Henrywood and Agarwal, Equation (9a)

Time bar (total: 13.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze536.0ms (3.9%)

Memory
13.6MiB live, 1 008.9MiB allocated
Algorithm
1×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)

sample2.0s (14.7%)

Memory
40.8MiB live, 3 052.0MiB allocated
Samples
1.0s8 256×0valid
293.0ms2 758×0invalid
Precisions
Click to see histograms. Total time spent on operations: 919.0ms
ival-mult: 431.0ms (46.9% of total)
ival-div: 180.0ms (19.6% of total)
ival-pow2: 108.0ms (11.8% of total)
ival-sqrt: 91.0ms (9.9% of total)
ival-sub: 84.0ms (9.1% of total)
exact: 11.0ms (1.2% of total)
ival-true: 8.0ms (0.9% of total)
ival-assert: 5.0ms (0.5% of total)
Bogosity

explain175.0ms (1.3%)

Memory
-23.4MiB live, 343.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
341(1.7931616783503363e+63 4.7370023244660694e-164 1.4498822272702253e+47 -3.337915858484969e+182 -2.1051648008924564e+117 -3.040034005679877e+77)1(-1.0182910760512107e-247 -5.3384787525911266e+200 8.861676539880058e-203 4.882152667490605e-289 -7.661323835376928e+30 -5.347408019967776e-63)(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
260-0-(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))))
240-4(1.728275888936973e+96 8.404124495190521e-216 2.5599887556376205e-104 8.761432027683111e-182 1.2170053996542289e+231 -1.7788168621198946e-248)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
30-0-(*.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-rescue260
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow56
↳(-.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)))overflow51
↳(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))))overflow25
↳(*.f64 M D)overflow19
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow26
↳(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))overflow51
↳(/.f64 h l)overflow18
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))n*o110
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n50
↳(*.f64 M D)overflow19
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))o*u40
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow56
↳(*.f64 M D)overflow19
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow26
↳(/.f64 h l)underflow36
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))u*o30
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))underflow99
↳(*.f64 M D)underflow37
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))underflow54
↳(/.f64 h l)overflow18
*.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*o30
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))u/n20
↳(*.f64 M D)underflow37
Confusion
Predicted +Predicted -
+367
-11202
Precision
0.7659574468085106
Recall
0.8372093023255814
Confusion?
Predicted +Predicted MaybePredicted -
+3607
-110202
Precision?
0.7659574468085106
Recall?
0.8372093023255814
Freqs
test
numberfreq
0209
140
27
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
59.0ms512×0valid
Compiler

Compiled 218 to 55 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 12.0ms (37.7% of total)
ival-div: 8.0ms (25.1% of total)
ival-pow2: 5.0ms (15.7% of total)
ival-sqrt: 3.0ms (9.4% of total)
ival-sub: 2.0ms (6.3% of total)
exact: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess170.0ms (1.2%)

Memory
-0.7MiB live, 154.3MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×iter limit
1×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 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)
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
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶83.6%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify114.0ms (0.8%)

Memory
14.8MiB live, 92.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
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)))))
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
1×iter limit
1×node limit
1×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 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)
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 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #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 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #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 h l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) 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 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

localize59.0ms (0.4%)

Memory
-16.1MiB live, 67.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.7538634492600391
(*.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)))))
accuracy5.19272375228924
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy6.078308811907151
(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))))
accuracy8.10616494350706
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Samples
50.0ms256×0valid
Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 18.0ms (61.8% of total)
ival-mult: 5.0ms (17.2% of total)
ival-sqrt: 2.0ms (6.9% of total)
ival-pow2: 2.0ms (6.9% of total)
ival-sub: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series137.0ms (1%)

Memory
3.4MiB live, 121.2MiB allocated
Counts
5 → 288
Calls
Call 1
Inputs
#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 (* 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 (-.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 (* 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 (-.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 (* 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 (-.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 (* 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 (-.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 (* 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 (-.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 (* 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 (-.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 (* 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 (-.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>) () ())) ())
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#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 (-.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>) () ())) ())
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#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

18 calls:

TimeVariablePointExpression
23.0ms
h
@-inf
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
23.0ms
D
@0
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
6.0ms
l
@0
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
5.0ms
h
@inf
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms
D
@inf
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))

simplify315.0ms (2.3%)

Memory
4.4MiB live, 234.8MiB allocated
Algorithm
1×egg-herbie
Rules
10 584×lower-*.f64
10 584×lower-*.f32
8 912×lower-fma.f64
8 912×lower-fma.f32
2 748×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06267690
121857668
084757462
Stop Event
1×iter limit
1×node limit
Counts
288 → 281
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
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1
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w0
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1
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1
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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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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)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* (/ (* 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)))))))
(* (/ (* 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)))))))
(* -1/4 (/ (* (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)))
(* 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 (* (/ (* 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))))))))
(* -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))))))))
(* -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)))
(* 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))
(* (/ (* 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)
(* (/ (* 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)
(* -1/4 (/ (* (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))
(* 1/4 (/ (* (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))
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)))))))
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 (* -1/4 (/ (* (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)))
(* 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))
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)))))))
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 (* -1/4 (/ (* (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)))
(* 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))
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 (*.f64 d d)) (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) l) (/.f64 h l)) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))))) h 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D d) (/.f64 D d))) (/.f64 (*.f64 (*.f64 M M) w0) l) (*.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) h) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 w0 (pow.f64 d #s(literal 4 binary64))) (/.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 l l))))) h)) h w0)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 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)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 h (pow.f64 d #s(literal 4 binary64))) (/.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 l l))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M l) (/.f64 M (*.f64 d d))))) h #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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D d) (/.f64 D d))) (/.f64 (*.f64 M M) l) (*.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) h) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)))) h)) h #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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* 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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w0
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1
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rewrite226.0ms (1.6%)

Memory
13.3MiB live, 208.8MiB 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
01769
02669
18269
255069
3704769
0863569
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 411
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)))))
(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
(*.f64 (*.f64 w0 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 h l) (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))))))
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) (-.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
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(/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 d))
(/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 D d) (neg.f64 M)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) M)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 D M)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 D d) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) M))
(/.f64 (*.f64 M #s(literal 1 binary64)) (*.f64 d (/.f64 #s(literal 2 binary64) D)))
(/.f64 (*.f64 #s(literal 1 binary64) M) (*.f64 d (/.f64 #s(literal 2 binary64) D)))
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) #s(literal -1 binary64)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) d) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal -2 binary64))
(/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D))) (exp.f64 (log.f64 d)))
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 M) D))) (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d))))
(/.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 (*.f64 d #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64))
(/.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) D) M))
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M))
(/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) D))
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (neg.f64 d))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 d M) D)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) d)
(/.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (*.f64 D M) #s(literal -1 binary64)))
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M))
(/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 d D))
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d M) D))
(/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64)))
(/.f64 M (*.f64 d (/.f64 #s(literal 2 binary64) D)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 D d) M)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) d)) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)))

eval151.0ms (1.1%)

Memory
3.6MiB live, 202.9MiB allocated
Compiler

Compiled 20 481 to 2 777 computations (86.4% saved)

prune139.0ms (1%)

Memory
-16.5MiB live, 305.7MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New67517692
Fresh000
Picked101
Done000
Total67617693
Accuracy
92.9%
Counts
693 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
87.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) l) (neg.f64 h) #s(literal 1 binary64))))
▶90.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
81.4%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
▶85.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
89.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
75.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) d) l) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 h #s(literal -1 binary64)))))))
▶82.7%
(*.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) (pow.f64 h #s(literal -1 binary64)))))))
70.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 h #s(literal -1 binary64)))))))
53.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))))
▶64.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
55.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d))))))
16.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
24.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 h (*.f64 l (*.f64 d d))))) (*.f64 M M)))))
52.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
▶68.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
49.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
Compiler

Compiled 964 to 648 computations (32.8% saved)

simplify119.0ms (0.9%)

Memory
27.2MiB live, 182.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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) (pow.f64 h #s(literal -1 binary64))))))
cost-diff0
(*.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) (pow.f64 h #s(literal -1 binary64)))))))
cost-diff128
(-.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) (pow.f64 h #s(literal -1 binary64)))))
cost-diff6848
(/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))
cost-diff0
(*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
cost-diff0
(fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
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
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
cost-diff6848
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64)))
Rules
8 170×lower-*.f32
8 134×lower-*.f64
3 420×lower-/.f32
3 402×lower-/.f64
1 508×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060597
0100600
1202600
2636578
34002576
46867576
08233576
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l)
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(*.f64 (*.f64 D M) #s(literal -1/2 binary64))
(*.f64 D M)
D
M
#s(literal -1/2 binary64)
d
l
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
(pow.f64 h #s(literal -1 binary64))
h
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.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))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(*.f64 h #s(literal -1/4 binary64))
h
#s(literal -1/4 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (*.f64 M M) D) D)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
D
(*.f64 l (*.f64 d d))
l
(*.f64 d d)
d
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(/.f64 h l)
h
l
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(*.f64 (*.f64 D M) #s(literal -1/2 binary64))
(*.f64 D M)
D
M
#s(literal -1/2 binary64)
d
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#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) (pow.f64 h #s(literal -1 binary64)))))))
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) (pow.f64 h #s(literal -1 binary64))))))
(-.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) (pow.f64 h #s(literal -1 binary64)))))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) 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)
l
(/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))
(pow.f64 h #s(literal -1 binary64))
h
#s(literal -1 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) l) #s(literal -1/2 binary64)) (*.f64 (/.f64 D d) M) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) l) #s(literal -1/2 binary64)) (*.f64 (/.f64 D d) M) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) l) #s(literal -1/2 binary64)) (*.f64 (/.f64 D d) M) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l)
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) D) l) (/.f64 M d))
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) D) M)
(*.f64 (*.f64 D M) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) D) M)
(*.f64 D M)
(*.f64 M D)
D
M
#s(literal -1/2 binary64)
d
l
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64)))
(*.f64 h (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
(pow.f64 h #s(literal -1 binary64))
h
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)
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))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 D (/.f64 (/.f64 D d) d)) h) #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 D (/.f64 (/.f64 D d) d)) h) #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 D (/.f64 (/.f64 D d) d)) h) #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 D (/.f64 (/.f64 D d) d)) h) #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64))
(*.f64 h #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) h)
h
#s(literal -1/4 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 D d) d) l) M) (*.f64 M D))
(*.f64 (*.f64 (*.f64 M M) D) D)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
D
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 d d) l)
l
(*.f64 d d)
d
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) l) #s(literal -1/2 binary64)) (*.f64 (/.f64 D d) M) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) l) #s(literal -1/2 binary64)) (*.f64 (/.f64 D d) M) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) l) #s(literal -1/2 binary64)) (*.f64 (/.f64 D d) M) #s(literal 1 binary64))
(*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(*.f64 (*.f64 h (*.f64 M (/.f64 D l))) (/.f64 #s(literal -1/2 binary64) d))
(/.f64 h l)
h
l
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) D) M)
(*.f64 (*.f64 D M) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) D) M)
(*.f64 D M)
(*.f64 M D)
D
M
#s(literal -1/2 binary64)
d
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#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) (pow.f64 h #s(literal -1 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D (/.f64 (/.f64 D d) d)) h) #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64))) w0)
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) (pow.f64 h #s(literal -1 binary64))))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D (/.f64 (/.f64 D d) d)) h) #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)))
(-.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) (pow.f64 h #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 (*.f64 D (/.f64 (/.f64 D d) d)) h) #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 D (/.f64 (/.f64 D d) d)) h) #s(literal 1/4 binary64)) (/.f64 (*.f64 M M) l))
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l)
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) D) l) (/.f64 (*.f64 M M) d))
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 D d)) M) M)
(/.f64 D d)
D
d
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 M M))
(*.f64 M M)
M
#s(literal 1/4 binary64)
l
(/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))
(*.f64 (/.f64 D d) h)
(pow.f64 h #s(literal -1 binary64))
h
#s(literal -1 binary64)

localize162.0ms (1.2%)

Memory
-29.8MiB live, 300.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy5.802055967539404
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l)
accuracy6.078308811907151
(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) (pow.f64 h #s(literal -1 binary64))))))
accuracy6.496378189909642
(*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))))
accuracy9.147303438411296
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
accuracy5.19272375228924
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
accuracy6.078308811907151
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
accuracy6.622958138663003
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy8.77493789720285
(*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
accuracy6.078308811907151
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
accuracy6.38940779952927
(*.f64 l (*.f64 d d))
accuracy7.268722077097847
(*.f64 (*.f64 M M) D)
accuracy13.939262757446137
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
accuracy0.7538634492600391
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy20.533584273098498
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy5.245123390008186
(/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l)
accuracy5.512584521019335
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64)))
accuracy6.078308811907151
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
accuracy6.622958138663003
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
Samples
103.0ms256×0valid
Compiler

Compiled 545 to 60 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 36.0ms (50.2% of total)
ival-div: 16.0ms (22.3% of total)
ival-sqrt: 6.0ms (8.4% of total)
ival-add: 4.0ms (5.6% of total)
ival-pow: 4.0ms (5.6% of total)
ival-sub: 2.0ms (2.8% of total)
ival-pow2: 2.0ms (2.8% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series341.0ms (2.5%)

Memory
3.2MiB live, 394.1MiB allocated
Counts
27 → 1 464
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #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))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (patch (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))) (patch (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.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) (pow.f64 h #s(literal -1 binary64))))) (patch (-.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) (pow.f64 h #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (*.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) (pow.f64 h #s(literal -1 binary64))))))) (patch (*.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) (pow.f64 h #s(literal -1 binary64))))))) #<representation binary64>) () ())
#s(alt (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) (pow.f64 h #s(literal -1 binary64)))))) (patch (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) (pow.f64 h #s(literal -1 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (patch (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M M) D) (patch (*.f64 (*.f64 M M) D) #<representation binary64>) () ())
#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #<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 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))) (patch (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (patch (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) #<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 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #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 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #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 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #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 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #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 #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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#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 (* 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 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 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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 (-.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) (pow.f64 h #s(literal -1 binary64))))))) (patch (*.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) (pow.f64 h #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 (-.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) (pow.f64 h #s(literal -1 binary64))))))) (patch (*.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) (pow.f64 h #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 (-.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) (pow.f64 h #s(literal -1 binary64))))))) (patch (*.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) (pow.f64 h #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 (-.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) (pow.f64 h #s(literal -1 binary64))))))) (patch (*.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) (pow.f64 h #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 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #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 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #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 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #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 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #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 #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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#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 (* 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf d) (#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 (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf d) (#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 (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf d) (#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 (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf d) (#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 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))) (patch (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))) (patch (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))) (patch (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))) (patch (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (pow M 2)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (patch (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (pow M 2)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (patch (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (pow M 2)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (patch (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (pow M 2)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (patch (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
15.0ms
M
@0
((/ (* (* (/ 1/2 d) M) D) (pow h -1)) (* w0 (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (pow h -1))) 1))) (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (pow h -1))) 1)) (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (pow h -1))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* l (* d d)))) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* (/ h l) (/ (* (* D M) -1/2) d)) (/ (/ D d) (pow h -1)) (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))) (* w0 (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))))) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (* (* (/ 1/2 d) M) D) (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (* M M) D) D) (* l (* d d))) (* (* M M) D) (* l (* d d)) (/ (* (* D M) -1/2) d) (* (/ D d) (* (* M M) 1/4)) (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))) (/ (* (/ D d) (* (* M M) 1/4)) l))
9.0ms
D
@0
((/ (* (* (/ 1/2 d) M) D) (pow h -1)) (* w0 (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (pow h -1))) 1))) (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (pow h -1))) 1)) (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (pow h -1))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* l (* d d)))) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* (/ h l) (/ (* (* D M) -1/2) d)) (/ (/ D d) (pow h -1)) (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))) (* w0 (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))))) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (* (* (/ 1/2 d) M) D) (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (* M M) D) D) (* l (* d d))) (* (* M M) D) (* l (* d d)) (/ (* (* D M) -1/2) d) (* (/ D d) (* (* M M) 1/4)) (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))) (/ (* (/ D d) (* (* M M) 1/4)) l))
8.0ms
d
@0
((/ (* (* (/ 1/2 d) M) D) (pow h -1)) (* w0 (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (pow h -1))) 1))) (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (pow h -1))) 1)) (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (pow h -1))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* l (* d d)))) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* (/ h l) (/ (* (* D M) -1/2) d)) (/ (/ D d) (pow h -1)) (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))) (* w0 (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))))) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (* (* (/ 1/2 d) M) D) (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (* M M) D) D) (* l (* d d))) (* (* M M) D) (* l (* d d)) (/ (* (* D M) -1/2) d) (* (/ D d) (* (* M M) 1/4)) (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))) (/ (* (/ D d) (* (* M M) 1/4)) l))
7.0ms
l
@0
((/ (* (* (/ 1/2 d) M) D) (pow h -1)) (* w0 (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (pow h -1))) 1))) (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (pow h -1))) 1)) (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (pow h -1))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* l (* d d)))) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* (/ h l) (/ (* (* D M) -1/2) d)) (/ (/ D d) (pow h -1)) (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))) (* w0 (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))))) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (* (* (/ 1/2 d) M) D) (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (* M M) D) D) (* l (* d d))) (* (* M M) D) (* l (* d d)) (/ (* (* D M) -1/2) d) (* (/ D d) (* (* M M) 1/4)) (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))) (/ (* (/ D d) (* (* M M) 1/4)) l))
7.0ms
d
@-inf
((/ (* (* (/ 1/2 d) M) D) (pow h -1)) (* w0 (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (pow h -1))) 1))) (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (pow h -1))) 1)) (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (pow h -1))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* l (* d d)))) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* (/ h l) (/ (* (* D M) -1/2) d)) (/ (/ D d) (pow h -1)) (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))) (* w0 (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1)))))) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (* (* (/ 1/2 d) M) D) (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (* M M) D) D) (* l (* d d))) (* (* M M) D) (* l (* d d)) (/ (* (* D M) -1/2) d) (* (/ D d) (* (* M M) 1/4)) (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))) (/ (* (/ D d) (* (* M M) 1/4)) l))

simplify319.0ms (2.3%)

Memory
36.4MiB live, 505.4MiB allocated
Algorithm
1×egg-herbie
Rules
10 444×lower-*.f64
10 444×lower-*.f32
8 468×lower-fma.f64
8 468×lower-fma.f32
2 730×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066036983
1228636711
0819335621
Stop Event
1×iter limit
1×node limit
Counts
1 464 → 1 429
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 (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 (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 (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))))))
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w0
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1
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1
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w0
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1
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w0
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1
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1
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1
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w0
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1
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1
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1
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w0
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1
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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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1
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1
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(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
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(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* D (pow M 2))
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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 (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)
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(* (/ (* 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)
(* (/ (* 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)
(* (/ (* 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)
(* (/ (* 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)
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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))
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(* (/ (* 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)
(* (/ (* 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)
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(/ (* D h) d)
(/ (* D h) d)
(/ (* D h) d)
(/ (* D h) d)
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(* (/ (* 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)
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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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(/ (+ (* (* 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)
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(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
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(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
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(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) 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)))))))
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 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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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)))))))
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)))))))
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)))))))
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 (* -1/4 (/ (* (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))))
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)))))))
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 (* -1/4 (/ (* (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))))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/ (* D h) d)
(/ (* D h) d)
(/ (* D h) d)
(/ (* D h) d)
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))))
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)))))))
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)))))))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) 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)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 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 (/ (* D (pow M 2)) (* d l)))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) 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)))))))
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 (* -1/4 (/ (* (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))))
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)))))))
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)))))))
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))))))
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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 (* -1/4 (/ (* (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))))
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)))))))
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 (* -1/4 (/ (* (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))))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/ (* D h) d)
(/ (* D h) d)
(/ (* D h) d)
(/ (* D h) d)
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))))
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)))))))
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)))))))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) 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)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 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 (/ (* D (pow M 2)) (* d l)))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
Outputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* 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))))))
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(* 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))))))
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(* 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))))))
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(* 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))))))
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(* 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))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* 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))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* 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))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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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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(* 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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(* 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)))))))
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
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(* 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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(* 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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(* 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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(* 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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(* 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)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* 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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(* 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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(* 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 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* 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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(* 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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(* 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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(* 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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(* 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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(* 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)))))))
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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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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* 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))))))
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(* 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)))))))
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(* (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)))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* 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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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* 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))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* 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)))))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* -1/2 (/ (* D (* M h)) (* d l)))
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(* -1/2 (/ (* D (* M h)) (* d l)))
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(* -1/2 (/ (* D (* M h)) (* d l)))
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(/ (* D h) d)
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* 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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(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))
(/ (* D h) d)
(/.f64 (*.f64 h D) d)
(/ (* D h) d)
(/.f64 (*.f64 h D) d)
(/ (* D h) d)
(/.f64 (*.f64 h D) d)
(/ (* D h) d)
(/.f64 (*.f64 h D) d)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) 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 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) 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))))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64))) 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)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) w0))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) 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))))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) 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 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)))) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) #s(literal 1 binary64)))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal -1/2 binary64))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) #s(literal 1/4 binary64))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) #s(literal 1/4 binary64))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) #s(literal 1/4 binary64))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) #s(literal 1/4 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) M) d) l) #s(literal 1/4 binary64))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) M) d) l) #s(literal 1/4 binary64))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) M) d) l) #s(literal 1/4 binary64))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) M) d) l) #s(literal 1/4 binary64))

rewrite185.0ms (1.3%)

Memory
8.6MiB live, 325.9MiB allocated
Rules
4 198×lower-/.f32
4 180×lower-/.f64
3 530×lower-*.f32
3 496×lower-*.f64
2 422×lower-pow.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060477
0100486
1340417
22937403
08528403
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 1 024
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64)))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #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))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))
(-.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) (pow.f64 h #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) (pow.f64 h #s(literal -1 binary64)))))))
(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) (pow.f64 h #s(literal -1 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l)
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 M M) D)
(*.f64 l (*.f64 d d))
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l)
Outputs
(*.f64 (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) D) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) D) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)) h)
(*.f64 (pow.f64 h #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal -1 binary64)))
(*.f64 (/.f64 D (pow.f64 h #s(literal -1/2 binary64))) (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (pow.f64 h #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (pow.f64 h #s(literal -1/2 binary64))) (/.f64 D (pow.f64 h #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 h #s(literal -1/2 binary64))) (/.f64 (*.f64 D M) (pow.f64 h #s(literal -1/2 binary64))))
(*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 #s(literal 1 binary64) (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M)) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal -1 binary64)))
(*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))
(*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) h)
(*.f64 D (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (pow.f64 h #s(literal -1 binary64))))
(*.f64 D (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) h))
(*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D h))
(*.f64 M (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 D h)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 D M) (pow.f64 h #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) h))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 M (*.f64 D h)))
(pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (pow.f64 h #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h))) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (pow.f64 h #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 h #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) (neg.f64 (*.f64 (pow.f64 h #s(literal -1 binary64)) d)))
(/.f64 (neg.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) h))
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d)
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) (*.f64 (pow.f64 h #s(literal -1 binary64)) d))
(/.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (pow.f64 h #s(literal -1/2 binary64))) (pow.f64 h #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)) (pow.f64 h #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M)) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) h))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M)) (/.f64 #s(literal -1 binary64) h))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal -1 binary64))))
(/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (neg.f64 (/.f64 #s(literal -1 binary64) h)))
(/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (pow.f64 h #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M)) (pow.f64 h #s(literal -1 binary64))))
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(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) d) #s(literal -1/4 binary64)) (neg.f64 l))
(/.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) l)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d)))
(neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) d) #s(literal -1/4 binary64)) l))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 l)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) d) #s(literal -1/4 binary64)) l))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d)) #s(literal -1 binary64)))

eval459.0ms (3.3%)

Memory
16.5MiB live, 825.5MiB allocated
Compiler

Compiled 80 240 to 5 199 computations (93.5% saved)

prune602.0ms (4.3%)

Memory
-150.6MiB live, 644.9MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New2 649132 662
Fresh9312
Picked415
Done000
Total2 662172 679
Accuracy
93.3%
Counts
2 679 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
84.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
▶81.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))))
▶87.0%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
50.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)))))
69.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
66.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
▶55.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
▶78.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))))
71.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
70.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
16.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
24.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 h (*.f64 l (*.f64 d d))))) (*.f64 M M)))))
14.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
52.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
✓68.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶49.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
Compiler

Compiled 944 to 612 computations (35.2% saved)

simplify123.0ms (0.9%)

Memory
11.0MiB live, 164.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
cost-diff0
(fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))))
cost-diff0
(*.f64 h #s(literal -1/4 binary64))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))))
cost-diff0
(*.f64 h #s(literal -1/4 binary64))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
cost-diff0
(*.f64 D D)
cost-diff0
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
cost-diff0
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
cost-diff0
#s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64)))
cost-diff0
(fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
Rules
8 016×lower-*.f32
7 964×lower-*.f64
3 572×lower-/.f32
3 552×lower-/.f64
1 502×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075751
0126751
1261751
2808751
34282751
45521751
57449751
08030751
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
#s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l)
(/.f64 (*.f64 (*.f64 h M) D) d)
(*.f64 (*.f64 h M) D)
(*.f64 h M)
h
M
D
d
l
#s(literal -1/2 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/.f64 (*.f64 h (*.f64 M M)) l)
(*.f64 h (*.f64 M M))
h
(*.f64 M M)
M
l
(/.f64 w0 (*.f64 d d))
w0
(*.f64 d d)
d
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(*.f64 h #s(literal -1/4 binary64))
h
#s(literal -1/4 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (*.f64 D D) M) M)
(*.f64 (*.f64 D D) M)
(*.f64 D D)
D
M
(*.f64 l (*.f64 d d))
l
(*.f64 d d)
d
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64))
(*.f64 h #s(literal -1/4 binary64))
h
#s(literal -1/4 binary64)
(*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d))
(/.f64 D (*.f64 l d))
D
(*.f64 l d)
l
d
(/.f64 (*.f64 (*.f64 M M) D) d)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
M
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
(*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d)))
(*.f64 D h)
D
h
(*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))
(/.f64 (*.f64 D M) l)
(*.f64 D M)
l
(/.f64 #s(literal -1/2 binary64) d)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) M #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) M #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) M #s(literal 1 binary64))
#s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64)))
#s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l) #s(literal -1/2 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l)
(/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l)
(/.f64 (*.f64 (*.f64 h M) D) d)
(/.f64 (*.f64 (*.f64 M h) D) d)
(*.f64 (*.f64 h M) D)
(*.f64 (*.f64 M h) D)
(*.f64 h M)
(*.f64 M h)
h
M
D
d
l
#s(literal -1/2 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 M d))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 w0 (*.f64 d d)) D) (*.f64 D (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) #s(literal -1/8 binary64))) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
(fma.f64 (*.f64 (/.f64 w0 (*.f64 d d)) D) (*.f64 D (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) #s(literal -1/8 binary64))) w0)
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) M) (/.f64 M l))
(/.f64 (*.f64 h (*.f64 M M)) l)
(/.f64 (*.f64 (*.f64 M M) h) l)
(*.f64 h (*.f64 M M))
(*.f64 (*.f64 M M) h)
h
(*.f64 M M)
M
l
(/.f64 w0 (*.f64 d d))
w0
(*.f64 d d)
d
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)) d) D) (/.f64 (*.f64 (*.f64 M M) D) d) #s(literal 1 binary64)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)) d) D) (/.f64 (*.f64 (*.f64 M M) D) d) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)) d) D) (/.f64 (*.f64 (*.f64 M M) D) d) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)) d) D) (/.f64 (*.f64 (*.f64 M M) D) d) #s(literal 1 binary64))
(*.f64 h #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) h)
h
#s(literal -1/4 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (/.f64 (/.f64 M (*.f64 d d)) l) D) (*.f64 M D))
(*.f64 (*.f64 (*.f64 D D) M) M)
(*.f64 (*.f64 D D) M)
(*.f64 D D)
D
M
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 d d) l)
l
(*.f64 d d)
d
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)) d) D) (/.f64 (*.f64 (*.f64 M M) D) d) #s(literal 1 binary64)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)) d) D) (/.f64 (*.f64 (*.f64 M M) D) d) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)) d) D) (/.f64 (*.f64 (*.f64 M M) D) d) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)) d) D) (/.f64 (*.f64 (*.f64 M M) D) d) #s(literal 1 binary64))
(*.f64 h #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) h)
h
#s(literal -1/4 binary64)
(*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d))
(*.f64 (*.f64 (/.f64 (/.f64 M (*.f64 d d)) l) D) (*.f64 M D))
(/.f64 D (*.f64 l d))
(/.f64 D (*.f64 d l))
D
(*.f64 l d)
(*.f64 d l)
l
d
(/.f64 (*.f64 (*.f64 M M) D) d)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l) #s(literal -1/2 binary64)) M) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l) #s(literal -1/2 binary64)) M) #s(literal 1 binary64)))
(fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l) #s(literal -1/2 binary64)) M) #s(literal 1 binary64))
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
M
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
(*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) h) D) M) (/.f64 D l))
(*.f64 D h)
D
h
(*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) D) l) (/.f64 M d))
(/.f64 (*.f64 D M) l)
(/.f64 (*.f64 M D) l)
(*.f64 D M)
(*.f64 M D)
l
(/.f64 #s(literal -1/2 binary64) d)
#s(literal -1/2 binary64)
#s(literal 1 binary64)

localize234.0ms (1.7%)

Memory
-3.5MiB live, 314.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.29884291014746
(/.f64 (*.f64 D M) l)
accuracy5.561395479209504
(*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))
accuracy6.078308811907151
(sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64)))
accuracy6.560246847006428
(*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d)))
accuracy6.00199741475815
(/.f64 D (*.f64 l d))
accuracy6.078308811907151
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64))))
accuracy6.771269639212519
(*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d))
accuracy7.268722077097847
(*.f64 (*.f64 M M) D)
accuracy6.078308811907151
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
accuracy6.198734462130741
(*.f64 (*.f64 D D) M)
accuracy6.38940779952927
(*.f64 l (*.f64 d d))
accuracy13.939262757446137
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
accuracy8.153542322040863
(*.f64 h (*.f64 M M))
accuracy10.31859633966183
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
accuracy14.426035166997783
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
accuracy14.671294257475896
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
accuracy6.078308811907151
(sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
accuracy6.107323460432178
(*.f64 (*.f64 h M) D)
accuracy6.622958138663003
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy7.32664953215112
(/.f64 (*.f64 (*.f64 h M) D) d)
Samples
186.0ms256×0valid
Compiler

Compiled 579 to 73 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-mult: 66.0ms (62.3% of total)
ival-div: 25.0ms (23.6% of total)
ival-add: 5.0ms (4.7% of total)
ival-sqrt: 5.0ms (4.7% of total)
ival-pow2: 2.0ms (1.9% of total)
ival-sub: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series229.0ms (1.7%)

Memory
-2.1MiB live, 355.0MiB allocated
Counts
33 → 1 584
Calls
Call 1
Inputs
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (patch #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (patch (*.f64 (*.f64 D D) #s(literal -1/8 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))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 h #s(literal -1/4 binary64)) (patch (*.f64 h #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (patch (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 h M) D) d) (patch (/.f64 (*.f64 (*.f64 h M) D) d) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 h M) D) (patch (*.f64 (*.f64 h M) D) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (patch (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) #<representation binary64>) () ())
#s(alt (*.f64 h (*.f64 M M)) (patch (*.f64 h (*.f64 M M)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())
#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D D) M) (patch (*.f64 (*.f64 D D) M) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M M) D) (patch (*.f64 (*.f64 M M) D) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) (patch (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #<representation binary64>) () ())
#s(alt (/.f64 D (*.f64 l d)) (patch (/.f64 D (*.f64 l d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) (patch (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d)) (patch (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 D M) l) (patch (/.f64 (*.f64 D M) l) #<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 (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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 (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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 (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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 (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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 #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) #<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 #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) #<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 #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) #<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 #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) #<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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) 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 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) 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 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) 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 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) 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 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor 0 w0) (#s(alt (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (patch (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor 0 w0) (#s(alt (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (patch (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor 0 w0) (#s(alt (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (patch (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor 0 w0) (#s(alt (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (patch (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) #<representation binary64>) () ())) ())
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#s(alt (/ (* D (* M h)) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 h M) D) d) (patch (/.f64 (*.f64 (*.f64 h M) D) d) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (patch (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (patch (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (patch (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (patch (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) (patch (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) (patch (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) (patch (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) (patch (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #<representation binary64>) () ())) ())
#s(alt (/ D (* d l)) (taylor -inf d) (#s(alt (/.f64 D (*.f64 l d)) (patch (/.f64 D (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (/ D (* d l)) (taylor -inf d) (#s(alt (/.f64 D (*.f64 l d)) (patch (/.f64 D (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (/ D (* d l)) (taylor -inf d) (#s(alt (/.f64 D (*.f64 l d)) (patch (/.f64 D (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (/ D (* d l)) (taylor -inf d) (#s(alt (/.f64 D (*.f64 l d)) (patch (/.f64 D (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* (pow D 2) (* M h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) (patch (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* (pow D 2) (* M h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) (patch (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* (pow D 2) (* M h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) (patch (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* (pow D 2) (* M h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) (patch (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d)) (patch (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d)) (patch (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d)) (patch (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d)) (patch (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d)) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
22.0ms
M
@-inf
((* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* (/ h l) (/ (* (* D M) -1/2) d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* h -1/4) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* w0 (sqrt (+ (* (* M (/ 1/2 d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d)))) 1))) (sqrt (+ (* (* M (/ 1/2 d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d)))) 1)) (+ (* (* M (/ 1/2 d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d)))) 1) (* M (/ 1/2 d)) (/ (* (* h M) D) d) (* (* (/ 1/2 d) M) D) (* (* h M) D) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (* h (* M M)) (/ (* (* (* D D) M) M) (* l (* d d))) (* l (* d d)) (* (* D D) M) (* (* M M) D) (* (/ D (* l d)) (/ (* (* M M) D) d)) (/ D (* l d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d))) (* (/ (* D M) l) (/ -1/2 d)) (/ (* D M) l))
19.0ms
h
@inf
((* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* (/ h l) (/ (* (* D M) -1/2) d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* h -1/4) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* w0 (sqrt (+ (* (* M (/ 1/2 d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d)))) 1))) (sqrt (+ (* (* M (/ 1/2 d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d)))) 1)) (+ (* (* M (/ 1/2 d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d)))) 1) (* M (/ 1/2 d)) (/ (* (* h M) D) d) (* (* (/ 1/2 d) M) D) (* (* h M) D) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (* h (* M M)) (/ (* (* (* D D) M) M) (* l (* d d))) (* l (* d d)) (* (* D D) M) (* (* M M) D) (* (/ D (* l d)) (/ (* (* M M) D) d)) (/ D (* l d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d))) (* (/ (* D M) l) (/ -1/2 d)) (/ (* D M) l))
9.0ms
d
@-inf
((* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* (/ h l) (/ (* (* D M) -1/2) d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* h -1/4) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* w0 (sqrt (+ (* (* M (/ 1/2 d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d)))) 1))) (sqrt (+ (* (* M (/ 1/2 d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d)))) 1)) (+ (* (* M (/ 1/2 d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d)))) 1) (* M (/ 1/2 d)) (/ (* (* h M) D) d) (* (* (/ 1/2 d) M) D) (* (* h M) D) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (* h (* M M)) (/ (* (* (* D D) M) M) (* l (* d d))) (* l (* d d)) (* (* D D) M) (* (* M M) D) (* (/ D (* l d)) (/ (* (* M M) D) d)) (/ D (* l d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d))) (* (/ (* D M) l) (/ -1/2 d)) (/ (* D M) l))
7.0ms
D
@inf
((* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* (/ h l) (/ (* (* D M) -1/2) d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* h -1/4) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* w0 (sqrt (+ (* (* M (/ 1/2 d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d)))) 1))) (sqrt (+ (* (* M (/ 1/2 d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d)))) 1)) (+ (* (* M (/ 1/2 d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d)))) 1) (* M (/ 1/2 d)) (/ (* (* h M) D) d) (* (* (/ 1/2 d) M) D) (* (* h M) D) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (* h (* M M)) (/ (* (* (* D D) M) M) (* l (* d d))) (* l (* d d)) (* (* D D) M) (* (* M M) D) (* (/ D (* l d)) (/ (* (* M M) D) d)) (/ D (* l d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d))) (* (/ (* D M) l) (/ -1/2 d)) (/ (* D M) l))
7.0ms
M
@0
((* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* (/ h l) (/ (* (* D M) -1/2) d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* h -1/4) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* w0 (sqrt (+ (* (* M (/ 1/2 d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d)))) 1))) (sqrt (+ (* (* M (/ 1/2 d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d)))) 1)) (+ (* (* M (/ 1/2 d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d)))) 1) (* M (/ 1/2 d)) (/ (* (* h M) D) d) (* (* (/ 1/2 d) M) D) (* (* h M) D) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (* h (* M M)) (/ (* (* (* D D) M) M) (* l (* d d))) (* l (* d d)) (* (* D D) M) (* (* M M) D) (* (/ D (* l d)) (/ (* (* M M) D) d)) (/ D (* l d)) (* (* D h) (* (/ (* D M) l) (/ -1/2 d))) (* (/ (* D M) l) (/ -1/2 d)) (/ (* D M) l))

simplify300.0ms (2.2%)

Memory
-2.4MiB live, 467.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 536×lower-*.f64
8 536×lower-*.f32
6 640×lower-fma.f64
6 640×lower-fma.f32
4 684×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068935708
1237135540
0853434508
Stop Event
1×iter limit
1×node limit
Counts
1 584 → 1 542
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 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (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 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (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))))))
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w0
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1
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1
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w0
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w0
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w0
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1
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1
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w0
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1
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1
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w0
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1
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1
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(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ D (* d l))
(/ D (* d l))
(/ D (* d l))
(/ D (* d l))
(* -1/2 (/ (* (pow D 2) (* M h)) (* d l)))
(* -1/2 (/ (* (pow D 2) (* M h)) (* d l)))
(* -1/2 (/ (* (pow D 2) (* M h)) (* d l)))
(* -1/2 (/ (* (pow D 2) (* M h)) (* 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
(+ 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)))))))
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 (* -1/4 (/ (* (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))))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d 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 (* -1/8 (/ (* (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))))
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)))))))
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 (* -1/4 (/ (* (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))))
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)))))))
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 (* -1/4 (/ (* (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))))
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)))))))
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 (* -1/4 (/ (* (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))))
(* 1/2 (/ M d))
(* 1/2 (/ M d))
(* 1/2 (/ M d))
(* 1/2 (/ M d))
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ D (* d l))
(/ D (* d l))
(/ D (* d l))
(/ D (* d l))
(* -1/2 (/ (* (pow D 2) (* M h)) (* d l)))
(* -1/2 (/ (* (pow D 2) (* M h)) (* d l)))
(* -1/2 (/ (* (pow D 2) (* M h)) (* d l)))
(* -1/2 (/ (* (pow D 2) (* M h)) (* 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)))
Outputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* -1/2 (/ (* D (* M h)) (* d l)))
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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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(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
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(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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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))))) (+ (* 1/2 (* (/ (* 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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(* 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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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* 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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(* 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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(* 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)))))))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* 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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(* 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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(* 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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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* 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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(* 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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(* 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)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))
(* (/ (* D (* 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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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* 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))))))
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(* 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)))))))
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(* -1/4 (/ (* (pow D 2) (* (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)))))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* 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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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* 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))))))
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(* 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)))))))
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(* -1/4 (/ (* (pow D 2) (* (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)))))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* 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 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* 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 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* 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))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* 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)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) 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)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D 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 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D 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)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 6 binary64))) #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 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) 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))))))
(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) 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)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D 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 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D 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)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 6 binary64))) #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 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* 1/2 (/ M d))
(*.f64 (/.f64 M d) #s(literal 1/2 binary64))
(* 1/2 (/ M d))
(*.f64 (/.f64 M d) #s(literal 1/2 binary64))
(* 1/2 (/ M d))
(*.f64 (/.f64 M d) #s(literal 1/2 binary64))
(* 1/2 (/ M d))
(*.f64 (/.f64 M d) #s(literal 1/2 binary64))
(/ (* D (* M h)) d)
(/.f64 (*.f64 (*.f64 h M) D) d)
(/ (* D (* M h)) d)
(/.f64 (*.f64 (*.f64 h M) D) d)
(/ (* D (* M h)) d)
(/.f64 (*.f64 (*.f64 h M) D) d)
(/ (* D (* M h)) d)
(/.f64 (*.f64 (*.f64 h M) D) d)
(* 1/2 (/ (* D M) d))
(*.f64 (*.f64 D (/.f64 M d)) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (*.f64 D (/.f64 M d)) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (*.f64 D (/.f64 M d)) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (*.f64 D (/.f64 M d)) #s(literal 1/2 binary64))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d)))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d)))
(/ D (* d l))
(/.f64 D (*.f64 l d))
(/ D (* d l))
(/.f64 D (*.f64 l d))
(/ D (* d l))
(/.f64 D (*.f64 l d))
(/ D (* d l))
(/.f64 D (*.f64 l d))
(* -1/2 (/ (* (pow D 2) (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 D D) d)) (/.f64 (*.f64 h M) l))
(* -1/2 (/ (* (pow D 2) (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 D D) d)) (/.f64 (*.f64 h M) l))
(* -1/2 (/ (* (pow D 2) (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 D D) d)) (/.f64 (*.f64 h M) l))
(* -1/2 (/ (* (pow D 2) (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 D D) d)) (/.f64 (*.f64 h M) l))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) #s(literal -1/2 binary64))

rewrite265.0ms (1.9%)

Memory
20.8MiB live, 252.5MiB allocated
Rules
4 674×lower-*.f32
4 622×lower-*.f64
4 338×lower-/.f32
4 318×lower-/.f64
2 498×lower-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075584
0126584
1428568
23142568
08576568
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
33 → 927
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
#s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
(*.f64 h #s(literal -1/4 binary64))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(/.f64 (*.f64 (*.f64 h M) D) d)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (*.f64 h M) D)
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(*.f64 h (*.f64 M M))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 D D) M)
(*.f64 (*.f64 M M) D)
(*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d))
(/.f64 D (*.f64 l d))
(*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d)))
(*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))
(/.f64 (*.f64 D M) l)
Outputs
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M D) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M D) #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M D) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M D) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
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(*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)))
(*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal -1/2 binary64) M) l))
(*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 M D) l))
(*.f64 (/.f64 (*.f64 M D) l) (/.f64 #s(literal -1/2 binary64) d))
(*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal -1/2 binary64) d) l))
(*.f64 (*.f64 M D) (/.f64 #s(literal -1/2 binary64) (*.f64 d l)))
(*.f64 (*.f64 M D) (pow.f64 (*.f64 l (*.f64 #s(literal -2 binary64) d)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (pow.f64 (*.f64 d l) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 M D) (*.f64 d l)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 d (/.f64 l (*.f64 M D))) #s(literal -1 binary64)))
(*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 d l)))
(*.f64 D (*.f64 (/.f64 M l) (/.f64 #s(literal -1/2 binary64) d)))
(pow.f64 (/.f64 d (*.f64 (/.f64 (*.f64 M D) l) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 l (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 d l) (*.f64 (*.f64 #s(literal -1/2 binary64) D) M)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 d (*.f64 M D)) #s(literal -1/2 binary64)) l) #s(literal -1 binary64))
(pow.f64 (*.f64 l (/.f64 (/.f64 d (*.f64 M D)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (/.f64 l (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 l (*.f64 M D)) (*.f64 #s(literal -2 binary64) d)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) l))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 (neg.f64 M) D))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64))) (neg.f64 (/.f64 l (*.f64 M D))))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M D) l) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) d)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M D) l) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M D) l) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 M) D))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 M D))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) l)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 M) D))) (neg.f64 (*.f64 (neg.f64 d) (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) D) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 l) (*.f64 #s(literal -2 binary64) d))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) D) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (neg.f64 l) (neg.f64 d))))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64))) (neg.f64 (*.f64 l (*.f64 #s(literal -2 binary64) d))))
(/.f64 (neg.f64 (/.f64 (*.f64 M D) l)) (neg.f64 (*.f64 #s(literal -2 binary64) d)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) l)) (neg.f64 d))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 (neg.f64 M) D)) (neg.f64 l))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64)) (/.f64 l (*.f64 M D)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) l) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (/.f64 (*.f64 M D) l) #s(literal 1/2 binary64)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (neg.f64 d) l)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M D) l) #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 M) D)) (*.f64 (*.f64 #s(literal -2 binary64) d) (neg.f64 l)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 M D)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 M) D)) (*.f64 (neg.f64 d) (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (neg.f64 M) D) #s(literal 1 binary64)) (*.f64 (neg.f64 l) (*.f64 #s(literal -2 binary64) d)))
(/.f64 (*.f64 (*.f64 (neg.f64 M) D) #s(literal 1/2 binary64)) (*.f64 (neg.f64 l) (neg.f64 d)))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 l (*.f64 #s(literal -2 binary64) d)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 (/.f64 (*.f64 M D) l) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d l) (*.f64 (*.f64 #s(literal -1/2 binary64) D) M))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 l (/.f64 (/.f64 d (*.f64 M D)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (/.f64 l (*.f64 M D)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 l (*.f64 M D)) (*.f64 #s(literal -2 binary64) d))))
(/.f64 (*.f64 (/.f64 (*.f64 M D) l) #s(literal -1/2 binary64)) d)
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (*.f64 (neg.f64 d) l))
(/.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 l (*.f64 M D)))
(/.f64 (/.f64 (*.f64 M D) l) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (neg.f64 l))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (/.f64 (*.f64 M D) l) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d l) (*.f64 (*.f64 #s(literal -1/2 binary64) D) M)))
(/.f64 #s(literal 1 binary64) (*.f64 l (/.f64 (/.f64 d (*.f64 M D)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) d) (/.f64 l (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 M D)) (*.f64 #s(literal -2 binary64) d)))
(/.f64 (/.f64 #s(literal 1/2 binary64) d) (neg.f64 (/.f64 l (*.f64 M D))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 d (/.f64 l (*.f64 M D)))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 l (*.f64 M D)) d)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 d) (/.f64 l (*.f64 M D))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 l (*.f64 M D)) (neg.f64 d)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) (neg.f64 (neg.f64 l)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) l)
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 d l))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (neg.f64 d) (/.f64 l (*.f64 M D)))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (/.f64 l (*.f64 M D)) (neg.f64 d))))
(/.f64 #s(literal -1/2 binary64) (*.f64 d (/.f64 l (*.f64 M D))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 l (*.f64 M D)) d))
(*.f64 (/.f64 M l) D)
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 M D) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 M D))
(*.f64 (*.f64 (neg.f64 M) D) (pow.f64 (neg.f64 l) #s(literal -1 binary64)))
(*.f64 (*.f64 M D) (pow.f64 l #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 M D) l))
(*.f64 M (/.f64 D l))
(*.f64 D (/.f64 M l))
(pow.f64 (/.f64 (/.f64 l (*.f64 M D)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (*.f64 M D)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 M) D))) (neg.f64 (neg.f64 (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (neg.f64 M) D)) (neg.f64 (neg.f64 l)))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 l (*.f64 M D)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 M D))))
(/.f64 (*.f64 (neg.f64 M) D) (neg.f64 l))
(/.f64 (*.f64 M D) l)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 l (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (*.f64 M D)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 M D)))
(neg.f64 (/.f64 (*.f64 (neg.f64 M) D) l))
(neg.f64 (/.f64 (*.f64 M D) (neg.f64 l)))
(exp.f64 (*.f64 (log.f64 (/.f64 l (*.f64 M D))) #s(literal -1 binary64)))

eval340.0ms (2.5%)

Memory
39.3MiB live, 552.1MiB allocated
Compiler

Compiled 73 331 to 4 151 computations (94.3% saved)

prune272.0ms (2%)

Memory
-4.5MiB live, 508.7MiB allocated
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New2 482192 501
Fresh4711
Picked325
Done011
Total2 489292 518
Accuracy
93.3%
Counts
2 518 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶84.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
77.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 D h)) (*.f64 d l)) #s(literal 1 binary64))))
✓81.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))))
✓87.0%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
80.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 (neg.f64 M) (*.f64 M D))) (neg.f64 d)) #s(literal 1 binary64)))))
69.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
62.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
▶66.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
59.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (/.f64 M (*.f64 d d))) l) #s(literal 1 binary64)))))
66.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 d l)) (/.f64 M d)) #s(literal 1 binary64)))))
▶79.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))))
57.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
70.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
16.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
14.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
66.3%
(*.f64 w0 (sqrt.f64 #s(approx (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (*.f64 (neg.f64 h) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) h))))))
52.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
✓68.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
48.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (*.f64 M (/.f64 M l))) w0))
▶49.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
65.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
55.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 d)) d) w0))
55.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 d l)) w0))
56.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 (*.f64 (neg.f64 d) l) d)) w0))
50.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) (/.f64 w0 (*.f64 d d))) w0))
51.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
49.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
▶65.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
51.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
Compiler

Compiled 1 527 to 962 computations (37% saved)

simplify145.0ms (1%)

Memory
-12.0MiB live, 143.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))))
cost-diff0
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
cost-diff0
(/.f64 w0 (*.f64 d d))
cost-diff0
(*.f64 (/.f64 w0 (*.f64 d d)) h)
cost-diff0
(fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0)
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
cost-diff0
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D)
cost-diff0
(*.f64 w0 #s(literal -1/8 binary64))
cost-diff0
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
cost-diff0
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M))
cost-diff0
(fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
Rules
5 238×lower-*.f32
5 186×lower-*.f64
3 772×lower-/.f32
3 756×lower-/.f64
2 446×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079747
0127745
1274745
2958745
33590745
44704745
55383745
66023745
76496745
87282745
08188745
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d))
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M))
(*.f64 h #s(literal -1/2 binary64))
h
#s(literal -1/2 binary64)
(*.f64 D M)
D
M
(*.f64 l d)
l
d
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)
(*.f64 w0 #s(literal -1/8 binary64))
w0
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D)
(*.f64 (*.f64 h (*.f64 M M)) D)
(*.f64 h (*.f64 M M))
h
(*.f64 M M)
M
D
(*.f64 l (*.f64 d d))
l
(*.f64 d d)
d
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0)
(*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l)))
(*.f64 (/.f64 w0 (*.f64 d d)) h)
(/.f64 w0 (*.f64 d d))
w0
(*.f64 d d)
d
h
(*.f64 M (/.f64 M l))
M
(/.f64 M l)
l
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
#s(literal -1/8 binary64)
(*.f64 D D)
D
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(*.f64 h #s(literal -1/4 binary64))
h
#s(literal -1/4 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (*.f64 D M) M) D)
(*.f64 (*.f64 D M) M)
(*.f64 D M)
D
M
(*.f64 l (*.f64 d d))
l
(*.f64 d d)
d
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64))
(*.f64 h #s(literal -1/4 binary64))
h
#s(literal -1/4 binary64)
(*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d))
(*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M))
(/.f64 D (*.f64 d l))
D
(*.f64 d l)
d
l
(*.f64 M M)
M
(/.f64 D d)
#s(literal 1 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) d) (*.f64 (*.f64 (*.f64 M D) h) #s(literal -1/2 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) d) (*.f64 (*.f64 (*.f64 M D) h) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) d) (*.f64 (*.f64 (*.f64 M D) h) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d))
(*.f64 (/.f64 (*.f64 M (*.f64 #s(literal -1/2 binary64) h)) l) (/.f64 D d))
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M))
(*.f64 (*.f64 (*.f64 M D) h) #s(literal -1/2 binary64))
(*.f64 h #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) h)
h
#s(literal -1/2 binary64)
(*.f64 D M)
(*.f64 M D)
D
M
(*.f64 l d)
(*.f64 d l)
l
d
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) d) d) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) #s(literal 1 binary64)) w0)))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) d) d) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) #s(literal 1 binary64)) w0))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) d) d) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) #s(literal 1 binary64)) w0)
(*.f64 w0 #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) w0)
w0
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (/.f64 D (*.f64 d l)) D) (/.f64 (*.f64 (*.f64 M M) h) d))
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D)
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D)
(*.f64 (*.f64 h (*.f64 M M)) D)
(*.f64 (*.f64 (*.f64 M M) h) D)
(*.f64 h (*.f64 M M))
(*.f64 (*.f64 M M) h)
h
(*.f64 M M)
M
D
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 d d) l)
l
(*.f64 d d)
d
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) d) d) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) #s(literal 1 binary64)) w0))
(fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0)
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) d) d) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) #s(literal 1 binary64)) w0)
(*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l)))
(*.f64 (*.f64 M (/.f64 (/.f64 M d) l)) (*.f64 (/.f64 w0 d) h))
(*.f64 (/.f64 w0 (*.f64 d d)) h)
(/.f64 w0 (*.f64 d d))
w0
(*.f64 d d)
d
h
(*.f64 M (/.f64 M l))
(*.f64 (/.f64 M l) M)
M
(/.f64 M l)
l
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 D D)
D
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 h d) l) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 h d) l) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 h d) l) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 h d) l) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64))
(*.f64 h #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) h)
h
#s(literal -1/4 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) D) l) d) (/.f64 M d))
(*.f64 (*.f64 (*.f64 D M) M) D)
(*.f64 (*.f64 (*.f64 M M) D) D)
(*.f64 (*.f64 D M) M)
(*.f64 (*.f64 M M) D)
(*.f64 D M)
(*.f64 M D)
D
M
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 d d) l)
l
(*.f64 d d)
d
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 h d) l) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 h d) l) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 h d) l) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 h d) l) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64))
(*.f64 h #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) h)
h
#s(literal -1/4 binary64)
(*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) D) l) d) (/.f64 M d))
(*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M))
(*.f64 (*.f64 M (/.f64 (/.f64 M d) l)) D)
(/.f64 D (*.f64 d l))
D
(*.f64 d l)
d
l
(*.f64 M M)
M
(/.f64 D d)
#s(literal 1 binary64)

localize164.0ms (1.2%)

Memory
28.5MiB live, 261.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.12548443672916
(*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d))
accuracy6.00199741475815
(/.f64 D (*.f64 d l))
accuracy6.078308811907151
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64))))
accuracy10.842973387795645
(*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M))
accuracy4.619210119084778
(*.f64 (*.f64 (*.f64 D M) M) D)
accuracy6.078308811907151
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
accuracy6.38940779952927
(*.f64 l (*.f64 d d))
accuracy13.939262757446137
(/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d)))
accuracy6.621069023924425
(/.f64 w0 (*.f64 d d))
accuracy10.31859633966183
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
accuracy14.426035166997783
(fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0)
accuracy14.462846335045194
(*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l)))
accuracy6.38940779952927
(*.f64 l (*.f64 d d))
accuracy8.153542322040863
(*.f64 h (*.f64 M M))
accuracy10.31859633966183
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
accuracy15.139299220263235
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d)))
accuracy4.1946392488858395
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M))
accuracy6.078308811907151
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
accuracy6.622958138663003
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy11.147512413533182
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d))
Samples
116.0ms256×0valid
Compiler

Compiled 557 to 72 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 51.0ms (61.5% of total)
ival-div: 18.0ms (21.7% of total)
ival-add: 6.0ms (7.2% of total)
ival-sqrt: 3.0ms (3.6% of total)
ival-pow2: 2.0ms (2.4% of total)
ival-sub: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series246.0ms (1.8%)

Memory
-5.6MiB live, 236.3MiB allocated
Counts
31 → 1 596
Calls
Call 1
Inputs
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (patch (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) #<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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) (patch #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) #<representation binary64>) () ())
#s(alt (*.f64 w0 #s(literal -1/8 binary64)) (patch (*.f64 w0 #s(literal -1/8 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (patch (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0) (patch (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 w0 (*.f64 d d)) h) (patch (*.f64 (/.f64 w0 (*.f64 d d)) h) #<representation binary64>) () ())
#s(alt (/.f64 w0 (*.f64 d d)) (patch (/.f64 w0 (*.f64 d d)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())
#s(alt (*.f64 h (*.f64 M M)) (patch (*.f64 h (*.f64 M M)) #<representation binary64>) () ())
#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (patch (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 D M) M) D) (patch (*.f64 (*.f64 (*.f64 D M) M) D) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (patch (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) #<representation binary64>) () ())
#s(alt (/.f64 D (*.f64 d l)) (patch (/.f64 D (*.f64 d l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) (patch (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D 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 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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 #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) #<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 #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) #<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 #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (patch (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (patch (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (patch (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (patch (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (pow M 2)) (* d l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (patch (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (/ (* D (pow M 2)) (* d l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (patch (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (/ (* D (pow M 2)) (* d l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (patch (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (/ (* D (pow M 2)) (* d l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (patch (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (/ D (* d l)) (taylor -inf d) (#s(alt (/.f64 D (*.f64 d l)) (patch (/.f64 D (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ D (* d l)) (taylor -inf d) (#s(alt (/.f64 D (*.f64 d l)) (patch (/.f64 D (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ D (* d l)) (taylor -inf d) (#s(alt (/.f64 D (*.f64 d l)) (patch (/.f64 D (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ D (* d l)) (taylor -inf d) (#s(alt (/.f64 D (*.f64 d l)) (patch (/.f64 D (*.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) (patch (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) (patch (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) (patch (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) (patch (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
44.0ms
d
@inf
((* w0 (sqrt (+ (* (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D)) 1) (* (* h -1/2) (* D M)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (* (* (* h (* M M)) D) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* (/ w0 (* d d)) h) (* M (/ M l))) (* -1/8 (* D D))) w0) (* (/ w0 (* d d)) h) (/ w0 (* d d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* D M) M) D) (* l (* d d)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (* (/ D (* d l)) (* M M)) (/ D d))) 1) (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D) (/ (* (* (* h (* M M)) D) D) (* l (* d d))) (* h (* M M)) (* l (* d d)) (* (* (/ w0 (* d d)) h) (* M (/ M l))) (/ (* (* (* D M) M) D) (* l (* d d))) (* (* (* D M) M) D) (* (/ D (* d l)) (* M M)) (/ D (* d l)) (* (* (/ D (* d l)) (* M M)) (/ D d)))
16.0ms
l
@0
((* w0 (sqrt (+ (* (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D)) 1) (* (* h -1/2) (* D M)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (* (* (* h (* M M)) D) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* (/ w0 (* d d)) h) (* M (/ M l))) (* -1/8 (* D D))) w0) (* (/ w0 (* d d)) h) (/ w0 (* d d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* D M) M) D) (* l (* d d)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (* (/ D (* d l)) (* M M)) (/ D d))) 1) (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D) (/ (* (* (* h (* M M)) D) D) (* l (* d d))) (* h (* M M)) (* l (* d d)) (* (* (/ w0 (* d d)) h) (* M (/ M l))) (/ (* (* (* D M) M) D) (* l (* d d))) (* (* (* D M) M) D) (* (/ D (* d l)) (* M M)) (/ D (* d l)) (* (* (/ D (* d l)) (* M M)) (/ D d)))
9.0ms
w0
@0
((* w0 (sqrt (+ (* (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D)) 1) (* (* h -1/2) (* D M)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (* (* (* h (* M M)) D) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* (/ w0 (* d d)) h) (* M (/ M l))) (* -1/8 (* D D))) w0) (* (/ w0 (* d d)) h) (/ w0 (* d d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* D M) M) D) (* l (* d d)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (* (/ D (* d l)) (* M M)) (/ D d))) 1) (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D) (/ (* (* (* h (* M M)) D) D) (* l (* d d))) (* h (* M M)) (* l (* d d)) (* (* (/ w0 (* d d)) h) (* M (/ M l))) (/ (* (* (* D M) M) D) (* l (* d d))) (* (* (* D M) M) D) (* (/ D (* d l)) (* M M)) (/ D (* d l)) (* (* (/ D (* d l)) (* M M)) (/ D d)))
9.0ms
h
@inf
((* w0 (sqrt (+ (* (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D)) 1) (* (* h -1/2) (* D M)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (* (* (* h (* M M)) D) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* (/ w0 (* d d)) h) (* M (/ M l))) (* -1/8 (* D D))) w0) (* (/ w0 (* d d)) h) (/ w0 (* d d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* D M) M) D) (* l (* d d)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (* (/ D (* d l)) (* M M)) (/ D d))) 1) (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D) (/ (* (* (* h (* M M)) D) D) (* l (* d d))) (* h (* M M)) (* l (* d d)) (* (* (/ w0 (* d d)) h) (* M (/ M l))) (/ (* (* (* D M) M) D) (* l (* d d))) (* (* (* D M) M) D) (* (/ D (* d l)) (* M M)) (/ D (* d l)) (* (* (/ D (* d l)) (* M M)) (/ D d)))
5.0ms
l
@-inf
((* w0 (sqrt (+ (* (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D)) 1) (* (* h -1/2) (* D M)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (* (* (* h (* M M)) D) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* (/ w0 (* d d)) h) (* M (/ M l))) (* -1/8 (* D D))) w0) (* (/ w0 (* d d)) h) (/ w0 (* d d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* D M) M) D) (* l (* d d)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (* (/ D (* d l)) (* M M)) (/ D d))) 1) (/ (* (* h -1/2) (* D M)) (* l d)) (* (* (/ 1/2 d) M) D) (/ (* (* (* h (* M M)) D) D) (* l (* d d))) (* h (* M M)) (* l (* d d)) (* (* (/ w0 (* d d)) h) (* M (/ M l))) (/ (* (* (* D M) M) D) (* l (* d d))) (* (* (* D M) M) D) (* (/ D (* d l)) (* M M)) (/ D (* d l)) (* (* (/ D (* d l)) (* M M)) (/ D d)))

simplify487.0ms (3.5%)

Memory
11.9MiB live, 272.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 468×lower-*.f64
8 468×lower-*.f32
6 708×lower-fma.f64
6 708×lower-fma.f32
4 642×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068235835
1234935651
0847834602
Stop Event
1×iter limit
1×node limit
Counts
1 596 → 1 547
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 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* -1/8 w0)
(* -1/8 w0)
(* -1/8 w0)
(* -1/8 w0)
(* 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 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(/ (* h w0) (pow d 2))
(/ (* h w0) (pow d 2))
(/ (* h w0) (pow d 2))
(/ (* h w0) (pow d 2))
(/ w0 (pow d 2))
(/ w0 (pow d 2))
(/ w0 (pow d 2))
(/ w0 (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))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
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1
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w0
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1
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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 (* -1/4 (/ (* (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))))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/ (* (pow D 2) (* (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 M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* D (pow M 2)) (* d l))
(/ (* D (pow M 2)) (* d l))
(/ (* D (pow M 2)) (* d l))
(/ (* D (pow M 2)) (* d l))
(/ D (* d l))
(/ D (* d l))
(/ D (* d l))
(/ D (* d l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) 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)))))))
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 (+ (* -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
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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))))
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))))))
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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))))
(+ 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))))
(+ 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))))
(/ (* h w0) (pow d 2))
(/ (* h w0) (pow d 2))
(/ (* h w0) (pow d 2))
(/ (* h w0) (pow d 2))
(/ w0 (pow d 2))
(/ w0 (pow d 2))
(/ w0 (pow d 2))
(/ w0 (pow d 2))
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)))))))
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 (+ (* -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
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1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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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))))))
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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 (+ (* -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
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(+ 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))))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/ (* (pow D 2) (* (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 M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* D (pow M 2)) (* d l))
(/ (* D (pow M 2)) (* d l))
(/ (* D (pow M 2)) (* d l))
(/ (* D (pow M 2)) (* d l))
(/ D (* d l))
(/ D (* d l))
(/ D (* d l))
(/ D (* d l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
Outputs
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(* -1/8 w0)
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(* -1/8 w0)
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(* -1/8 w0)
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(* -1/8 w0)
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(* 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))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
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(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
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(/ (* h w0) (pow d 2))
(*.f64 (/.f64 h d) (/.f64 w0 d))
(/ (* h w0) (pow d 2))
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(/ (* h w0) (pow d 2))
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(/ (* h w0) (pow d 2))
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(/ w0 (pow d 2))
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(/ w0 (pow d 2))
(/.f64 w0 (*.f64 d d))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* 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))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
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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))))) (+ (* 1/2 (* (/ (* 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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(* 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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(* (/ (* 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))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (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)))))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
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(* -1/2 (* D (* M h)))
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(* -1/2 (* D (* M h)))
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(* -1/2 (* D (* M h)))
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(* -1/2 (* D (* M h)))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* 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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(* 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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(* 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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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
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(* (pow D 2) (* (pow M 2) h))
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(* 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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(* 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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(* 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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(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
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(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* 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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(* 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 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* 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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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* (/ (* D (* 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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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* 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))))))
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(* 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)))))))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* 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 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d D) D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* 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 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d D) D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* 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))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* 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)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* -1/4 (/ (* (pow D 2) (* (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)))))
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(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) 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))))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))) 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)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) 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))))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (pow.f64 d #s(literal 4 binary64))) #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 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 6 binary64))) #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 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) 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 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d)))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* D (pow M 2)) (* d l))
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 D l))
(/ (* D (pow M 2)) (* d l))
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 D l))
(/ (* D (pow M 2)) (* d l))
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 D l))
(/ (* D (pow M 2)) (* d l))
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 D l))
(/ D (* d l))
(/.f64 D (*.f64 l d))
(/ D (* d l))
(/.f64 D (*.f64 l d))
(/ D (* d l))
(/.f64 D (*.f64 l d))
(/ D (* d l))
(/.f64 D (*.f64 l d))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))

rewrite231.0ms (1.7%)

Memory
13.0MiB live, 324.3MiB allocated
Rules
5 324×lower-*.f32
5 272×lower-*.f64
4 494×lower-/.f32
4 478×lower-/.f64
2 794×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079608
0127606
1441576
23090576
09156576
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
31 → 948
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(literal -1/8 binary64))
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0)
(*.f64 (/.f64 w0 (*.f64 d d)) h)
(/.f64 w0 (*.f64 d d))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d)))
(*.f64 h (*.f64 M M))
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l)))
(/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (*.f64 D M) M) D)
(*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M))
(/.f64 D (*.f64 d l))
(*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d))
Outputs
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d))) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d))) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d))) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d)))) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d))) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d))) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d)))) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d))) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d)) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(/.f64 (neg.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M D) l))) (neg.f64 (/.f64 d D)))
(/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) d) d)
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 (/.f64 D d) d)) l)
(/.f64 (*.f64 (neg.f64 D) (*.f64 (/.f64 M d) (/.f64 (*.f64 M D) l))) (neg.f64 d))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 M d) (/.f64 (*.f64 M D) l))) (/.f64 d D))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D d)) (*.f64 d l))
(/.f64 (*.f64 (neg.f64 D) (*.f64 M (*.f64 M (/.f64 D d)))) (*.f64 (neg.f64 d) l))
(/.f64 (*.f64 (/.f64 D d) (*.f64 M (*.f64 M (/.f64 D d)))) l)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 M (*.f64 M (/.f64 D d)))) (*.f64 l (/.f64 d D)))
(/.f64 (*.f64 D (*.f64 M (*.f64 M (/.f64 D d)))) (*.f64 d l))
(/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M l) M)) D) (*.f64 d d))
(/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) D)) (*.f64 d l))
(/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M D) l)) (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M D) l)) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d)) l)
(/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l)) (*.f64 (neg.f64 d) d))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 d) (*.f64 d l))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 l) (*.f64 d d))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d l))) (neg.f64 d))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 M M) D)) (*.f64 (/.f64 d D) (*.f64 d l)))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1 binary64)) (*.f64 (*.f64 d l) (/.f64 d D)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d d) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) l) (pow.f64 (*.f64 M D) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d l)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 d d) l) (pow.f64 (*.f64 M D) #s(literal -2 binary64)))))
(/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) (*.f64 d d))
(/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d l)) d)
(/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.f64 (neg.f64 d) (*.f64 d l)))
(/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.f64 (neg.f64 l) (*.f64 d d)))
(/.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M D) l)) (/.f64 d D))
(/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 d d) l) (pow.f64 (*.f64 M D) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 d d) l) (pow.f64 (*.f64 M D) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d l))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 d d) l) (pow.f64 (*.f64 M D) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.f64 (*.f64 d d) l)))
(neg.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (neg.f64 l) (*.f64 d d))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 d d) l) (pow.f64 (*.f64 M D) #s(literal -2 binary64)))) #s(literal -1 binary64)))

eval303.0ms (2.2%)

Memory
28.9MiB live, 528.3MiB allocated
Compiler

Compiled 71 349 to 3 939 computations (94.5% saved)

prune242.0ms (1.7%)

Memory
9.2MiB live, 521.2MiB allocated
Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New2 504192 523
Fresh13821
Picked505
Done123
Total2 523292 552
Accuracy
93.3%
Counts
2 552 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
77.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 D h)) (*.f64 d l)) #s(literal 1 binary64))))
✓87.0%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
81.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D (*.f64 d l)) (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
53.9%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))))
71.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64)))))
66.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 d l)) (/.f64 M d)) #s(literal 1 binary64)))))
84.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) M)) (/.f64 D d)) #s(literal 1 binary64)))))
82.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 D (*.f64 d l)) M)) M) #s(literal 1 binary64)))))
74.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
57.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
16.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
14.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
52.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
✓68.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
57.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 h (/.f64 M l)) M)) d) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
55.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) (neg.f64 M)) w0) (*.f64 (neg.f64 l) (*.f64 d d))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
49.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
49.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 w0 (/.f64 h (*.f64 d d))) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
56.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 (*.f64 (neg.f64 d) l) d)) w0))
49.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
67.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M h) M) D) D) (*.f64 l (*.f64 d d))) w0)))
69.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
55.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
51.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
63.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
76.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d l)) (/.f64 D d)) w0)))
59.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 (*.f64 D D) d)) w0)))
68.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
Compiler

Compiled 2 324 to 894 computations (61.5% saved)

regimes287.0ms (2.1%)

Memory
-24.2MiB live, 515.7MiB allocated
Counts
69 → 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M h) M) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 (*.f64 (neg.f64 d) l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) (neg.f64 M)) w0) (*.f64 (neg.f64 l) (*.f64 d d))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 (*.f64 D D) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d l)) (/.f64 D d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 w0 (/.f64 h (*.f64 d d))) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (*.f64 M (/.f64 M l))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 d)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 h (/.f64 M l)) M)) d) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 D (*.f64 d l)) M)) M) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 d l)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (/.f64 M (*.f64 d d))) l) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D (*.f64 d l)) (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 (neg.f64 M) (*.f64 M D))) (neg.f64 d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 D h)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) M)) (/.f64 D d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (*.f64 (neg.f64 h) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) h))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.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 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #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 binary64) (*.f64 M M)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 h (*.f64 l (*.f64 d d))))) (*.f64 M M)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #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)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) l) (neg.f64 h) #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) (pow.f64 h #s(literal -1 binary64)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 h #s(literal -1 binary64)))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) d) l) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 h #s(literal -1 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
Calls

15 calls:

34.0ms
(*.f64 M D)
20.0ms
h
19.0ms
d
19.0ms
w0
19.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
90.7%1w0
90.7%1M
90.7%1D
90.7%1h
90.7%1l
90.7%1d
90.7%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)))))
90.7%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))))
90.7%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)))
90.7%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
90.7%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
90.7%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
90.7%1(*.f64 M D)
90.7%1(*.f64 #s(literal 2 binary64) d)
90.7%1(/.f64 h l)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes273.0ms (2%)

Memory
-11.2MiB live, 495.6MiB allocated
Counts
64 → 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M h) M) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 (*.f64 (neg.f64 d) l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) (neg.f64 M)) w0) (*.f64 (neg.f64 l) (*.f64 d d))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 (*.f64 D D) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d l)) (/.f64 D d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 w0 (/.f64 h (*.f64 d d))) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (*.f64 M (/.f64 M l))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 d)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 h (/.f64 M l)) M)) d) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 D (*.f64 d l)) M)) M) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 d l)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (/.f64 M (*.f64 d d))) l) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D (*.f64 d l)) (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 (neg.f64 M) (*.f64 M D))) (neg.f64 d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 D h)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) M)) (/.f64 D d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (*.f64 (neg.f64 h) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) h))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.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 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #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 binary64) (*.f64 M M)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 h (*.f64 l (*.f64 d d))))) (*.f64 M M)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #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)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) l) (neg.f64 h) #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) (pow.f64 h #s(literal -1 binary64)))))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
Calls

15 calls:

24.0ms
h
22.0ms
(*.f64 M D)
21.0ms
M
20.0ms
l
19.0ms
(*.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
89.7%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)))))
89.7%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))))
89.7%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)))
89.7%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
89.7%1h
89.7%1l
89.7%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
89.7%1(*.f64 M D)
89.7%1w0
89.7%1M
91.3%2D
89.7%1d
89.7%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
89.7%1(*.f64 #s(literal 2 binary64) d)
89.7%1(/.f64 h l)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes78.0ms (0.6%)

Memory
1.5MiB live, 120.7MiB allocated
Counts
62 → 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M h) M) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 (*.f64 (neg.f64 d) l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) (neg.f64 M)) w0) (*.f64 (neg.f64 l) (*.f64 d d))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 (*.f64 D D) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d l)) (/.f64 D d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 w0 (/.f64 h (*.f64 d d))) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (*.f64 M (/.f64 M l))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 d)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 h (/.f64 M l)) M)) d) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 D (*.f64 d l)) M)) M) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 d l)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (/.f64 M (*.f64 d d))) l) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D (*.f64 d l)) (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 (neg.f64 M) (*.f64 M D))) (neg.f64 d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 D h)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) M)) (/.f64 D d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (*.f64 (neg.f64 h) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) h))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.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 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #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 binary64) (*.f64 M M)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 h (*.f64 l (*.f64 d d))))) (*.f64 M M)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #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 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
Calls

4 calls:

20.0ms
(*.f64 #s(literal 2 binary64) d)
19.0ms
h
19.0ms
d
16.0ms
D
Results
AccuracySegmentsBranch
89.7%1h
89.7%1d
89.7%1(*.f64 #s(literal 2 binary64) d)
89.7%1D
Compiler

Compiled 30 to 26 computations (13.3% saved)

regimes272.0ms (2%)

Memory
-2.6MiB live, 351.2MiB allocated
Counts
60 → 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M h) M) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 (*.f64 (neg.f64 d) l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) (neg.f64 M)) w0) (*.f64 (neg.f64 l) (*.f64 d d))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 (*.f64 D D) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d l)) (/.f64 D d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 w0 (/.f64 h (*.f64 d d))) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (*.f64 M (/.f64 M l))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 d)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 h (/.f64 M l)) M)) d) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 D (*.f64 d l)) M)) M) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 d l)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (/.f64 M (*.f64 d d))) l) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D (*.f64 d l)) (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 (neg.f64 M) (*.f64 M D))) (neg.f64 d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 D h)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) M)) (/.f64 D d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (*.f64 (neg.f64 h) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) h))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.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 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #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 binary64) (*.f64 M M)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 h (*.f64 l (*.f64 d d))))) (*.f64 M M)))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
Calls

15 calls:

21.0ms
w0
21.0ms
D
21.0ms
(*.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)))))
21.0ms
(-.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)))
20.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Results
AccuracySegmentsBranch
89.7%2M
90.9%2D
90.6%3l
90.2%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)))))
90.2%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))))
90.2%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)))
91.0%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
91.0%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
90.9%2(*.f64 M D)
87.0%1w0
90.2%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
89.6%2(/.f64 h l)
88.9%2h
91.1%2d
91.1%2(*.f64 #s(literal 2 binary64) d)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes50.0ms (0.4%)

Memory
26.0MiB live, 72.8MiB allocated
Counts
57 → 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M h) M) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 (*.f64 (neg.f64 d) l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) (neg.f64 M)) w0) (*.f64 (neg.f64 l) (*.f64 d d))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 (*.f64 D D) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d l)) (/.f64 D d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 w0 (/.f64 h (*.f64 d d))) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (*.f64 M (/.f64 M l))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 d)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 h (/.f64 M l)) M)) d) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 D (*.f64 d l)) M)) M) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 d l)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (/.f64 M (*.f64 d d))) l) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D (*.f64 d l)) (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 (neg.f64 M) (*.f64 M D))) (neg.f64 d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 D h)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) M)) (/.f64 D d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (*.f64 (neg.f64 h) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) h))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.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 #s(approx (* (/ h l) (/ (* (* D M) -1/2) d)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) M)) (/.f64 D d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
Calls

3 calls:

18.0ms
d
15.0ms
(*.f64 #s(literal 2 binary64) d)
13.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Results
AccuracySegmentsBranch
91.0%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
89.5%2d
89.5%2(*.f64 #s(literal 2 binary64) d)
Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes174.0ms (1.3%)

Memory
-21.9MiB live, 294.6MiB allocated
Counts
53 → 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M h) M) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 (*.f64 (neg.f64 d) l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) (neg.f64 M)) w0) (*.f64 (neg.f64 l) (*.f64 d d))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 (*.f64 D D) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d l)) (/.f64 D d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 w0 (/.f64 h (*.f64 d d))) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (*.f64 M (/.f64 M l))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 d)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 h (/.f64 M l)) M)) d) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 D (*.f64 d l)) M)) M) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 d l)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (/.f64 M (*.f64 d d))) l) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D (*.f64 d l)) (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 (neg.f64 M) (*.f64 M D))) (neg.f64 d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 D h)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D M)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) d) 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 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
Calls

12 calls:

17.0ms
D
16.0ms
M
15.0ms
d
15.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
15.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
87.0%1d
87.0%1(*.f64 #s(literal 2 binary64) d)
87.0%1(/.f64 h l)
87.0%1M
87.0%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)))))
87.0%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))))
87.0%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)))
87.0%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
89.4%2(*.f64 M D)
89.4%2D
87.0%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
88.7%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Compiler

Compiled 162 to 122 computations (24.7% saved)

regimes217.0ms (1.6%)

Memory
12.7MiB live, 252.1MiB allocated
Counts
50 → 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M h) M) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 (*.f64 (neg.f64 d) l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) (neg.f64 M)) w0) (*.f64 (neg.f64 l) (*.f64 d d))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 (*.f64 D D) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d l)) (/.f64 D d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 w0 (/.f64 h (*.f64 d d))) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (*.f64 M (/.f64 M l))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 d)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 h (/.f64 M l)) M)) d) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 D (*.f64 d l)) M)) M) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 M M)) (/.f64 D d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 d l)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (/.f64 M (*.f64 d d))) l) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D (*.f64 d l)) (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (/.f64 D (*.f64 d l)) (*.f64 (neg.f64 M) (*.f64 M D))) (neg.f64 d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 D h)) (*.f64 d 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 D (*.f64 d l)) M)) M) #s(literal 1 binary64)))))
Calls

15 calls:

28.0ms
M
19.0ms
(/.f64 h l)
15.0ms
(*.f64 #s(literal 2 binary64) d)
14.0ms
D
14.0ms
h
Results
AccuracySegmentsBranch
84.5%2M
84.7%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(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 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
85.2%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
85.4%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
83.9%2(/.f64 h l)
82.3%1w0
85.2%2d
85.2%2(*.f64 #s(literal 2 binary64) d)
85.4%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
85.6%3h
82.3%1l
84.7%2D
84.9%2(*.f64 M D)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes173.0ms (1.3%)

Memory
14.6MiB live, 204.4MiB allocated
Counts
38 → 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M h) M) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 (*.f64 (neg.f64 d) l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) (neg.f64 M)) w0) (*.f64 (neg.f64 l) (*.f64 d d))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 (*.f64 D D) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d l)) (/.f64 D d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 w0 (/.f64 h (*.f64 d d))) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (*.f64 M (/.f64 M l))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 d)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 h (/.f64 M l)) M)) d) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
Outputs
(*.f64 w0 #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))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
Calls

15 calls:

23.0ms
w0
14.0ms
M
14.0ms
(*.f64 #s(literal 2 binary64) d)
12.0ms
(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))))
10.0ms
l
Results
AccuracySegmentsBranch
76.3%1l
76.3%1w0
79.4%2(/.f64 h l)
76.3%1h
81.4%2M
82.8%2D
82.8%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)))))
83.4%2(*.f64 M D)
83.2%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
79.8%2d
79.8%2(*.f64 #s(literal 2 binary64) d)
82.2%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
82.2%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
83.4%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))))
83.4%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)))
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes65.0ms (0.5%)

Memory
-17.0MiB live, 97.9MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M h) M) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 (*.f64 (neg.f64 d) l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) (neg.f64 M)) w0) (*.f64 (neg.f64 l) (*.f64 d d))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 (*.f64 D D) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d l)) (/.f64 D d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 w0 (/.f64 h (*.f64 d d))) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (*.f64 M (/.f64 M l))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

8 calls:

11.0ms
(-.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)))
10.0ms
D
8.0ms
(*.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)))))
7.0ms
(*.f64 M D)
7.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Results
AccuracySegmentsBranch
80.6%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
80.6%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
80.4%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)))))
79.0%2D
82.0%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
81.0%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))))
81.0%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)))
82.4%3(*.f64 M D)
Compiler

Compiled 130 to 95 computations (26.9% saved)

regimes35.0ms (0.3%)

Memory
13.9MiB live, 52.2MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M h) M) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 (*.f64 (neg.f64 d) l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) (neg.f64 M)) w0) (*.f64 (neg.f64 l) (*.f64 d d))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 (*.f64 D D) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d l)) (/.f64 D d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 w0 (/.f64 h (*.f64 d d))) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (*.f64 M (/.f64 M l))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d l)) (/.f64 D d)) w0)))
Calls

5 calls:

7.0ms
M
7.0ms
(*.f64 M D)
7.0ms
(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))))
6.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
6.0ms
(-.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
82.4%3(*.f64 M D)
80.4%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))))
80.4%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)))
80.6%2M
80.6%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 78 to 57 computations (26.9% saved)

regimes37.0ms (0.3%)

Memory
5.1MiB live, 51.5MiB 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M h) M) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 (*.f64 (neg.f64 d) l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) (neg.f64 M)) w0) (*.f64 (neg.f64 l) (*.f64 d d))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 (*.f64 D D) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d l)) (/.f64 D d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 w0 (/.f64 h (*.f64 d d))) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (*.f64 M (/.f64 M l))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

5 calls:

9.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
7.0ms
M
7.0ms
(*.f64 M D)
6.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
6.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
80.5%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
79.8%2M
80.4%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
80.4%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
79.6%2(*.f64 M D)
Compiler

Compiled 63 to 47 computations (25.4% saved)

regimes22.0ms (0.2%)

Memory
-2.3MiB live, 36.4MiB 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 D D))) (*.f64 l (*.f64 d d))) w0)))
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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
Calls

10 calls:

3.0ms
(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))))
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 #s(literal 2 binary64) d)
2.0ms
d
2.0ms
M
Results
AccuracySegmentsBranch
78.9%2(*.f64 M D)
79.0%2M
73.6%2d
73.6%2(*.f64 #s(literal 2 binary64) d)
78.7%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)))))
78.8%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))))
78.8%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)))
79.6%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
79.6%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
79.4%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 146 to 109 computations (25.3% saved)

regimes6.0ms (0%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
2 → 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
Calls

4 calls:

1.0ms
(/.f64 h l)
1.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
1.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
1.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
73.9%2(/.f64 h l)
78.7%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
79.3%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
79.3%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Compiler

Compiled 56 to 41 computations (26.8% saved)

regimes21.0ms (0.1%)

Memory
1.6MiB live, 39.9MiB 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
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
M
1.0ms
(*.f64 #s(literal 2 binary64) d)
1.0ms
h
Results
AccuracySegmentsBranch
68.2%1d
68.2%1(*.f64 #s(literal 2 binary64) d)
68.2%1(/.f64 h l)
68.2%1w0
68.2%1h
68.2%1l
68.2%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
68.2%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)))))
68.2%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))))
68.2%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)))
68.2%1(*.f64 M D)
68.2%1M
68.2%1D
68.2%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
68.2%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Compiler

Compiled 183 to 140 computations (23.5% saved)

bsearch7.0ms (0%)

Memory
-31.1MiB live, 7.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
4.0ms
0.05330242069406285
12800.351066284507
Samples
3.0ms32×0valid
Compiler

Compiled 137 to 106 computations (22.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (54.6% of total)
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-pow2: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.297845287424294e-109
7.549713896805194e-106
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.326245349673667e+51
4.761530138257853e+53
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
5.4982572233745195e-36
5.551178478558927e-36
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
32.558092818951046
2.3028255492260256e+31
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.6603883170984322e-73
1.1763589207650192e-69
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.3028255492260256e+31
-31.558092818951046
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.5355881689750576e+221
9.435095296548519e+224
0.0ms
1.6603883170984322e-73
1.1763589207650192e-69
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-6.316182077206691e+137
-1.3386080497764976e+98
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.5340891461290343e+202
4.843067191578589e+204
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
9.521165083082957e+192
1.908846011770605e+194
Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify50.0ms (0.4%)

Memory
-9.8MiB live, 46.7MiB allocated
Algorithm
1×egg-herbie
Rules
122×*-commutative-binary64-*.f64
30×+-commutative-binary64-+.f64
30×sub-neg-binary64-neg.f64-+.f64--.f64
28×neg-sub0-binary64--.f64-neg.f64
28×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189907
1252907
2270907
3290907
4312907
5328907
6340907
7347907
8349907
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 D #s(literal 50 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) l) (neg.f64 h) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 4230758200257591/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 4999999999999999966104743371808139882308542209720320 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) M)) (/.f64 D d)) #s(literal 1 binary64))))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))))
(if (<=.f64 D #s(literal 8231177221447645/1496577676626844588240573268701473812127674924007424 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 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 50 binary64)) (*.f64 w0 #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))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 D (*.f64 d l)) M)) M) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 M D) #s(literal 6365737426045269/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (*.f64 w0 #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))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) 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 -19999999999999999271792589930496 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 M D) #s(literal 6365737426045269/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 500000000000000023300903587410348784202542904974688430710490229009341390661543149786383856107097856160516988297992744932658630833003449045680311048746321720293715063683658110949743602947527619163229867885780121392177479680 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d l)) (/.f64 D 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 -500000000000000016420781244602463039493506283179805847756156713129373503449393997772000657813863706341974752392161217789324245317105745920 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 49999999999999999438455393753164723825467229914774961498751742442014630591180933422221348473000344922592960267277821122740746306537869061820762693597271311957371597483119525588936543990108212932301029376 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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0))))
(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 10000000000000000662275133196073022890814778906781692175574718614061870706920546714670378554471083956139627305190456203824330868103505742897540916997511012040520808812168041334151877325366493184 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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))))
(*.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 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))) w0)
(if (<=.f64 D #s(literal 50 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) l) (neg.f64 h) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))))
(if (<=.f64 D #s(literal 50 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d M) D)) #s(literal -2 binary64)) l) (neg.f64 h) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l d)) h) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) w0))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) (*.f64 #s(literal 1/2 binary64) D)) (neg.f64 l)) #s(literal 1 binary64))) w0)
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 4230758200257591/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D h) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 #s(literal -1/2 binary64) d))) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 4230758200257591/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 M D) l)) (*.f64 h D)) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l d)) h) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) w0))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 4999999999999999966104743371808139882308542209720320 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) M)) (/.f64 D d)) #s(literal 1 binary64))))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 4999999999999999966104743371808139882308542209720320 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (*.f64 (/.f64 M l) M) (/.f64 D d)) (/.f64 D d)) #s(literal 1 binary64)))) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l d)) h) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) w0))
(if (<=.f64 D #s(literal 8231177221447645/1496577676626844588240573268701473812127674924007424 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 h (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))))
(if (<=.f64 D #s(literal 8231177221447645/1496577676626844588240573268701473812127674924007424 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l d)) h) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) w0))
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(if (<=.f64 (*.f64 M D) #s(literal 6365737426045269/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 500000000000000023300903587410348784202542904974688430710490229009341390661543149786383856107097856160516988297992744932658630833003449045680311048746321720293715063683658110949743602947527619163229867885780121392177479680 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d l)) (/.f64 D d)) w0)))))
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(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 49999999999999999438455393753164723825467229914774961498751742442014630591180933422221348473000344922592960267277821122740746306537869061820762693597271311957371597483119525588936543990108212932301029376 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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0))))
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(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)

soundness1.9s (13.9%)

Memory
-126.6MiB live, 1 404.1MiB allocated
Rules
10 584×lower-*.f64
10 584×lower-*.f32
10 444×lower-*.f64
10 444×lower-*.f32
8 912×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075584
0126584
1428568
23142568
08576568
01769
02669
18269
255069
3704769
0863569
079608
0127606
1441576
23090576
09156576
068935708
1237135540
0853434508
06267690
121857668
084757462
066036983
1228636711
0819335621
060477
0100486
1340417
22937403
08528403
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 904 to 975 computations (48.8% saved)

preprocess318.0ms (2.3%)

Memory
4.4MiB live, 399.9MiB allocated
Remove

(negabs w0)

(abs d)

Compiler

Compiled 4 388 to 2 512 computations (42.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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