Henrywood and Agarwal, Equation (9a)

Time bar (total: 14.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze725.0ms (4.9%)

Memory
-5.9MiB live, 551.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.7%0.3%0%0%0%0
0%0%99.7%0.3%0%0%0%1
0%0%99.7%0.3%0%0%0%2
0%0%99.7%0.3%0%0%0%3
0%0%99.7%0.3%0%0%0%4
0%0%99.7%0.3%0%0%0%5
0%0%99.7%0.3%0%0%0%6
12.5%12.5%87.2%0.3%0%0%0%7
12.5%12.5%87.2%0.3%0%0%0%8
12.5%12.5%87.2%0.3%0%0%0%9
12.5%12.5%87.2%0.3%0%0%0%10
12.5%12.5%87.2%0.3%0%0%0%11
18.8%18.7%81%0.3%0%0%0%12
Compiler

Compiled 20 to 19 computations (5% saved)

sample2.3s (15.8%)

Memory
-119.0MiB live, 2 968.1MiB allocated
Samples
1000.0ms8 256×0valid
432.0ms2 680×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 471.0ms (46.1% of total)
ival-div: 221.0ms (21.6% of total)
ival-sqrt: 123.0ms (12% of total)
ival-pow2: 121.0ms (11.8% of total)
ival-sub: 63.0ms (6.2% of total)
exact: 10.0ms (1% of total)
ival-true: 8.0ms (0.8% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain202.0ms (1.4%)

Memory
21.7MiB live, 494.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
450-1(3.615560056922553e-159 6.518408717651512e-129 -2.1927688063978849e+136 -1.9236465576944373e-296 389828728572511740.0 2.062029326001263e-125)(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
280-1(2.0040794980081457e+51 -3.1064271528602075e-129 1.6069155821743093e-193 4.856498599252268e-141 -9.651530661699494e-150 -7.433892950259459e-51)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
220-0-(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))))
90-0-(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
00-0-D
00-0-(*.f64 #s(literal 2 binary64) d)
00-0-(/.f64 h l)
00-0-(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
00-0-d
00-0-#s(literal 1 binary64)
00-0-(*.f64 M D)
00-0-w0
00-0-(-.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)))
00-0-#s(literal 2 binary64)
00-0-l
00-0-M
00-0-h
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(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))))oflow-rescue220
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow53
(-.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)))overflow57
(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))))overflow35
(*.f64 M D)overflow29
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow32
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))overflow57
(/.f64 h l)overflow29
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n110
(*.f64 M D)overflow29
*.f64(*.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)))))n*o90
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))n*o50
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))o*u20
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow53
(*.f64 M D)overflow29
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow32
(/.f64 h l)underflow40
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))u/n10
(*.f64 M D)underflow56
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))u*o10
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))underflow122
(*.f64 M D)underflow56
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))underflow68
(/.f64 h l)overflow29
Confusion
Predicted +Predicted -
+3419
-9194
Precision
0.7906976744186046
Recall
0.6415094339622641
Confusion?
Predicted +Predicted MaybePredicted -
+34019
-90194
Precision?
0.7906976744186046
Recall?
0.6415094339622641
Freqs
test
numberfreq
0213
135
28
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
63.0ms512×0valid
Compiler

Compiled 218 to 55 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 14.0ms (40.1% of total)
ival-div: 9.0ms (25.8% of total)
ival-pow2: 5.0ms (14.3% of total)
ival-sqrt: 3.0ms (8.6% of total)
ival-sub: 2.0ms (5.7% of total)
exact: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess213.0ms (1.4%)

Memory
-27.4MiB live, 339.7MiB allocated
Algorithm
egg-herbie
Rules
5 232×lower-*.f32
5 224×lower-*.f64
5 184×lower-/.f32
5 180×lower-/.f64
1 444×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167501
1520492
21570492
34468492
01718
02618
14718
211518
382618
4455418
5786218
0802218
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 6 to 6 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify150.0ms (1%)

Memory
21.4MiB live, 287.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.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)))
cost-diff0
(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))))
cost-diff0
(*.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)))))
cost-diff5504
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Rules
5 232×lower-*.f32
5 224×lower-*.f64
5 184×lower-/.f32
5 180×lower-/.f64
1 444×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01795
02695
14795
211595
382695
4455495
5786295
0802295
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
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))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64)))
(-.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)))
(fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))
#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 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l)
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

localize71.0ms (0.5%)

Memory
-28.0MiB live, 117.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy2.1411290154136067
(*.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)))))
accuracy5.083647276155022
(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))))
accuracy6.666313955896493
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy10.487378476404345
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Samples
54.0ms256×0valid
Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 15.0ms (56.8% of total)
ival-mult: 5.0ms (18.9% of total)
ival-sqrt: 2.0ms (7.6% of total)
ival-pow2: 2.0ms (7.6% of total)
ival-sub: 1.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series77.0ms (0.5%)

Memory
32.2MiB live, 182.3MiB allocated
Counts
6 → 324
Calls
Call 1
Inputs
#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.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))))) (patch (*.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))))) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
Calls

81 calls:

TimeVariablePointExpression
6.0ms
l
@inf
(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
5.0ms
M
@0
(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
4.0ms
l
@inf
(- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))
4.0ms
l
@0
(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
3.0ms
w0
@0
(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))

simplify281.0ms (1.9%)

Memory
-4.1MiB live, 515.7MiB allocated
Algorithm
egg-herbie
Rules
10 592×lower-*.f64
10 592×lower-*.f32
8 912×lower-fma.f64
8 912×lower-fma.f32
2 750×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06288158
121898136
084867930
Stop Event
iter limit
node limit
Counts
324 → 317
Calls
Call 1
Inputs
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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1
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1
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1
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1
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1
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1
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1
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1
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
Outputs
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (*.f64 M M) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 w0 (*.f64 h (*.f64 h (pow.f64 D #s(literal 4 binary64)))))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 (*.f64 D D) h))) (*.f64 (*.f64 d d) l))) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (*.f64 M M) (fma.f64 (*.f64 M M) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 w0 (*.f64 h (*.f64 h (pow.f64 D #s(literal 4 binary64))))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 M M)) (*.f64 w0 (*.f64 h (*.f64 h h))))) (*.f64 (*.f64 l l) (*.f64 l (pow.f64 d #s(literal 6 binary64)))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 (*.f64 D D) h))) (*.f64 (*.f64 d d) l))) w0)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d)) (sqrt.f64 (/.f64 h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(*.f64 M (fma.f64 D (*.f64 (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))) (*.f64 (/.f64 (*.f64 d w0) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 l h)) #s(literal 1/2 binary64)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 M (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 M #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h))))) (fma.f64 D (*.f64 (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))) (*.f64 (/.f64 (*.f64 d w0) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 l h)) #s(literal 1/2 binary64))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 M (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 M #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h))))) (fma.f64 (/.f64 (*.f64 w0 (pow.f64 d #s(literal 5 binary64))) (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 D #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) #s(literal 1/16 binary64)) (fma.f64 D (*.f64 (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))) (*.f64 (/.f64 (*.f64 d w0) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 l h)) #s(literal 1/2 binary64)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(neg.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d)) (sqrt.f64 (/.f64 h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 D (*.f64 (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))) (*.f64 (/.f64 (*.f64 d w0) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 l h)) #s(literal 1/2 binary64)))) (neg.f64 M))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 M #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h))))) (fma.f64 D (*.f64 (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))) (*.f64 (/.f64 (*.f64 d w0) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 l h)) #s(literal 1/2 binary64))))) (neg.f64 M))
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w0
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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w0
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w0
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1
#s(literal 1 binary64)
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* 1/2 (/ (* D M) d))
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(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)

rewrite263.0ms (1.8%)

Memory
-34.3MiB live, 537.0MiB allocated
Rules
5 804×lower-*.f32
5 796×lower-*.f64
4 036×lower-fma.f64
4 036×lower-fma.f32
3 008×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01778
02678
18278
255078
3707378
0866178
Stop Event
iter limit
node limit
iter limit
Counts
6 → 689
Calls
Call 1
Inputs
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(*.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)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))))
(exp.f64 (log.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))
(/.f64 (*.f64 M D) (neg.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D (neg.f64 M)))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 d d)) (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 d #s(literal -2 binary64))) (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (*.f64 D (neg.f64 M))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d)))
(/.f64 (*.f64 D (neg.f64 M)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D (neg.f64 M))))
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) (*.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (*.f64 D (neg.f64 M)))) (*.f64 d (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 d d)))
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 d d))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (neg.f64 (*.f64 d (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))))))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) (neg.f64 d)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D))))
(/.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 #s(literal 2 binary64) d) D))
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D))
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) (*.f64 M D)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)) (/.f64 #s(literal 2 binary64) M))
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) d)
(/.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (*.f64 D (neg.f64 M))))) (neg.f64 (*.f64 d (*.f64 d #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d)) (neg.f64 d))
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 2 binary64) D)) (/.f64 d M))
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 d (*.f64 M D)))
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) d) (/.f64 #s(literal 2 binary64) (*.f64 M D)))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) D) d)
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M)) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (*.f64 D (neg.f64 M))))) (*.f64 d (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 d d)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 d d))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (*.f64 M D) #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) d) D))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) #s(literal -1 binary64)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (neg.f64 d))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64))
(/.f64 (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d))) (/.f64 #s(literal 2 binary64) M))
(/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1 binary64)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (*.f64 D (neg.f64 M)))) #s(literal 1 binary64)) (*.f64 d (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 d d)))
(/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 d d))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) #s(literal 1 binary64)) d)
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) d) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 d))
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) d) #s(literal -2 binary64))
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) (neg.f64 d)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) #s(literal -2 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d)))
(*.f64 M (pow.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d)) #s(literal 1 binary64)))
(*.f64 M (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d))))
(*.f64 M (*.f64 M (/.f64 (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d) D) (*.f64 #s(literal 2 binary64) d))))
(*.f64 M (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d)) #s(literal 1 binary64)))
(*.f64 D (*.f64 M (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d))))
(*.f64 D (*.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) d) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(*.f64 D (/.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) d) (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))))
(*.f64 (*.f64 M D) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)))
(*.f64 (*.f64 M D) (pow.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
(*.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))
(*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 #s(literal 2 binary64) d))))
(*.f64 (*.f64 M D) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
(*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(*.f64 (*.f64 M D) (/.f64 (*.f64 D (neg.f64 M)) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
(*.f64 (*.f64 M D) (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 d d))))
(*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 d (*.f64 M D))))
(*.f64 (*.f64 D (neg.f64 M)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D (neg.f64 M)))))
(*.f64 (*.f64 D (neg.f64 M)) (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(*.f64 (*.f64 D (neg.f64 M)) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 d #s(literal -2 binary64))))
(*.f64 (*.f64 D (neg.f64 M)) (/.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))))
(*.f64 (*.f64 D (neg.f64 M)) (/.f64 (*.f64 M D) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
(*.f64 (*.f64 D (neg.f64 M)) (/.f64 (*.f64 D (neg.f64 M)) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(*.f64 (*.f64 D (neg.f64 M)) (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d (*.f64 d #s(literal -2 binary64)))))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)) #s(literal 1 binary64)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d) (/.f64 d (*.f64 M D))))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)) #s(literal 1 binary64)))
(*.f64 (/.f64 D d) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
(*.f64 (/.f64 D d) (/.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) d) (/.f64 #s(literal 2 binary64) (*.f64 M D))))
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(*.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 d M) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d M) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d))))
(*.f64 (exp.f64 (log.f64 (*.f64 M D))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) d)))))
(*.f64 (exp.f64 (log.f64 (*.f64 M #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (/.f64 D d))))
(*.f64 (/.f64 (neg.f64 D) d) (/.f64 M #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 D) #s(literal 2 binary64)) (/.f64 M (neg.f64 d)))
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 D #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 M) #s(literal 2 binary64)) (/.f64 D (neg.f64 d)))
(*.f64 (/.f64 #s(literal -1 binary64) d) (*.f64 (*.f64 M D) #s(literal -1/2 binary64)))
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 (neg.f64 M) #s(literal 2 binary64)))
(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (neg.f64 M) d))
(*.f64 (/.f64 M #s(literal -1 binary64)) (/.f64 (neg.f64 D) (*.f64 #s(literal 2 binary64) d)))
(*.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 -1 binary64)) (/.f64 (neg.f64 M) (*.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 (neg.f64 D) #s(literal -1 binary64)) (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(*.f64 (/.f64 (neg.f64 M) #s(literal -1 binary64)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d))
(*.f64 (*.f64 #s(literal 1 binary64) M) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d))
(*.f64 (*.f64 #s(literal 1 binary64) D) (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))

eval284.0ms (1.9%)

Memory
14.7MiB live, 285.3MiB allocated
Compiler

Compiled 31 317 to 4 375 computations (86% saved)

prune293.0ms (2%)

Memory
21.3MiB live, 297.6MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New993131 006
Fresh000
Picked101
Done000
Total994131 007
Accuracy
90.8%
Counts
1 007 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.4%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
89.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
78.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64))))
86.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
75.4%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
75.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
81.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))))
69.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
69.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))))
15.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
63.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
70.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
64.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
Compiler

Compiled 706 to 452 computations (36% saved)

simplify234.0ms (1.6%)

Memory
-0.6MiB live, 205.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))))
cost-diff320
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)))
cost-diff384
(/.f64 (*.f64 (/.f64 D d) D) d)
cost-diff512
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
cost-diff384
(*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
cost-diff512
(fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
cost-diff0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
cost-diff0
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
cost-diff384
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
cost-diff1088
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
Rules
8 280×lower-*.f32
8 236×lower-*.f64
3 336×lower-fma.f32
3 332×lower-fma.f64
2 294×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062578
0103572
1218560
2777538
34989538
47910538
08013538
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))
(*.f64 M D)
M
D
(*.f64 d #s(literal -2 binary64))
d
#s(literal -2 binary64)
l
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) h)
#s(literal 1 binary64)
h
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
(*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
(neg.f64 (/.f64 h l))
(/.f64 h l)
h
l
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 D d)
D
d
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
M
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)))
(*.f64 M #s(literal 1/2 binary64))
M
#s(literal 1/2 binary64)
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))
(/.f64 (*.f64 (/.f64 D d) D) d)
(*.f64 (/.f64 D d) D)
(/.f64 D d)
D
d
(/.f64 h l)
h
l
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M D) (/.f64 (/.f64 (*.f64 M (*.f64 D h)) (*.f64 d #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 d l))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 M D) (/.f64 (/.f64 (*.f64 M (*.f64 D h)) (*.f64 d #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 d l))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(fma.f64 (*.f64 M D) (/.f64 (/.f64 (*.f64 M (*.f64 D h)) (*.f64 d #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 d l))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
(/.f64 (*.f64 M D) (*.f64 #s(literal -2 binary64) (*.f64 d l)))
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))
(*.f64 M D)
M
D
(*.f64 d #s(literal -2 binary64))
d
#s(literal -2 binary64)
l
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 M (*.f64 D h)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) h)
#s(literal 1 binary64)
h
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 D D))))) (*.f64 d (*.f64 d l))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 D D))))) (*.f64 d (*.f64 d l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 D D))))) (*.f64 d (*.f64 d l))))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 M (*.f64 M (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 D D))))) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h))
(*.f64 M (*.f64 M (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 D D)))))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(*.f64 (*.f64 M M) h)
(*.f64 h (*.f64 M M))
(*.f64 M M)
M
h
(*.f64 (*.f64 d d) l)
(*.f64 d (*.f64 d l))
(*.f64 d d)
d
l
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D #s(literal -1/4 binary64)) (/.f64 (*.f64 D (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 D #s(literal -1/4 binary64)) (/.f64 (*.f64 D (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (*.f64 D #s(literal -1/4 binary64)) (/.f64 (*.f64 D (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
(*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
(*.f64 (*.f64 D (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (neg.f64 (/.f64 h (*.f64 d l))))
(neg.f64 (/.f64 h l))
(/.f64 h l)
h
l
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(*.f64 D (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) d))
(/.f64 D d)
D
d
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
M
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D #s(literal -1/4 binary64)) (/.f64 (*.f64 D (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))))
(sqrt.f64 (fma.f64 (*.f64 D #s(literal -1/4 binary64)) (/.f64 (*.f64 D (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))
(fma.f64 (*.f64 D #s(literal -1/4 binary64)) (/.f64 (*.f64 D (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))
(*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) #s(literal 1/4 binary64)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)))
(*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (/.f64 (*.f64 D D) (*.f64 d d)))
(*.f64 M #s(literal 1/2 binary64))
M
#s(literal 1/2 binary64)
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 D D) (*.f64 d d)))
(/.f64 (*.f64 (/.f64 D d) D) d)
(/.f64 (*.f64 D D) (*.f64 d d))
(*.f64 (/.f64 D d) D)
(/.f64 (*.f64 D D) d)
(/.f64 D d)
D
d
(/.f64 h l)
h
l

localize242.0ms (1.6%)

Memory
-10.1MiB live, 180.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy3.493989588760935
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))
accuracy4.28491243597264
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)))
accuracy5.083647276155022
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))))
accuracy10.487378476404345
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))
accuracy2.435126632495101
(fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
accuracy5.083647276155022
(sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
accuracy8.955344422956028
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
accuracy9.543220308833083
(*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
accuracy9.579155442413901
(*.f64 (*.f64 d d) l)
accuracy9.832222665691177
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h))
accuracy12.8530221495933
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
accuracy42.82630540881992
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))
accuracy2.1411290154136067
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy18.886883152922152
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy5.083647276155022
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
accuracy6.215558079992714
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
accuracy6.666313955896493
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))
accuracy6.666313955896493
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Samples
172.0ms256×0valid
Compiler

Compiled 528 to 58 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 39.0ms (57.1% of total)
ival-div: 14.0ms (20.5% of total)
ival-sqrt: 6.0ms (8.8% of total)
ival-add: 2.0ms (2.9% of total)
ival-sub: 2.0ms (2.9% of total)
ival-pow2: 2.0ms (2.9% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series150.0ms (1%)

Memory
6.1MiB live, 233.2MiB allocated
Counts
26 → 1 380
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) (patch #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (patch (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 D d) D) d) (patch (/.f64 (*.f64 (/.f64 D d) D) d) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (patch (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)) (patch (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) (taylor -inf l) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor 0 M) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor 0 M) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor 0 M) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor 0 M) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor inf M) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor inf M) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor inf M) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor inf M) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor -inf M) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor -inf M) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor -inf M) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor -inf M) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor 0 D) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor 0 D) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor 0 D) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor 0 D) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor inf D) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor inf D) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor inf D) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor inf D) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor -inf D) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor -inf D) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor -inf D) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor -inf D) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor 0 d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor 0 d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor 0 d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor 0 d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor inf d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor inf d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor inf d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor inf d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
Calls

345 calls:

TimeVariablePointExpression
7.0ms
d
@inf
(/ (/ (* M D) (* 2 d)) (/ 1 h))
2.0ms
D
@-inf
(* w0 (sqrt (- 1 (* (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (/ h l)))))
1.0ms
M
@0
(/ (/ (* M D) (* 2 d)) (/ 1 h))
1.0ms
D
@0
(/ (/ (* M D) (* 2 d)) (/ 1 h))
1.0ms
h
@0
(* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4)))

simplify390.0ms (2.6%)

Memory
25.3MiB live, 584.0MiB allocated
Algorithm
egg-herbie
Rules
8 330×lower-*.f64
8 330×lower-*.f32
6 416×lower-fma.f64
6 416×lower-fma.f32
4 596×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066435893
1229135813
0830634798
Stop Event
iter limit
node limit
Counts
1 380 → 1 345
Calls
Call 1
Inputs
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
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(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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w0
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w0
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w0
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
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w0
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1
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(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
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(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
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w0
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w0
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
Outputs
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 M h))) d)
(* -1/2 (/ (* D M) (* d l)))
(*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M (*.f64 d l))))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M (*.f64 d l))))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M (*.f64 d l))))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M (*.f64 d l))))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M (*.f64 d l))))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M (*.f64 d l))))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M (*.f64 d l))))
(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
(*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M (*.f64 d l))))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M (*.f64 d l))))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M (*.f64 d l))))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M (*.f64 d l))))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M (*.f64 d l))))
(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
(*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M (*.f64 d l))))
(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
(*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M (*.f64 d l))))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M (*.f64 d l))))
(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
(*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M (*.f64 d l))))
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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w0
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w0
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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w0
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(fma.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D (*.f64 M M)) D) (*.f64 l (*.f64 d d))) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 h (pow.f64 M #s(literal 4 binary64)))) (pow.f64 D #s(literal 4 binary64))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l)))) #s(literal 1 binary64))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(fma.f64 h (fma.f64 h (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 M #s(literal 4 binary64))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l))) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 h (pow.f64 M #s(literal 6 binary64)))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (*.f64 l (*.f64 l l))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M M)) D)) (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D M) (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(*.f64 h (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h))))) (*.f64 (*.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (*.f64 D M) (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 d (*.f64 d d)) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (pow.f64 h #s(literal 5 binary64))))) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 (*.f64 (*.f64 M (*.f64 M M)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h))))) (*.f64 (*.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (*.f64 D M) (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 d (*.f64 d d)) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (pow.f64 h #s(literal 5 binary64))))) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 (*.f64 (*.f64 M (*.f64 M M)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h))))) (*.f64 (*.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (*.f64 D M) (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 (pow.f64 D #s(literal 5 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 7 binary64)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (/.f64 (*.f64 M (sqrt.f64 #s(literal -1 binary64))) d)) (sqrt.f64 (/.f64 h l)))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h)))) (/.f64 (*.f64 d (sqrt.f64 #s(literal -1 binary64))) (*.f64 D M)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M (sqrt.f64 #s(literal -1 binary64))) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (neg.f64 h))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d (*.f64 d d)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 M (*.f64 M M)))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (pow.f64 h #s(literal 5 binary64))))) (fma.f64 (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h)))) (/.f64 (*.f64 d (sqrt.f64 #s(literal -1 binary64))) (*.f64 D M)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M (sqrt.f64 #s(literal -1 binary64))) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) (neg.f64 h))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d (*.f64 d d)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 M (*.f64 M M)))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (pow.f64 h #s(literal 5 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 D (/.f64 (*.f64 M (sqrt.f64 #s(literal -1 binary64))) d))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 D #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h)))) (/.f64 (*.f64 d (sqrt.f64 #s(literal -1 binary64))) (*.f64 D M)))))) (neg.f64 h))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D M) (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D M) (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/.f64 (fma.f64 (*.f64 l l) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (/.f64 d (*.f64 (*.f64 D M) (sqrt.f64 #s(literal -1/4 binary64))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d (*.f64 d d)) (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h)))))) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 (*.f64 (*.f64 M (*.f64 M M)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D M) (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/.f64 (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (pow.f64 h #s(literal 5 binary64))))) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (pow.f64 D #s(literal 5 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d d))) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 (*.f64 (*.f64 M (*.f64 M M)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 l (*.f64 l l)) h) (*.f64 h h)))))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D M) (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))) l)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 l (*.f64 d d))) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) (pow.f64 M #s(literal 4 binary64))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) (pow.f64 M #s(literal 4 binary64))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 h (*.f64 h h)) (pow.f64 M #s(literal 6 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D (*.f64 M M)) D) h)) (*.f64 l (*.f64 d d))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (*.f64 h h) (pow.f64 M #s(literal 4 binary64)))) (*.f64 l (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 D (*.f64 M M)) D) h)) (*.f64 d d))) l))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 D (*.f64 M M)) D) h)) (*.f64 d d)) (/.f64 (fma.f64 #s(literal -1/1024 binary64) (*.f64 (pow.f64 D #s(literal 6 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 h h)) (pow.f64 M #s(literal 6 binary64))) (*.f64 l (pow.f64 d #s(literal 6 binary64))))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) (pow.f64 M #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) l)) l))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D D))) (*.f64 d d))

rewrite263.0ms (1.8%)

Memory
8.5MiB live, 446.5MiB allocated
Rules
5 906×lower-/.f32
5 888×lower-/.f64
3 414×lower-*.f32
3 372×lower-*.f64
2 568×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062459
0103465
1333389
22940387
08840374
Stop Event
iter limit
node limit
iter limit
Counts
26 → 1 110
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
(*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))
(/.f64 (*.f64 (/.f64 D d) D) d)
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h))
(*.f64 (*.f64 d d) l)
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)) (*.f64 M D))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (*.f64 (log.f64 h) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) h)) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal -1 binary64) h)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) h)) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal -1 binary64) h)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))) (/.f64 (*.f64 M D) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))))
(neg.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal -1 binary64) h)))
(/.f64 (*.f64 M D) (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 d (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)) (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 d (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) h))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))) (neg.f64 (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) d) (*.f64 D (*.f64 M #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)) (*.f64 (*.f64 M D) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)) (*.f64 (neg.f64 (*.f64 M D)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (/.f64 #s(literal 1 binary64) h)) (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 (*.f64 M D) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 (neg.f64 (*.f64 M D)) h)))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) h))))
(/.f64 h (/.f64 d (*.f64 D (*.f64 M #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) h))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)) (*.f64 M D))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 d (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) h))))
(/.f64 (neg.f64 (*.f64 M D)) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(/.f64 (neg.f64 (*.f64 M D)) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (neg.f64 h) (neg.f64 (/.f64 d (*.f64 D (*.f64 M #s(literal 1/2 binary64))))))
(/.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) h) d))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 d (/.f64 #s(literal 1 binary64) h)))
(/.f64 (neg.f64 (neg.f64 (*.f64 M D))) (neg.f64 (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 M D))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) d)))
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) h) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) h) d)
(/.f64 (/.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) h)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 M D)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h))))
(/.f64 (neg.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 d (/.f64 #s(literal 1 binary64) h))))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) h)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 M D)) h)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) h)) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) h))) (*.f64 d #s(literal -2 binary64)))
(pow.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)) (*.f64 M D)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 d (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
(*.f64 M (/.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 M (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) h))
(*.f64 M (/.f64 D (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(*.f64 D (/.f64 M (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h))
(*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)))
(*.f64 h (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (neg.f64 h))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) h)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D d)) #s(literal -1 binary64)))
(*.f64 (/.f64 M (/.f64 #s(literal 1 binary64) h)) (/.f64 D (*.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 D (/.f64 #s(literal 1 binary64) h)) (/.f64 M (*.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 M #s(literal 1 binary64)) (/.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (*.f64 M D) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 M D)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D (*.f64 #s(literal 2 binary64) d))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 M D)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (neg.f64 (*.f64 M D))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) d))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 d l) #s(literal -2 binary64)) (*.f64 M D))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) l))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 l)) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) l))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 l))) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) l))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 l (*.f64 #s(literal 2 binary64) d))) (/.f64 (*.f64 M D) (*.f64 l (*.f64 #s(literal 2 binary64) d))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (neg.f64 (*.f64 (*.f64 d l) #s(literal -2 binary64)))))
(neg.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) l))
(/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (neg.f64 (neg.f64 (neg.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d l) #s(literal -2 binary64)) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)) l))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 d l) #s(literal -2 binary64)) (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)) l) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (*.f64 #s(literal 2 binary64) d)) (neg.f64 (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l #s(literal -2 binary64)) (/.f64 (*.f64 M D) d)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d l) #s(literal -2 binary64)) (*.f64 (*.f64 M D) #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 (neg.f64 (*.f64 M D)) (/.f64 #s(literal 1 binary64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 M D) d) (/.f64 #s(literal 1 binary64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 (*.f64 M D) l)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
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(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))) (neg.f64 l))
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(/.f64 (neg.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 D D) (neg.f64 d)))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 D D) (neg.f64 d)) (*.f64 M #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 d)))
(pow.f64 (/.f64 d (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 D D) d))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 d (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) (/.f64 d D)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 d D) (/.f64 d (*.f64 D (*.f64 M #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 M (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D D) (*.f64 d d))))
(*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d))
(*.f64 (/.f64 D d) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (*.f64 D D) (*.f64 d d))))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 D D) (*.f64 d d)))
(*.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 M #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (*.f64 M #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D D) (*.f64 d d))) M)
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 D D) d)) (/.f64 #s(literal 1 binary64) d))
(*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) M) #s(literal 1/2 binary64))

eval482.0ms (3.3%)

Memory
29.4MiB live, 679.6MiB allocated
Compiler

Compiled 81 167 to 5 750 computations (92.9% saved)

prune454.0ms (3.1%)

Memory
-13.3MiB live, 871.1MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New2 445102 455
Fresh628
Picked235
Done000
Total2 453152 468
Accuracy
90.8%
Counts
2 468 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.8%
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d l) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
89.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))))
86.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) l) #s(literal 1 binary64))))
84.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 h (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64))))
75.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
78.5%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))))
69.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))))
17.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))))
16.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M D) (*.f64 M D))) h) (*.f64 (*.f64 d d) l)))))
16.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))))
19.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))))))
19.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M D) (*.f64 M D))) d) (/.f64 h (*.f64 d l))))))
63.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
70.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
64.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
Compiler

Compiled 734 to 465 computations (36.6% saved)

simplify236.0ms (1.6%)

Memory
-29.3MiB live, 275.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))))))
cost-diff384
(*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))
cost-diff0
(/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))))
cost-diff0
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))))
cost-diff0
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l))
cost-diff0
(*.f64 D D)
cost-diff0
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))))
cost-diff384
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
cost-diff384
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))
Rules
8 540×lower-*.f32
8 488×lower-*.f64
3 702×lower-/.f32
3 688×lower-/.f64
1 736×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066720
0109720
1237720
2878705
35928705
47880705
08001705
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))
(*.f64 M D)
M
D
(*.f64 d #s(literal -2 binary64))
d
#s(literal -2 binary64)
l
(*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
h
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)
(*.f64 D D)
D
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l))
(*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))
#s(literal -1/8 binary64)
(*.f64 h (*.f64 M (*.f64 M w0)))
h
(*.f64 M (*.f64 M w0))
M
(*.f64 M w0)
w0
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
(*.f64 (*.f64 d l) d)
(*.f64 d l)
d
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D)
(*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64)))
(*.f64 M (*.f64 M h))
M
(*.f64 M h)
h
(*.f64 D #s(literal -1/4 binary64))
D
#s(literal -1/4 binary64)
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))))
(*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))
(/.f64 (*.f64 M (*.f64 M h)) d)
(*.f64 M (*.f64 M h))
M
(*.f64 M h)
h
d
(/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))
(*.f64 D (*.f64 D #s(literal -1/4 binary64)))
D
(*.f64 D #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 d l)
l
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M D) (/.f64 (*.f64 D (*.f64 M h)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 M D) (/.f64 (*.f64 D (*.f64 M h)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))
(fma.f64 (*.f64 M D) (/.f64 (*.f64 D (*.f64 M h)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
(/.f64 (*.f64 M D) (*.f64 #s(literal -2 binary64) (*.f64 d l)))
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))
(*.f64 M D)
M
D
(*.f64 d #s(literal -2 binary64))
d
#s(literal -2 binary64)
l
(*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)
(/.f64 (*.f64 D (*.f64 M h)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
h
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (*.f64 D (*.f64 w0 (*.f64 M (*.f64 M h))))) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) w0))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)
(fma.f64 (*.f64 D (*.f64 D (*.f64 w0 (*.f64 M (*.f64 M h))))) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) w0)
(*.f64 D D)
D
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h)))) (*.f64 d (*.f64 d l)))
(*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))
(*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))))
#s(literal -1/8 binary64)
(*.f64 h (*.f64 M (*.f64 M w0)))
(*.f64 w0 (*.f64 M (*.f64 M h)))
h
(*.f64 M (*.f64 M w0))
(*.f64 w0 (*.f64 M M))
M
(*.f64 M w0)
(*.f64 w0 M)
w0
(*.f64 (*.f64 d d) l)
(*.f64 d (*.f64 d l))
(*.f64 d d)
d
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 D (*.f64 h (*.f64 D #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 d l))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 D (*.f64 h (*.f64 D #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 d l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 D (*.f64 h (*.f64 D #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 d l))))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d))
(/.f64 (*.f64 M (*.f64 M (*.f64 D (*.f64 h (*.f64 D #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h))
(*.f64 M (*.f64 M (*.f64 D (*.f64 h (*.f64 D #s(literal -1/4 binary64))))))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
(*.f64 (*.f64 D D) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(*.f64 (*.f64 M M) h)
(*.f64 M (*.f64 M h))
(*.f64 M M)
M
h
(*.f64 (*.f64 d l) d)
(*.f64 d (*.f64 d l))
(*.f64 d l)
d
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 D (*.f64 h (*.f64 D #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 d l))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 D (*.f64 h (*.f64 D #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 d l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 D (*.f64 h (*.f64 D #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 d l))))
(/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 M (*.f64 M (*.f64 D (*.f64 h (*.f64 D #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D)
(*.f64 M (*.f64 M (*.f64 D (*.f64 h (*.f64 D #s(literal -1/4 binary64))))))
(*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64)))
(*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 M (*.f64 M h))))
(*.f64 M (*.f64 M h))
M
(*.f64 M h)
h
(*.f64 D #s(literal -1/4 binary64))
D
#s(literal -1/4 binary64)
(*.f64 (*.f64 d d) l)
(*.f64 d (*.f64 d l))
(*.f64 d d)
d
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 D (*.f64 h (*.f64 D #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 d l))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 D (*.f64 h (*.f64 D #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 d l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 D (*.f64 h (*.f64 D #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 d l))))
(*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))
(/.f64 (*.f64 M (*.f64 M (*.f64 D (*.f64 h (*.f64 D #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 d l)))
(/.f64 (*.f64 M (*.f64 M h)) d)
(*.f64 M (*.f64 M h))
M
(*.f64 M h)
h
d
(/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))
(/.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 d l))
(*.f64 D (*.f64 D #s(literal -1/4 binary64)))
(*.f64 (*.f64 D D) #s(literal -1/4 binary64))
D
(*.f64 D #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 d l)
l

localize188.0ms (1.3%)

Memory
5.7MiB live, 354.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy6.328013983680282
(/.f64 (*.f64 M (*.f64 M h)) d)
accuracy8.45408482774133
(*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))
accuracy11.223355075270748
(/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))
accuracy42.82630540881992
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))))
accuracy5.083647276155022
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l))))
accuracy9.57915544241391
(*.f64 (*.f64 d d) l)
accuracy12.8530221495933
(/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l))
accuracy42.82630540881992
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))
accuracy8.953230576649577
(*.f64 (*.f64 M M) h)
accuracy9.832222665691177
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h))
accuracy12.8530221495933
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d))
accuracy42.82630540881992
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))
accuracy8.580169885237591
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)
accuracy9.380238403457398
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
accuracy9.57915544241391
(*.f64 (*.f64 d d) l)
accuracy10.9295494504193
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l))
accuracy5.083647276155022
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64)))
accuracy6.215558079992714
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
accuracy6.666313955896493
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))
accuracy6.666313955896493
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Samples
111.0ms256×0valid
Compiler

Compiled 543 to 57 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 53.0ms (67.1% of total)
ival-div: 16.0ms (20.3% of total)
ival-sqrt: 3.0ms (3.8% of total)
ival-add: 2.0ms (2.5% of total)
ival-pow2: 2.0ms (2.5% of total)
ival-sub: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series163.0ms (1.1%)

Memory
13.0MiB live, 317.2MiB allocated
Counts
27 → 1 440
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0) (patch (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0) #<representation binary64>) () ())
#s(alt (*.f64 D D) (patch (*.f64 D D) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)) (patch (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (patch (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M M) h) (patch (*.f64 (*.f64 M M) h) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())
Outputs
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#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor -inf D) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor 0 d) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor 0 d) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor 0 d) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor 0 d) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor inf d) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor inf d) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor inf d) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor inf d) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor 0 l) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor 0 l) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor 0 l) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor 0 l) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor inf l) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor inf l) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor inf l) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor inf l) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor -inf l) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor -inf l) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor -inf l) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow D 2) (* d l))) (taylor -inf l) (#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor 0 M) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor 0 M) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor 0 M) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor 0 M) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor inf M) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor inf M) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor inf M) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor inf M) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor -inf M) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor -inf M) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor -inf M) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor -inf M) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor 0 h) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor 0 h) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor 0 h) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor 0 h) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor inf h) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor inf h) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor inf h) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor inf h) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor -inf h) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor -inf h) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor -inf h) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor -inf h) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor 0 d) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor 0 d) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor 0 d) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor 0 d) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor inf d) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor inf d) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor inf d) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor inf d) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 M (*.f64 M h)) d) (patch (/.f64 (*.f64 M (*.f64 M h)) d) #<representation binary64>) () ())) ())
Calls

360 calls:

TimeVariablePointExpression
16.0ms
h
@-inf
(* (* M M) h)
12.0ms
d
@0
(+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0)
2.0ms
d
@inf
(/ (* (* -1/4 (* D D)) (* (* M M) h)) (* (* d l) d))
1.0ms
h
@0
(/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))
1.0ms
w0
@0
(+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0)

simplify375.0ms (2.5%)

Memory
0.9MiB live, 528.7MiB allocated
Algorithm
egg-herbie
Rules
8 440×lower-*.f64
8 440×lower-*.f32
6 720×lower-fma.f64
6 720×lower-fma.f32
4 616×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067835987
1234135915
0845534883
Stop Event
iter limit
node limit
Counts
1 440 → 1 398
Calls
Call 1
Inputs
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
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1
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1
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1
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1
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1
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1
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w0
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(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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1
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
1
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
1
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
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(* -1/4 (* (pow D 2) (* (pow M 2) h)))
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(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
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(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
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(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(* -1/4 (/ (pow D 2) (* d l)))
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
(/ (* (pow M 2) h) d)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) (*.f64 M M))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) (*.f64 M M))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) (*.f64 M M))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) (*.f64 M M))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) (*.f64 M M))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) (*.f64 M M))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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w0
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w0
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w0
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#s(literal 1 binary64)
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w0
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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w0
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w0
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) M) d) (sqrt.f64 (/.f64 h l)))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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w0
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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w0
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w0
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1
#s(literal 1 binary64)
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w0
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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w0
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w0
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w0
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w0
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1
#s(literal 1 binary64)
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(*.f64 (*.f64 M M) h)
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(*.f64 (*.f64 M M) h)
(* (pow M 2) h)
(*.f64 (*.f64 M M) h)
(* (pow M 2) h)
(*.f64 (*.f64 M M) h)
(* (pow M 2) h)
(*.f64 (*.f64 M M) h)
(* (pow M 2) h)
(*.f64 (*.f64 M M) h)
(* (pow M 2) h)
(*.f64 (*.f64 M M) h)
(* (pow M 2) h)
(*.f64 (*.f64 M M) h)
(* (pow M 2) h)
(*.f64 (*.f64 M M) h)
(* (pow M 2) h)
(*.f64 (*.f64 M M) h)
(* (pow M 2) h)
(*.f64 (*.f64 M M) h)
(* (pow M 2) h)
(*.f64 (*.f64 M M) h)
(* (pow M 2) h)
(*.f64 (*.f64 M M) h)
(* (pow M 2) h)
(*.f64 (*.f64 M M) h)
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(* -1/4 (/ (pow D 2) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)

rewrite420.0ms (2.8%)

Memory
8.0MiB live, 433.2MiB allocated
Rules
6 018×lower-/.f32
6 004×lower-/.f64
4 182×lower-*.f32
4 130×lower-*.f64
2 616×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066561
0109561
1350546
22524520
08900507
Stop Event
iter limit
node limit
iter limit
Counts
27 → 1 133
Calls
Call 1
Inputs
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)
(*.f64 D D)
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l))
(*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))
(*.f64 (*.f64 d d) l)
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h))
(*.f64 (*.f64 M M) h)
(/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))
(/.f64 (*.f64 M (*.f64 M h)) d)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (/.f64 h l)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 M h))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 M h))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 M h))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (/.f64 h l)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 M h))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (/.f64 h l)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 M h))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (/.f64 h l)) (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 M h))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (/.f64 h l)) (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 M h))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 M h))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64))))) (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 M h))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 M h))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64))))) (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (*.f64 D (*.f64 M h)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64)))) (/.f64 (*.f64 D (*.f64 M h)) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64)))) (*.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)) #s(literal 1 binary64))
(fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 h (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 d #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (/.f64 h l)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 M h))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (/.f64 h l) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))
(fma.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
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(*.f64 (*.f64 (*.f64 M (*.f64 M h)) #s(literal -1/4 binary64)) (*.f64 D D))
(*.f64 (*.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) h) (*.f64 M M))
(*.f64 (*.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 M h)) M)
(*.f64 M (*.f64 M h))
(*.f64 h (*.f64 M M))
(*.f64 (*.f64 M M) h)
(*.f64 (*.f64 M h) M)
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d l) (*.f64 D (*.f64 D #s(literal -1/4 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 d l))) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (neg.f64 (*.f64 d l))))
(neg.f64 (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (neg.f64 (*.f64 d l))))
(neg.f64 (/.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) (*.f64 d l)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d l) (*.f64 D (*.f64 D #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 d l) (*.f64 D (*.f64 D #s(literal -1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d l) (*.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) l)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (/.f64 D d) (*.f64 D #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 D (/.f64 (*.f64 D #s(literal -1/4 binary64)) l))))
(/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))
(/.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) (neg.f64 (*.f64 d l)))
(/.f64 (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) d) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d l) (*.f64 D (*.f64 D #s(literal -1/4 binary64))))))
(/.f64 (*.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) #s(literal 1 binary64)) (*.f64 d l))
(/.f64 (neg.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64))) (neg.f64 (neg.f64 (*.f64 d l))))
(/.f64 (neg.f64 (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) d)) (neg.f64 l))
(/.f64 (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) l) d)
(/.f64 (*.f64 (/.f64 D d) (*.f64 D #s(literal -1/4 binary64))) l)
(/.f64 (*.f64 D (/.f64 (*.f64 D #s(literal -1/4 binary64)) l)) d)
(/.f64 (neg.f64 (*.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 d l)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (neg.f64 (*.f64 d l)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) d))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) l)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (/.f64 D d) (*.f64 D #s(literal -1/4 binary64)))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 D (/.f64 (*.f64 D #s(literal -1/4 binary64)) l))) (neg.f64 d))
(pow.f64 (/.f64 (*.f64 d l) (*.f64 D (*.f64 D #s(literal -1/4 binary64)))) #s(literal -1 binary64))
(*.f64 D (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))
(*.f64 (*.f64 D D) (/.f64 #s(literal -1/4 binary64) (*.f64 d l)))
(*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 d l))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 D D) (*.f64 d l)))
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 #s(literal 1 binary64) (*.f64 d l))))
(*.f64 (*.f64 D #s(literal -1/4 binary64)) (/.f64 D (*.f64 d l)))
(*.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 D (/.f64 #s(literal 1 binary64) (*.f64 d l))))
(*.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 d l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 d l))))
(*.f64 (/.f64 D d) (/.f64 (*.f64 D #s(literal -1/4 binary64)) l))
(*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) l) (/.f64 D d))
(*.f64 (/.f64 D l) (/.f64 (*.f64 D #s(literal -1/4 binary64)) d))
(*.f64 (/.f64 D l) (pow.f64 (/.f64 d (*.f64 D #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)) (*.f64 D (*.f64 D #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 D (*.f64 D #s(literal -1/4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) d))
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 l (*.f64 D (*.f64 D #s(literal -1/4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) d) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) D)
(*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) d) (/.f64 D l))
(*.f64 (/.f64 (*.f64 D D) d) (/.f64 #s(literal -1/4 binary64) l))
(*.f64 (/.f64 #s(literal -1/4 binary64) l) (/.f64 (*.f64 D D) d))
(*.f64 (/.f64 (*.f64 D D) l) (/.f64 #s(literal -1/4 binary64) d))
(*.f64 (/.f64 #s(literal -1/4 binary64) d) (/.f64 (*.f64 D D) l))
(*.f64 (pow.f64 (/.f64 d #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 D D)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 l (*.f64 D D)) #s(literal -1 binary64)) (pow.f64 (/.f64 d #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d (*.f64 D #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 D l))
(*.f64 (pow.f64 (/.f64 l #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 d (*.f64 D D)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d (*.f64 D D)) #s(literal -1 binary64)) (pow.f64 (/.f64 l #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 M (*.f64 M h)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (*.f64 M (*.f64 M h)) (neg.f64 d)))
(neg.f64 (/.f64 (*.f64 M (*.f64 M h)) (neg.f64 d)))
(neg.f64 (/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) d))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 M (*.f64 M h))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (*.f64 M (*.f64 M h))))))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 M (*.f64 M h)) #s(literal 1 binary64))))
(/.f64 (*.f64 M (*.f64 M h)) d)
(/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (neg.f64 d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 M (*.f64 M h)))))
(/.f64 (*.f64 (*.f64 M (*.f64 M h)) #s(literal 1 binary64)) d)
(/.f64 (neg.f64 (*.f64 (*.f64 M M) (neg.f64 h))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (*.f64 M (*.f64 M h)) #s(literal 1 binary64))) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 M M) (neg.f64 h)))) (neg.f64 (neg.f64 (neg.f64 d))))
(pow.f64 (/.f64 d (*.f64 M (*.f64 M h))) #s(literal -1 binary64))
(*.f64 M (/.f64 (*.f64 M h) d))
(*.f64 h (/.f64 (*.f64 M M) d))
(*.f64 h (*.f64 (*.f64 M M) (/.f64 #s(literal 1 binary64) d)))
(*.f64 #s(literal 1 binary64) (*.f64 M (/.f64 (*.f64 M h) d)))
(*.f64 (*.f64 M M) (/.f64 h d))
(*.f64 (*.f64 M M) (*.f64 h (/.f64 #s(literal 1 binary64) d)))
(*.f64 (*.f64 M h) (/.f64 M d))
(*.f64 (*.f64 M (*.f64 M h)) (/.f64 #s(literal 1 binary64) d))
(*.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 M (*.f64 M h)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 M (*.f64 M h))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 M h) d) M)

eval323.0ms (2.2%)

Memory
51.8MiB live, 634.7MiB allocated
Compiler

Compiled 77 733 to 3 875 computations (95% saved)

prune457.0ms (3.1%)

Memory
2.4MiB live, 578.7MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New2 565122 577
Fresh527
Picked505
Done213
Total2 577152 592
Accuracy
91.5%
Counts
2 592 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.5%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))))
20.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h (*.f64 D #s(literal -1/4 binary64))))) (*.f64 d l)) d))))
19.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M h) D)) (*.f64 D #s(literal -1/4 binary64))) (*.f64 (*.f64 d l) d)))))
19.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h (*.f64 D #s(literal -1/4 binary64)))) D)) (*.f64 (*.f64 d l) d)))))
20.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) D)))))
22.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M (/.f64 (*.f64 M h) d)) (/.f64 D d)) (/.f64 (*.f64 D #s(literal -1/4 binary64)) l)))))
18.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))))
21.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))))
63.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
70.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
74.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) D w0))
70.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) d) w0))
70.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
68.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d (*.f64 d l)))) w0))
14.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
Compiler

Compiled 768 to 476 computations (38% saved)

simplify181.0ms (1.2%)

Memory
-12.8MiB live, 189.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d))))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))))
cost-diff384
(*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))
cost-diff0
(*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))))
cost-diff0
(*.f64 D D)
cost-diff0
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
cost-diff0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
cost-diff0
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D))
cost-diff0
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))
cost-diff0
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l)))
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
cost-diff0
#s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l)))
cost-diff0
(fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))))
Rules
6 798×lower-*.f32
6 748×lower-*.f64
4 118×lower-/.f32
4 104×lower-/.f64
1 844×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080826
0120826
1279826
21105822
34319822
45865822
57474822
08022820
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))
#s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))
(*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M))))
#s(literal -1/4 binary64)
(*.f64 D (*.f64 h (*.f64 M M)))
D
(*.f64 h (*.f64 M M))
h
(*.f64 M M)
M
(*.f64 d l)
d
l
(/.f64 D d)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0))
#s(literal -1/8 binary64)
(*.f64 (*.f64 (*.f64 M M) h) w0)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
w0
(*.f64 D D)
D
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(*.f64 D D)
D
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h))
#s(literal -1/8 binary64)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))
(*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))
(*.f64 M (*.f64 M h))
M
(*.f64 M h)
h
(/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))
(*.f64 D (*.f64 D #s(literal -1/4 binary64)))
D
(*.f64 D #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 d (*.f64 d l))
d
(*.f64 d l)
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))
(*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d))))
D
(*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))
(/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l))
(*.f64 D #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 d l)
d
l
(*.f64 M (/.f64 (*.f64 M h) d))
M
(/.f64 (*.f64 M h) d)
(*.f64 M h)
h
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 h (*.f64 D (*.f64 M (*.f64 M #s(literal -1/4 binary64))))) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 h (*.f64 D (*.f64 M (*.f64 M #s(literal -1/4 binary64))))) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 h (*.f64 D (*.f64 M (*.f64 M #s(literal -1/4 binary64))))) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))
#s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l)))
#s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 h (*.f64 D (*.f64 M (*.f64 M #s(literal -1/4 binary64))))) (*.f64 l d)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))
(/.f64 (*.f64 h (*.f64 D (*.f64 M (*.f64 M #s(literal -1/4 binary64))))) (*.f64 l d))
(*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M))))
(*.f64 h (*.f64 D (*.f64 M (*.f64 M #s(literal -1/4 binary64)))))
#s(literal -1/4 binary64)
(*.f64 D (*.f64 h (*.f64 M M)))
D
(*.f64 h (*.f64 M M))
h
(*.f64 M M)
M
(*.f64 d l)
(*.f64 l d)
d
l
(/.f64 D d)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))))) (*.f64 d (*.f64 l d)))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l)))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))))) (*.f64 d (*.f64 l d))))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 D (*.f64 D (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))))) (*.f64 d (*.f64 l d)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D))
(*.f64 D (*.f64 D (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))))))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0))
(*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))))
#s(literal -1/8 binary64)
(*.f64 (*.f64 (*.f64 M M) h) w0)
(*.f64 w0 (*.f64 h (*.f64 M M)))
(*.f64 (*.f64 M M) h)
(*.f64 h (*.f64 M M))
(*.f64 M M)
M
h
w0
(*.f64 D D)
D
(*.f64 (*.f64 d d) l)
(*.f64 d (*.f64 l d))
(*.f64 d d)
d
l
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (/.f64 (*.f64 D D) (*.f64 d (*.f64 l d))) #s(literal 1 binary64))))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (/.f64 (*.f64 D D) (*.f64 d (*.f64 l d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (/.f64 (*.f64 D D) (*.f64 d (*.f64 l d))) #s(literal 1 binary64))
(*.f64 D D)
D
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 l d)))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h))
(*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))
#s(literal -1/8 binary64)
(*.f64 (*.f64 M M) h)
(*.f64 h (*.f64 M M))
(*.f64 M M)
M
h
(*.f64 (*.f64 d d) l)
(*.f64 d (*.f64 l d))
(*.f64 d d)
d
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 D (*.f64 h (*.f64 D (*.f64 M (*.f64 M #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 l d))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 D (*.f64 h (*.f64 D (*.f64 M (*.f64 M #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 l d)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 D (*.f64 h (*.f64 D (*.f64 M (*.f64 M #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 l d))))
(*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))
(/.f64 (*.f64 D (*.f64 h (*.f64 D (*.f64 M (*.f64 M #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 l d)))
(*.f64 M (*.f64 M h))
(*.f64 h (*.f64 M M))
M
(*.f64 M h)
(*.f64 h M)
h
(/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))
(*.f64 D (*.f64 D (/.f64 #s(literal -1/4 binary64) (*.f64 d (*.f64 l d)))))
(*.f64 D (*.f64 D #s(literal -1/4 binary64)))
D
(*.f64 D #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 d (*.f64 d l))
(*.f64 d (*.f64 l d))
d
(*.f64 d l)
(*.f64 l d)
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 D (*.f64 h (*.f64 D (*.f64 M (*.f64 M #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 l d))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d))))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 D (*.f64 h (*.f64 D (*.f64 M (*.f64 M #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 l d)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 D (*.f64 h (*.f64 D (*.f64 M (*.f64 M #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 l d))))
(*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d))))
(/.f64 (*.f64 D (*.f64 h (*.f64 D (*.f64 M (*.f64 M #s(literal -1/4 binary64)))))) (*.f64 d (*.f64 l d)))
D
(*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))
(/.f64 (*.f64 h (*.f64 D (*.f64 M (*.f64 M #s(literal -1/4 binary64))))) (*.f64 d (*.f64 l d)))
(/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l))
(/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 l d))
(*.f64 D #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 d l)
(*.f64 l d)
d
l
(*.f64 M (/.f64 (*.f64 M h) d))
(/.f64 (*.f64 h (*.f64 M M)) d)
M
(/.f64 (*.f64 M h) d)
(/.f64 (*.f64 h M) d)
(*.f64 M h)
(*.f64 h M)
h

localize210.0ms (1.4%)

Memory
12.1MiB live, 352.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy5.5393204168197645
(/.f64 (*.f64 M h) d)
accuracy6.021850030324513
(*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))
accuracy6.49084418630835
(/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l))
accuracy42.82630540881992
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))
accuracy5.083647276155022
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))))
accuracy12.342027541331172
(*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))
accuracy14.569887709536017
(/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))
accuracy42.82630540881992
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))
accuracy8.953230576649574
(*.f64 (*.f64 M M) h)
accuracy9.57915544241391
(*.f64 (*.f64 d d) l)
accuracy10.183946502681888
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
accuracy12.515840918940558
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
accuracy9.57915544241391
(*.f64 (*.f64 d d) l)
accuracy10.024876207609157
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D))
accuracy13.632312266664119
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))
accuracy42.479160179795024
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l)))
accuracy3.6810054343450656
(*.f64 D (*.f64 h (*.f64 M M)))
accuracy5.083647276155022
(sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))
accuracy8.953230576649577
(*.f64 h (*.f64 M M))
accuracy9.152837812312947
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))
Samples
118.0ms256×0valid
Compiler

Compiled 568 to 68 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 51.0ms (65.2% of total)
ival-div: 15.0ms (19.2% of total)
ival-add: 3.0ms (3.8% of total)
ival-sqrt: 3.0ms (3.8% of total)
ival-pow2: 2.0ms (2.6% of total)
ival-sub: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series420.0ms (2.9%)

Memory
-100.2MiB live, 288.3MiB allocated
Counts
29 → 1 548
Calls
Call 1
Inputs
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (patch #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l)))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (patch #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (patch (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) #<representation binary64>) () ())
#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) (patch #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 D D) (patch (*.f64 D D) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))) (patch (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d))) (patch (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d))))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d))))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d))))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l)) (patch (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l)) #<representation binary64>) () ())
#s(alt (*.f64 h (*.f64 M M)) (patch (*.f64 h (*.f64 M M)) #<representation binary64>) () ())
#s(alt (*.f64 D (*.f64 h (*.f64 M M))) (patch (*.f64 D (*.f64 h (*.f64 M M))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M M) h) (patch (*.f64 (*.f64 M M) h) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) (patch (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (patch (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())
Outputs
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor -inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor -inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor -inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor -inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt w0 (taylor 0 h) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1/4 (/ D (* d l))) (taylor 0 l) (#s(alt (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (patch (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ D (* d l))) (taylor 0 l) (#s(alt (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (patch (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ D (* d l))) (taylor 0 l) (#s(alt (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (patch (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ D (* d l))) (taylor 0 l) (#s(alt (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (patch (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ D (* d l))) (taylor inf l) (#s(alt (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (patch (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ D (* d l))) (taylor inf l) (#s(alt (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (patch (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ D (* d l))) (taylor inf l) (#s(alt (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (patch (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ D (* d l))) (taylor inf l) (#s(alt (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (patch (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ D (* d l))) (taylor -inf l) (#s(alt (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (patch (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ D (* d l))) (taylor -inf l) (#s(alt (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (patch (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ D (* d l))) (taylor -inf l) (#s(alt (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (patch (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ D (* d l))) (taylor -inf l) (#s(alt (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (patch (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor 0 M) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor 0 M) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor 0 M) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor 0 M) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor inf M) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor inf M) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor inf M) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor inf M) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor -inf M) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor -inf M) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor -inf M) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor -inf M) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor 0 h) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor 0 h) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor 0 h) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor 0 h) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor inf h) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor inf h) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor inf h) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor inf h) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor -inf h) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor -inf h) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor -inf h) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor -inf h) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor 0 d) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor 0 d) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor 0 d) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor 0 d) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor inf d) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor inf d) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor inf d) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor inf d) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 M h) d) (patch (/.f64 (*.f64 M h) d) #<representation binary64>) () ())) ())
Calls

387 calls:

TimeVariablePointExpression
3.0ms
l
@inf
(/ (* D (* D -1/4)) (* d (* d l)))
2.0ms
M
@-inf
(* (/ (* D -1/4) (* d l)) (* M (/ (* M h) d)))
1.0ms
h
@0
(* (/ (* D -1/4) (* d l)) (* M (/ (* M h) d)))
1.0ms
d
@0
(/ (* -1/8 (* (* M M) h)) (* (* d d) l))
1.0ms
M
@0
(* (/ (* D -1/4) (* d l)) (* M (/ (* M h) d)))

simplify353.0ms (2.4%)

Memory
12.7MiB live, 513.5MiB allocated
Algorithm
egg-herbie
Rules
8 584×lower-*.f64
8 584×lower-*.f32
7 304×lower-fma.f64
7 304×lower-fma.f32
4 704×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069737526
1239337358
0860536311
Stop Event
iter limit
node limit
Counts
1 548 → 1 506
Calls
Call 1
Inputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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1
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1
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1
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1
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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w0
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1
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(pow D 2)
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w0
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w0
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
1
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
1
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
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1
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1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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1
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1
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1
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1
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1
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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ (pow D 2) (* (pow d 2) l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(* -1/4 (/ D (* d l)))
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
Outputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) w0) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 w0 (*.f64 M M))) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (pow.f64 M #s(literal 4 binary64))) (*.f64 w0 h)) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l)))) w0)
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 h (fma.f64 h (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 w0 (pow.f64 M #s(literal 4 binary64)))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l))) (/.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (*.f64 w0 h) (pow.f64 M #s(literal 6 binary64))))) (*.f64 (*.f64 l (pow.f64 d #s(literal 6 binary64))) (*.f64 l l)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 M M))) (*.f64 (*.f64 d d) l))) w0)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(*.f64 h (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 w0 d)) (*.f64 (*.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) D) (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(*.f64 h (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 (*.f64 M (*.f64 M M)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 w0 d)) (*.f64 (*.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) D) (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(*.f64 h (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 (*.f64 M (*.f64 M M)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (pow.f64 h #s(literal 5 binary64))))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 w0 (pow.f64 d #s(literal 5 binary64)))) (*.f64 (pow.f64 D #s(literal 5 binary64)) (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 7 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 w0 d)) (*.f64 (*.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) D) (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1 binary64)))))) d) (sqrt.f64 (/.f64 h l)))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(neg.f64 (*.f64 h (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (/.f64 (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1 binary64))))) d)) (/.f64 (*.f64 (*.f64 d (*.f64 w0 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h))))) (*.f64 D M)))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l)))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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w0
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w0
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1
#s(literal 1 binary64)
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) w0) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (*.f64 D D) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 D D)) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 w0 (*.f64 h h))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l))))) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 D (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h))))) (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (*.f64 M (*.f64 M M)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 w0 d)) (*.f64 (*.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 D (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 d (*.f64 d d)))) (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (*.f64 M (*.f64 M M)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 w0 (pow.f64 d #s(literal 5 binary64)))) (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 w0 d)) (*.f64 (*.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (neg.f64 D) (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h))))) (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (*.f64 M (*.f64 M M)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 w0 d)) (*.f64 (*.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h))))) (neg.f64 D))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 w0 (*.f64 d d))) (*.f64 (*.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h)) (*.f64 D (*.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (*.f64 d d) (fma.f64 (*.f64 d d) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 w0 (*.f64 d d)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) (*.f64 (pow.f64 D #s(literal 5 binary64)) (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) w0) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 (*.f64 M (*.f64 M M)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h)))))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) w0) (*.f64 (*.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h)))) (*.f64 D (*.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) w0) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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(*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l)))
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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w0
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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w0
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(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) w0) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) w0) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
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(fma.f64 (*.f64 D D) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 D D)) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 w0 (*.f64 h h))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l))))) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 D (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h))))) (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (*.f64 M (*.f64 M M)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 w0 d)) (*.f64 (*.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (neg.f64 D) (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 w0 (*.f64 d d))) (*.f64 (*.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h)) (*.f64 D (*.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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w0
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w0
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w0
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(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) w0) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
#s(literal 1 binary64)
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D M) (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l)))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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w0
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
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1
#s(literal 1 binary64)
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))
(/ (* M h) d)
(*.f64 M (/.f64 h d))

rewrite281.0ms (1.9%)

Memory
9.1MiB live, 372.6MiB allocated
Rules
4 770×lower-*.f32
4 720×lower-*.f64
4 570×lower-/.f32
4 556×lower-/.f64
2 108×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080666
0120666
1401666
22913650
08067648
Stop Event
iter limit
node limit
iter limit
Counts
29 → 692
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))
#s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(*.f64 D D)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))
(*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))
(*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))
(*.f64 h (*.f64 M M))
(*.f64 D (*.f64 h (*.f64 M M)))
(*.f64 (*.f64 d d) l)
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 M M) h)
(/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))
(/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l))
(/.f64 (*.f64 M h) d)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))) w0)
(exp.f64 (*.f64 (log1p.f64 (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (/.f64 D d))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d)))) (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))))) (*.f64 d d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (/.f64 D d)))) (fma.f64 (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))))) (/.f64 (*.f64 D (*.f64 D D)) (*.f64 d (*.f64 d d))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (/.f64 D d) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d)))) (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))))) (*.f64 d d)) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))))) (/.f64 (*.f64 D (*.f64 D D)) (*.f64 d (*.f64 d d))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d)))) (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))))) (*.f64 d d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (/.f64 D d))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))))) (/.f64 (*.f64 D (*.f64 D D)) (*.f64 d (*.f64 d d))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (/.f64 D d)) (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))))) (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))))) d))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d)))) (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))))) (*.f64 d d)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (/.f64 D d) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))))) (/.f64 (*.f64 D (*.f64 D D)) (*.f64 d (*.f64 d d))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d)))) (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))))) (*.f64 d d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (/.f64 D d)))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d)))) (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))))) (*.f64 d d)) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (/.f64 D d) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d)))) (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))))) (*.f64 d d)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (/.f64 D d)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))))) (/.f64 (*.f64 D (*.f64 D D)) (*.f64 d (*.f64 d d))) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d)))) (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))))) (*.f64 d d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (/.f64 D d)))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d)))) (*.f64 D #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))))) (*.f64 d d)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (/.f64 D d) #s(literal -1 binary64)))))
(pow.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
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(/.f64 (*.f64 (*.f64 h M) #s(literal 1 binary64)) d)
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(*.f64 M (/.f64 h d))
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(*.f64 (*.f64 h M) (/.f64 #s(literal 1 binary64) d))
(*.f64 (*.f64 h (neg.f64 M)) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 h M))
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(*.f64 (/.f64 h d) M)

eval857.0ms (5.8%)

Memory
4.2MiB live, 384.9MiB allocated
Compiler

Compiled 67 829 to 3 478 computations (94.9% saved)

prune729.0ms (4.9%)

Memory
-8.5MiB live, 798.8MiB allocated
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New2 261112 272
Fresh459
Picked235
Done011
Total2 267202 287
Accuracy
91.5%
Counts
2 287 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.4%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64)))) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
78.5%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))))
19.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M h) D)) (*.f64 D #s(literal -1/4 binary64))) (*.f64 (*.f64 d l) d)))))
19.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h (*.f64 D #s(literal -1/4 binary64)))) D)) (*.f64 (*.f64 d l) d)))))
22.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M (/.f64 (*.f64 M h) d)) (/.f64 D d)) (/.f64 (*.f64 D #s(literal -1/4 binary64)) l)))))
18.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))))
22.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D #s(literal -1/4 binary64)) M) (*.f64 l d)) (*.f64 h M)) d)))))
21.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))))
69.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 l d)) (/.f64 h d)) #s(literal 1 binary64))))
71.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d))) #s(literal 1 binary64))))
14.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* (* d d) l))) 1) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))))
70.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
74.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) D w0))
68.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d (*.f64 d l)))) w0))
13.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h #s(literal -1/8 binary64))) (*.f64 w0 (*.f64 M M))) (*.f64 (*.f64 d d) l))))
15.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 h M) M) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
15.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d))))
14.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D)))
16.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l d)) (/.f64 D d))))
16.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) d) (/.f64 D (*.f64 l d)))))
Compiler

Compiled 1 525 to 593 computations (61.1% saved)

regimes217.0ms (1.5%)

Memory
23.6MiB live, 371.5MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 h M) M) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h #s(literal -1/8 binary64))) (*.f64 w0 (*.f64 M M))) (*.f64 (*.f64 d d) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* (* d d) l))) 1) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64)))) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) d) (/.f64 D (*.f64 l d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l d)) (/.f64 D d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) d) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 l d)) (/.f64 h d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h (*.f64 D #s(literal -1/4 binary64)))) D)) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M D) (*.f64 M D))) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M h) D)) (*.f64 D #s(literal -1/4 binary64))) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D #s(literal -1/4 binary64)) M) (*.f64 l d)) (*.f64 h M)) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M D) (*.f64 M D))) d) (/.f64 h (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) D)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h (*.f64 D #s(literal -1/4 binary64))))) (*.f64 d l)) d))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d l) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M (/.f64 (*.f64 M h) d)) (/.f64 D d)) (/.f64 (*.f64 D #s(literal -1/4 binary64)) l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 h (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.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
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))))
Calls

15 calls:

31.0ms
w0
17.0ms
l
16.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
15.0ms
h
14.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
89.2%1w0
89.2%1M
89.2%1D
89.2%1h
89.2%1l
89.2%1d
89.2%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)))))
89.2%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))))
89.2%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)))
89.2%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
89.2%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
89.2%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
89.2%1(*.f64 M D)
89.2%1(*.f64 #s(literal 2 binary64) d)
89.2%1(/.f64 h l)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes214.0ms (1.5%)

Memory
-9.6MiB live, 353.3MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 h M) M) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h #s(literal -1/8 binary64))) (*.f64 w0 (*.f64 M M))) (*.f64 (*.f64 d d) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* (* d d) l))) 1) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64)))) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) d) (/.f64 D (*.f64 l d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l d)) (/.f64 D d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) d) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 l d)) (/.f64 h d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h (*.f64 D #s(literal -1/4 binary64)))) D)) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M D) (*.f64 M D))) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M h) D)) (*.f64 D #s(literal -1/4 binary64))) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D #s(literal -1/4 binary64)) M) (*.f64 l d)) (*.f64 h M)) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M D) (*.f64 M D))) d) (/.f64 h (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) D)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h (*.f64 D #s(literal -1/4 binary64))))) (*.f64 d l)) d))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d l) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M (/.f64 (*.f64 M h) d)) (/.f64 D d)) (/.f64 (*.f64 D #s(literal -1/4 binary64)) l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 h (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) l) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 h (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64))))
Calls

15 calls:

42.0ms
(/.f64 h l)
17.0ms
(*.f64 M D)
15.0ms
h
14.0ms
M
14.0ms
l
Results
AccuracySegmentsBranch
86.9%1h
86.9%1l
86.9%1w0
86.9%1M
88.8%2d
86.9%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)))))
86.9%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))))
86.9%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)))
86.9%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
86.9%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
86.9%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
86.9%1(*.f64 M D)
88.8%2(*.f64 #s(literal 2 binary64) d)
86.9%1(/.f64 h l)
86.9%1D
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes170.0ms (1.2%)

Memory
10.9MiB live, 332.3MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 h M) M) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h #s(literal -1/8 binary64))) (*.f64 w0 (*.f64 M M))) (*.f64 (*.f64 d d) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* (* d d) l))) 1) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64)))) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) d) (/.f64 D (*.f64 l d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l d)) (/.f64 D d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) d) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 l d)) (/.f64 h d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h (*.f64 D #s(literal -1/4 binary64)))) D)) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M D) (*.f64 M D))) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M h) D)) (*.f64 D #s(literal -1/4 binary64))) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D #s(literal -1/4 binary64)) M) (*.f64 l d)) (*.f64 h M)) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M D) (*.f64 M D))) d) (/.f64 h (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) D)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h (*.f64 D #s(literal -1/4 binary64))))) (*.f64 d l)) d))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d l) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M (/.f64 (*.f64 M h) d)) (/.f64 D d)) (/.f64 (*.f64 D #s(literal -1/4 binary64)) l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 h (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 h (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64))))
Calls

15 calls:

16.0ms
w0
13.0ms
d
12.0ms
M
12.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
12.0ms
l
Results
AccuracySegmentsBranch
84.1%1w0
84.1%1h
86.0%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
87.6%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
87.6%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
87.7%2D
84.1%1l
87.7%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
86.6%2M
87.6%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
87.6%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
88.0%2(*.f64 M D)
85.7%2(/.f64 h l)
84.1%1d
84.1%1(*.f64 #s(literal 2 binary64) d)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes21.0ms (0.1%)

Memory
-0.9MiB live, 37.9MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 h M) M) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h #s(literal -1/8 binary64))) (*.f64 w0 (*.f64 M M))) (*.f64 (*.f64 d d) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* (* d d) l))) 1) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64)))) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) d) (/.f64 D (*.f64 l d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l d)) (/.f64 D d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) d) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 l d)) (/.f64 h d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h (*.f64 D #s(literal -1/4 binary64)))) D)) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M D) (*.f64 M D))) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M h) D)) (*.f64 D #s(literal -1/4 binary64))) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D #s(literal -1/4 binary64)) M) (*.f64 l d)) (*.f64 h M)) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M D) (*.f64 M D))) d) (/.f64 h (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) D)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h (*.f64 D #s(literal -1/4 binary64))))) (*.f64 d l)) d))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d l) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (neg (/ h l)) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d l))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M (/.f64 (*.f64 M h) d)) (/.f64 D d)) (/.f64 (*.f64 D #s(literal -1/4 binary64)) l)))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D #s(literal -1/4 binary64)) M) (*.f64 l d)) (*.f64 h M)) d)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

2 calls:

10.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
9.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
87.7%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
86.2%3(*.f64 M D)
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes51.0ms (0.3%)

Memory
22.6MiB live, 99.5MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 h M) M) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h #s(literal -1/8 binary64))) (*.f64 w0 (*.f64 M M))) (*.f64 (*.f64 d d) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* (* d d) l))) 1) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64)))) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) d) (/.f64 D (*.f64 l d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l d)) (/.f64 D d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) d) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 l d)) (/.f64 h d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h (*.f64 D #s(literal -1/4 binary64)))) D)) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M D) (*.f64 M D))) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M h) D)) (*.f64 D #s(literal -1/4 binary64))) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

7 calls:

9.0ms
D
7.0ms
M
7.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
7.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
6.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
81.4%2M
86.2%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
86.2%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
83.4%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
83.4%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
81.0%2D
86.2%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 104 to 77 computations (26% saved)

regimes98.0ms (0.7%)

Memory
-5.0MiB live, 113.7MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 h M) M) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h #s(literal -1/8 binary64))) (*.f64 w0 (*.f64 M M))) (*.f64 (*.f64 d d) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* (* d d) l))) 1) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64)))) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) d) (/.f64 D (*.f64 l d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l d)) (/.f64 D d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) d) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 l d)) (/.f64 h d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h (*.f64 D #s(literal -1/4 binary64)))) D)) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M D) (*.f64 M D))) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M h) D)) (*.f64 D #s(literal -1/4 binary64))) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 (*.f64 d d) l)))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M h) D)) (*.f64 D #s(literal -1/4 binary64))) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

8 calls:

27.0ms
l
24.0ms
d
9.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
7.0ms
(*.f64 #s(literal 2 binary64) d)
7.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Results
AccuracySegmentsBranch
74.9%1w0
74.9%1l
80.4%3(/.f64 h l)
74.9%1h
76.9%2d
76.9%2(*.f64 #s(literal 2 binary64) d)
82.6%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
85.4%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 89 to 69 computations (22.5% saved)

regimes8.0ms (0.1%)

Memory
-21.6MiB live, 16.5MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 h M) M) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h #s(literal -1/8 binary64))) (*.f64 w0 (*.f64 M M))) (*.f64 (*.f64 d d) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* (* d d) l))) 1) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64)))) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) d) (/.f64 D (*.f64 l d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l d)) (/.f64 D d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) d) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 l d)) (/.f64 h d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h (*.f64 D #s(literal -1/4 binary64)))) D)) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M D) (*.f64 M D))) h) (*.f64 (*.f64 d d) l)))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h (*.f64 D #s(literal -1/4 binary64)))) D)) (*.f64 (*.f64 d l) d)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

7.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
85.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes23.0ms (0.2%)

Memory
3.8MiB live, 44.5MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 h M) M) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h #s(literal -1/8 binary64))) (*.f64 w0 (*.f64 M M))) (*.f64 (*.f64 d d) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* (* d d) l))) 1) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64)))) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) d) (/.f64 D (*.f64 l d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l d)) (/.f64 D d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) d) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 l d)) (/.f64 h d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

4 calls:

7.0ms
(*.f64 M D)
5.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
5.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
5.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Results
AccuracySegmentsBranch
81.7%2(*.f64 M D)
84.2%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
84.2%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
84.2%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 71 to 51 computations (28.2% saved)

regimes17.0ms (0.1%)

Memory
2.8MiB live, 41.5MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 h M) M) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h #s(literal -1/8 binary64))) (*.f64 w0 (*.f64 M M))) (*.f64 (*.f64 d d) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* (* d d) l))) 1) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64)))) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) d) (/.f64 D (*.f64 l d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l d)) (/.f64 D d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) d) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 l d)) (/.f64 h d)) #s(literal 1 binary64))))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

3 calls:

6.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
5.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
5.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
82.8%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
82.8%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
83.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes15.0ms (0.1%)

Memory
-2.0MiB live, 35.8MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 h M) M) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h #s(literal -1/8 binary64))) (*.f64 w0 (*.f64 M M))) (*.f64 (*.f64 d d) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* (* d d) l))) 1) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64)))) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) d) (/.f64 D (*.f64 l d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l d)) (/.f64 D d))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) D w0))
Calls

3 calls:

6.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
4.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
4.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
82.8%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
82.8%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
82.5%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes22.0ms (0.1%)

Memory
10.9MiB live, 48.1MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 h M) M) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h #s(literal -1/8 binary64))) (*.f64 w0 (*.f64 M M))) (*.f64 (*.f64 d d) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* (* d d) l))) 1) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d (*.f64 d l)))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

6 calls:

7.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
3.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
3.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
3.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
3.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
82.4%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
81.4%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)))))
81.4%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
81.4%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
81.6%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
81.6%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Compiler

Compiled 114 to 82 computations (28.1% saved)

regimes3.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 h M) M) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h #s(literal -1/8 binary64))) (*.f64 w0 (*.f64 M M))) (*.f64 (*.f64 d d) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* (* d d) l))) 1) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 h M) M) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
82.0%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes2.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d))))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
81.7%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes20.0ms (0.1%)

Memory
-2.1MiB live, 41.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

9 calls:

6.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
2.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
2.0ms
(*.f64 M D)
2.0ms
M
2.0ms
D
Results
AccuracySegmentsBranch
74.5%2D
76.9%2M
80.8%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)))))
80.9%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))))
80.9%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)))
80.4%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
80.4%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
77.2%2(*.f64 M D)
80.9%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 137 to 101 computations (26.3% saved)

regimes22.0ms (0.1%)

Memory
-24.0MiB live, 52.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

15 calls:

3.0ms
D
2.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
1.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms
(*.f64 #s(literal 2 binary64) d)
1.0ms
l
Results
AccuracySegmentsBranch
70.7%1D
70.7%1h
70.7%1w0
70.7%1l
70.7%1M
70.7%1d
70.7%1(*.f64 #s(literal 2 binary64) d)
70.7%1(*.f64 M D)
70.7%1(/.f64 h l)
70.7%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
70.7%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
70.7%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
70.7%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
70.7%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
70.7%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 183 to 140 computations (23.5% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.318979569858232e+103
2.4411601072937965e+104
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2401943990621143e-284
4.076918470621622e-281
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-34521996238.61641
-5.082203591921112e-32
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-34521996238.61641
-5.082203591921112e-32
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-6.176792857145682e+57
-8.073622829824775e+51
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-6.176792857145682e+57
-8.073622829824775e+51
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-6.176792857145682e+57
-8.073622829824775e+51
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-34521996238.61641
-5.082203591921112e-32
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3322412267276926e+34
1.757411534960499e+41
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.5059704323979805e+110
-1.3773160461375604e+104
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.174422937366319e+208
-2.2727125273891706e+144
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.142138164117222e+228
-7.291403589043933e+225
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.291403589043933e+225
-4.0503737793363565e+224
Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify14.0ms (0.1%)

Memory
-5.1MiB live, 33.5MiB allocated
Algorithm
egg-herbie
Rules
114×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01791011
12461011
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 50000000000000000095783754286733436810797756363259600557640175729968966210199437798061807255409016176640 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) l) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 h (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 M D) #s(literal 6696928794914171/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 h (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D #s(literal -1/4 binary64)) M) (*.f64 l d)) (*.f64 h M)) d))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 (/.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 d l)) (*.f64 M (/.f64 (*.f64 M h) d))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999719059744987206815407898577214256598482944 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M h) D)) (*.f64 D #s(literal -1/4 binary64))) (*.f64 (*.f64 d l) d))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999719059744987206815407898577214256598482944 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h (*.f64 D #s(literal -1/4 binary64)))) D)) (*.f64 (*.f64 d l) d))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999719059744987206815407898577214256598482944 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 19999999999999998911504619740856320 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) D w0)))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000000004713873502834051166649906559011376372625982507853656333693232346519661872318489902052462821376 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d (*.f64 d l)))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -39999999999999999274522793232437927931709096867935142887106699178796552426157699755594402638812387301974178466090785427220113457766571369317254986200788577015443174643939683291829245142929903446291800142118912 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 h M) M) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1999999999999999849018243044950493730357344400572780826747280381855341553749413802001734949168592635584204214430794595428034515961615595786147287705984016922538333948379351112283825553624346394974278461006826844740393498298023936 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) h) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 50000000000000000095783754286733436810797756363259600557640175729968966210199437798061807255409016176640 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) l) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 h (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 50000000000000000095783754286733436810797756363259600557640175729968966210199437798061807255409016176640 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (/.f64 (*.f64 M D) (*.f64 #s(literal -2 binary64) (*.f64 d l)))) #s(literal 1 binary64)))))
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(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999719059744987206815407898577214256598482944 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 M h)) (/.f64 (*.f64 D (*.f64 D #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
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(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 w0 M)) (*.f64 d l))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 19999999999999998911504619740856320 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) D w0)))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 19999999999999998911504619740856320 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 w0 M))))) (*.f64 d (*.f64 d l))) D w0)))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000000004713873502834051166649906559011376372625982507853656333693232346519661872318489902052462821376 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d (*.f64 d l)))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000000004713873502834051166649906559011376372625982507853656333693232346519661872318489902052462821376 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 w0 M)) (*.f64 d (*.f64 d l)))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -39999999999999999274522793232437927931709096867935142887106699178796552426157699755594402638812387301974178466090785427220113457766571369317254986200788577015443174643939683291829245142929903446291800142118912 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 h M) M) w0)) (*.f64 D D)) (*.f64 (*.f64 d d) l)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -39999999999999999274522793232437927931709096867935142887106699178796552426157699755594402638812387301974178466090785427220113457766571369317254986200788577015443174643939683291829245142929903446291800142118912 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 M (*.f64 M h))))) (*.f64 l (*.f64 d d))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1999999999999999849018243044950493730357344400572780826747280381855341553749413802001734949168592635584204214430794595428034515961615595786147287705984016922538333948379351112283825553624346394974278461006826844740393498298023936 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 D D)) (*.f64 (*.f64 l d) d)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1999999999999999849018243044950493730357344400572780826747280381855341553749413802001734949168592635584204214430794595428034515961615595786147287705984016922538333948379351112283825553624346394974278461006826844740393498298023936 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 w0 (*.f64 h (*.f64 M M))) D)) (*.f64 l (*.f64 d d))) D))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 D (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 w0 (*.f64 h (*.f64 M M))))) (*.f64 l (*.f64 d d)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

soundness1.3s (8.9%)

Memory
55.9MiB live, 1 314.0MiB allocated
Rules
10 592×lower-*.f64
10 592×lower-*.f32
8 912×lower-fma.f64
8 912×lower-fma.f32
8 440×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080666
0120666
1401666
22913650
08067648
066561
0109561
1350546
22524520
08900507
06288158
121898136
084867930
062459
0103465
1333389
22940387
08840374
067835987
1234135915
0845534883
01778
02678
18278
255078
3707378
0866178
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 446 to 739 computations (48.9% saved)

preprocess209.0ms (1.4%)

Memory
-42.8MiB live, 290.1MiB allocated
Remove

(sort M D)

(negabs w0)

(abs M)

(abs D)

(abs d)

Compiler

Compiled 1 754 to 688 computations (60.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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