h) M) l) -1/4) (/ D d)) (/ D d)) 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 h) M) l) -1/4) (/ D d)) (/ D d)) 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 h) M) l) -1/4) (/ D d)) (/ D d)) 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 h) M) l) -1/4) (/ D d)) (/ D d)) 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 h) M) l) -1/4) (/ D d)) (/ D d)) 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 h) M) l) -1/4) (/ D d)) (/ D d)) 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 h) M) l) -1/4) (/ D d)) (/ D d)) 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 (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l)))) (/.f64 (*.f64 D (*.f64 w0 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))))) (sqrt.f64 (neg.f64 l))))
#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l)))) (*.f64 D (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 l w0) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))) (/.f64 (*.f64 w0 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 l))))))
#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l)))) (*.f64 D (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 l w0) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (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 (pow.f64 D #s(literal 4 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64))))) (/.f64 (*.f64 w0 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 l)))))))
#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l)))) (*.f64 D (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 l w0) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (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 (pow.f64 D #s(literal 4 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) w0) (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) #s(literal 5 binary64))))) (/.f64 (*.f64 w0 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 l))))))))
#s(approx (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l))) (/.f64 (*.f64 D (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 l))))
#s(approx (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l))) (*.f64 D (fma.f64 #s(literal -1/2 binary64) (/.f64 l (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 l))))))
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#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 D (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 D (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 l (*.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) (pow.f64 d #s(literal 2 binary64))))))))))))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 D (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 l (*.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) (pow.f64 d #s(literal 2 binary64))))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 2 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) (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64))))))))))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 D (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 l (*.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) (pow.f64 d #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 2 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) (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 l #s(literal 3 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) (pow.f64 d #s(literal 2 binary64))))) #s(literal 5 binary64)))))))))))
#s(approx (* w0 (sqrt (- 1 (* h (/ (* (* (* M D) M) D) (* (* (* d d) 4) 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 (* h (/ (* (* (* M D) M) D) (* (* (* d d) 4) 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 (* h (/ (* (* (* M D) M) D) (* (* (* d d) 4) 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 (* h (/ (* (* (* M D) M) D) (* (* (* d d) 4) 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 (* h (/ (* (* (* M D) M) D) (* (* (* d d) 4) 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 (* h (/ (* (* (* M D) M) D) (* (* (* d d) 4) 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))))))))))))
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#s(approx (sqrt (- 1 (* h (/ (* (* (* M D) M) D) (* (* (* d d) 4) 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)))))))))
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#s(approx (* w0 (sqrt (+ (* (* (* (/ (* (* M h) M) l) -1/4) (/ D d)) (/ D d)) 1))) (+.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 (+ (* (* (* (/ (* (* M h) M) l) -1/4) (/ D d)) (/ D d)) 1)) (+.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 (+ (* (* (* (/ (* (* M h) M) l) -1/4) (/ D d)) (/ D d)) 1)) (+.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 h)
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#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg 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)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 2 binary64)))) (*.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 (sqrt.f64 (neg.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 h w0))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 6 binary64)))))))))))
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#s(approx l l)
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#s(approx (sqrt (- 1 (* h (/ (* (* (* M D) M) D) (* (* (* d d) 4) 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 (* h (/ (* (* (* M D) M) D) (* (* (* d d) 4) 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 (* h (/ (* (* (* M D) M) D) (* (* (* d d) 4) 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 (* h (/ (* (* (* M D) M) D) (* (* (* d d) 4) 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) 4) (*.f64 #s(literal 4 binary64) (pow.f64 d #s(literal 2 binary64))))
#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l)))) (+.f64 w0 (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 (neg.f64 l)) #s(literal 4 binary64)))) (*.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 (neg.f64 l)) #s(literal 2 binary64))))))))
#s(approx (* w0 (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l)))) (+.f64 w0 (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 (neg.f64 l)) #s(literal 4 binary64)))) (fma.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 (neg.f64 l)) #s(literal 6 binary64)))) (*.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 (neg.f64 l)) #s(literal 2 binary64)))))))))
#s(approx (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l))) (+.f64 #s(literal 1 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 (neg.f64 l)) #s(literal 4 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 (neg.f64 l)) #s(literal 2 binary64))))))))
#s(approx (/ (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (sqrt (neg l))) (+.f64 #s(literal 1 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 (neg.f64 l)) #s(literal 4 binary64)))) (fma.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 (neg.f64 l)) #s(literal 6 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 (neg.f64 l)) #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (+.f64 (sqrt.f64 (neg.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 (neg.f64 l)) #s(literal 3 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)) (sqrt.f64 (neg.f64 l))))))))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (+.f64 (sqrt.f64 (neg.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 (neg.f64 l)) #s(literal 3 binary64)))) (fma.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 (neg.f64 l)) #s(literal 5 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)) (sqrt.f64 (neg.f64 l)))))))))
#s(approx (* D (* (sqrt (/ -1/4 l)) (sqrt (* (* M M) (/ h (* d d)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 D (*.f64 (sqrt.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) l)))) d)))
#s(approx (* (sqrt (/ -1/4 l)) (sqrt (* (* M M) (/ h (* d d))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) l))) d)))
#s(approx (sqrt (* (* M M) (/ h (* d d)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) d)))
Calls

18 calls:

TimeVariablePoint
17.0ms
h
inf
11.0ms
M
0
11.0ms
l
inf
10.0ms
d
0
10.0ms
D
0

rewrite158.0ms (2.5%)

Memory
21.0MiB live, 286.1MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078608
0124592
1465537
22222527
04027513
Stop Event
iter-limit
node-limit
iter-limit
Counts
57 → 1 123
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) (/.f64 D d)) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) (/.f64 D d)) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) (/.f64 D d)) (/.f64 D d) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) (/.f64 D d))
(*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64))
(/.f64 (*.f64 (*.f64 M h) M) l)
(*.f64 (*.f64 M h) M)
(*.f64 M h)
M
h
l
#s(literal -1/4 binary64)
(/.f64 D d)
D
d
#s(literal 1 binary64)
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (sqrt.f64 (neg.f64 l))))
(/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (sqrt.f64 (neg.f64 l)))
#s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))))
(*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))
#s(literal -1 binary64)
(*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))
(sqrt.f64 (/.f64 #s(literal -1 binary64) l))
(/.f64 #s(literal -1 binary64) l)
(sqrt.f64 (neg.f64 l))
(neg.f64 l)
(*.f64 w0 #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) l)) (sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))))))
#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) l)) (sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))))))
(*.f64 D (*.f64 (sqrt.f64 (/.f64 #s(literal -1/4 binary64) l)) (sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1/4 binary64) l)) (sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))))
(sqrt.f64 (/.f64 #s(literal -1/4 binary64) l))
(/.f64 #s(literal -1/4 binary64) l)
(sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))
(*.f64 M M)
(/.f64 h (*.f64 d d))
(*.f64 d d)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) l))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) l)))))
(-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) l))))
(*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) l)))
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) l))
(*.f64 (*.f64 (*.f64 M D) M) D)
(*.f64 (*.f64 M D) M)
(*.f64 M D)
(*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) l)
(*.f64 (*.f64 d d) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.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 h l)
Outputs
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64))))
w0
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) d (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) D))) (sqrt.f64 d))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64)))))
(fabs.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d)))) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d)))) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64))))
(pow.f64 (*.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (neg.f64 D)) #s(literal 2 binary64) (*.f64 (neg.f64 d) #s(literal 2 binary64))) (*.f64 (neg.f64 d) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 h M) M) l))) (/.f64 D d)) #s(literal 2 binary64) (+.f64 d d)) (+.f64 d d))
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(*.f64 (pow.f64 (*.f64 (/.f64 D d) M) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 D d) M) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 (*.f64 (/.f64 D d) M))) (neg.f64 (fabs.f64 (*.f64 (/.f64 D d) M))))
(*.f64 (neg.f64 (*.f64 (neg.f64 M) (/.f64 D d))) (neg.f64 (*.f64 (neg.f64 M) (/.f64 D d))))
(*.f64 (fabs.f64 (/.f64 D d)) (fabs.f64 (*.f64 (/.f64 D d) (*.f64 M M))))
(*.f64 (fabs.f64 (/.f64 D d)) (fabs.f64 (*.f64 (*.f64 (/.f64 D d) M) M)))
(*.f64 (*.f64 M (/.f64 (*.f64 D D) (*.f64 d d))) M)
(*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (/.f64 D d))
(*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (*.f64 M M))
(*.f64 (fabs.f64 D) (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 (/.f64 D d) M) M))))
(*.f64 (fabs.f64 M) (fabs.f64 (*.f64 M (/.f64 (*.f64 D D) (*.f64 d d)))))
(*.f64 (fabs.f64 (*.f64 (/.f64 D d) M)) (fabs.f64 (*.f64 (/.f64 D d) M)))
(*.f64 (*.f64 (neg.f64 M) (/.f64 D d)) (*.f64 (neg.f64 M) (/.f64 D d)))
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M))
(*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 d d)))
(*.f64 (*.f64 D D) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) M) #s(literal 2 binary64)))
(*.f64 (*.f64 D D) (pow.f64 (/.f64 M d) #s(literal 2 binary64)))
(*.f64 (/.f64 D d) (*.f64 (/.f64 D d) (*.f64 M M)))
(*.f64 (/.f64 D d) (*.f64 (*.f64 (/.f64 D d) M) M))
(*.f64 D (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 (/.f64 D d) M) M)))
(*.f64 M (*.f64 M (/.f64 (*.f64 D D) (*.f64 d d))))
(pow.f64 (*.f64 (fabs.f64 M) (/.f64 D d)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 D d) (fabs.f64 M)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 (*.f64 (/.f64 D d) M))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 (neg.f64 M) (/.f64 D d))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 M) (/.f64 D d)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 d d)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 D M))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 (/.f64 D d) M) M))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 D (*.f64 (*.f64 (/.f64 D d) M) M))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 D d) M))) (neg.f64 d))
(/.f64 (fabs.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 D M))) (fabs.f64 d))
(/.f64 (fabs.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 (/.f64 D d) M) M))) (fabs.f64 d))
(/.f64 (fabs.f64 (*.f64 D (*.f64 (*.f64 (/.f64 D d) M) M))) (fabs.f64 d))
(/.f64 (fabs.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 D d) M))) (fabs.f64 d))
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 D M)) d)
(/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 (/.f64 D d) M) M)) (neg.f64 d))
(/.f64 (*.f64 D (*.f64 (*.f64 (/.f64 D d) M) M)) d)
(/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 D d) M)) d)
(/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 D M) M)) (*.f64 (neg.f64 d) d))
(/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 d d))
(neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 d d))))
(sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 d d))))
(fabs.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 d d))))
(fabs.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 d d)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (*.f64 (/.f64 D d) M))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 M) (/.f64 D d))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64)))
(*.f64 (*.f64 D M) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 D d) M)
(*.f64 D (*.f64 (/.f64 #s(literal 1 binary64) d) M))
(*.f64 D (/.f64 M d))
(*.f64 M (/.f64 D d))
(/.f64 (neg.f64 (*.f64 M (neg.f64 D))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) M)) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (neg.f64 (*.f64 D M))) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 M (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 (neg.f64 D) M) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 D M)) (neg.f64 d))
(/.f64 (*.f64 D M) d)
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 D M)))
(*.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 (neg.f64 (*.f64 h #s(literal 1 binary64))) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 (neg.f64 h))) (neg.f64 l))
(/.f64 (*.f64 h #s(literal 1 binary64)) l)
(/.f64 (neg.f64 (neg.f64 h)) l)
(/.f64 (neg.f64 h) (neg.f64 l))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 l) (neg.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 l h))
(/.f64 h (*.f64 #s(literal 1 binary64) l))
(/.f64 h l)
(neg.f64 (/.f64 (neg.f64 h) l))

eval692.0ms (11.1%)

Memory
-89.7MiB live, 349.2MiB allocated; 1.3s collecting garbage
Compiler

Compiled 55 485 to 7 787 computations (86% saved)

prune50.0ms (0.8%)

Memory
-4.2MiB live, 93.8MiB allocated; 24ms collecting garbage
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New1 305171 322
Fresh51015
Picked415
Done022
Total1 314301 344
Accuracy
98.1%
Counts
1 344 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.7%
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D) (*.f64 M D)) M) h) l)) w0) (sqrt.f64 (neg.f64 l)))
30.3%
(/.f64 (*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) w0) (sqrt.f64 (neg.f64 l)))
30.2%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) (*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) w0)))
33.8%
(*.f64 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (sqrt.f64 (neg.f64 l))) w0)
30.2%
(*.f64 (*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) w0) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))))
82.8%
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64))) w0)
70.9%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 d d)) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) w0)
29.7%
(*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) w0))
21.4%
(*.f64 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) l) (/.f64 h (*.f64 d d)))) (fabs.f64 M)) D)) w0)
28.2%
(*.f64 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 (*.f64 (fabs.f64 (/.f64 M d)) (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)))) D)) w0)
46.1%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 M M)) D) D))) (fabs.f64 d)))
33.7%
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (neg.f64 l)))))) (sqrt.f64 (neg.f64 l))))
33.7%
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 l))) (sqrt.f64 (sqrt.f64 (neg.f64 l))))))
19.1%
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (sqrt.f64 (sqrt.f64 (*.f64 (neg.f64 l) (neg.f64 l))))))
86.3%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) (/.f64 D d)) (/.f64 D d) #s(literal 1 binary64))))
78.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) D) (/.f64 D (*.f64 d d)) #s(literal 1 binary64))))
89.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (*.f64 D (/.f64 M (+.f64 d d)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D) l) #s(literal 1 binary64))))
80.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) D) d)) h) (*.f64 d l)))))
80.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) #s(literal 1/4 binary64))) (/.f64 h l)))))
75.6%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 l d) (*.f64 #s(literal 4 binary64) d)))))))
68.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
11.5%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/4 binary64) l)) D) (*.f64 (fabs.f64 M) (sqrt.f64 (/.f64 h (*.f64 d d)))))))
28.0%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (*.f64 h M) M))) (fabs.f64 d)))))
11.8%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) l) M)) (sqrt.f64 (*.f64 (/.f64 h (*.f64 d d)) M))))))
1.2%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (*.f64 #s(approx (sqrt (/ -1/4 l)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) l)) l)) (sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))))))
18.3%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (sqrt.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))))))
20.9%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D #s(approx (sqrt (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))) (*.f64 M (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))))
2.3%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D #s(approx (sqrt (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))) (*.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))))))))))
23.7%
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) #s(approx (* D (sqrt (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (/.f64 (*.f64 D (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))) d))))
1.3%
#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))))))))
Compiler

Compiled 1 032 to 783 computations (24.1% saved)

regimes456.0ms (7.3%)

Memory
29.8MiB live, 736.5MiB allocated; 159ms collecting garbage
Accuracy

Total -27.7b remaining (-88.2%)

Threshold costs -27.7b (-88.2%)

Counts
7 → 1
30 → 2
46 → 2
70 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (sqrt.f64 (neg.f64 l))) w0)
(/.f64 (*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) w0) (sqrt.f64 (neg.f64 l)))
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (sqrt.f64 (neg.f64 l))))
(*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) w0))
(*.f64 (*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) w0) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) (*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) w0)))
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 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (sqrt.f64 (neg.f64 l))) w0)
(/.f64 (*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) w0) (sqrt.f64 (neg.f64 l)))
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (sqrt.f64 (neg.f64 l))))
(*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) w0))
(*.f64 (*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) w0) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) (*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) w0)))
(*.f64 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 (*.f64 (fabs.f64 (/.f64 M d)) (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)))) D)) w0)
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (neg.f64 l)))))) (sqrt.f64 (neg.f64 l))))
(*.f64 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) l) (/.f64 h (*.f64 d d)))) (fabs.f64 M)) D)) w0)
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (*.f64 h M) M))) (fabs.f64 d)))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (/.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) M) #s(literal -1/4 binary64)) l)) (fabs.f64 d)))))
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (sqrt.f64 (sqrt.f64 (*.f64 (neg.f64 l) (neg.f64 l))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (sqrt.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/4 binary64) l)) D) (*.f64 (fabs.f64 M) (sqrt.f64 (/.f64 h (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) l) M)) (sqrt.f64 (*.f64 (/.f64 h (*.f64 d d)) M))))))
(*.f64 w0 #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) l)) (sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))))))
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 l))) (sqrt.f64 (sqrt.f64 (neg.f64 l))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 M M)) #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (*.f64 #s(approx (sqrt (/ -1/4 l)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) l)) l)) (sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 d d)) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) D) (/.f64 D (*.f64 d d)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 (*.f64 (*.f64 D D) M) (*.f64 h (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 l d) (*.f64 #s(literal 4 binary64) d)))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) l))))))
(*.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 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) h) (*.f64 (*.f64 l (*.f64 #s(literal 4 binary64) d)) d)))))
(*.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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (*.f64 D D) h)) (*.f64 d (*.f64 l d))))) w0)
Outputs
(*.f64 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 (*.f64 (fabs.f64 (/.f64 M d)) (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)))) 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 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (sqrt.f64 (neg.f64 l))) w0)
(/.f64 (*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) w0) (sqrt.f64 (neg.f64 l)))
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (sqrt.f64 (neg.f64 l))))
(*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) w0))
(*.f64 (*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) w0) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) (*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) w0)))
(*.f64 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 (*.f64 (fabs.f64 (/.f64 M d)) (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)))) D)) w0)
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (neg.f64 l)))))) (sqrt.f64 (neg.f64 l))))
(*.f64 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) l) (/.f64 h (*.f64 d d)))) (fabs.f64 M)) D)) w0)
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (*.f64 h M) M))) (fabs.f64 d)))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (/.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) M) #s(literal -1/4 binary64)) l)) (fabs.f64 d)))))
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (sqrt.f64 (sqrt.f64 (*.f64 (neg.f64 l) (neg.f64 l))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (sqrt.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/4 binary64) l)) D) (*.f64 (fabs.f64 M) (sqrt.f64 (/.f64 h (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) l) M)) (sqrt.f64 (*.f64 (/.f64 h (*.f64 d d)) M))))))
(*.f64 w0 #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) l)) (sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))))))
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 l))) (sqrt.f64 (sqrt.f64 (neg.f64 l))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 M M)) #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (*.f64 #s(approx (sqrt (/ -1/4 l)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) l)) l)) (sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 d d)) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) D) (/.f64 D (*.f64 d d)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 (*.f64 (*.f64 D D) M) (*.f64 h (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 l d) (*.f64 #s(literal 4 binary64) d)))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) l))))))
(*.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 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) h) (*.f64 (*.f64 l (*.f64 #s(literal 4 binary64) d)) d)))))
(*.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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (*.f64 D D) h)) (*.f64 d (*.f64 l d))))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) (/.f64 D d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 D (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D) M)) M) h)) l)))
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) h) M)) 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 h (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) D) d)) h) (*.f64 d 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 (-.f64 l (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D) D) (*.f64 (*.f64 M M) h))) l)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) #s(literal 1/4 binary64))) (/.f64 h 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 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) 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)))))
(*.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))))
Outputs
(*.f64 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 (*.f64 (fabs.f64 (/.f64 M d)) (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)))) D)) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) (/.f64 D d)) (/.f64 D d) #s(literal 1 binary64))))
Call 4
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (sqrt.f64 (neg.f64 l))) w0)
(/.f64 (*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) w0) (sqrt.f64 (neg.f64 l)))
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (sqrt.f64 (neg.f64 l))))
(*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) w0))
(*.f64 (*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) w0) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) (*.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) w0)))
(*.f64 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 (*.f64 (fabs.f64 (/.f64 M d)) (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)))) D)) w0)
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (neg.f64 l)))))) (sqrt.f64 (neg.f64 l))))
(*.f64 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) l) (/.f64 h (*.f64 d d)))) (fabs.f64 M)) D)) w0)
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (*.f64 h M) M))) (fabs.f64 d)))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (/.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) M) #s(literal -1/4 binary64)) l)) (fabs.f64 d)))))
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (sqrt.f64 (sqrt.f64 (*.f64 (neg.f64 l) (neg.f64 l))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (sqrt.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/4 binary64) l)) D) (*.f64 (fabs.f64 M) (sqrt.f64 (/.f64 h (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) l) M)) (sqrt.f64 (*.f64 (/.f64 h (*.f64 d d)) M))))))
(*.f64 w0 #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) l)) (sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))))))
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* (* (* (* M (* D D)) (/ 1/4 (* d d))) M) h) l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))) (*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 l))) (sqrt.f64 (sqrt.f64 (neg.f64 l))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (/.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 M M)) #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D (*.f64 #s(approx (sqrt (/ -1/4 l)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) l)) l)) (sqrt.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 d d)) #s(literal -1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) D) (/.f64 D (*.f64 d d)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M))) (*.f64 d l)) (/.f64 D d) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 (*.f64 (*.f64 D D) M) (*.f64 h (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 l d) (*.f64 #s(literal 4 binary64) d)))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) l))))))
(*.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 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) h) (*.f64 (*.f64 l (*.f64 #s(literal 4 binary64) d)) d)))))
(*.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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (*.f64 D D) h)) (*.f64 d (*.f64 l d))))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) #s(literal -1/4 binary64)) (/.f64 D d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 D (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D) M)) M) h)) l)))
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) h) M)) 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 h (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) M) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) D) d)) h) (*.f64 d 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 (-.f64 l (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D) D) (*.f64 (*.f64 M M) h))) l)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) #s(literal 1/4 binary64))) (/.f64 h 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 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) 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)))))
(*.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 (sqrt.f64 (fma.f64 (*.f64 h (*.f64 D (/.f64 M (+.f64 d d)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D) l) #s(literal 1 binary64))))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D D)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) M) h) l)) (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) D) (*.f64 M D)) M) h) l)) w0) (sqrt.f64 (neg.f64 l)))
(*.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 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D #s(approx (sqrt (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))) (*.f64 M (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 M M)) D) D))) (fabs.f64 d)))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) #s(approx (* D (sqrt (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (/.f64 (*.f64 D (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))) d))))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 l d) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) d) (*.f64 D D)) h))) (sqrt.f64 (*.f64 l d))))
(*.f64 w0 (/.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 l d) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) d) (*.f64 D D)) h)) l)) (sqrt.f64 d)))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 D #s(approx (sqrt (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))) (*.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))))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 w0 (*.f64 (sqrt.f64 (-.f64 (*.f64 l d) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) d) (*.f64 D D)) h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d)))))
(*.f64 w0 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (*.f64 l (+.f64 d d)) (*.f64 (*.f64 (*.f64 (*.f64 D M) h) (*.f64 (/.f64 #s(literal -1/2 binary64) d) D)) M))) (sqrt.f64 (*.f64 l (+.f64 d d)))))
(*.f64 w0 #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 (* w0 (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 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))
(*.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 (+ (* (* (/ 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))))))))
(*.f64 w0 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 #s(literal -1 binary64) (*.f64 D (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.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 #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 (* 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)))))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 D (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))))
(*.f64 w0 #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)))))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 h (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))))))
Outputs
(*.f64 #s(approx (sqrt (+ (* (* (/ M (+ d d)) D) (/ (* (/ D (+ d d)) (* M h)) (neg l))) 1)) (*.f64 (*.f64 (fabs.f64 (/.f64 M d)) (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)))) D)) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (*.f64 D (/.f64 M (+.f64 d d)))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) M) D) l) #s(literal 1 binary64))))
Calls

37 calls:

70.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
29.0ms
h
23.0ms
D
23.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
21.0ms
l
Results
AccuracySegmentsBranch
68.6%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
68.6%1l
68.6%1(*.f64 M D)
68.6%1(/.f64 h l)
68.6%1M
68.6%1D
68.6%1(*.f64 #s(literal 2 binary64) d)
68.6%1w0
68.6%1d
68.6%1h
68.6%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
68.6%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
68.6%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
68.6%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
68.6%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
91.5%3(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
93.6%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
93.6%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
91.7%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
91.7%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
93.6%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
94.0%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
89.2%1(/.f64 h l)
89.2%1(*.f64 #s(literal 2 binary64) d)
89.2%1(*.f64 M D)
93.9%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
93.9%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
94.7%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
95.4%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
95.4%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
95.4%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)))))
89.2%1w0
89.2%1M
89.2%1D
89.2%1h
89.2%1l
89.2%1d
Compiler

Compiled 2 466 to 905 computations (63.3% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.2061208490329245e+166
-3.281314723363379e+150
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.77477578349297e+80
-1.4722619837422044e+42
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1545660903684.8594
-6.321471509440795e-31
Compiler

Compiled 21 to 26 computations (-23.8% saved)

derivations110.0ms (1.8%)

Memory
16.7MiB live, 152.6MiB allocated; 11ms collecting garbage
Stop Event
fuel
Compiler

Compiled 249 to 76 computations (69.5% saved)

preprocess179.0ms (2.9%)

Memory
-90.1MiB live, 357.2MiB allocated; 70ms collecting garbage
Remove

(sort M D)

(negabs w0)

(abs d)

(abs D)

(abs M)

Compiler

Compiled 4 131 to 2 619 computations (36.6% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...