Henrywood and Agarwal, Equation (9a)

Time bar (total: 6.1s)

start0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze524.0ms (8.7%)

Memory
2.7MiB live, 1 911.0MiB allocated; 178ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.7%0.3%0.0%0.0%0.0%0
0.0%0.0%99.7%0.3%0.0%0.0%0.0%1
0.0%0.0%99.7%0.3%0.0%0.0%0.0%2
0.0%0.0%99.7%0.3%0.0%0.0%0.0%3
0.0%0.0%99.7%0.3%0.0%0.0%0.0%4
0.0%0.0%99.7%0.3%0.0%0.0%0.0%5
0.0%0.0%99.7%0.3%0.0%0.0%0.0%6
12.5%12.5%87.2%0.3%0.0%0.0%0.0%7
12.5%12.5%87.2%0.3%0.0%0.0%0.0%8
12.5%12.5%87.2%0.3%0.0%0.0%0.0%9
12.5%12.5%87.2%0.3%0.0%0.0%0.0%10
12.5%12.5%87.2%0.3%0.0%0.0%0.0%11
18.8%18.7%81.0%0.3%0.0%0.0%0.0%12
Compiler

Compiled 20 to 19 computations (5.0% saved)

sample2.0s (32.8%)

Memory
63.6MiB live, 5 678.7MiB allocated; 471ms collecting garbage
Samples
1.1s8 256×0valid
284.0ms2 838×0invalid
Precisions
Click to see histograms. Total time spent on operations: 761.0ms
ival-mult!: 279.0ms (36.7% of total)
ival-pow2: 198.0ms (26.0% of total)
ival-div!: 148.0ms (19.5% of total)
ival-sqrt: 81.0ms (10.6% of total)
ival-sub!: 53.0ms (7.0% of total)
adjust: 3.0ms (0.4% of total)
Bogosity

preprocess50.0ms (0.8%)

Memory
-22.7MiB live, 68.7MiB allocated; 8ms 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
78.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Symmetry

(abs M)

(abs D)

(abs d)

(negabs w0)

(sort M D)

Compiler

Compiled 36 to 34 computations (5.6% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
2
Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series181.0ms (3.0%)

Memory
-18.8MiB live, 385.0MiB allocated; 69ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06496856
Stop Event
iter-limit
Counts
17 → 108
Calls
Call 1
Inputs
w0
#s(literal 1 binary64)
M
D
(*.f64 M D)
#s(literal 2 binary64)
d
(*.f64 #s(literal 2 binary64) d)
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
h
l
(/.f64 h l)
(*.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)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Outputs
#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 M M)
#s(approx (* M D) (*.f64 D M))
#s(approx (/ (* M D) (* 2 d)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D M) d)))
#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 (* (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))) #s(literal 1 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 (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)) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.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 (* 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)) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.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 (- 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 (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 (* 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 (+.f64 (*.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 (+.f64 (*.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))))) (+.f64 (*.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 (+.f64 (*.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))))) (+.f64 (*.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))))) (+.f64 (*.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 #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 (+.f64 (*.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 (+.f64 (*.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))))) (+.f64 (*.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 (+.f64 (*.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))))) (+.f64 (*.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))))) (+.f64 (*.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 D D)
#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)) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.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 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 w0 (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.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 (- 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 (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 (* 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 (+.f64 (*.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 (+.f64 (*.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))))) (+.f64 (*.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 (+.f64 (*.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))))) (+.f64 (*.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))))) (+.f64 (*.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 #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 (+.f64 (*.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 (+.f64 (*.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))))) (+.f64 (*.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 (+.f64 (*.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))))) (+.f64 (*.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))))) (+.f64 (*.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 h h)
#s(approx (/ h l) (/.f64 h l))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+.f64 #s(literal 1 binary64) (*.f64 h (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 w0 (*.f64 h (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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)))))))))))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) w0) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h l))) (pow.f64 d #s(literal 2 binary64))))))) (*.f64 w0 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h l))) (pow.f64 d #s(literal 2 binary64))))))) l))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (+.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)) (*.f64 h l))) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) w0) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h l))) (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h l))) (pow.f64 d #s(literal 2 binary64)))))))))) l))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (+.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)) (*.f64 h l))) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h l))) (pow.f64 d #s(literal 2 binary64))))))) (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h l))) (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) w0) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h l))) (pow.f64 d #s(literal 2 binary64))))) #s(literal 5 binary64))))))))) l))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.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 (*.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 (+.f64 (*.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 (*.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) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 w0 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 d d)
#s(approx (* 2 d) (*.f64 #s(literal 2 binary64) 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 (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)) (+.f64 (*.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)) (+.f64 (*.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 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) l))))) d))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (+.f64 (*.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 (+.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))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (*.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 (+.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))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.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))
Calls

18 calls:

TimeVariablePoint
24.0ms
D
inf
15.0ms
M
0
7.0ms
d
0
7.0ms
h
inf
6.0ms
D
-inf

rewrite107.0ms (1.8%)

Memory
27.2MiB live, 257.7MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01795
02695
19195
239695
0404895
Stop Event
iter-limit
node-limit
iter-limit
Counts
17 → 427
Calls
Call 1
Inputs
w0
#s(literal 1 binary64)
M
D
(*.f64 M D)
#s(literal 2 binary64)
d
(*.f64 #s(literal 2 binary64) d)
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
h
l
(/.f64 h l)
(*.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)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Outputs
w0
#s(literal 1 binary64)
M
D
(*.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))
(+.f64 (*.f64 D M) (*.f64 (*.f64 D M) #s(literal 0 binary64)))
(+.f64 (*.f64 D M) (*.f64 #s(literal 0 binary64) (*.f64 D M)))
#s(literal 2 binary64)
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))) (+.f64 (*.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))) (+.f64 (*.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)
(*.f64 (/.f64 (neg.f64 M) #s(literal 2 binary64)) (/.f64 D (neg.f64 d)))
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 D #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 D) #s(literal 2 binary64)) (/.f64 M (neg.f64 d)))
(*.f64 (/.f64 (neg.f64 D) d) (/.f64 M #s(literal -2 binary64)))
(*.f64 (/.f64 M (neg.f64 d)) (/.f64 (neg.f64 D) #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 (neg.f64 D) d))
(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (neg.f64 M) d))
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 (neg.f64 M) #s(literal 2 binary64)))
(*.f64 (/.f64 M (+.f64 d d)) D)
(*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D))
(*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 (neg.f64 M) D))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 M d))
(*.f64 (/.f64 M d) (*.f64 D #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 (neg.f64 M) (*.f64 D (/.f64 #s(literal -1/2 binary64) d)))
(*.f64 (neg.f64 M) (/.f64 D (*.f64 #s(literal -2 binary64) d)))
(*.f64 (neg.f64 D) (*.f64 M (/.f64 #s(literal -1/2 binary64) d)))
(*.f64 (neg.f64 D) (/.f64 M (*.f64 #s(literal -2 binary64) d)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 D (+.f64 d d)) M)
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(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (neg.f64 h)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) h) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) l))
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))) (neg.f64 l))
(/.f64 (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))) l)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 l) (*.f64 (*.f64 (neg.f64 h) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d)))))
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(*.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))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 l)) (*.f64 (*.f64 (neg.f64 h) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d)))) (neg.f64 l))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) l)) (*.f64 l #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))) #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 #s(literal 2 binary64) (neg.f64 l)) (*.f64 (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 l)))
(/.f64 (-.f64 (*.f64 (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 #s(literal 1 binary64) #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)))
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(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))) #s(literal 2 binary64)) (*.f64 l #s(literal 2 binary64))) (*.f64 l #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))) #s(literal 2 binary64)) (*.f64 (neg.f64 l) #s(literal 2 binary64))) (*.f64 (neg.f64 l) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 h) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (neg.f64 l)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))) (*.f64 #s(literal 2 binary64) (neg.f64 l)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 l)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 h) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))) (*.f64 #s(literal 2 binary64) (neg.f64 l)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (neg.f64 (-.f64 l (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))) (neg.f64 l))
(/.f64 (-.f64 l (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d)))) l)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #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)))) (neg.f64 (/.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) (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 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.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 3 binary64))) (+.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (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 #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))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #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))) (/.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)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (*.f64 (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d))) (/.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)))))))
(/.f64 #s(literal 1 binary64) (/.f64 l (-.f64 l (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))))
(neg.f64 (-.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)))
(-.f64 (/.f64 l l) (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d))))
(-.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))
(-.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 (-.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))))))
(fabs.f64 (*.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)))))) (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 (*.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))))))))
(fabs.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 (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))
(+.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 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (/.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 #s(literal 0 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) (neg.f64 (/.f64 (*.f64 h (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 l (*.f64 d d)))))
(*.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 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))) (sqrt.f64 l))
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(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)))))))
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(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 (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))))))

eval78.0ms (1.3%)

Memory
-34.4MiB live, 208.6MiB allocated; 48ms collecting garbage
Compiler

Compiled 17 182 to 3 163 computations (81.6% saved)

prune25.0ms (0.4%)

Memory
39.3MiB live, 85.7MiB allocated; 4ms collecting garbage
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New49822520
Fresh000
Picked101
Done000
Total49922521
Accuracy
94.5%
Counts
521 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.8%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))) (sqrt.f64 l)))
63.8%
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d)))) l)))
68.3%
(*.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)))))
84.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))) (*.f64 D M)) (+.f64 d d)))))
70.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) h) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) l)))))
68.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l)))))
71.6%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M)) (*.f64 D M))))))
84.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))))))))
76.0%
(*.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)))))
80.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M))) (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M))))))
67.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) D) M)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))))))
82.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (fabs.f64 (*.f64 (/.f64 M (+.f64 d d)) D))) (fabs.f64 (*.f64 (/.f64 M (+.f64 d d)) D))))))
78.6%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M (+.f64 d d)) D) (*.f64 (/.f64 M (+.f64 d d)) D)) (/.f64 h l)))))
71.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))))
16.4%
(*.f64 w0 #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)))
5.9%
(*.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))))))))
14.2%
(*.f64 w0 #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))))))))
17.3%
(*.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))))))))
1.6%
(*.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)))))))))
2.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 D (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))))
14.2%
#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))))))))
17.4%
#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))))))))
Compiler

Compiled 1 236 to 986 computations (20.2% saved)

sample0.0ms (0.0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
1/2
1/4
2
Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 1/4 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series335.0ms (5.5%)

Memory
17.4MiB live, 769.1MiB allocated; 132ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0155719662
Stop Event
iter-limit
Counts
55 → 291
Calls
Call 1
Inputs
w0
#s(literal 1 binary64)
#s(literal 1/2 binary64)
d
(/.f64 #s(literal 1/2 binary64) d)
D
M
(*.f64 D M)
h
(*.f64 h (*.f64 D M))
l
(+.f64 d d)
(*.f64 l (+.f64 d d))
(/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d)))
(*.f64 (*.f64 D M) (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d)))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d)))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))))
(*.f64 D D)
(*.f64 M M)
#s(literal 1/4 binary64)
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d)
(*.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 #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 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 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(*.f64 d d)
(/.f64 (*.f64 D D) (*.f64 d d))
(*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d)))
(-.f64 l (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))
(sqrt.f64 (-.f64 l (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d)))))
(sqrt.f64 l)
(/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))) (sqrt.f64 l))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))) (sqrt.f64 l)))
#s(literal 2 binary64)
(pow.f64 M #s(literal 2 binary64))
(*.f64 (pow.f64 M #s(literal 2 binary64)) h)
(pow.f64 d #s(literal 2 binary64))
(*.f64 (pow.f64 d #s(literal 2 binary64)) l)
(/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))
(neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
(sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
(*.f64 D (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
(*.f64 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))))))))
Outputs
#s(approx w0 w0)
#s(approx (* w0 (sqrt (- 1 (* (/ 1/2 d) (* (* D M) (/ (* h (* D M)) (* l (+ d d)))))))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
#s(approx (* w0 (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l))) (/.f64 (*.f64 w0 (sqrt.f64 (-.f64 l (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64))))))) (sqrt.f64 l)))
#s(approx M M)
#s(approx (* D M) (*.f64 D M))
#s(approx (* h (* D M)) (*.f64 D (*.f64 M h)))
#s(approx (/ (* h (* D M)) (* l (+ d d))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) (*.f64 d l))))
#s(approx (* (* D M) (/ (* h (* D M)) (* l (+ d d)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 d l))))
#s(approx (* (/ 1/2 d) (* (* D M) (/ (* h (* D M)) (* l (+ d d))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
#s(approx (- 1 (* (/ 1/2 d) (* (* D M) (/ (* h (* D M)) (* l (+ d d)))))) #s(literal 1 binary64))
#s(approx (- 1 (* (/ 1/2 d) (* (* D M) (/ (* h (* D M)) (* l (+ d d)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
#s(approx (sqrt (- 1 (* (/ 1/2 d) (* (* D M) (/ (* h (* D M)) (* l (+ d d))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
#s(approx (sqrt (- 1 (* (/ 1/2 d) (* (* D M) (/ (* h (* D M)) (* l (+ d d))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.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 (* (/ 1/2 d) (* (* D M) (/ (* h (* D M)) (* l (+ d d))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.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 (* w0 (sqrt (- 1 (* (/ 1/2 d) (* (* D M) (/ (* h (* D M)) (* l (+ d d)))))))) (+.f64 w0 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
#s(approx (* w0 (sqrt (- 1 (* (/ 1/2 d) (* (* D M) (/ (* h (* D M)) (* l (+ d d)))))))) (+.f64 w0 (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.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 (* (/ 1/2 d) (* (* D M) (/ (* h (* D M)) (* l (+ d d)))))))) (+.f64 w0 (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.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 (* M M) (pow.f64 M #s(literal 2 binary64)))
#s(approx (* (* M M) 1/4) (*.f64 #s(literal 1/4 binary64) (pow.f64 M #s(literal 2 binary64))))
#s(approx (* (* D D) (* (* M M) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))
#s(approx (/ (* (* D D) (* (* M M) 1/4)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) d)))
#s(approx (* (/ (* (* D D) (* (* M M) 1/4)) d) h) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) d)))
#s(approx (* h (* (* M M) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))
#s(approx (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64)))))
#s(approx (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d)))) l)
#s(approx (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d)))) (+.f64 l (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64))))))
#s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt.f64 l))
#s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (+.f64 (sqrt.f64 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)) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 l))))))
#s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (+.f64 (sqrt.f64 l) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 l)))) (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 h #s(literal 2 binary64)))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 3 binary64)))))))))
#s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (+.f64 (sqrt.f64 l) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 l)))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.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 (sqrt.f64 l) #s(literal 3 binary64))))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 h #s(literal 3 binary64)))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 5 binary64)))))))))))
#s(approx (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64)))))))
#s(approx (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64))))) (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 h #s(literal 2 binary64)))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 4 binary64)))))))))
#s(approx (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64))))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.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 (sqrt.f64 l) #s(literal 4 binary64))))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 h #s(literal 3 binary64)))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 6 binary64)))))))))))
#s(approx (* w0 (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l))) (+.f64 w0 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64)))))))
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#s(approx D D)
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#s(approx (* D D) (pow.f64 D #s(literal 2 binary64)))
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#s(approx h h)
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#s(approx d d)
#s(approx (/ 1/2 d) (/.f64 #s(literal 1/2 binary64) d))
#s(approx (+ d d) (*.f64 #s(literal 2 binary64) d))
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#s(approx (* d d) (pow.f64 d #s(literal 2 binary64)))
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#s(approx (* w0 (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l))) (/.f64 (+.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) w0)) (*.f64 (sqrt.f64 l) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 l w0) (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))))))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))))) (sqrt.f64 l))) d))
#s(approx (* w0 (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l))) (/.f64 (+.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 l w0) (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) w0) (*.f64 (sqrt.f64 l) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) w0)) (*.f64 (sqrt.f64 l) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))) #s(literal 5 binary64))))))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))))) (sqrt.f64 l))) d))
#s(approx (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))) d))
#s(approx (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))) (/.f64 (*.f64 D (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l))))) d))
#s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (+.f64 (sqrt.f64 l) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 l)))) (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 3 binary64))))))))
#s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (+.f64 (sqrt.f64 l) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 l)))) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 3 binary64))))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 5 binary64)))))))))
#s(approx (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64))))) (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 4 binary64))))))))
#s(approx (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 4 binary64))))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 6 binary64)))))))))
#s(approx (* w0 (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l))) (+.f64 w0 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64))))) (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (pow.f64 h #s(literal 2 binary64)) w0))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 4 binary64))))))))
#s(approx (* w0 (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l))) (+.f64 w0 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (pow.f64 h #s(literal 2 binary64)) w0))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 4 binary64))))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 h #s(literal 3 binary64)) w0))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 6 binary64)))))))))
#s(approx (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))) d)))
#s(approx (* D (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 D (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l))))) d)))
Calls

18 calls:

TimeVariablePoint
37.0ms
M
inf
21.0ms
l
0
20.0ms
h
0
20.0ms
D
inf
18.0ms
D
0

rewrite252.0ms (4.2%)

Memory
-27.3MiB live, 740.0MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063590
0106583
1421531
22057499
04044499
Stop Event
iter-limit
node-limit
iter-limit
Counts
55 → 1 011
Calls
Call 1
Inputs
w0
#s(literal 1 binary64)
#s(literal 1/2 binary64)
d
(/.f64 #s(literal 1/2 binary64) d)
D
M
(*.f64 D M)
h
(*.f64 h (*.f64 D M))
l
(+.f64 d d)
(*.f64 l (+.f64 d d))
(/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d)))
(*.f64 (*.f64 D M) (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d)))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d)))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))))
(*.f64 D D)
(*.f64 M M)
#s(literal 1/4 binary64)
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d)
(*.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 #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 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 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(*.f64 d d)
(/.f64 (*.f64 D D) (*.f64 d d))
(*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d)))
(-.f64 l (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))
(sqrt.f64 (-.f64 l (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d)))))
(sqrt.f64 l)
(/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))) (sqrt.f64 l))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))) (sqrt.f64 l)))
#s(literal 2 binary64)
(pow.f64 M #s(literal 2 binary64))
(*.f64 (pow.f64 M #s(literal 2 binary64)) h)
(pow.f64 d #s(literal 2 binary64))
(*.f64 (pow.f64 d #s(literal 2 binary64)) l)
(/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))
(neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
(sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
(*.f64 D (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
(*.f64 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))))))))
Outputs
w0
#s(literal 1 binary64)
#s(literal 1/2 binary64)
d
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) d))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) d))
(pow.f64 (+.f64 d d) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) d))
(/.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 2 binary64))
(/.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) (pow.f64 (+.f64 d d) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 d d) #s(literal 1 binary64)))
(/.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)))
(/.f64 #s(literal 1 binary64) (+.f64 d d))
(neg.f64 (/.f64 #s(literal -1/2 binary64) d))
(exp.f64 (*.f64 (log.f64 (+.f64 d d)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 0 binary64) (+.f64 d d)))
D
M
(*.f64 M D)
(*.f64 D M)
h
(*.f64 (*.f64 h M) D)
(*.f64 (*.f64 h D) M)
(*.f64 h (*.f64 M D))
(*.f64 (*.f64 M D) h)
(*.f64 M (*.f64 h D))
(*.f64 D (*.f64 M h))
l
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) d)) d)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 d d)) d)
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 d d) (*.f64 d d)) (-.f64 d (neg.f64 (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 (*.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64))) (*.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64)))) (-.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 d #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 d #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64))) (*.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 #s(literal 1 binary64) d)) (*.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 #s(literal 1 binary64) d))) (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 #s(literal 1 binary64) d)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) d) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) d) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 #s(literal 1 binary64) d)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 #s(literal 1 binary64) d)) (*.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 #s(literal 1 binary64) d)))))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 d)) #s(literal 3 binary64))) (+.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 d (neg.f64 (neg.f64 d))))))
(/.f64 (-.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (neg.f64 d) #s(literal 3 binary64))) (+.f64 (*.f64 d d) (+.f64 (*.f64 d d) (*.f64 (neg.f64 d) d))))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (+.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 d d))))
(neg.f64 (*.f64 #s(literal -2 binary64) d))
(-.f64 d (neg.f64 d))
(+.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 #s(literal 1 binary64) d))
(+.f64 d (neg.f64 (neg.f64 d)))
(+.f64 d 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 (+.f64 d d) l)
(*.f64 #s(literal 2 binary64) (*.f64 l d))
(*.f64 l (+.f64 d d))
(*.f64 d (*.f64 #s(literal 2 binary64) l))
(*.f64 d (+.f64 l l))
(/.f64 (-.f64 (*.f64 (*.f64 l d) (*.f64 l d)) (*.f64 (*.f64 (neg.f64 l) d) (*.f64 (neg.f64 l) d))) (+.f64 (*.f64 l d) (*.f64 (neg.f64 l) d)))
(/.f64 (-.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 l) d) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 l d) (*.f64 l d)) (+.f64 (*.f64 (*.f64 (neg.f64 l) d) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 l d) (*.f64 (neg.f64 l) d)))))
(/.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))) (+.f64 (*.f64 (*.f64 l d) (*.f64 l d)) (-.f64 (*.f64 (*.f64 l d) (*.f64 l d)) (*.f64 (*.f64 l d) (*.f64 l d)))))
(-.f64 (*.f64 l d) (*.f64 (neg.f64 l) d))
(+.f64 (*.f64 l d) (*.f64 l d))
(*.f64 (*.f64 (/.f64 h l) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d))
(*.f64 (*.f64 (/.f64 h l) M) (/.f64 D (+.f64 d d)))
(*.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (/.f64 (*.f64 h D) (+.f64 d d)) (/.f64 M l))
(*.f64 (/.f64 (*.f64 h D) l) (/.f64 M (+.f64 d d)))
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(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))
(*.f64 (/.f64 #s(literal 1/4 binary64) l) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))
(*.f64 (*.f64 M (/.f64 M (*.f64 d d))) (*.f64 (/.f64 h l) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)))
(*.f64 (*.f64 M M) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 h) (*.f64 M M)))) (neg.f64 (*.f64 (*.f64 (neg.f64 d) d) l)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))) #s(literal 1/4 binary64))) (neg.f64 l))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 d d))) (neg.f64 l))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) l)) (*.f64 (neg.f64 d) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) l)
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 h) (*.f64 M M))) (*.f64 (*.f64 (neg.f64 d) d) l))
(/.f64 (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))) #s(literal 1/4 binary64)) l)
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 d d)) l)
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) l) (*.f64 d d))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64))) (neg.f64 (*.f64 (*.f64 (neg.f64 d) d) l)))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 (neg.f64 d) d) l))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 (*.f64 d d) l))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) l)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))))))
(*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)))
(*.f64 (/.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))))
(*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (*.f64 d d) l)))
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 h) (*.f64 M M)))) (neg.f64 (*.f64 (*.f64 (neg.f64 d) d) l)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 (*.f64 (neg.f64 d) d) l))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) l)
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 h) (*.f64 M M))) (*.f64 (*.f64 (neg.f64 d) d) l))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64))) (*.f64 (*.f64 (neg.f64 d) d) l))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) (neg.f64 (*.f64 (*.f64 (neg.f64 d) d) l)))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 (*.f64 (neg.f64 d) d) l))
(neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))))
(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))))) (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(fabs.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d))))) (sqrt.f64 (/.f64 h l)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) l))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) l))))
(*.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) l)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M))) (sqrt.f64 #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (*.f64 d d) l))) (sqrt.f64 #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (*.f64 d d) l))))
(*.f64 (pow.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 h) (*.f64 M M)))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l)))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (sqrt.f64 (*.f64 (*.f64 d d) l)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 d d) l)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)) (sqrt.f64 (*.f64 (*.f64 (neg.f64 d) d) l)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))))))
(fabs.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))) D)
(*.f64 D (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))) D))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))) D)) w0)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))) D)))

eval151.0ms (2.5%)

Memory
13.9MiB live, 475.7MiB allocated; 46ms collecting garbage
Compiler

Compiled 50 858 to 8 003 computations (84.3% saved)

prune58.0ms (1.0%)

Memory
-3.9MiB live, 138.5MiB allocated; 17ms collecting garbage
Pruning

34 alts after pruning (31 fresh and 3 done)

PrunedKeptTotal
New1 260261 286
Fresh12517
Picked505
Done-330
Total1 274341 308
Accuracy
96.5%
Counts
1 308 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.4%
(*.f64 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) (/.f64 D (*.f64 d d)))) l)) w0)
72.0%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D) (*.f64 (*.f64 d d) l)))) w0)
77.8%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 d d) l) d)))) w0)
15.7%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))) D)) w0)
37.4%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) (/.f64 D (*.f64 d d))) l)) (sqrt.f64 (neg.f64 l))))
86.5%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l))))) (sqrt.f64 d)))
40.4%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 D (/.f64 D d))) d))) (sqrt.f64 l)))
32.5%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 h M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 (*.f64 D D) (*.f64 d d))))) (sqrt.f64 l)))
36.2%
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 l)))
9.3%
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))) (sqrt.f64 l)))
37.2%
(*.f64 w0 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) (/.f64 D (*.f64 d d))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) l))))
68.3%
(*.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)))))
84.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l)) (*.f64 M D)) (+.f64 d d)))))
65.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) M) M) #s(literal -1/4 binary64)) h) (*.f64 (neg.f64 d) (*.f64 l d))))))
70.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) h) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) l)))))
80.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) d)) h) (*.f64 d l)))))
68.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l)))))
77.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 D (+.f64 d d)) M) (*.f64 M D)))))))
84.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))))))))
76.0%
(*.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)))))
82.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (fabs.f64 (*.f64 (/.f64 M (+.f64 d d)) D))) (fabs.f64 (*.f64 (/.f64 M (+.f64 d d)) D))))))
82.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D (+.f64 d d)) M) h) (/.f64 (*.f64 M D) (*.f64 (+.f64 d d) l))))))
71.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))))
0.7%
(*.f64 w0 #s(approx (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l)) (*.f64 #s(literal -1 binary64) (*.f64 D (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 l (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.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 (neg.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 l)))))))
17.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l))))))
18.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (*.f64 l d) d))))))))
18.5%
(*.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 (*.f64 h M) M) (*.f64 (pow.f64 d #s(literal 2 binary64)) 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 (*.f64 M (/.f64 M (*.f64 d d))) h) l)))))))
15.9%
(*.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 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))))))))
17.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 M (/.f64 h (*.f64 (*.f64 d d) l))))))))))
18.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D #s(approx (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))))))
2.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D #s(approx (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))) d))))))
6.0%
#s(approx (* w0 (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l))) (*.f64 M (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 l w0) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))))) (sqrt.f64 l)))))
14.2%
#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))))))))
Compiler

Compiled 2 062 to 1 583 computations (23.2% saved)

sample0.0ms (0.0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
1/2
1/4
Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 1/4 binary64)
Samples
0.0ms0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series302.0ms (5.0%)

Memory
32.4MiB live, 565.5MiB allocated; 107ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0250032086
Stop Event
iter-limit
Counts
53 → 433
Calls
Call 1
Inputs
w0
#s(literal 1 binary64)
d
(*.f64 #s(literal 1 binary64) d)
#s(literal 1/2 binary64)
M
D
(*.f64 M D)
(*.f64 #s(literal 1/2 binary64) (*.f64 M D))
h
(*.f64 h (*.f64 M D))
(+.f64 d d)
l
(*.f64 (+.f64 d d) l)
(/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l)))
(-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l))))
(sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l)))))
(sqrt.f64 d)
(/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l))))) (sqrt.f64 d))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l))))) (sqrt.f64 d)))
(/.f64 #s(literal 1 binary64) l)
(sqrt.f64 (/.f64 #s(literal 1 binary64) l))
(*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
#s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l))))
(sqrt.f64 l)
(/.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 l))
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 l)))
#s(literal 1/4 binary64)
(*.f64 M M)
(*.f64 #s(literal 1/4 binary64) (*.f64 M M))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D)
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D)
(*.f64 d d)
(*.f64 (*.f64 d d) l)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D) (*.f64 (*.f64 d d) l))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D) (*.f64 (*.f64 d d) l)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D) (*.f64 (*.f64 d d) l))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D) (*.f64 (*.f64 d d) l)))) w0)
(*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l)) (*.f64 M D))
(/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l)) (*.f64 M D)) (+.f64 d d))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l)) (*.f64 M D)) (+.f64 d d)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l)) (*.f64 M D)) (+.f64 d d))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l)) (*.f64 M D)) (+.f64 d d)))))
(/.f64 D d)
(*.f64 D (/.f64 D d))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 D (/.f64 D d)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 D (/.f64 D d))) d)
(-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 D (/.f64 D d))) d))
(sqrt.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 D (/.f64 D d))) d)))
(/.f64 (sqrt.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 D (/.f64 D d))) d))) (sqrt.f64 l))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 D (/.f64 D d))) d))) (sqrt.f64 l)))
Outputs
#s(approx w0 w0)
#s(approx (* w0 (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d))) (/.f64 (*.f64 w0 (sqrt.f64 (-.f64 d (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 d l)))))) (sqrt.f64 d)))
#s(approx (* w0 (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l))) (/.f64 (*.f64 w0 (sqrt.f64 (-.f64 l (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64))))))) (sqrt.f64 l)))
#s(approx (* (sqrt (- 1 (/ (* (* (* (* 1/4 (* M M)) h) D) D) (* (* d d) l)))) w0) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
#s(approx M M)
#s(approx (* M D) (*.f64 D M))
#s(approx (* 1/2 (* M D)) (*.f64 #s(literal 1/2 binary64) (*.f64 D M)))
#s(approx (* h (* M D)) (*.f64 D (*.f64 M h)))
#s(approx (/ (* h (* M D)) (* (+ d d) l)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) (*.f64 d l))))
#s(approx (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) 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 d l))))
#s(approx (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l)))) d)
#s(approx (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l)))) (+.f64 d (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 d l)))))
#s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt.f64 d))
#s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (+.f64 (sqrt.f64 d) (*.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 d (*.f64 l (sqrt.f64 d)))))))
#s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (+.f64 (sqrt.f64 d) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d (*.f64 l (sqrt.f64 d))))) (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 3 binary64))))))))))
#s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (+.f64 (sqrt.f64 d) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d (*.f64 l (sqrt.f64 d))))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #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 2 binary64)) (pow.f64 h #s(literal 3 binary64)))) (*.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 5 binary64))))))))))))
#s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) #s(literal 1 binary64))
#s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 d (*.f64 l (pow.f64 (sqrt.f64 d) #s(literal 2 binary64))))))))
#s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d (*.f64 l (pow.f64 (sqrt.f64 d) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 h #s(literal 2 binary64)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 4 binary64))))))))))
#s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d (*.f64 l (pow.f64 (sqrt.f64 d) #s(literal 2 binary64)))))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.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 2 binary64)) (pow.f64 h #s(literal 3 binary64)))) (*.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 6 binary64))))))))))))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d))) (+.f64 w0 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) (*.f64 d (*.f64 l (pow.f64 (sqrt.f64 d) #s(literal 2 binary64))))))))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d))) (+.f64 w0 (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 h w0)) (*.f64 d (*.f64 l (pow.f64 (sqrt.f64 d) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (pow.f64 h #s(literal 2 binary64)) w0))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 4 binary64))))))))))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d))) (+.f64 w0 (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 h w0)) (*.f64 d (*.f64 l (pow.f64 (sqrt.f64 d) #s(literal 2 binary64)))))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.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 2 binary64)) (*.f64 (pow.f64 h #s(literal 3 binary64)) w0))) (*.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 6 binary64))))))))))))
#s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt.f64 l))
#s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (+.f64 (sqrt.f64 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)) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 l))))))
#s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (+.f64 (sqrt.f64 l) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 l)))) (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 h #s(literal 2 binary64)))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 3 binary64)))))))))
#s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (+.f64 (sqrt.f64 l) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 l)))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.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 (sqrt.f64 l) #s(literal 3 binary64))))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 h #s(literal 3 binary64)))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 5 binary64)))))))))))
#s(approx (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64)))))))
#s(approx (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64))))) (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 h #s(literal 2 binary64)))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 4 binary64)))))))))
#s(approx (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64))))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.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 (sqrt.f64 l) #s(literal 4 binary64))))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 h #s(literal 3 binary64)))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 6 binary64)))))))))))
#s(approx (* w0 (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l))) (+.f64 w0 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64)))))))
#s(approx (* w0 (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l))) (+.f64 w0 (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 h w0)) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64))))) (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (pow.f64 h #s(literal 2 binary64)) w0))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 4 binary64)))))))))
#s(approx (* w0 (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l))) (+.f64 w0 (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 h w0)) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 2 binary64))))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (pow.f64 h #s(literal 2 binary64)) w0)) (*.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 4 binary64))))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (pow.f64 h #s(literal 3 binary64)) w0))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 6 binary64)))))))))))
#s(approx (* M M) (pow.f64 M #s(literal 2 binary64)))
#s(approx (* 1/4 (* M M)) (*.f64 #s(literal 1/4 binary64) (pow.f64 M #s(literal 2 binary64))))
#s(approx (* (* 1/4 (* M M)) h) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)))
#s(approx (* (* (* 1/4 (* M M)) h) D) (*.f64 #s(literal 1/4 binary64) (*.f64 D (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))
#s(approx (* (* (* (* 1/4 (* M M)) h) D) D) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))
#s(approx (/ (* (* (* (* 1/4 (* M M)) h) D) D) (* (* d d) 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))))
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#s(approx (* (/ (* h (* M D)) (* (+ d d) l)) (* M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 d l))))
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#s(approx (/ (* (* (* 1/4 (* M M)) h) (* D (/ D d))) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64)))))
#s(approx (- l (/ (* (* (* 1/4 (* M M)) h) (* D (/ D d))) d)) l)
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#s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l)))))))
#s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) 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 d l))))) (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.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 d l)))))))))))
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#s(approx (* w0 (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d))) (*.f64 M (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 d w0) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 d) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l))))))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l)))))) (sqrt.f64 d)))))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d))) (*.f64 M (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) w0) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (sqrt.f64 d) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l))))) #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 d w0) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 d) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l))))))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l)))))) (sqrt.f64 d))))))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d))) (*.f64 M (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) w0) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (sqrt.f64 d) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l))))) #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) w0) (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (sqrt.f64 d) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l))))) #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 d w0) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 d) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l))))))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l)))))) (sqrt.f64 d)))))))
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#s(approx (* (sqrt (- 1 (/ (* (* (* (* 1/4 (* M M)) h) D) D) (* (* d d) l)))) w0) (*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 (*.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))))) (+.f64 (*.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 (/ (* (* (* (* 1/4 (* M M)) h) D) D) (* (* d d) l)))) w0) (*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 (*.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))))) (+.f64 (*.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))))) (+.f64 (*.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 D D)
#s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (+.f64 (sqrt.f64 d) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 d (*.f64 l (sqrt.f64 d))))) (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 3 binary64))))))))))
#s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (+.f64 (sqrt.f64 d) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 d (*.f64 l (sqrt.f64 d))))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #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 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 5 binary64))))))))))))
#s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 d (*.f64 l (pow.f64 (sqrt.f64 d) #s(literal 2 binary64)))))) (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 4 binary64))))))))))
#s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 d (*.f64 l (pow.f64 (sqrt.f64 d) #s(literal 2 binary64)))))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #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 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 6 binary64))))))))))))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d))) (+.f64 w0 (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)) (*.f64 d (*.f64 l (pow.f64 (sqrt.f64 d) #s(literal 2 binary64)))))) (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 4 binary64))))))))))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d))) (+.f64 w0 (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)) (*.f64 d (*.f64 l (pow.f64 (sqrt.f64 d) #s(literal 2 binary64)))))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #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 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 6 binary64))))))))))))
#s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (+.f64 (sqrt.f64 l) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 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 (sqrt.f64 l) #s(literal 3 binary64)))))))))
#s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (+.f64 (sqrt.f64 l) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 l)))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 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 l) #s(literal 5 binary64)))))))))))
#s(approx (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 l) #s(literal 2 binary64))))) (*.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 l) #s(literal 4 binary64)))))))))
#s(approx (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 l) #s(literal 2 binary64))))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 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 l) #s(literal 6 binary64)))))))))))
#s(approx (* w0 (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l))) (+.f64 w0 (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 l) #s(literal 2 binary64))))) (*.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 l) #s(literal 4 binary64)))))))))
#s(approx (* w0 (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l))) (+.f64 w0 (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 l) #s(literal 2 binary64))))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 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 l) #s(literal 6 binary64)))))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (* 1/4 (* M M)) h) D) D) (* (* d d) l)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 (/ (* (* (* (* 1/4 (* M M)) h) D) D) (* (* d d) l)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.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 (* (sqrt (- 1 (/ (* (* (* (* 1/4 (* M M)) h) D) D) (* (* d d) l)))) w0) (+.f64 w0 (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 (* (sqrt (- 1 (/ (* (* (* (* 1/4 (* M M)) h) D) D) (* (* d d) l)))) w0) (+.f64 w0 (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.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 (/ D d) (/.f64 D d))
#s(approx (* D (/ D d)) (/.f64 (pow.f64 D #s(literal 2 binary64)) d))
#s(approx (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l)))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (-.f64 (/.f64 d (pow.f64 D #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 d l))))))
#s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ 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 d l)))))))
#s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ 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 d l))))) (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.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 d l)))))))))))
#s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ 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 d l))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 2 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 d l))))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.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 d l))))))))))))
#s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ 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 d l))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 2 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 d l))))) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 3 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 d l))))) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.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 d l)))))))))))))
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#s(approx h h)
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#s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) (*.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 3 binary64)) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) d))))))))))
#s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 3 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #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 l (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))))) (pow.f64 d #s(literal 3 binary64))))))))
#s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal 3 binary64))))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (*.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal 5 binary64))))))) (pow.f64 d #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 l (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))))) (pow.f64 d #s(literal 3 binary64))))))))
#s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 3 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #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 l (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal 2 binary64)))))) (pow.f64 d #s(literal 3 binary64))))))
#s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal 6 binary64))))))) (pow.f64 d #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 l (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal 2 binary64)))))) (pow.f64 d #s(literal 3 binary64))))))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d))) (+.f64 w0 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 3 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #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 l (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal 2 binary64)))))) (pow.f64 d #s(literal 3 binary64))))))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d))) (+.f64 w0 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal 6 binary64))))))) (pow.f64 d #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)) (*.f64 h w0))) (*.f64 l (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal 2 binary64)))))) (pow.f64 d #s(literal 3 binary64))))))
Calls

18 calls:

TimeVariablePoint
34.0ms
M
-inf
13.0ms
h
-inf
12.0ms
d
0
12.0ms
D
inf
11.0ms
h
inf

rewrite299.0ms (4.9%)

Memory
-4.7MiB live, 855.9MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062593
0105579
1435555
21991511
04057511
Stop Event
iter-limit
node-limit
iter-limit
Counts
53 → 1 135
Calls
Call 1
Inputs
w0
#s(literal 1 binary64)
d
(*.f64 #s(literal 1 binary64) d)
#s(literal 1/2 binary64)
M
D
(*.f64 M D)
(*.f64 #s(literal 1/2 binary64) (*.f64 M D))
h
(*.f64 h (*.f64 M D))
(+.f64 d d)
l
(*.f64 (+.f64 d d) l)
(/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l)))
(-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l))))
(sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l)))))
(sqrt.f64 d)
(/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l))))) (sqrt.f64 d))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l))))) (sqrt.f64 d)))
(/.f64 #s(literal 1 binary64) l)
(sqrt.f64 (/.f64 #s(literal 1 binary64) l))
(*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
#s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l))))
(sqrt.f64 l)
(/.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 l))
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 l)))
#s(literal 1/4 binary64)
(*.f64 M M)
(*.f64 #s(literal 1/4 binary64) (*.f64 M M))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D)
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D)
(*.f64 d d)
(*.f64 (*.f64 d d) l)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D) (*.f64 (*.f64 d d) l))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D) (*.f64 (*.f64 d d) l)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D) (*.f64 (*.f64 d d) l))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D) (*.f64 (*.f64 d d) l)))) w0)
(*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l)) (*.f64 M D))
(/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l)) (*.f64 M D)) (+.f64 d d))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l)) (*.f64 M D)) (+.f64 d d)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l)) (*.f64 M D)) (+.f64 d d))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l)) (*.f64 M D)) (+.f64 d d)))))
(/.f64 D d)
(*.f64 D (/.f64 D d))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 D (/.f64 D d)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 D (/.f64 D d))) d)
(-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 D (/.f64 D d))) d))
(sqrt.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 D (/.f64 D d))) d)))
(/.f64 (sqrt.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 D (/.f64 D d))) d))) (sqrt.f64 l))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 D (/.f64 D d))) d))) (sqrt.f64 l)))
Outputs
w0
#s(literal 1 binary64)
d
d
#s(literal 1/2 binary64)
M
D
(*.f64 D M)
(*.f64 M D)
(*.f64 (*.f64 #s(literal 1/2 binary64) D) M)
(*.f64 (*.f64 M #s(literal 1/2 binary64)) D)
(*.f64 (*.f64 D M) #s(literal 1/2 binary64))
(*.f64 D (*.f64 M #s(literal 1/2 binary64)))
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
h
(*.f64 (*.f64 h M) D)
(*.f64 (*.f64 h D) M)
(*.f64 h (*.f64 D M))
(*.f64 (*.f64 D M) h)
(*.f64 D (*.f64 h M))
(*.f64 M (*.f64 h D))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) d)) d)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 d d)) d)
(*.f64 #s(literal 2 binary64) d)
(*.f64 (+.f64 d d) #s(literal 1 binary64))
(*.f64 d #s(literal 2 binary64))
(*.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))) (+.f64 (*.f64 d d) (+.f64 (*.f64 d d) (*.f64 (neg.f64 d) 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))) (+.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 d d))))
(neg.f64 (*.f64 #s(literal -2 binary64) d))
(-.f64 d (neg.f64 d))
(+.f64 d (neg.f64 (neg.f64 d)))
(+.f64 d d)
l
(*.f64 (*.f64 l #s(literal 2 binary64)) d)
(*.f64 #s(literal 2 binary64) (*.f64 l d))
(*.f64 l (+.f64 d d))
(*.f64 (+.f64 d d) l)
(+.f64 (*.f64 l d) (*.f64 l d))
(*.f64 (/.f64 (*.f64 h M) l) (/.f64 D (+.f64 d d)))
(*.f64 (/.f64 (*.f64 h M) (+.f64 d d)) (/.f64 D l))
(*.f64 (/.f64 h l) (*.f64 D (/.f64 M (+.f64 d d))))
(*.f64 (*.f64 h M) (*.f64 D (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 d d)))))
(*.f64 (*.f64 h M) (/.f64 D (*.f64 l (+.f64 d d))))
(*.f64 (*.f64 (*.f64 h M) (/.f64 D (+.f64 d d))) (/.f64 #s(literal 1 binary64) l))
(*.f64 (*.f64 D (/.f64 M (+.f64 d d))) (/.f64 h l))
(*.f64 (*.f64 D (/.f64 M (*.f64 l (+.f64 d d)))) h)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 d d))) (*.f64 h (*.f64 D M)))
(*.f64 (*.f64 M (/.f64 D l)) (/.f64 h (+.f64 d d)))
(*.f64 (/.f64 h (+.f64 d d)) (*.f64 M (/.f64 D l)))
(*.f64 (*.f64 (neg.f64 h) (*.f64 D M)) (/.f64 #s(literal -1 binary64) (*.f64 l (+.f64 d d))))
(*.f64 (*.f64 h (*.f64 D M)) (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 d d))))
(*.f64 h (*.f64 D (/.f64 M (*.f64 l (+.f64 d d)))))
(*.f64 (*.f64 D M) (*.f64 h (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 d d)))))
(*.f64 (*.f64 D M) (/.f64 h (*.f64 l (+.f64 d d))))
(/.f64 (*.f64 h (/.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 l d))
(/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 D M)) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 d (neg.f64 l)))
(/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 D M)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 d (neg.f64 (neg.f64 l))))
(/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 D M)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 l d))
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D M)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) d) (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D M)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) d) (neg.f64 (neg.f64 l))))
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D M)) #s(literal 1 binary64)) (*.f64 (neg.f64 l) (+.f64 d d)))
(/.f64 (*.f64 (*.f64 h (*.f64 D M)) #s(literal -1 binary64)) (*.f64 (neg.f64 l) (+.f64 d d)))
(/.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 l d))
(/.f64 (*.f64 (neg.f64 (*.f64 D M)) (/.f64 h #s(literal 2 binary64))) (*.f64 (neg.f64 l) d))
(/.f64 (*.f64 (neg.f64 (*.f64 D M)) (neg.f64 h)) (*.f64 (neg.f64 l) (*.f64 #s(literal -2 binary64) d)))
(/.f64 (*.f64 (*.f64 D M) (/.f64 h #s(literal 2 binary64))) (*.f64 l d))
(/.f64 (*.f64 (/.f64 h #s(literal 2 binary64)) (neg.f64 (*.f64 D M))) (*.f64 d (neg.f64 l)))
(/.f64 (*.f64 (/.f64 h #s(literal 2 binary64)) (*.f64 D M)) (*.f64 l d))
(/.f64 (*.f64 (neg.f64 h) (neg.f64 (*.f64 D M))) (*.f64 (*.f64 #s(literal -2 binary64) d) (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (/.f64 h (+.f64 d d)) (*.f64 D M))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (*.f64 h (*.f64 D M)) #s(literal 1 binary64))) (*.f64 (neg.f64 l) (+.f64 d d)))
(/.f64 (neg.f64 (*.f64 h (*.f64 M (/.f64 D l)))) (*.f64 #s(literal -2 binary64) d))
(/.f64 (neg.f64 (/.f64 (*.f64 h (*.f64 D M)) l)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 h M) (/.f64 D (+.f64 d d))))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 h) (*.f64 D M)))) (neg.f64 (neg.f64 (*.f64 (neg.f64 l) (+.f64 d d)))))
(/.f64 (*.f64 (/.f64 h (+.f64 d d)) (*.f64 D M)) l)
(/.f64 (*.f64 (*.f64 h (*.f64 D M)) #s(literal 1 binary64)) (*.f64 (+.f64 d d) (neg.f64 (neg.f64 l))))
(/.f64 (*.f64 (*.f64 h (*.f64 D M)) #s(literal 1 binary64)) (*.f64 l (+.f64 d d)))
(/.f64 (*.f64 h (*.f64 M (/.f64 D l))) (+.f64 d d))
(/.f64 (/.f64 (*.f64 h (*.f64 D M)) l) (+.f64 d d))
(/.f64 (neg.f64 (*.f64 (*.f64 h M) (/.f64 D (+.f64 d d)))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (*.f64 D M))) (neg.f64 (*.f64 (neg.f64 l) (+.f64 d d))))
(/.f64 (*.f64 (*.f64 h M) (/.f64 D (+.f64 d d))) l)
(/.f64 (*.f64 (neg.f64 h) (*.f64 D M)) (*.f64 (neg.f64 l) (+.f64 d d)))
(/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (*.f64 h M) (/.f64 D (+.f64 d d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 l) (+.f64 d d)) (*.f64 (neg.f64 h) (*.f64 D M))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (+.f64 d d)) (*.f64 h (*.f64 D M))))
(neg.f64 (/.f64 (*.f64 h (*.f64 D M)) (*.f64 (neg.f64 l) (+.f64 d d))))
(neg.f64 (/.f64 (*.f64 (neg.f64 h) (*.f64 D M)) (*.f64 l (+.f64 d d))))
(*.f64 (*.f64 (*.f64 (*.f64 h M) (/.f64 D (*.f64 l (+.f64 d d)))) (*.f64 M #s(literal 1/2 binary64))) D)
(*.f64 (*.f64 (*.f64 (*.f64 h M) (/.f64 D (*.f64 l (+.f64 d d)))) #s(literal 1/2 binary64)) (*.f64 D M))
(*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (/.f64 h (+.f64 d d))) (*.f64 M (/.f64 D l)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) M) (*.f64 l (+.f64 d d)))) D)
(*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D (/.f64 M (*.f64 l (+.f64 d d)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h M) (/.f64 D (*.f64 l (+.f64 d d))))) (*.f64 D M))
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eval191.0ms (3.2%)

Memory
-4.9MiB live, 463.2MiB allocated; 53ms collecting garbage
Compiler

Compiled 67 180 to 9 500 computations (85.9% saved)

prune59.0ms (1.0%)

Memory
22.4MiB live, 165.0MiB allocated; 13ms collecting garbage
Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New1 605271 632
Fresh17926
Picked505
Done213
Total1 629371 666
Accuracy
96.9%
Counts
1 666 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.1%
(/.f64 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d))))) w0) (sqrt.f64 l))
75.3%
(/.f64 (*.f64 (sqrt.f64 (-.f64 d (*.f64 (*.f64 (*.f64 h M) (/.f64 D (*.f64 l (+.f64 d d)))) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))))) w0) (sqrt.f64 d))
33.3%
(/.f64 (*.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) l)) w0) (sqrt.f64 l))
37.4%
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d))) l)) (sqrt.f64 (neg.f64 l))) w0)
23.7%
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 (*.f64 d d) l) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) D)))) (sqrt.f64 (*.f64 (neg.f64 l) (*.f64 d d)))) w0)
37.2%
(*.f64 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) w0)
74.4%
(*.f64 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d)))) l)) w0)
80.9%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) d) D) (*.f64 l d)))) w0)
75.5%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D) (*.f64 (*.f64 l d) d)))) w0)
73.9%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 D M)) D) M) (*.f64 (+.f64 d d) (*.f64 l (+.f64 d d)))))) w0)
72.7%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D)))) w0)
34.5%
(*.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) l)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) w0))
15.7%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))) D)) w0)
0.0%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 h M) (/.f64 D (*.f64 l (+.f64 d d)))) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) d)) (sqrt.f64 (neg.f64 d))))
86.3%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D M)) (+.f64 d d)) l))) (sqrt.f64 d)))
84.9%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) M) (*.f64 l (+.f64 d d)))) D))) (sqrt.f64 d)))
40.4%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 D (/.f64 D d))) d))) (sqrt.f64 l)))
70.9%
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))) (sqrt.f64 d)))
15.7%
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l))))))) (sqrt.f64 d)))
36.0%
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 l)))) (sqrt.f64 l)))
36.2%
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 l #s(approx (sqrt (/ 1 l)) (/.f64 (sqrt.f64 l) l)))) (sqrt.f64 l)))
81.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h (+.f64 d d)) (*.f64 D M)) (*.f64 D M)) (*.f64 l (+.f64 d d))))))
83.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) (/.f64 D (*.f64 l (+.f64 d d)))) D) M) (+.f64 d d)))))
70.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) h) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) l)))))
80.6%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h M) (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D l))) (+.f64 d d)))))
68.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l)))))
76.0%
(*.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)))))
84.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 h M) (/.f64 D (*.f64 l (+.f64 d d)))) (*.f64 D (/.f64 M (+.f64 d d)))))))
77.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 l (+.f64 d d)) (+.f64 d d)))))))
71.3%
(*.f64 w0 #s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) #s(literal 1 binary64)))
17.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l))))))
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 (*.f64 M (/.f64 M (*.f64 d d))) h) l)))))))
15.9%
(*.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 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))))))))
17.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 M (/.f64 h (*.f64 (*.f64 d d) l))))))))))
18.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D #s(approx (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))))))
15.7%
#s(approx (* w0 (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d))) (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l))))))) (sqrt.f64 d)))
21.7%
#s(approx (* w0 (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d))) (/.f64 (*.f64 D (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 d l))))))) (sqrt.f64 d)))
Compiler

Compiled 2 147 to 1 677 computations (21.9% saved)

sample0.0ms (0.0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
1/2
-1/4
4
1/4
Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 4 binary64)
#s(literal 1/4 binary64)
Samples
0.0ms0valid
Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series298.0ms (4.9%)

Memory
-9.5MiB live, 686.6MiB allocated; 102ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0256332636
Stop Event
iter-limit
Counts
55 → 457
Calls
Call 1
Inputs
w0
#s(literal 1 binary64)
d
(*.f64 #s(literal 1 binary64) d)
D
M
(*.f64 D M)
#s(literal 1/2 binary64)
(*.f64 (*.f64 D M) #s(literal 1/2 binary64))
h
(*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h)
(*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D M))
(+.f64 d d)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D M)) (+.f64 d d))
l
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D M)) (+.f64 d d)) l)
(-.f64 (*.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D M)) (+.f64 d d)) l))
(sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D M)) (+.f64 d d)) l)))
(sqrt.f64 d)
(/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D M)) (+.f64 d d)) l))) (sqrt.f64 d))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D M)) (+.f64 d d)) l))) (sqrt.f64 d)))
#s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) #s(literal 1 binary64))
(*.f64 w0 #s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) #s(literal 1 binary64)))
#s(literal -1/4 binary64)
(*.f64 d d)
(/.f64 M (*.f64 d d))
(*.f64 M (/.f64 M (*.f64 d d)))
(*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d))))
(/.f64 h l)
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l))
(sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l)))
(*.f64 D (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l))))))
(*.f64 (*.f64 D M) D)
(*.f64 (*.f64 (*.f64 D M) D) M)
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 d d))
(/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l)))))
(*.f64 M M)
#s(literal 1/4 binary64)
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h)
(*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D)
(/.f64 D (*.f64 d d))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d)))
(-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d))))
(sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d)))))
(*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d))))) w0)
(sqrt.f64 l)
(/.f64 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d))))) w0) (sqrt.f64 l))
Outputs
#s(approx w0 w0)
#s(approx (* w0 (/ (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt d))) (/.f64 (*.f64 w0 (sqrt.f64 (-.f64 d (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 d l)))))) (sqrt.f64 d)))
#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 (* (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) w0) (*.f64 w0 (sqrt.f64 (-.f64 l (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64))))))))
#s(approx (/ (* (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) w0) (sqrt l)) (/.f64 (*.f64 w0 (sqrt.f64 (-.f64 l (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64))))))) (sqrt.f64 l)))
#s(approx M M)
#s(approx (* D M) (*.f64 D M))
#s(approx (* (* D M) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 D M)))
#s(approx (* (* (* D M) 1/2) h) (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))))
#s(approx (* (* (* (* D M) 1/2) h) (* D M)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h))))
#s(approx (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) d)))
#s(approx (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) 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 d l))))
#s(approx (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l)) d)
#s(approx (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l)) (+.f64 d (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 d l)))))
#s(approx (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt.f64 d))
#s(approx (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (+.f64 (sqrt.f64 d) (*.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 d (*.f64 l (sqrt.f64 d)))))))
#s(approx (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (+.f64 (sqrt.f64 d) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d (*.f64 l (sqrt.f64 d))))) (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 3 binary64))))))))))
#s(approx (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (+.f64 (sqrt.f64 d) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d (*.f64 l (sqrt.f64 d))))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #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 2 binary64)) (pow.f64 h #s(literal 3 binary64)))) (*.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 5 binary64))))))))))))
#s(approx (/ (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt d)) #s(literal 1 binary64))
#s(approx (/ (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt d)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 d (*.f64 l (pow.f64 (sqrt.f64 d) #s(literal 2 binary64))))))))
#s(approx (/ (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt d)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d (*.f64 l (pow.f64 (sqrt.f64 d) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 h #s(literal 2 binary64)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 4 binary64))))))))))
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#s(approx (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) (*.f64 #s(literal -1 binary64) (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))))
#s(approx (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) (*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 l (*.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) (pow.f64 d #s(literal 2 binary64)))))))))))))
#s(approx (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) (*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 2 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) (pow.f64 d #s(literal 2 binary64)))))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 l (*.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) (pow.f64 d #s(literal 2 binary64))))))))))))))
#s(approx (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) (*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 2 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) (pow.f64 d #s(literal 2 binary64)))))) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 l #s(literal 3 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) (pow.f64 d #s(literal 2 binary64)))))) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 l (*.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) (pow.f64 d #s(literal 2 binary64)))))))))))))))
#s(approx (* (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) w0) (*.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) (pow.f64 d #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) w0) (*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 l 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) (pow.f64 d #s(literal 2 binary64))))))))) (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))))))
#s(approx (* (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) w0) (*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) 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) (pow.f64 d #s(literal 2 binary64)))))) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 l 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) (pow.f64 d #s(literal 2 binary64))))))))) (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))))))))))
#s(approx (* (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) w0) (*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) 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) (pow.f64 d #s(literal 2 binary64)))))) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) 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) (pow.f64 d #s(literal 2 binary64)))))) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 l 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) (pow.f64 d #s(literal 2 binary64))))))))) (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))))))))
#s(approx (/ (* (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) w0) (sqrt l)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))) (sqrt.f64 l))))
#s(approx (/ (* (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) w0) (sqrt l)) (*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 l w0) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))))) (sqrt.f64 l))))))
#s(approx (/ (* (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) w0) (sqrt l)) (*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) w0) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (sqrt.f64 l) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))) #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 l w0) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))))) (sqrt.f64 l)))))))
#s(approx (/ (* (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) w0) (sqrt l)) (*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) w0) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (sqrt.f64 l) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))) #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) w0) (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (sqrt.f64 l) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))) #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 l w0) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))))) (sqrt.f64 l))))))))
#s(approx D D)
#s(approx (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (+.f64 (sqrt.f64 d) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 d (*.f64 l (sqrt.f64 d))))) (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 3 binary64))))))))))
#s(approx (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (+.f64 (sqrt.f64 d) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 d (*.f64 l (sqrt.f64 d))))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #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 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 5 binary64))))))))))))
#s(approx (/ (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt d)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 d (*.f64 l (pow.f64 (sqrt.f64 d) #s(literal 2 binary64)))))) (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 4 binary64))))))))))
#s(approx (/ (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt d)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 d (*.f64 l (pow.f64 (sqrt.f64 d) #s(literal 2 binary64)))))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #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 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 6 binary64))))))))))))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt d))) (+.f64 w0 (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)) (*.f64 d (*.f64 l (pow.f64 (sqrt.f64 d) #s(literal 2 binary64)))))) (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 4 binary64))))))))))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt d))) (+.f64 w0 (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)) (*.f64 d (*.f64 l (pow.f64 (sqrt.f64 d) #s(literal 2 binary64)))))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 d) #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 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 6 binary64))))))))))))
#s(approx (* D (sqrt (* (* -1/4 (* M (/ M (* d d)))) (/ h 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 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.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 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 w0 (*.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.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 (/ D (* d d)) (/.f64 D (pow.f64 d #s(literal 2 binary64))))
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#s(approx h h)
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#s(approx (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal 3 binary64))))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (*.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal 5 binary64))))))) (pow.f64 d #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 l (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))))) (pow.f64 d #s(literal 3 binary64))))))))
#s(approx (/ (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt d)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 3 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #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 l (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal 2 binary64)))))) (pow.f64 d #s(literal 3 binary64))))))
#s(approx (/ (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt d)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal 6 binary64))))))) (pow.f64 d #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 l (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal 2 binary64)))))) (pow.f64 d #s(literal 3 binary64))))))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt d))) (+.f64 w0 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 3 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #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 l (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal 2 binary64)))))) (pow.f64 d #s(literal 3 binary64))))))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt d))) (+.f64 w0 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 l #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal 6 binary64))))))) (pow.f64 d #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)) (*.f64 h w0))) (*.f64 l (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) #s(literal 2 binary64)))))) (pow.f64 d #s(literal 3 binary64))))))
#s(approx (sqrt (* (* -1/4 (* M (/ M (* d d)))) (/ h 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)))
#s(approx (* D (sqrt (* (* -1/4 (* M (/ M (* d d)))) (/ h 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)))
Calls

18 calls:

TimeVariablePoint
22.0ms
d
-inf
14.0ms
D
inf
13.0ms
M
-inf
11.0ms
h
-inf
10.0ms
d
0

rewrite220.0ms (3.6%)

Memory
-3.9MiB live, 824.9MiB allocated; 88ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075598
0117580
1485550
22197535
04082531
Stop Event
iter-limit
node-limit
iter-limit
Counts
55 → 874
Calls
Call 1
Inputs
w0
#s(literal 1 binary64)
d
(*.f64 #s(literal 1 binary64) d)
D
M
(*.f64 D M)
#s(literal 1/2 binary64)
(*.f64 (*.f64 D M) #s(literal 1/2 binary64))
h
(*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h)
(*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D M))
(+.f64 d d)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D M)) (+.f64 d d))
l
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D M)) (+.f64 d d)) l)
(-.f64 (*.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D M)) (+.f64 d d)) l))
(sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D M)) (+.f64 d d)) l)))
(sqrt.f64 d)
(/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D M)) (+.f64 d d)) l))) (sqrt.f64 d))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D M)) (+.f64 d d)) l))) (sqrt.f64 d)))
#s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) #s(literal 1 binary64))
(*.f64 w0 #s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) #s(literal 1 binary64)))
#s(literal -1/4 binary64)
(*.f64 d d)
(/.f64 M (*.f64 d d))
(*.f64 M (/.f64 M (*.f64 d d)))
(*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d))))
(/.f64 h l)
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l))
(sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l)))
(*.f64 D (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l))))))
(*.f64 (*.f64 D M) D)
(*.f64 (*.f64 (*.f64 D M) D) M)
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 d d))
(/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l)))))
(*.f64 M M)
#s(literal 1/4 binary64)
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h)
(*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D)
(/.f64 D (*.f64 d d))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d)))
(-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d))))
(sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d)))))
(*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d))))) w0)
(sqrt.f64 l)
(/.f64 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d))))) w0) (sqrt.f64 l))
Outputs
w0
#s(literal 1 binary64)
d
d
D
M
(*.f64 M D)
(*.f64 D M)
#s(literal 1/2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) D) M)
(*.f64 (*.f64 #s(literal 1/2 binary64) M) D)
(*.f64 (*.f64 M D) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 M D))
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
(*.f64 M (/.f64 D #s(literal 2 binary64)))
(*.f64 D (*.f64 #s(literal 1/2 binary64) M))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) M)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 D) M) #s(literal -2 binary64))
(/.f64 (*.f64 M D) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 M D)))
h
(*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D)
(*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M D))
(*.f64 (*.f64 h D) (*.f64 #s(literal 1/2 binary64) M))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) h)
(*.f64 (*.f64 #s(literal 1/2 binary64) M) (*.f64 h D))
(*.f64 (*.f64 (*.f64 M D) h) #s(literal 1/2 binary64))
(*.f64 (*.f64 M D) (*.f64 h #s(literal 1/2 binary64)))
(*.f64 h (*.f64 (*.f64 #s(literal 1/2 binary64) M) D))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 M D) h))
(*.f64 M (*.f64 D (*.f64 h #s(literal 1/2 binary64))))
(*.f64 D (*.f64 (*.f64 #s(literal 1/2 binary64) M) h))
(*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 h M)) D)
(*.f64 (*.f64 (*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D) M) D)
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 M D)) h)
(*.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) h)
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 h D)) M)
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (*.f64 M D) h))
(*.f64 (*.f64 #s(literal 1/2 binary64) M) (*.f64 D (*.f64 (*.f64 M D) h)))
(*.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 h #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D))
(*.f64 (*.f64 M D) (*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D))
(*.f64 (*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D) (*.f64 M D))
(*.f64 h (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 M D)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M D) D) M) h))
(*.f64 M (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 h D)))
(*.f64 D (*.f64 (*.f64 #s(literal 1/2 binary64) M) (*.f64 (*.f64 M D) h)))
(*.f64 D (*.f64 M (*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) d)) d)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 d d)) d)
(*.f64 #s(literal 2 binary64) d)
(*.f64 (+.f64 d d) #s(literal 1 binary64))
(*.f64 d #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 d d))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 d)) #s(literal 3 binary64))) (+.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 d (neg.f64 (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 (neg.f64 d) #s(literal 3 binary64))) (+.f64 (*.f64 d d) (+.f64 (*.f64 d d) (*.f64 (neg.f64 d) d))))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (+.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 d d))))
(neg.f64 (*.f64 #s(literal -2 binary64) d))
(-.f64 d (neg.f64 d))
(+.f64 d (neg.f64 (neg.f64 d)))
(+.f64 d d)
(*.f64 (*.f64 (*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d))
(*.f64 (*.f64 (*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D) M) (/.f64 D (+.f64 d d)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 h D)) #s(literal 2 binary64)) (/.f64 M d))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 h D)) d) (*.f64 #s(literal 1/2 binary64) M))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 M D) h) d))
(*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D) #s(literal 2 binary64)) (/.f64 (*.f64 M D) d))
(*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D) d) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D))
(*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 h D)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 h D)) (/.f64 M (+.f64 d d)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D) d))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (*.f64 h M) (/.f64 D (+.f64 d d))))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (*.f64 M D) h)))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (*.f64 (*.f64 M D) h)) (/.f64 #s(literal -1 binary64) (+.f64 d d)))
(*.f64 (*.f64 (/.f64 D (+.f64 d d)) M) (/.f64 (*.f64 (*.f64 M D) h) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 D (+.f64 d d)) M) (*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D))
(*.f64 (*.f64 M D) (*.f64 (*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D) (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (*.f64 M D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 (/.f64 D (+.f64 d d)) M)))
(*.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D) (+.f64 d d)))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (*.f64 M D) h)) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D) (*.f64 (/.f64 D (+.f64 d d)) M))
(*.f64 h (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 D (+.f64 d d)) M)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D))) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (*.f64 (*.f64 M D) h)) #s(literal -2 binary64))) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (*.f64 M D) h)) d)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (*.f64 M D) h)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) d))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (*.f64 (*.f64 M D) h)))) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) M)) D) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) d)
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (*.f64 (*.f64 M D) h)) #s(literal -2 binary64)) d)
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(/.f64 (neg.f64 (-.f64 (*.f64 l (*.f64 d d)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D))) (*.f64 (neg.f64 d) d))
(/.f64 (-.f64 (*.f64 l (*.f64 d d)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D)) (*.f64 d d))
(/.f64 (-.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)) (/.f64 D (*.f64 d d))) (*.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)) (/.f64 D (*.f64 d d))))) (-.f64 l (*.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)) (/.f64 D (*.f64 d d)))))
(/.f64 (+.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)) (/.f64 D (*.f64 d d))) #s(literal 3 binary64))) (+.f64 (*.f64 l l) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)) (/.f64 D (*.f64 d d))) (*.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)) (/.f64 D (*.f64 d d)))) (*.f64 l (*.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)) (/.f64 D (*.f64 d d)))))))
(/.f64 (-.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)) (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))) (+.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))))
(/.f64 (-.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)) #s(literal 3 binary64))) (+.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)) (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))) (*.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))))))
(neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)) l))
(-.f64 (/.f64 (*.f64 l (*.f64 d d)) (*.f64 d d)) (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))
(-.f64 l (*.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))) (/.f64 D (*.f64 d d))))
(-.f64 l (neg.f64 (*.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)) (/.f64 D (*.f64 d d)))))
(-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))
(sqrt.f64 (*.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))) (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))))) (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))) (neg.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))))))
(fabs.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))))
(+.f64 (*.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)) (/.f64 D (*.f64 d d))) l)
(+.f64 l (*.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)) (/.f64 D (*.f64 d d))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))))) (sqrt.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))))))
(*.f64 (pow.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 l (*.f64 d d)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D))) (sqrt.f64 (*.f64 d d)))
(sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))))))
(fabs.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))))
(exp.f64 (*.f64 (log.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))))
(*.f64 (sqrt.f64 (sqrt.f64 l)) (sqrt.f64 (sqrt.f64 l)))
(*.f64 (pow.f64 l (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 l (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 l #s(literal 1/2 binary64))
(sqrt.f64 l)
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 l))))
(fabs.f64 (neg.f64 (sqrt.f64 l)))
(fabs.f64 (sqrt.f64 l))
(exp.f64 (*.f64 (log.f64 l) #s(literal 1/2 binary64)))
(*.f64 (/.f64 w0 (sqrt.f64 l)) (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))) w0))
(*.f64 (*.f64 (neg.f64 w0) (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 l))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))) w0) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))) (/.f64 w0 (sqrt.f64 l)))
(*.f64 w0 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 l))))
(*.f64 w0 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))) l)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))) w0) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 w0) (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 l)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))) w0) #s(literal 1 binary64)) (sqrt.f64 l))
(/.f64 (neg.f64 (*.f64 (neg.f64 w0) (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))))) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (*.f64 (neg.f64 w0) (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))))) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))) w0) (sqrt.f64 l))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 l)) (*.f64 (neg.f64 w0) (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))) w0)))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))) w0) (neg.f64 (sqrt.f64 l))))
(neg.f64 (/.f64 (*.f64 (neg.f64 w0) (sqrt.f64 (-.f64 l (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h))))) (sqrt.f64 l)))

eval209.0ms (3.5%)

Memory
57.2MiB live, 416.6MiB allocated; 115ms collecting garbage
Compiler

Compiled 62 133 to 8 730 computations (85.9% saved)

prune59.0ms (1.0%)

Memory
-28.9MiB live, 113.4MiB allocated; 10ms collecting garbage
Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New1 348181 366
Fresh141731
Picked505
Done-121
Total1 366371 403
Accuracy
97.4%
Counts
1 403 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.5%
(/.f64 (*.f64 (sqrt.f64 (-.f64 l (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D) d) d))) w0) (sqrt.f64 l))
34.4%
(/.f64 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 M (*.f64 (*.f64 #s(literal 1/4 binary64) M) (*.f64 h D))) (/.f64 D (*.f64 d d))))) w0) (sqrt.f64 l))
77.0%
(/.f64 (*.f64 (sqrt.f64 (-.f64 d (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (*.f64 M D) h)) (*.f64 l (+.f64 d d))))) w0) (sqrt.f64 d))
33.4%
(/.f64 (*.f64 (sqrt.f64 #s(approx (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d)))) l)) w0) (sqrt.f64 l))
33.3%
(/.f64 (*.f64 #s(approx (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) w0) (sqrt.f64 l))
31.6%
(/.f64 #s(approx (* (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) w0) (*.f64 l (*.f64 w0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l))))) (sqrt.f64 l))
37.4%
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d))) l)) (sqrt.f64 (neg.f64 l))) w0)
23.7%
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 (*.f64 d d) l) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) D)))) (sqrt.f64 (*.f64 (neg.f64 l) (*.f64 d d)))) w0)
74.4%
(*.f64 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d)))) l)) w0)
80.9%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) d) D) (*.f64 l d)))) w0)
73.9%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 D M)) D) M) (*.f64 (+.f64 d d) (*.f64 l (+.f64 d d)))))) w0)
72.7%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D)))) w0)
67.7%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (/.f64 h (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) l))))) w0)
24.5%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64))) (/.f64 (fabs.f64 M) d)) D)) w0)
15.7%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))) D)) w0)
0.0%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (*.f64 M D) h)) (*.f64 l (+.f64 d d))) d)) (sqrt.f64 (neg.f64 d))))
37.7%
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 (*.f64 (*.f64 (*.f64 M D) D) #s(literal 1/4 binary64)) (*.f64 (/.f64 M (*.f64 d d)) h)))) (sqrt.f64 l)))
70.9%
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))) (sqrt.f64 d)))
15.7%
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l))))))) (sqrt.f64 d)))
36.0%
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 l)))) (sqrt.f64 l)))
36.2%
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 l #s(approx (sqrt (/ 1 l)) (/.f64 (sqrt.f64 l) l)))) (sqrt.f64 l)))
81.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h (+.f64 d d)) (*.f64 D M)) (*.f64 D M)) (*.f64 l (+.f64 d d))))))
83.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) (/.f64 D (*.f64 l (+.f64 d d)))) D) M) (+.f64 d d)))))
80.6%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h M) (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D l))) (+.f64 d d)))))
74.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 #s(literal 4 binary64) d)) (/.f64 (/.f64 h l) d)))))
68.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l)))))
76.0%
(*.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)))))
84.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 h M) (/.f64 D (*.f64 l (+.f64 d d)))) (*.f64 D (/.f64 M (+.f64 d d)))))))
77.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 l (+.f64 d d)) (+.f64 d d)))))))
71.3%
(*.f64 w0 #s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) #s(literal 1 binary64)))
19.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M (*.f64 d d)) M) #s(literal -1/4 binary64)) 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 (*.f64 M (/.f64 M (*.f64 d d))) h) l)))))))
15.9%
(*.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 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))))))))
24.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (fabs.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64))) (/.f64 (fabs.f64 M) d))))))
18.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D #s(approx (sqrt (* (* -1/4 (* M (/ M (* d d)))) (/ h l))) (*.f64 M (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))))
15.7%
#s(approx (* w0 (/ (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt d))) (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l))))))) (sqrt.f64 d)))
21.7%
#s(approx (* w0 (/ (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt d))) (/.f64 (*.f64 D (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 d l))))))) (sqrt.f64 d)))
Compiler

Compiled 1 083 to 847 computations (21.8% saved)

regimes549.0ms (9.1%)

Memory
9.1MiB live, 960.7MiB allocated; 88ms collecting garbage
Counts
10 → 1
94 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(approx (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d)))) l)) w0) (sqrt.f64 l))
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 l #s(approx (sqrt (/ 1 l)) (/.f64 (sqrt.f64 l) l)))) (sqrt.f64 l)))
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 l)))
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))) (sqrt.f64 d)))
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))) (sqrt.f64 d)))
(/.f64 #s(approx (* (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) w0) (*.f64 l (*.f64 w0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l))))) (sqrt.f64 l))
(/.f64 (*.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) l)) w0) (sqrt.f64 l))
(/.f64 (*.f64 #s(approx (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) w0) (sqrt.f64 l))
Outputs
(*.f64 w0 #s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) #s(literal 1 binary64)))
Call 2
Inputs
(*.f64 w0 #s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(approx (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d)))) l)) w0) (sqrt.f64 l))
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 l #s(approx (sqrt (/ 1 l)) (/.f64 (sqrt.f64 l) l)))) (sqrt.f64 l)))
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 l)))
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))) (sqrt.f64 d)))
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))) (sqrt.f64 d)))
(/.f64 #s(approx (* (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) w0) (*.f64 l (*.f64 w0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l))))) (sqrt.f64 l))
(/.f64 (*.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) l)) w0) (sqrt.f64 l))
(/.f64 (*.f64 #s(approx (sqrt (- l (* (* (* (* (* M M) 1/4) h) D) (/ D (* d d))))) (*.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) w0) (sqrt.f64 l))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64))) (/.f64 (fabs.f64 M) d)) D)) w0)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (fabs.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64))) (/.f64 (fabs.f64 M) d))))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))) D)) w0)
(*.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) l)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) w0))
(*.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 M (*.f64 M (/.f64 h (*.f64 (*.f64 d d) l))))))))))
(*.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 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (/.f64 M (*.f64 d d)))) (/.f64 h l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D (sqrt.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M (*.f64 d d)) M) #s(literal -1/4 binary64)) h) l)))))
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 l)))) (sqrt.f64 l)))
(*.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 (*.f64 M (/.f64 M (*.f64 d d))) h) 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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (/.f64 h (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) l))))) w0)
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D)))) w0)
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D) (*.f64 (*.f64 d d) l)))) w0)
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D) (*.f64 (*.f64 l d) d)))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 l (+.f64 d d)) (+.f64 d d)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 D M)) D) M) (*.f64 (+.f64 d d) (*.f64 l (+.f64 d d)))))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) M) M) #s(literal -1/4 binary64)) h) (*.f64 (neg.f64 d) (*.f64 l d))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 d d) l) d)))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) D) M)) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 D M)) (*.f64 D M))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) 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 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d)))) l)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) d) D) (*.f64 l d)))) w0)
(*.f64 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) (/.f64 D (*.f64 d d)))) l)) w0)
(*.f64 (sqrt.f64 (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d)))) l)) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 h M) (/.f64 D (*.f64 l (+.f64 d d)))) (*.f64 D (/.f64 M (+.f64 d d)))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D (+.f64 d d)) M) h) (/.f64 (*.f64 M D) (*.f64 (+.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) (/.f64 D (*.f64 l (+.f64 d d)))) D) M) (+.f64 d d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h (+.f64 d d)) (*.f64 D M)) (*.f64 D M)) (*.f64 l (+.f64 d d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))) (*.f64 D M)) (+.f64 d d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l)) (*.f64 M D)) (+.f64 d d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 h (*.f64 D M)) (*.f64 l (+.f64 d d))))))))
(*.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 M D) D) M) (*.f64 #s(literal 4 binary64) d)) (/.f64 (/.f64 h l) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M (+.f64 d d)) D) (*.f64 (/.f64 M (+.f64 d d)) D)) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h M) (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D l))) (+.f64 d d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 D (+.f64 d d)) M) (*.f64 M D)))))))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 D D) (*.f64 d d))))) (sqrt.f64 l)))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 h M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 (*.f64 D D) (*.f64 d d))))) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 M (*.f64 (*.f64 #s(literal 1/4 binary64) M) (*.f64 h D))) (/.f64 D (*.f64 d d))))) w0) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d))))) w0) (sqrt.f64 l))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (fabs.f64 (*.f64 (/.f64 M (+.f64 d d)) D))) (fabs.f64 (*.f64 (/.f64 M (+.f64 d d)) D))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M))) (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M))))))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) (/.f64 D (*.f64 d d))) l)) (sqrt.f64 (neg.f64 l))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d))) l)) (sqrt.f64 (neg.f64 l))) w0)
(/.f64 (*.f64 (sqrt.f64 (-.f64 d (*.f64 (*.f64 (*.f64 h M) (/.f64 D (*.f64 l (+.f64 d d)))) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))))) w0) (sqrt.f64 d))
(/.f64 (*.f64 (sqrt.f64 (-.f64 d (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (*.f64 M D) h)) (*.f64 l (+.f64 d d))))) w0) (sqrt.f64 d))
(*.f64 w0 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) (/.f64 D (*.f64 d d))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) l))))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 (*.f64 (*.f64 (*.f64 M D) D) #s(literal 1/4 binary64)) (*.f64 (/.f64 M (*.f64 d d)) h)))) (sqrt.f64 l)))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 h M) (/.f64 D (*.f64 l (+.f64 d d)))) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) d)) (sqrt.f64 (neg.f64 d))))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (*.f64 M D) h)) (*.f64 l (+.f64 d d))) d)) (sqrt.f64 (neg.f64 d))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) (/.f64 D (*.f64 d d))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) w0)
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) (*.f64 D (/.f64 D d))) d))) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 l (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) h) D) D) d) d))) w0) (sqrt.f64 l))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 (+.f64 d d) l))))) (sqrt.f64 d)))
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) M) (*.f64 l (+.f64 d d)))) D))) (sqrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 (*.f64 d d) l) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) h) D) D)))) (sqrt.f64 (*.f64 (neg.f64 l) (*.f64 d d)))) w0)
(*.f64 w0 (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) h) (*.f64 D M)) (+.f64 d d)) l))) (sqrt.f64 d)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D #s(approx (sqrt (* (* -1/4 (* M (/ M (* d d)))) (/ h l))) (*.f64 M (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 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 D #s(approx (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 h (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))))))
(*.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 (*.f64 h M) M) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))))
(*.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 (*.f64 l d) d))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 D #s(approx (sqrt (neg (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)))) d))))))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d))) (/.f64 (*.f64 D (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 d l))))))) (sqrt.f64 d)))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d))) (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l))))))) (sqrt.f64 d)))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt d))) (/.f64 (*.f64 D (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 d l))))))) (sqrt.f64 d)))
#s(approx (* w0 (/ (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (sqrt d))) (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l))))))) (sqrt.f64 d)))
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l))))))) (sqrt.f64 d)))
(*.f64 w0 (/.f64 #s(approx (sqrt (- (* 1 d) (/ (/ (* (* (* (* D M) 1/2) h) (* D M)) (+ d d)) l))) (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 d l))))))) (sqrt.f64 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 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 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 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 #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 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) l)))) d)))
(*.f64 w0 (/.f64 #s(approx (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (*.f64 M (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))) (sqrt.f64 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))))))))
#s(approx (* w0 (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l))) (*.f64 M (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 l w0) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64)))))))))) (/.f64 (*.f64 w0 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (pow.f64 d #s(literal 2 binary64))))))) (sqrt.f64 l)))))
(*.f64 w0 #s(approx (/ (sqrt (- l (* (* h (* (* M M) 1/4)) (/ (* D D) (* d d))))) (sqrt l)) (*.f64 #s(literal -1 binary64) (*.f64 D (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 l (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.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 (neg.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 l)))))))
Outputs
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64))) (/.f64 (fabs.f64 M) d)) D)) w0)
(*.f64 w0 #s(approx (/ (sqrt (- (* 1 d) (* (* 1/2 (* M D)) (/ (* h (* M D)) (* (+ d d) l))))) (sqrt d)) #s(literal 1 binary64)))
Calls

30 calls:

72.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
45.0ms
(*.f64 #s(literal 2 binary64) d)
38.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
26.0ms
l
25.0ms
D
Results
AccuracySegmentsBranch
71.3%1w0
71.3%1h
71.3%1(/.f64 h l)
71.3%1D
71.3%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
71.3%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
71.3%1M
71.3%1l
71.3%1(*.f64 #s(literal 2 binary64) d)
71.3%1d
71.3%1(*.f64 M D)
71.3%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
71.3%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
71.3%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
71.3%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
89.8%3(/.f64 h l)
89.7%2(*.f64 #s(literal 2 binary64) d)
92.0%3(*.f64 M D)
89.2%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
88.8%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
92.5%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
93.5%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)))
93.9%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))))
93.9%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)))))
86.5%1w0
89.3%2M
88.4%2D
86.5%1h
89.4%2l
89.7%2d
Compiler

Compiled 3 032 to 974 computations (67.9% saved)

bsearch1.0ms (0.0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-212546613385.6082
-6.24982011175069e-55
Compiler

Compiled 33 to 33 computations (0.0% saved)

derivations75.0ms (1.2%)

Memory
16.8MiB live, 112.5MiB allocated; 6ms collecting garbage
Stop Event
fuel
Compiler

Compiled 106 to 50 computations (52.8% saved)

preprocess44.0ms (0.7%)

Memory
6.8MiB live, 100.3MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 847 to 1 216 computations (34.2% saved)

end0.0ms (0.0%)

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

Profiling

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