Henrywood and Agarwal, Equation (9a)

Time bar (total: 13.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze507.0ms (3.8%)

Memory
12.4MiB live, 911.2MiB 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)

sample2.1s (15.8%)

Memory
26.3MiB live, 2 908.2MiB allocated
Samples
1.2s8 256×0valid
309.0ms2 748×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 500.0ms (45.5% of total)
ival-pow2: 239.0ms (21.8% of total)
ival-div: 195.0ms (17.7% of total)
ival-sqrt: 86.0ms (7.8% of total)
ival-sub: 55.0ms (5% of total)
exact: 12.0ms (1.1% of total)
ival-true: 8.0ms (0.7% of total)
ival-assert: 5.0ms (0.5% of total)
Bogosity

explain214.0ms (1.6%)

Memory
1.0MiB live, 310.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-2(-2.5274467325114806e+40 -8.153185843285956e-119 28.352234686118965 4.472082654767808e+284 2.4995187940632334e+179 3.3854973166630033e+43)(*.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))))
260-2(7.958647379940396e+35 1.8366222752976813e-224 6.97552485744183e-87 7.245153865248152e-164 -1.2667019904418325e+72 -6.955551842641312e-92)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
50-0-(*.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))overflow49
↳(-.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)))overflow55
↳(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))))overflow29
↳(*.f64 #s(literal 2 binary64) d)overflow1
↳(*.f64 M D)overflow23
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow23
↳(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))overflow55
↳(/.f64 h l)overflow25
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n100
↳(*.f64 M D)overflow23
*.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*o50
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))n*o40
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))o*u20
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow49
↳(*.f64 #s(literal 2 binary64) d)overflow1
↳(*.f64 M D)overflow23
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow23
↳(/.f64 h l)underflow33
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))u/n10
↳(*.f64 M D)underflow36
Confusion
Predicted +Predicted -
+3310
-10203
Precision
0.7674418604651163
Recall
0.7674418604651163
Confusion?
Predicted +Predicted MaybePredicted -
+33010
-100203
Precision?
0.7674418604651163
Recall?
0.7674418604651163
Freqs
test
numberfreq
0213
138
25
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
60.0ms512×0valid
Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 15.0ms (41.7% of total)
ival-div: 8.0ms (22.2% of total)
ival-pow2: 5.0ms (13.9% of total)
ival-sub: 3.0ms (8.3% of total)
ival-sqrt: 3.0ms (8.3% of total)
exact: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess143.0ms (1.1%)

Memory
23.6MiB live, 214.9MiB allocated
Algorithm
1×egg-herbie
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 18 to 17 computations (5.6% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 6 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶83.7%
(*.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 18 to 17 computations (5.6% saved)

simplify119.0ms (0.9%)

Memory
-9.1MiB live, 146.3MiB 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)))))
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

localize43.0ms (0.3%)

Memory
22.9MiB live, 94.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy1.2154286795356166
(*.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)))))
accuracy5.868141249157794
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy6.085506398125807
(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))))
accuracy8.140442833470493
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Samples
34.0ms256×0valid
Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 8.0ms (36.1% of total)
ival-mult: 8.0ms (36.1% of total)
ival-pow2: 3.0ms (13.5% of total)
ival-sqrt: 2.0ms (9% of total)
ival-sub: 1.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series80.0ms (0.6%)

Memory
-5.1MiB live, 155.8MiB 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>) () ())) ())
#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>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
10.0ms
w0
@-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)))
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
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)))
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)))
5.0ms
M
@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)))

simplify171.0ms (1.3%)

Memory
-10.1MiB live, 264.0MiB allocated
Algorithm
1×egg-herbie
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
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
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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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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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(* 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))
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w0
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1
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rewrite200.0ms (1.5%)

Memory
-10.3MiB live, 271.6MiB allocated
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)))
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(*.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)))

eval94.0ms (0.7%)

Memory
-20.4MiB live, 209.1MiB allocated
Compiler

Compiled 20 475 to 2 864 computations (86% saved)

prune103.0ms (0.8%)

Memory
10.9MiB live, 212.6MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New67913692
Fresh000
Picked101
Done000
Total68013693
Accuracy
91.5%
Counts
693 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶85.2%
(*.f64 w0 (/.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))))))
89.2%
(*.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))))
80.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
▶81.7%
(*.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))))
▶90.4%
(*.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))))
82.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)))))))
59.0%
(*.f64 w0 (sqrt.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)) (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)))))
66.7%
(*.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 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
54.0%
(*.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))))))
▶14.2%
(*.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)))))
51.8%
(*.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))))
▶70.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
50.7%
#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 578 to 502 computations (13.1% saved)

simplify118.0ms (0.9%)

Memory
12.8MiB live, 171.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.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)))
cost-diff0
(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))))
cost-diff0
(/.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)))))
cost-diff320
(*.f64 w0 (/.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))))))
cost-diff0
(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))
cost-diff0
(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)))
cost-diff0
(*.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))))
cost-diff128
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
cost-diff0
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
cost-diff0
#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)))
cost-diff0
(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))))
cost-diff0
(*.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)))))
cost-diff0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
cost-diff0
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #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)))
cost-diff0
(*.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))))
cost-diff128
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
cost-diff320
(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))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063570
0107576
1212574
2666554
34147554
47272554
08143554
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.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))))
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)))
(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 (*.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)
d
M
D
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
(*.f64 D #s(literal 1/2 binary64))
(*.f64 (/.f64 M d) h)
(/.f64 M d)
h
(neg.f64 l)
l
#s(literal 1 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
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))))
#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 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
(/.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
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 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))))
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)))
(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 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 D d)
D
d
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
M
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 w0 (/.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))))))
w0
(/.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)))))
#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))))
(/.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)))
(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 (neg.f64 h) l)
(neg.f64 h)
h
l
(pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))
(/.f64 (/.f64 d M) D)
(/.f64 d M)
d
M
D
#s(literal 2 binary64)
#s(literal -2 binary64)
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))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) w0)
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)))
(sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(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))
(fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#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))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) h) (/.f64 (/.f64 M d) l))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
(*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))
(*.f64 D #s(literal 1/2 binary64))
(*.f64 (/.f64 M d) h)
(*.f64 h (/.f64 M d))
(/.f64 M d)
h
(neg.f64 l)
l
#s(literal 1 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64))))) w0)
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))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)))))
#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)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #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 D M))
(*.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
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 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 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) w0)
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)))
(sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(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))
(fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) d) #s(literal -1/4 binary64)) (/.f64 h l))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(*.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)
#s(literal 1 binary64)
(*.f64 w0 (/.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))))))
(/.f64 w0 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)))))
w0
(/.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)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)))))
#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 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (neg.f64 h) l) #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)))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (neg.f64 h) l) #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))
(fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (neg.f64 h) l) #s(literal 1 binary64))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))
(/.f64 (/.f64 d M) D)
(/.f64 d M)
d
M
D
#s(literal 2 binary64)
#s(literal -2 binary64)

localize243.0ms (1.8%)

Memory
5.9MiB live, 283.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy1.2154286795356166
(*.f64 w0 (/.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))))))
accuracy4.4993875878965595
(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))
accuracy5.426684807016099
(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))))
accuracy7.949122398267417
(/.f64 (/.f64 d M) D)
accuracy2.1777987373428087
(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))
accuracy6.085506398125807
(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)))
accuracy8.908490510810692
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
accuracy11.512089596952961
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
accuracy6.669935178837436
(*.f64 l (*.f64 d d))
accuracy7.973063310479581
(*.f64 (*.f64 M M) D)
accuracy15.002391865920314
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
accuracy43.48712586471369
#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)))
accuracy1.2154286795356166
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy18.88302192179537
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy6.042578775037079
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
accuracy6.085506398125807
(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)))
accuracy7.4374894383560255
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy8.359747160187485
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
Samples
191.0ms256×0valid
Compiler

Compiled 525 to 64 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-mult: 77.0ms (55.3% of total)
ival-div: 43.0ms (30.9% of total)
ival-sqrt: 6.0ms (4.3% of total)
ival-add: 3.0ms (2.2% of total)
ival-pow: 3.0ms (2.2% of total)
ival-neg: 2.0ms (1.4% of total)
ival-pow2: 2.0ms (1.4% of total)
ival-sub: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series518.0ms (3.9%)

Memory
-23.0MiB live, 339.0MiB allocated
Counts
26 → 1 452
Calls
Call 1
Inputs
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) (patch #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.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))))) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)) (patch (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (patch (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.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)))) (patch (*.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)))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (/.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)))))) (patch (*.f64 w0 (/.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)))))) #<representation binary64>) () ())
#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) #<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 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 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 d M) D) (patch (/.f64 (/.f64 d M) D) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
Outputs
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#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>) () ())) ())
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#s(alt (/ d (* D M)) (taylor -inf d) (#s(alt (/.f64 (/.f64 d M) D) (patch (/.f64 (/.f64 d M) D) #<representation binary64>) () ())) ())
#s(alt (/ d (* D M)) (taylor -inf d) (#s(alt (/.f64 (/.f64 d M) D) (patch (/.f64 (/.f64 d M) D) #<representation binary64>) () ())) ())
#s(alt (/ d (* D M)) (taylor -inf d) (#s(alt (/.f64 (/.f64 d M) D) (patch (/.f64 (/.f64 d M) D) #<representation binary64>) () ())) ())
#s(alt (/ d (* D M)) (taylor -inf d) (#s(alt (/.f64 (/.f64 d M) D) (patch (/.f64 (/.f64 d M) D) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
158.0ms
l
@-inf
((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 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))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))) (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (/ (* (* (* M M) D) D) (* l (* d d))) (* (* M M) D) (* l (* d d)) (* (/ D d) (* (* M M) 1/4)) (/ (/ d M) D) (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))
48.0ms
h
@-inf
((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 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))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))) (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (/ (* (* (* M M) D) D) (* l (* d d))) (* (* M M) D) (* l (* d d)) (* (/ D d) (* (* M M) 1/4)) (/ (/ d M) D) (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))
40.0ms
d
@-inf
((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 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))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))) (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (/ (* (* (* M M) D) D) (* l (* d d))) (* (* M M) D) (* l (* d d)) (* (/ D d) (* (* M M) 1/4)) (/ (/ d M) D) (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))
30.0ms
M
@inf
((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 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))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))) (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (/ (* (* (* M M) D) D) (* l (* d d))) (* (* M M) D) (* l (* d d)) (* (/ D d) (* (* M M) 1/4)) (/ (/ d M) D) (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))
24.0ms
D
@-inf
((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 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))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))) (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (/ (* (* (* M M) D) D) (* l (* d d))) (* (* M M) D) (* l (* d d)) (* (/ D d) (* (* M M) 1/4)) (/ (/ d M) D) (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))

simplify409.0ms (3%)

Memory
24.0MiB live, 615.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124741610
1446341079
0903339857
Stop Event
1×iter limit
1×node limit
Counts
1 452 → 1 417
Calls
Call 1
Inputs
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (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 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (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))))))
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))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (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))))
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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)))
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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
1
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/2 (* h (+ (* -1/16 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* 1/64 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2))))))) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))
(+ 1 (* h (+ (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/2 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (+ (* -1/16 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* 1/64 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2))))))) (* (pow d 2) l))) (* -1/64 (/ (* (pow D 6) (pow M 6)) (* (pow d 6) (pow l 3))))))) (* -1/2 (+ (* -1/16 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* 1/64 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))))))))))
1
(+ 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (- (* 1/16 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))) (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))
(+ 1 (* h (- (* h (- (* 1/64 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))) (* -1/16 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))))) (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
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1
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(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
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(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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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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(/ d (* D M))
(/ d (* D M))
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1
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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1
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w0
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w0
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w0
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w0
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1
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w0
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w0
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w0
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w0
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(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
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Outputs
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(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))) w0)
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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))))) (+ (* 1/2 (* (/ (* 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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(* (/ (* 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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(* (/ (* 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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(* (/ (* 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 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 3 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 w0)) (*.f64 (*.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (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 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 3 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 w0)) (*.f64 (*.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (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))))))
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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)))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) (*.f64 l (*.f64 d d))) (*.f64 D D) #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 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) (*.f64 l (*.f64 d d))) (*.f64 D D) #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 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) (*.f64 l (*.f64 d d))) (*.f64 D D) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (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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(* -1/4 (/ (* (pow D 2) (* (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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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
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(* -1/4 (/ (* D (* (pow M 2) h)) (* d 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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(* 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 (+ (* -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 (+ (* -1/8 (* (/ (* (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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(* (/ (* d (sqrt -4)) (* D M)) (sqrt (/ l h)))
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(/ (+ (* -8 (* (/ (pow d 3) (* (pow D 2) (* (pow M 3) (sqrt -4)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* -1/2 (* (/ (* M (+ (* 64 (/ (* (pow d 6) (pow l 3)) (* (pow M 6) (* (pow h 3) (pow (sqrt -4) 2))))) (* 64 (/ (* (pow d 6) (pow l 3)) (* (pow M 6) (pow h 3)))))) (* (pow D 4) (* d (sqrt -4)))) (sqrt (/ h l)))) (* (/ (* d (sqrt -4)) M) (sqrt (/ l h))))) D)
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(/ (+ (* -8 (* (/ (pow d 3) (* (pow D 2) (* (pow M 3) (sqrt -4)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* -1/2 (* (/ (* M (+ (* 8 (/ (* (pow d 2) (* l (+ (* 64 (/ (* (pow d 6) (pow l 3)) (* (pow M 6) (* (pow h 3) (pow (sqrt -4) 2))))) (* 64 (/ (* (pow d 6) (pow l 3)) (* (pow M 6) (pow h 3))))))) (* (pow M 2) (* h (pow (sqrt -4) 2))))) (* 256 (/ (* (pow d 8) (pow l 4)) (* (pow M 8) (pow h 4)))))) (* (pow D 6) (* d (sqrt -4)))) (sqrt (/ h l)))) (+ (* -1/2 (* (/ (* M (+ (* 64 (/ (* (pow d 6) (pow l 3)) (* (pow M 6) (* (pow h 3) (pow (sqrt -4) 2))))) (* 64 (/ (* (pow d 6) (pow l 3)) (* (pow M 6) (pow h 3)))))) (* (pow D 4) (* d (sqrt -4)))) (sqrt (/ h l)))) (* (/ (* d (sqrt -4)) M) (sqrt (/ l h)))))) D)
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(* -4 (/ (* (pow d 2) l) (* (pow D 2) (* (pow M 2) h))))
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(/ (+ (* -16 (/ (* (pow d 4) (pow l 2)) (* (pow D 2) (* (pow M 4) (pow h 2))))) (* -4 (/ (* (pow d 2) l) (* (pow M 2) h)))) (pow D 2))
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(/ (- (+ (* -64 (/ (* (pow d 6) (pow l 3)) (* (pow D 4) (* (pow M 6) (pow h 3))))) (* -4 (/ (* (pow d 2) l) (* (pow M 2) h)))) (* 16 (/ (* (pow d 4) (pow l 2)) (* (pow D 2) (* (pow M 4) (pow h 2)))))) (pow D 2))
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(fma.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))

rewrite202.0ms (1.5%)

Memory
-16.4MiB live, 338.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063457
0107473
1352418
22533408
08398408
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 969
Calls
Call 1
Inputs
(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 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
(*.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))))
(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 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(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))))
#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 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
(*.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))))
(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)))
(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 (/.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))))))
(/.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 (/.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))))
(/.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)))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(/.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 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 (/.f64 d M) D)
(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))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)))) (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64))))) (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -6 binary64))))) (*.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64))))) (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64))) (*.f64 (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 h) l)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) D #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 h) l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) h) (pow.f64 l #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D #s(literal 1/2 binary64))) (*.f64 (/.f64 M d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l))) (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.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))) (/.f64 h l)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (pow.f64 l #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) h) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 D (*.f64 D #s(literal 1/2 binary64))) (*.f64 (/.f64 M d) (/.f64 (neg.f64 h) l))) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) (*.f64 (/.f64 D d) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))
(fma.f64 (/.f64 D d) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 D d) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 h) l) (*.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 h) (/.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) l) #s(literal 1 binary64))
(fma.f64 (neg.f64 h) (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 h l) (neg.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) (/.f64 (neg.f64 h) l) #s(literal 1 binary64))
(fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 h) l)) (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 h) l)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) l) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 M d) (/.f64 (neg.f64 h) l)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 D (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))
(fma.f64 D (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l)))) #s(literal 1 binary64))
(fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 (*.f64 D (*.f64 D #s(literal 1/2 binary64))) (*.f64 (/.f64 M d) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 D (*.f64 D #s(literal 1/2 binary64))) (*.f64 (/.f64 M d) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))
(fma.f64 M (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D (*.f64 D #s(literal 1/2 binary64))) (*.f64 (/.f64 M d) (/.f64 (neg.f64 h) l)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 M (*.f64 (*.f64 D (*.f64 D #s(literal 1/2 binary64))) (*.f64 (/.f64 M d) (/.f64 (neg.f64 h) l)))) #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -6 binary64))) (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))))
(exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l)))))
(+.f64 (*.f64 (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))))

eval617.0ms (4.6%)

Memory
-52.6MiB live, 734.1MiB allocated
Compiler

Compiled 76 765 to 5 336 computations (93% saved)

prune283.0ms (2.1%)

Memory
29.8MiB live, 645.0MiB allocated
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New2 371152 386
Fresh628
Picked325
Done000
Total2 380192 399
Accuracy
91.5%
Counts
2 399 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.2%
(/.f64 w0 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
68.5%
(*.f64 w0 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))))
▶80.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
84.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))))
✓81.7%
(*.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))))
84.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (/.f64 M d) (*.f64 h (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 l)) #s(literal 1 binary64))))
▶86.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64))))
81.9%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) D) d)) l)) (/.f64 D d) #s(literal 1 binary64))))
68.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
16.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 (/.f64 D d) d)) l) (*.f64 #s(literal -1/4 binary64) h)))))
15.2%
(*.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 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
▶15.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
12.9%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
▶16.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
18.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 #s(literal -1/4 binary64) h)))))
15.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
▶51.4%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
51.8%
(*.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))))
✓70.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Compiler

Compiled 770 to 661 computations (14.2% saved)

simplify116.0ms (0.9%)

Memory
-33.6MiB live, 181.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
cost-diff0
(fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
cost-diff0
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
cost-diff0
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
cost-diff0
(*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D))
cost-diff0
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
cost-diff0
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
cost-diff0
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
085784
0132784
1283784
2927778
35285778
47217778
08156778
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #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)
d
M
D
#s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d))
#s(literal -1/2 binary64)
(/.f64 (*.f64 (*.f64 h M) D) d)
(*.f64 (*.f64 h M) D)
(*.f64 h M)
h
l
#s(literal 1 binary64)
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
w0
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D))
(*.f64 h (*.f64 M M))
h
(*.f64 M M)
M
(*.f64 D D)
D
(*.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
(/.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
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d))
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
D
(*.f64 l d)
l
d
(/.f64 D d)
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))
(/.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 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
(*.f64 (/.f64 h l) D)
(/.f64 h l)
h
l
(*.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)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 h l) D)) (/.f64 M d))) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 h l) D)) (/.f64 M d))) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64))
(fma.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 h l) D)) (/.f64 M d))) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
#s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l))
#s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 h l) D)) (/.f64 M d)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 h l) D)) (/.f64 M d))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d))
(*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (*.f64 (*.f64 h M) D) d)
(*.f64 (*.f64 h (/.f64 M d)) D)
(*.f64 (*.f64 h M) D)
(*.f64 h M)
h
l
#s(literal 1 binary64)
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d) #s(literal 1 binary64))) w0)
w0
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d) #s(literal 1 binary64))
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (/.f64 (/.f64 h l) d) D) (/.f64 (*.f64 (*.f64 D M) M) d))
(*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D))
(*.f64 (*.f64 h (*.f64 (*.f64 D M) D)) M)
(*.f64 h (*.f64 M M))
(*.f64 (*.f64 M M) h)
h
(*.f64 M M)
M
(*.f64 D D)
D
(*.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (/.f64 D d) l) D)) (*.f64 M (*.f64 h (/.f64 M d)))))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (/.f64 D d) l) D)) (*.f64 M (*.f64 h (/.f64 M d))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (/.f64 D d) l) D)) (*.f64 M (*.f64 h (/.f64 M d)))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (/.f64 D d) l) D)) (*.f64 M (*.f64 h (/.f64 M d))))
(/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (/.f64 (/.f64 D d) d) M) (*.f64 M (/.f64 D l)))
(*.f64 (*.f64 (*.f64 D M) M) D)
(*.f64 (*.f64 (*.f64 D M) D) M)
(*.f64 (*.f64 D M) M)
(*.f64 D M)
D
M
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 d d) l)
l
(*.f64 d d)
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (/.f64 D d) l) D)) (*.f64 M (*.f64 h (/.f64 M d)))))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (/.f64 D d) l) D)) (*.f64 M (*.f64 h (/.f64 M d))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (/.f64 D d) l) D)) (*.f64 M (*.f64 h (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (/.f64 D d) l) D)) (*.f64 M (*.f64 h (/.f64 M d))))
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d))
(*.f64 (*.f64 (/.f64 (/.f64 D d) d) M) (*.f64 M (/.f64 D l)))
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))
(*.f64 (/.f64 (/.f64 M l) d) (*.f64 D M))
(*.f64 (*.f64 M M) D)
(*.f64 (*.f64 D M) M)
(*.f64 M M)
M
D
(*.f64 l d)
l
d
(/.f64 D d)
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(literal 1 binary64))
(/.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 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
(/.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) l)
(*.f64 (/.f64 h l) D)
(/.f64 h l)
h
l
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize213.0ms (1.6%)

Memory
32.5MiB live, 427.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy5.665238536858065
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
accuracy5.893228741512284
(*.f64 (/.f64 h l) D)
accuracy6.085506398125807
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))
accuracy9.595184305171333
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
accuracy6.085506398125807
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))
accuracy7.973063310479581
(*.f64 (*.f64 M M) D)
accuracy13.41397857413707
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))
accuracy43.48712586471369
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))
accuracy6.085506398125807
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
accuracy6.669935178837436
(*.f64 l (*.f64 d d))
accuracy15.002391865920314
(/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d)))
accuracy43.48712586471369
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
accuracy6.669935178837436
(*.f64 l (*.f64 d d))
accuracy11.494099931825788
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
accuracy16.138448432951442
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d)))
accuracy17.482098103032204
(*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D))
accuracy6.085506398125807
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64)))
accuracy6.2369520995199075
(/.f64 (*.f64 (*.f64 h M) D) d)
accuracy6.449798379927941
(*.f64 (*.f64 h M) D)
accuracy7.4374894383560255
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
Samples
159.0ms256×0valid
Compiler

Compiled 599 to 83 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-mult: 60.0ms (53.2% of total)
ival-div: 28.0ms (24.8% of total)
ival-sqrt: 7.0ms (6.2% of total)
ival-neg: 6.0ms (5.3% of total)
ival-add: 4.0ms (3.5% of total)
ival-pow2: 3.0ms (2.7% of total)
ival-pow: 3.0ms (2.7% 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)

series383.0ms (2.9%)

Memory
8.0MiB live, 443.2MiB allocated
Counts
29 → 1 572
Calls
Call 1
Inputs
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #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 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) (patch (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) (patch #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (patch (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)) (patch (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)) (patch (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) #<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 h M) D) (patch (*.f64 (*.f64 h M) 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 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.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 (*.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 M M) D) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M M) D) (patch (*.f64 (*.f64 M M) D) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (patch (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 h l) D) (patch (*.f64 (/.f64 h l) 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 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) 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 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) 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 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) 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 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 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))))))) (taylor -inf d) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf d) (#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 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)))))) (taylor -inf d) (#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 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))))))) (taylor -inf d) (#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf d) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) #<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 (/ (* 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 (/ (* 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 (/ (* 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 (/ (* 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 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 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 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 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 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 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 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 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 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 (*.f64 M M) D) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (/ (* D (pow M 2)) (* d l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (/ (* D (pow M 2)) (* d l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (/ (* D (pow M 2)) (* d l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (patch (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (patch (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (patch (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (patch (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
150.0ms
w0
@inf
((* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* (* (/ 1/2 d) M) D) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (* (* h (* M M)) (* 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))) (* (/ (* (* (* D M) M) D) (* l (* d d))) (* -1/4 h)) (* 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))) (* (* (/ (* (* M M) D) (* l d)) (/ D d)) (* -1/4 h)) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (/ (* (* D M) -1/2) d) (* (* h M) D) (/ (* (* h M) D) d) (/ (* (* h (* M M)) (* D D)) (* l (* d d))) (* l (* d d)) (/ (* (* (* D M) M) D) (* l (* d d))) (/ (* (* M M) D) (* l d)) (* (* M M) D) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D))
37.0ms
M
@-inf
((* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* (* (/ 1/2 d) M) D) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (* (* h (* M M)) (* 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))) (* (/ (* (* (* D M) M) D) (* l (* d d))) (* -1/4 h)) (* 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))) (* (* (/ (* (* M M) D) (* l d)) (/ D d)) (* -1/4 h)) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (/ (* (* D M) -1/2) d) (* (* h M) D) (/ (* (* h M) D) d) (/ (* (* h (* M M)) (* D D)) (* l (* d d))) (* l (* d d)) (/ (* (* (* D M) M) D) (* l (* d d))) (/ (* (* M M) D) (* l d)) (* (* M M) D) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D))
20.0ms
h
@-inf
((* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* (* (/ 1/2 d) M) D) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (* (* h (* M M)) (* 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))) (* (/ (* (* (* D M) M) D) (* l (* d d))) (* -1/4 h)) (* 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))) (* (* (/ (* (* M M) D) (* l d)) (/ D d)) (* -1/4 h)) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (/ (* (* D M) -1/2) d) (* (* h M) D) (/ (* (* h M) D) d) (/ (* (* h (* M M)) (* D D)) (* l (* d d))) (* l (* d d)) (/ (* (* (* D M) M) D) (* l (* d d))) (/ (* (* M M) D) (* l d)) (* (* M M) D) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D))
18.0ms
D
@inf
((* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* (* (/ 1/2 d) M) D) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (* (* h (* M M)) (* 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))) (* (/ (* (* (* D M) M) D) (* l (* d d))) (* -1/4 h)) (* 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))) (* (* (/ (* (* M M) D) (* l d)) (/ D d)) (* -1/4 h)) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (/ (* (* D M) -1/2) d) (* (* h M) D) (/ (* (* h M) D) d) (/ (* (* h (* M M)) (* D D)) (* l (* d d))) (* l (* d d)) (/ (* (* (* D M) M) D) (* l (* d d))) (/ (* (* M M) D) (* l d)) (* (* M M) D) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D))
6.0ms
d
@inf
((* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* (* (/ 1/2 d) M) D) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (* (* h (* M M)) (* 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))) (* (/ (* (* (* D M) M) D) (* l (* d d))) (* -1/4 h)) (* 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))) (* (* (/ (* (* M M) D) (* l d)) (/ D d)) (* -1/4 h)) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (/ (* (* D M) -1/2) d) (* (* h M) D) (/ (* (* h M) D) d) (/ (* (* h (* M M)) (* D D)) (* l (* d d))) (* l (* d d)) (/ (* (* (* D M) M) D) (* l (* d d))) (/ (* (* M M) D) (* l d)) (* (* M M) D) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D))

simplify321.0ms (2.4%)

Memory
-40.3MiB live, 610.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067038459
1230538193
0822837100
Stop Event
1×iter limit
1×node limit
Counts
1 572 → 1 537
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))))))
(* 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
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
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 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
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 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
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)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
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)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
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))))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) 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))
(* 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) l)
(/ (* D h) l)
(/ (* D h) l)
(/ (* D h) l)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
1
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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 (+ (* -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)))
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)))
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) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) 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 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))
(* 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)))
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))))))
(*.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))))))
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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))))))
(*.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))))))
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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))))))
(*.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)
(* 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))))))
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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))))))
(*.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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(* 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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(* 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) 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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(* 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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(* -1/2 (/ (* D M) d))
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(* D (* M h))
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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 (+ (* -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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(* 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)))))))
(*.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)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(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))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(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))
(* (pow D 2) (* (pow M 2) h))
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D)
(* (pow D 2) (* (pow M 2) h))
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D)
(* (pow D 2) (* (pow M 2) h))
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D)
(* (pow D 2) (* (pow M 2) h))
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D)
(* (/ (* 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 (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)))))
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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))
(* -1/4 (/ (* (pow D 2) (* (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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(* -1/4 (/ (* (pow D 2) (* (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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(* (/ (* 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))
(* 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)))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l)))
(* 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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(+ 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))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.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 (*.f64 D D) #s(literal -1/4 binary64)) (*.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 (*.f64 D D) #s(literal -1/4 binary64)) (*.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 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
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
#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))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.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 (*.f64 D D) #s(literal -1/4 binary64)) (*.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 (*.f64 D D) #s(literal -1/4 binary64)) (*.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 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
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
#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) 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))
(/ (* 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)
(/ (* (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 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))
(* 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))
(* 1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal 1/2 binary64))

rewrite289.0ms (2.1%)

Memory
-11.4MiB live, 403.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085605
0132605
1462549
23254549
08441549
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
29 → 740
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) 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))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(*.f64 (*.f64 h M) D)
(/.f64 (*.f64 (*.f64 h M) D) d)
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d)))
(*.f64 l (*.f64 d d))
(/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d)))
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))
(*.f64 (*.f64 M M) D)
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
(*.f64 (/.f64 h l) D)
Outputs
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(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l d) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 l d))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 l d) (/.f64 d (pow.f64 (*.f64 D M) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 d D) (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l d) (/.f64 d (pow.f64 (*.f64 D M) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 (*.f64 d d) l)))
(neg.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 d) l) d)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 l d) (/.f64 d (pow.f64 (*.f64 D M) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d (*.f64 M M)) #s(literal -1 binary64)) (pow.f64 (/.f64 l D) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 l M) #s(literal -1 binary64)) (*.f64 (/.f64 D d) M))
(*.f64 (pow.f64 (/.f64 l (*.f64 D M)) #s(literal -1 binary64)) (/.f64 M d))
(*.f64 (pow.f64 (/.f64 l D) #s(literal -1 binary64)) (pow.f64 (/.f64 d (*.f64 M M)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 M M) l) D) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 D l))
(*.f64 (/.f64 M l) (/.f64 (*.f64 D M) d))
(*.f64 (/.f64 (*.f64 D M) d) (/.f64 M l))
(*.f64 (/.f64 (*.f64 D M) l) (/.f64 M d))
(*.f64 (/.f64 D l) (/.f64 (*.f64 M M) d))
(*.f64 (/.f64 (/.f64 D d) l) (*.f64 M M))
(*.f64 (*.f64 D (/.f64 (*.f64 M M) l)) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 l d) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 D M) M) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 l d) #s(literal -1 binary64)) (*.f64 (*.f64 D M) M))
(*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 D (/.f64 (*.f64 M M) l)))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (/.f64 d (*.f64 (*.f64 D M) M)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 D d) M) (pow.f64 (/.f64 l M) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 M M) l) (/.f64 D d))
(*.f64 (*.f64 (*.f64 (neg.f64 D) M) M) (pow.f64 (*.f64 (neg.f64 d) l) #s(literal -1 binary64)))
(*.f64 (/.f64 D d) (/.f64 (*.f64 M M) l))
(*.f64 (*.f64 (*.f64 D M) M) (pow.f64 (*.f64 l d) #s(literal -1 binary64)))
(*.f64 (*.f64 D M) (/.f64 M (*.f64 l d)))
(*.f64 (*.f64 D M) (*.f64 M (pow.f64 (*.f64 l d) #s(literal -1 binary64))))
(*.f64 (*.f64 M M) (/.f64 (/.f64 D d) l))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D l)))
(*.f64 (/.f64 M d) (pow.f64 (/.f64 l (*.f64 D M)) #s(literal -1 binary64)))
(*.f64 (/.f64 M d) (/.f64 (*.f64 D M) l))
(*.f64 D (/.f64 (*.f64 M M) (*.f64 l d)))
(*.f64 D (*.f64 (*.f64 M M) (pow.f64 (*.f64 l d) #s(literal -1 binary64))))
(*.f64 M (*.f64 (*.f64 D M) (pow.f64 (*.f64 l d) #s(literal -1 binary64))))
(*.f64 M (*.f64 M (/.f64 (/.f64 D d) l)))
(*.f64 M (/.f64 (*.f64 D M) (*.f64 l d)))
(pow.f64 (/.f64 d (*.f64 D (/.f64 (*.f64 M M) l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 M M) l) (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (*.f64 (*.f64 M M) (/.f64 D d)) l)
(/.f64 (*.f64 (/.f64 (*.f64 M M) l) D) d)
(/.f64 (/.f64 (*.f64 (*.f64 D M) M) d) l)
(/.f64 (neg.f64 (*.f64 D (/.f64 (*.f64 M M) l))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 D) M) M)) (neg.f64 (*.f64 (neg.f64 d) l)))
(/.f64 (*.f64 (*.f64 M M) #s(literal 1 binary64)) (*.f64 l (/.f64 d D)))
(/.f64 (*.f64 (*.f64 (*.f64 D M) M) #s(literal 1 binary64)) (*.f64 l d))
(/.f64 (*.f64 D (/.f64 (*.f64 M M) l)) d)
(/.f64 (/.f64 (*.f64 M M) l) (/.f64 d D))
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) M) (*.f64 (neg.f64 d) l))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D))))
(/.f64 (*.f64 (*.f64 D M) M) (*.f64 l d))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 D (/.f64 (*.f64 M M) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D)))
(neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 D) M) M) (*.f64 l d)))
(neg.f64 (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (neg.f64 d) l)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D))) #s(literal -1 binary64)))
(*.f64 (*.f64 D M) M)
(*.f64 (*.f64 M M) D)
(*.f64 D (*.f64 M M))
(*.f64 M (*.f64 D M))
(*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (*.f64 (/.f64 h l) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) D)
(*.f64 (*.f64 (/.f64 h l) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M))
(*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (/.f64 h l)) D)
(*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 #s(literal 1/2 binary64) d)) M)
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (/.f64 h l) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))
(*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 h l))
(*.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (*.f64 h (/.f64 M d)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l))
(*.f64 h (*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h (/.f64 M d)) l))
(*.f64 D (*.f64 (/.f64 h l) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))
(*.f64 D (/.f64 (*.f64 (*.f64 h (/.f64 M d)) #s(literal 1/2 binary64)) l))
(*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (/.f64 h l) D))
(*.f64 M (*.f64 (*.f64 (/.f64 h l) D) (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 M (*.f64 (/.f64 h l) D)))
(pow.f64 (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d M) D))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d M) D)) (/.f64 l h)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 h D) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l)
(/.f64 (*.f64 (neg.f64 h) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (neg.f64 l))
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 h l) D)) d)
(/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 M #s(literal 1/2 binary64))) d)
(/.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 h D)) l)
(/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d))
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 h D)) (*.f64 l d))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) h) (neg.f64 l))
(/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 l h))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) l)
(*.f64 (*.f64 h D) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (/.f64 h l) D)
(*.f64 h (*.f64 (pow.f64 l #s(literal -1 binary64)) D))
(*.f64 h (/.f64 D l))
(*.f64 D (/.f64 h l))
(pow.f64 (/.f64 l (*.f64 h D)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 h) D) (neg.f64 l))
(/.f64 (*.f64 D (neg.f64 h)) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 h D)) (neg.f64 l))
(/.f64 (*.f64 D #s(literal 1 binary64)) (/.f64 l h))
(/.f64 (*.f64 #s(literal 1 binary64) D) (/.f64 l h))
(/.f64 (*.f64 h D) l)
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 h D)))
(/.f64 D (/.f64 l h))

eval352.0ms (2.6%)

Memory
34.2MiB live, 610.1MiB allocated
Compiler

Compiled 67 484 to 4 599 computations (93.2% saved)

prune239.0ms (1.8%)

Memory
37.7MiB live, 538.6MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New2 289162 305
Fresh8412
Picked505
Done112
Total2 303212 324
Accuracy
91.5%
Counts
2 324 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.2%
(/.f64 w0 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
▶90.4%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) w0)
78.4%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))))
84.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))))
68.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
18.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 (/.f64 D d) #s(literal -1/4 binary64)) h)) d))))
16.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
▶12.9%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
20.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) l) (/.f64 M d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
20.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
▶16.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
16.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
15.9%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
65.6%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
52.4%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h M)) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
55.3%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))
76.5%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))
▶52.2%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
63.1%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) l) l))))
▶13.2%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
✓70.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Compiler

Compiled 858 to 739 computations (13.9% saved)

simplify128.0ms (1%)

Memory
-21.2MiB live, 179.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
cost-diff0
(*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
cost-diff0
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
cost-diff0
#s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))
cost-diff0
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))
cost-diff0
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
cost-diff0
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
cost-diff0
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
cost-diff0
(fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) w0)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
095965
0139965
1290959
2956951
34996951
46747951
08104951
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
D
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
M
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
#s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))
(/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l)
(*.f64 D (*.f64 h (/.f64 M d)))
(*.f64 h (/.f64 M d))
h
(/.f64 M d)
l
#s(literal -1/2 binary64)
#s(literal 1 binary64)
w0
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
w0
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
#s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(*.f64 h #s(literal -1/8 binary64))
h
#s(literal -1/8 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 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
w0
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))
#s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(/.f64 h (*.f64 d d))
h
(*.f64 d d)
d
(/.f64 (*.f64 M M) l)
(*.f64 M M)
M
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D))
(*.f64 h (*.f64 M M))
h
(*.f64 M M)
M
(*.f64 D D)
D
(*.f64 l (*.f64 d d))
l
(*.f64 d d)
d
#s(literal -1/4 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d))
(*.f64 D (/.f64 (*.f64 M M) (*.f64 l d)))
D
(/.f64 (*.f64 M M) (*.f64 l d))
(*.f64 M M)
M
(*.f64 l d)
l
d
(/.f64 D d)
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
Outputs
(*.f64 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) h) (/.f64 (/.f64 M l) d))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) h) (/.f64 (/.f64 M l) d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) h) (/.f64 (/.f64 M l) d))) #s(literal 1 binary64))
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
D
(*.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
#s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64)))
#s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) h) (/.f64 (/.f64 M l) d)))
(*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) h) (/.f64 (/.f64 M l) d))
(/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l)
(/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l)
(*.f64 D (*.f64 h (/.f64 M d)))
(*.f64 (*.f64 (/.f64 M d) h) D)
(*.f64 h (/.f64 M d))
(*.f64 (/.f64 M d) h)
h
(/.f64 M d)
l
#s(literal -1/2 binary64)
#s(literal 1 binary64)
w0
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64)) h) D) (/.f64 (/.f64 D d) d) #s(literal 1 binary64)))) w0)
w0
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64)) h) D) (/.f64 (/.f64 D d) d) #s(literal 1 binary64))))
#s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
#s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64)) h) D) (/.f64 (/.f64 D d) d) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64)) h) D) (/.f64 (/.f64 D d) d) #s(literal 1 binary64))
(*.f64 h #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) h)
h
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (*.f64 (/.f64 D d) D) M) (/.f64 (/.f64 M l) 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 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64)) h) D) (/.f64 (/.f64 D d) d)))) w0)
w0
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64)) h) D) (/.f64 (/.f64 D d) d))))
#s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))
#s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64)) h) D) (/.f64 (/.f64 D d) d)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64)) h) D) (/.f64 (/.f64 D d) d))
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(*.f64 (/.f64 (*.f64 h M) l) (/.f64 (/.f64 M d) d))
(/.f64 h (*.f64 d d))
h
(*.f64 d d)
d
(/.f64 (*.f64 M M) l)
(*.f64 M M)
M
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) M) (/.f64 (*.f64 (/.f64 (/.f64 M l) d) D) d)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) M) (/.f64 (*.f64 (/.f64 (/.f64 M l) d) D) d))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) M) (/.f64 (*.f64 (/.f64 (/.f64 M l) d) D) d)))
(*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) M) (/.f64 (*.f64 (/.f64 (/.f64 M l) d) D) d))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 h (*.f64 (/.f64 D d) D)) (/.f64 (/.f64 (*.f64 M M) l) d))
(*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D))
(*.f64 (*.f64 (*.f64 (*.f64 D D) M) M) h)
(*.f64 h (*.f64 M M))
(*.f64 (*.f64 M M) h)
h
(*.f64 M M)
M
(*.f64 D D)
D
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 d d) l)
l
(*.f64 d d)
d
#s(literal -1/4 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) M) (/.f64 (*.f64 (/.f64 (/.f64 M l) d) D) d)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) M) (/.f64 (*.f64 (/.f64 (/.f64 M l) d) D) d))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) M) (/.f64 (*.f64 (/.f64 (/.f64 M l) d) D) d)))
(*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (*.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) M) (/.f64 (*.f64 (/.f64 (/.f64 M l) d) D) d))
(*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d))
(*.f64 (*.f64 (*.f64 (/.f64 D d) D) M) (/.f64 (/.f64 M l) d))
(*.f64 D (/.f64 (*.f64 M M) (*.f64 l d)))
(*.f64 (/.f64 (/.f64 (*.f64 M M) l) d) D)
D
(/.f64 (*.f64 M M) (*.f64 l d))
(/.f64 (/.f64 (*.f64 M M) l) d)
(*.f64 M M)
M
(*.f64 l d)
l
d
(/.f64 D d)
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h

localize206.0ms (1.5%)

Memory
23.9MiB live, 339.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy6.085506398125807
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))
accuracy9.317151999012944
(*.f64 D (/.f64 (*.f64 M M) (*.f64 l d)))
accuracy11.450437631400947
(/.f64 (*.f64 M M) (*.f64 l d))
accuracy43.48712586471369
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))
accuracy6.669935178837436
(*.f64 l (*.f64 d d))
accuracy16.138448432951442
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d)))
accuracy17.482098103032204
(*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D))
accuracy43.48712586471369
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))
accuracy11.494099931825788
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))
accuracy12.306587945934593
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
accuracy18.098122054533764
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
accuracy43.50364348716953
#s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))
accuracy6.669935178837436
(*.f64 l (*.f64 d d))
accuracy7.346764499191252
(*.f64 (*.f64 D D) M)
accuracy11.494099931825788
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
accuracy15.002391865920314
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
accuracy6.037135909918566
(/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l)
accuracy6.085506398125807
(sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
accuracy7.4374894383560255
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
accuracy8.372698642102446
(*.f64 D (*.f64 h (/.f64 M d)))
Samples
153.0ms256×0valid
Compiler

Compiled 624 to 81 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-mult: 61.0ms (53.1% of total)
ival-div: 35.0ms (30.5% of total)
ival-sqrt: 5.0ms (4.4% of total)
ival-add: 4.0ms (3.5% of total)
ival-pow: 3.0ms (2.6% of total)
ival-pow2: 2.0ms (1.7% of total)
ival-neg: 2.0ms (1.7% 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)

series211.0ms (1.6%)

Memory
-36.8MiB live, 312.9MiB allocated
Counts
30 → 1 668
Calls
Call 1
Inputs
#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) w0) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) w0) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (patch (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #<representation binary64>) () ())
#s(alt (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 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 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) (patch #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) (patch #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) (patch (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))) (patch #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))) (patch #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) (patch (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)) (patch (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)) (patch (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)) #<representation binary64>) () ())
#s(alt (*.f64 D (*.f64 h (/.f64 M d))) (patch (*.f64 D (*.f64 h (/.f64 M d))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) (patch (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #<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 (*.f64 D D) M) (patch (*.f64 (*.f64 D D) M) #<representation binary64>) () ())
#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (patch (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (patch (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M M) (*.f64 l d)) (patch (/.f64 (*.f64 M M) (*.f64 l d)) #<representation binary64>) () ())
#s(alt (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (patch (*.f64 D (/.f64 (*.f64 M M) (*.f64 l 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 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) w0) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) 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 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) w0) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) w0) #<representation binary64>) () ())) ())
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#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
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#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
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#s(alt (/ (* D (pow M 2)) (* d l)) (taylor -inf d) (#s(alt (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (patch (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (pow M 2)) (* d l)) (taylor -inf d) (#s(alt (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (patch (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
9.0ms
M
@inf
((* (sqrt (+ (* (* D (* M (/ 1/2 d))) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) w0) (sqrt (+ (* (* D (* M (/ 1/2 d))) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (+ (* (* D (* M (/ 1/2 d))) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* D (* M (/ 1/2 d))) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (+ (* (* h -1/8) (/ (* (* (* D D) M) M) (* l (* d d)))) 1) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) 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 (* M M)) (* D D)) (* l (* d d))) -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))) (* (* (* D (/ (* M M) (* l d))) (/ D d)) (* -1/4 h)) (* D (* h (/ M d))) (/ (* D (* h (/ M d))) l) (/ (* (* (* D D) M) M) (* l (* d d))) (* (* D D) M) (* l (* d d)) (* (/ h (* d d)) (/ (* M M) l)) (* (* h (* M M)) (* D D)) (/ (* (* h (* M M)) (* D D)) (* l (* d d))) (/ (* M M) (* l d)) (* D (/ (* M M) (* l d))))
7.0ms
w0
@inf
((* (sqrt (+ (* (* D (* M (/ 1/2 d))) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) w0) (sqrt (+ (* (* D (* M (/ 1/2 d))) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (+ (* (* D (* M (/ 1/2 d))) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* D (* M (/ 1/2 d))) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (+ (* (* h -1/8) (/ (* (* (* D D) M) M) (* l (* d d)))) 1) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) 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 (* M M)) (* D D)) (* l (* d d))) -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))) (* (* (* D (/ (* M M) (* l d))) (/ D d)) (* -1/4 h)) (* D (* h (/ M d))) (/ (* D (* h (/ M d))) l) (/ (* (* (* D D) M) M) (* l (* d d))) (* (* D D) M) (* l (* d d)) (* (/ h (* d d)) (/ (* M M) l)) (* (* h (* M M)) (* D D)) (/ (* (* h (* M M)) (* D D)) (* l (* d d))) (/ (* M M) (* l d)) (* D (/ (* M M) (* l d))))
6.0ms
D
@0
((* (sqrt (+ (* (* D (* M (/ 1/2 d))) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) w0) (sqrt (+ (* (* D (* M (/ 1/2 d))) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (+ (* (* D (* M (/ 1/2 d))) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* D (* M (/ 1/2 d))) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (+ (* (* h -1/8) (/ (* (* (* D D) M) M) (* l (* d d)))) 1) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) 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 (* M M)) (* D D)) (* l (* d d))) -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))) (* (* (* D (/ (* M M) (* l d))) (/ D d)) (* -1/4 h)) (* D (* h (/ M d))) (/ (* D (* h (/ M d))) l) (/ (* (* (* D D) M) M) (* l (* d d))) (* (* D D) M) (* l (* d d)) (* (/ h (* d d)) (/ (* M M) l)) (* (* h (* M M)) (* D D)) (/ (* (* h (* M M)) (* D D)) (* l (* d d))) (/ (* M M) (* l d)) (* D (/ (* M M) (* l d))))
5.0ms
M
@-inf
((* (sqrt (+ (* (* D (* M (/ 1/2 d))) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) w0) (sqrt (+ (* (* D (* M (/ 1/2 d))) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (+ (* (* D (* M (/ 1/2 d))) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* D (* M (/ 1/2 d))) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (+ (* (* h -1/8) (/ (* (* (* D D) M) M) (* l (* d d)))) 1) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) 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 (* M M)) (* D D)) (* l (* d d))) -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))) (* (* (* D (/ (* M M) (* l d))) (/ D d)) (* -1/4 h)) (* D (* h (/ M d))) (/ (* D (* h (/ M d))) l) (/ (* (* (* D D) M) M) (* l (* d d))) (* (* D D) M) (* l (* d d)) (* (/ h (* d d)) (/ (* M M) l)) (* (* h (* M M)) (* D D)) (/ (* (* h (* M M)) (* D D)) (* l (* d d))) (/ (* M M) (* l d)) (* D (/ (* M M) (* l d))))
5.0ms
l
@-inf
((* (sqrt (+ (* (* D (* M (/ 1/2 d))) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) w0) (sqrt (+ (* (* D (* M (/ 1/2 d))) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (+ (* (* D (* M (/ 1/2 d))) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* D (* M (/ 1/2 d))) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (+ (* (* h -1/8) (/ (* (* (* D D) M) M) (* l (* d d)))) 1) (* w0 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1))))) (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) 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 (* M M)) (* D D)) (* l (* d d))) -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))) (* (* (* D (/ (* M M) (* l d))) (/ D d)) (* -1/4 h)) (* D (* h (/ M d))) (/ (* D (* h (/ M d))) l) (/ (* (* (* D D) M) M) (* l (* d d))) (* (* D D) M) (* l (* d d)) (* (/ h (* d d)) (/ (* M M) l)) (* (* h (* M M)) (* D D)) (/ (* (* h (* M M)) (* D D)) (* l (* d d))) (/ (* M M) (* l d)) (* D (/ (* M M) (* l d))))

simplify520.0ms (3.9%)

Memory
-16.9MiB live, 375.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066840570
1229640280
0820039139
Stop Event
1×iter limit
1×node limit
Counts
1 668 → 1 633
Calls
Call 1
Inputs
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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))))))
(* 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 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
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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 (* 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)))))))))
1
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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)))
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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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(* -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)))
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) (* d l))
(/ (* D (* M h)) (* d l))
(/ (* D (* M h)) (* d l))
(/ (* D (* M h)) (* d l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
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(* (pow D 2) (* (pow M 2) h))
(/ (* (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))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)
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w0
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1
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1
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
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1
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
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1
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
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1
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w0
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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
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(+ 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)))
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) (* d l))
(/ (* D (* M h)) (* d l))
(/ (* D (* M h)) (* d l))
(/ (* D (* M h)) (* 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)
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (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) (* (pow M 2) h)) (* (pow d 2) l))
(/ (pow M 2) (* d l))
(/ (pow M 2) (* d l))
(/ (pow M 2) (* d l))
(/ (pow M 2) (* d 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))
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 (+ (* -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))))
(* 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))))))
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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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(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (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))))
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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 (* -1/4 (/ (* (pow D 2) (* (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)))
(* -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)))
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) (* d l))
(/ (* D (* M h)) (* d l))
(/ (* D (* M h)) (* d l))
(/ (* D (* M h)) (* 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)
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (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) (* (pow M 2) h)) (* (pow d 2) l))
(/ (pow M 2) (* d l))
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(/ (pow M 2) (* d l))
(/ (pow M 2) (* d 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))
Outputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) 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 #s(literal -1/4 binary64) (*.f64 D D)) (*.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 #s(literal -1/4 binary64) (*.f64 D D)) (*.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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
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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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(* 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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(* -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) d))
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(* 1/2 (/ (* D M) d))
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(* 1/2 (/ (* D M) d))
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(* 1/2 (/ (* D M) d))
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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) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (pow D 2) (+ (* -1/8 (/ (* (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 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)))))))
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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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(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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 (+ (* -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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(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
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.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 #s(literal -1/4 binary64) (*.f64 D D)) (*.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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #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 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)
(/ (* D (* M h)) (* d l))
(/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l)
(/ (* D (* M h)) (* d l))
(/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l)
(/ (* D (* M h)) (* d l))
(/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l)
(/ (* D (* M h)) (* d l))
(/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l)
(/ (* (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 M 2) h) (* (pow d 2) l))
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(/ (* (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 M 2) (* d l))
(*.f64 (/.f64 M l) (/.f64 M d))
(/ (pow M 2) (* d l))
(*.f64 (/.f64 M l) (/.f64 M d))
(/ (pow M 2) (* d l))
(*.f64 (/.f64 M l) (/.f64 M d))
(/ (pow M 2) (* d l))
(*.f64 (/.f64 M l) (/.f64 M d))
(/ (* D (pow M 2)) (* d l))
(*.f64 (/.f64 D l) (/.f64 (*.f64 M M) d))
(/ (* D (pow M 2)) (* d l))
(*.f64 (/.f64 D l) (/.f64 (*.f64 M M) d))
(/ (* D (pow M 2)) (* d l))
(*.f64 (/.f64 D l) (/.f64 (*.f64 M M) d))
(/ (* D (pow M 2)) (* d l))
(*.f64 (/.f64 D l) (/.f64 (*.f64 M M) d))

rewrite365.0ms (2.7%)

Memory
5.2MiB live, 202.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095792
0139792
1469716
23267716
09231716
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
30 → 879
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
#s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
#s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))
#s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 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))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 D (*.f64 h (/.f64 M d)))
(/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l)
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 D D) M)
(*.f64 l (*.f64 d d))
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d)))
(/.f64 (*.f64 M M) (*.f64 l d))
(*.f64 D (/.f64 (*.f64 M M) (*.f64 l d)))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64))) w0)
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d))) (pow.f64 (*.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d))) (pow.f64 (*.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) D) l))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal -1 binary64)))))
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(*.f64 (pow.f64 (*.f64 l d) #s(literal -1 binary64)) (pow.f64 (pow.f64 M #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 l d) #s(literal -1 binary64)) (*.f64 M M))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (/.f64 d (*.f64 M M)) #s(literal -1 binary64)))
(*.f64 (/.f64 M l) (/.f64 M d))
(*.f64 (*.f64 (neg.f64 M) M) (pow.f64 (*.f64 (neg.f64 d) l) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 M M) l) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (*.f64 M M) (pow.f64 (*.f64 l d) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 M M) l) d))
(*.f64 (/.f64 M d) (/.f64 M l))
(*.f64 M (/.f64 (/.f64 M l) d))
(pow.f64 (/.f64 d (/.f64 (*.f64 M M) l)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 d (/.f64 l (*.f64 M M))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 l (*.f64 M M)) d) #s(literal -1 binary64))
(pow.f64 (*.f64 d (/.f64 l (*.f64 M M))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 M (/.f64 M d))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (/.f64 M l) (neg.f64 M))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (/.f64 M l) #s(literal 1 binary64))) (/.f64 (neg.f64 d) M))
(/.f64 (neg.f64 (/.f64 (*.f64 M M) d)) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 M) M))) (neg.f64 (neg.f64 (*.f64 (neg.f64 d) l))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 M M) l))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (*.f64 M M) #s(literal 1 binary64))) (*.f64 (neg.f64 d) l))
(/.f64 (neg.f64 (*.f64 M #s(literal 1 binary64))) (neg.f64 (*.f64 l (/.f64 d M))))
(/.f64 (neg.f64 (/.f64 M l)) (/.f64 (neg.f64 d) M))
(/.f64 (*.f64 M (/.f64 M d)) l)
(/.f64 (*.f64 (/.f64 M l) (neg.f64 M)) (neg.f64 d))
(/.f64 (*.f64 (/.f64 M l) #s(literal 1 binary64)) (/.f64 d M))
(/.f64 (/.f64 (*.f64 M M) d) l)
(/.f64 (neg.f64 (*.f64 (neg.f64 M) M)) (neg.f64 (*.f64 (neg.f64 d) l)))
(/.f64 (neg.f64 (/.f64 (*.f64 M M) l)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 M M) #s(literal 1 binary64)) (*.f64 l d))
(/.f64 (*.f64 M #s(literal 1 binary64)) (*.f64 l (/.f64 d M)))
(/.f64 (/.f64 M l) (/.f64 d M))
(/.f64 (*.f64 (neg.f64 M) M) (*.f64 (neg.f64 d) l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (/.f64 (*.f64 M M) l))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d (/.f64 l (*.f64 M M))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 d (/.f64 l (*.f64 M M)))))
(/.f64 (/.f64 (*.f64 M M) l) d)
(/.f64 (*.f64 M M) (*.f64 l d))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 d (/.f64 l (*.f64 M M))))))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (*.f64 M M) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (/.f64 l (*.f64 M M))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 d (/.f64 l (*.f64 M M))))
(neg.f64 (/.f64 (*.f64 (neg.f64 M) M) (*.f64 l d)))
(neg.f64 (/.f64 (*.f64 M M) (*.f64 (neg.f64 d) l)))
(exp.f64 (*.f64 (log.f64 (*.f64 d (/.f64 l (*.f64 M M)))) #s(literal -1 binary64)))
(*.f64 (*.f64 D (/.f64 M l)) (/.f64 M d))
(*.f64 (/.f64 D l) (/.f64 (*.f64 M M) d))
(*.f64 (*.f64 (*.f64 M D) M) (pow.f64 (*.f64 l d) #s(literal -1 binary64)))
(*.f64 (/.f64 M l) (*.f64 (/.f64 M d) D))
(*.f64 (/.f64 D d) (/.f64 (*.f64 M M) l))
(*.f64 (/.f64 (/.f64 (*.f64 M M) l) d) D)
(*.f64 (*.f64 M D) (/.f64 (/.f64 M l) d))
(*.f64 (*.f64 M M) (*.f64 (pow.f64 (*.f64 l d) #s(literal -1 binary64)) D))
(*.f64 M (*.f64 (/.f64 (/.f64 M l) d) D))
(*.f64 D (/.f64 (/.f64 (*.f64 M M) l) d))
(pow.f64 (*.f64 (/.f64 d D) (/.f64 l (*.f64 M M))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 l d) (*.f64 (*.f64 M D) M)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 M D) M) l)) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 M D) M) d)) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 D (*.f64 (neg.f64 M) M))) (neg.f64 (*.f64 (neg.f64 d) l)))
(/.f64 (neg.f64 (*.f64 D (/.f64 (*.f64 M M) l))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 D #s(literal 1 binary64))) (neg.f64 (*.f64 d (/.f64 l (*.f64 M M)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 M D) M))) (neg.f64 (*.f64 (neg.f64 d) l)))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) M) D)) (neg.f64 (*.f64 (neg.f64 d) l)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M M) l) D)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) D)) (neg.f64 (*.f64 d (/.f64 l (*.f64 M M)))))
(/.f64 (/.f64 (*.f64 (*.f64 M D) M) l) d)
(/.f64 (/.f64 (*.f64 (*.f64 M D) M) d) l)
(/.f64 (*.f64 D (*.f64 (neg.f64 M) M)) (*.f64 (neg.f64 d) l))
(/.f64 (*.f64 D (/.f64 (*.f64 M M) l)) d)
(/.f64 (*.f64 D #s(literal 1 binary64)) (*.f64 d (/.f64 l (*.f64 M M))))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) l))
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) D) (*.f64 (neg.f64 d) l))
(/.f64 (*.f64 (/.f64 (*.f64 M M) l) D) d)
(/.f64 (*.f64 #s(literal 1 binary64) D) (*.f64 d (/.f64 l (*.f64 M M))))
(/.f64 (*.f64 (*.f64 M D) M) (*.f64 l d))
(/.f64 (neg.f64 D) (neg.f64 (*.f64 d (/.f64 l (*.f64 M M)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 l d) (*.f64 (*.f64 M D) M))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l d) (*.f64 (*.f64 M D) M)))
(/.f64 D (*.f64 d (/.f64 l (*.f64 M M))))

eval439.0ms (3.3%)

Memory
73.9MiB live, 553.5MiB allocated
Compiler

Compiled 71 763 to 5 591 computations (92.2% saved)

prune266.0ms (2%)

Memory
-25.3MiB live, 501.0MiB allocated
Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New2 524162 540
Fresh6915
Picked325
Done011
Total2 533282 561
Accuracy
91.5%
Counts
2 561 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.2%
(/.f64 w0 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
✓90.4%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) w0)
78.4%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))))
84.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))))
68.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
18.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 (/.f64 D d) #s(literal -1/4 binary64)) h)) d))))
14.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
16.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
20.9%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 D (/.f64 M l)) (/.f64 M d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
✓16.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
16.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
15.9%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
76.5%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))
66.1%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
73.9%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) #s(literal 1 binary64)) (*.f64 (*.f64 l d) (/.f64 d D))) #s(literal 1 binary64)))))
61.8%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
56.1%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
70.0%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64)))))
61.9%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
53.4%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
12.4%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
14.7%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))))
14.0%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d))))))
15.2%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) #s(literal 1 binary64)) (*.f64 d (/.f64 l (*.f64 M M))))))))
14.9%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h M) l) (/.f64 (/.f64 M d) d))))))
16.7%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 h (/.f64 (/.f64 M l) d)) (/.f64 M d))))))
12.8%
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
✓70.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Compiler

Compiled 1 916 to 941 computations (50.9% saved)

regimes264.0ms (2%)

Memory
5.7MiB live, 485.6MiB allocated
Counts
61 → 1
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h M)) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))))
#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))
(*.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 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M 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))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) 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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #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 (*.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 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 h (/.f64 (/.f64 M l) d)) (/.f64 M d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h M) l) (/.f64 (/.f64 M d) d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) #s(literal 1 binary64)) (*.f64 (*.f64 l d) (/.f64 d D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) l) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.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))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) #s(literal 1 binary64)) (*.f64 d (/.f64 l (*.f64 M M))))))))
(*.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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) 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))) (*.f64 (*.f64 (*.f64 (*.f64 D (/.f64 M l)) (/.f64 M d)) (/.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))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) l) (/.f64 M d)) (/.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 (/.f64 D d) d)) l) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 (/.f64 D d) #s(literal -1/4 binary64)) h)) d))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) D) d)) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.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 (/.f64 D d) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) 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 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (/.f64 M d) (*.f64 h (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 w0 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 w0 (/.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))))))
(*.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 w0 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 w0 (sqrt.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)) (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)))))
Outputs
(*.f64 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) w0)
Calls

15 calls:

20.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
19.0ms
l
18.0ms
(/.f64 h l)
18.0ms
(*.f64 #s(literal 2 binary64) d)
18.0ms
d
Results
AccuracySegmentsBranch
90.4%1w0
90.4%1M
90.4%1D
90.4%1h
90.4%1l
90.4%1d
90.4%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)))))
90.4%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))))
90.4%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)))
90.4%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
90.4%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
90.4%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
90.4%1(*.f64 M D)
90.4%1(*.f64 #s(literal 2 binary64) d)
90.4%1(/.f64 h l)
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes236.0ms (1.8%)

Memory
5.0MiB live, 413.6MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h M)) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))))
#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))
(*.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 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M 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))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) 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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #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 (*.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 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 h (/.f64 (/.f64 M l) d)) (/.f64 M d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h M) l) (/.f64 (/.f64 M d) d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) #s(literal 1 binary64)) (*.f64 (*.f64 l d) (/.f64 d D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) l) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.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))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) #s(literal 1 binary64)) (*.f64 d (/.f64 l (*.f64 M M))))))))
(*.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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) 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))) (*.f64 (*.f64 (*.f64 (*.f64 D (/.f64 M l)) (/.f64 M d)) (/.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))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) l) (/.f64 M d)) (/.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 (/.f64 D d) d)) l) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 (/.f64 D d) #s(literal -1/4 binary64)) h)) d))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) D) d)) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.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 (/.f64 D d) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

15 calls:

28.0ms
(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))))
16.0ms
(/.f64 h l)
16.0ms
d
15.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
15.0ms
l
Results
AccuracySegmentsBranch
86.2%1h
87.9%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
87.9%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
87.9%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)))
88.6%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
86.2%1w0
88.4%2M
86.2%1d
89.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
86.2%1(*.f64 #s(literal 2 binary64) d)
86.2%1D
86.2%1l
88.6%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
88.8%2(*.f64 M D)
86.2%1(/.f64 h l)
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes31.0ms (0.2%)

Memory
-16.0MiB live, 61.7MiB 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)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h M)) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))))
#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))
(*.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 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M 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))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) 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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #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 (*.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 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 h (/.f64 (/.f64 M l) d)) (/.f64 M d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h M) l) (/.f64 (/.f64 M d) d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) #s(literal 1 binary64)) (*.f64 (*.f64 l d) (/.f64 d D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) l) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.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))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) #s(literal 1 binary64)) (*.f64 d (/.f64 l (*.f64 M M))))))))
(*.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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) 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))) (*.f64 (*.f64 (*.f64 (*.f64 D (/.f64 M l)) (/.f64 M d)) (/.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))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) l) (/.f64 M d)) (/.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 (/.f64 D d) d)) l) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 (/.f64 D d) #s(literal -1/4 binary64)) h)) d))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) D) d)) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.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 (/.f64 D d) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))))
Calls

2 calls:

15.0ms
(*.f64 M D)
13.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
88.8%2(*.f64 M D)
88.7%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 16 to 20 computations (-25% saved)

regimes30.0ms (0.2%)

Memory
21.9MiB live, 62.9MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h M)) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))))
#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))
(*.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 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M 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))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) 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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #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 (*.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 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 h (/.f64 (/.f64 M l) d)) (/.f64 M d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h M) l) (/.f64 (/.f64 M d) d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) #s(literal 1 binary64)) (*.f64 (*.f64 l d) (/.f64 d D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) l) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.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))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) #s(literal 1 binary64)) (*.f64 d (/.f64 l (*.f64 M M))))))))
(*.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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) 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))) (*.f64 (*.f64 (*.f64 (*.f64 D (/.f64 M l)) (/.f64 M d)) (/.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))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) l) (/.f64 M d)) (/.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 (/.f64 D d) d)) l) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 (/.f64 D d) #s(literal -1/4 binary64)) h)) d))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) D) d)) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.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 (/.f64 D d) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

2 calls:

15.0ms
(*.f64 M D)
12.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
88.7%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
86.5%2(*.f64 M D)
Compiler

Compiled 16 to 20 computations (-25% saved)

regimes195.0ms (1.5%)

Memory
-31.6MiB live, 361.2MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h M)) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))))
#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))
(*.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 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M 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))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) 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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #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 (*.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 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 h (/.f64 (/.f64 M l) d)) (/.f64 M d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h M) l) (/.f64 (/.f64 M d) d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) #s(literal 1 binary64)) (*.f64 (*.f64 l d) (/.f64 d D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) l) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.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))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) #s(literal 1 binary64)) (*.f64 d (/.f64 l (*.f64 M M))))))))
(*.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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) 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))) (*.f64 (*.f64 (*.f64 (*.f64 D (/.f64 M l)) (/.f64 M d)) (/.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))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) l) (/.f64 M d)) (/.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 (/.f64 D d) d)) l) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 (/.f64 D d) #s(literal -1/4 binary64)) h)) d))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) D) d)) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.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))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 D (/.f64 M l)) (/.f64 M d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

14 calls:

15.0ms
l
15.0ms
D
14.0ms
d
14.0ms
(*.f64 #s(literal 2 binary64) d)
14.0ms
(/.f64 h l)
Results
AccuracySegmentsBranch
81.9%1w0
86.2%3D
85.2%3h
83.9%2l
85.8%2d
85.8%2(*.f64 #s(literal 2 binary64) d)
87.2%3(/.f64 h l)
85.5%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)))))
85.5%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))))
85.5%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)))
85.7%2M
85.3%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
87.4%3(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
87.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 90 to 133 computations (-47.8% saved)

regimes13.0ms (0.1%)

Memory
25.9MiB live, 25.9MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h M)) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))))
#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))
(*.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 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M 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))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) 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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #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 (*.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 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 h (/.f64 (/.f64 M l) d)) (/.f64 M d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h M) l) (/.f64 (/.f64 M d) d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) #s(literal 1 binary64)) (*.f64 (*.f64 l d) (/.f64 d D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) l) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.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))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) #s(literal 1 binary64)) (*.f64 d (/.f64 l (*.f64 M M))))))))
(*.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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

10.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
86.7%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes128.0ms (1%)

Memory
8.8MiB live, 203.4MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
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(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h M)) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))))
#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))
(*.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 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M 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))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) 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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #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 (*.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 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 h (/.f64 (/.f64 M l) d)) (/.f64 M d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h M) l) (/.f64 (/.f64 M d) d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) #s(literal 1 binary64)) (*.f64 (*.f64 l d) (/.f64 d D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) l) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.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))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) #s(literal 1 binary64)) (*.f64 d (/.f64 l (*.f64 M M))))))))
(*.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))))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

11 calls:

16.0ms
(*.f64 #s(literal 2 binary64) d)
12.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
12.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
11.0ms
d
11.0ms
M
Results
AccuracySegmentsBranch
81.2%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
84.0%3(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
84.7%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
84.7%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
79.2%2(/.f64 h l)
82.2%3M
81.2%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
82.4%3d
82.4%3(*.f64 #s(literal 2 binary64) d)
82.9%3(*.f64 M D)
84.7%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 89 to 116 computations (-30.3% saved)

regimes35.0ms (0.3%)

Memory
5.7MiB live, 45.5MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h M)) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))))
#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))
(*.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 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M 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))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) 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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #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 (*.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 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 h (/.f64 (/.f64 M l) d)) (/.f64 M d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h M) l) (/.f64 (/.f64 M d) d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) #s(literal 1 binary64)) (*.f64 (*.f64 l d) (/.f64 d D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) l) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
Outputs
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 h (/.f64 (/.f64 M l) d)) (/.f64 M d))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

3 calls:

11.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
11.0ms
l
10.0ms
D
Results
AccuracySegmentsBranch
76.5%1l
79.6%2D
83.8%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 15 to 25 computations (-66.7% saved)

regimes13.0ms (0.1%)

Memory
-21.8MiB live, 14.9MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h M)) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))))
#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))
(*.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 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M 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))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) 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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #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 (*.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 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

11.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
83.6%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes16.0ms (0.1%)

Memory
23.1MiB live, 23.1MiB 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)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h M)) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))))
#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))
(*.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 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M 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))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

2 calls:

8.0ms
h
6.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
76.5%1h
83.5%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 14 to 19 computations (-35.7% saved)

regimes29.0ms (0.2%)

Memory
0.3MiB live, 37.4MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h M)) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))))
#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))
(*.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 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M 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))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

4 calls:

9.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
7.0ms
w0
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)))
6.0ms
(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))))
Results
AccuracySegmentsBranch
81.4%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
81.4%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
76.5%1w0
82.8%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 45 to 50 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory
-26.2MiB live, 11.0MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h M)) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))))
#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))
(*.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 (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
Outputs
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

9.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
82.7%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes12.0ms (0.1%)

Memory
18.2MiB live, 18.2MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h M)) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))))
#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))
(*.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))))
Outputs
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

2 calls:

6.0ms
(*.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)))))
5.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
81.0%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
82.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 31 to 30 computations (3.2% saved)

regimes5.0ms (0%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h M)) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d))))))
Outputs
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

4.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
81.9%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 h M)) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

4.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
81.9%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0%)

Memory
-38.3MiB live, 4.4MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))))
Outputs
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 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

1 calls:

2.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
81.8%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes16.0ms (0.1%)

Memory
29.4MiB live, 29.4MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l)))))
Outputs
(*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

9 calls:

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
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
2.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Results
AccuracySegmentsBranch
70.7%1d
70.7%1(*.f64 #s(literal 2 binary64) d)
80.7%3(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
79.1%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
79.1%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
75.3%2(*.f64 M D)
80.7%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
80.7%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
80.7%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 85 to 103 computations (-21.2% saved)

regimes19.0ms (0.1%)

Memory
-3.9MiB live, 34.1MiB 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

13 calls:

4.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
1.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms
D
1.0ms
l
1.0ms
h
Results
AccuracySegmentsBranch
70.7%1(*.f64 M D)
70.7%1h
70.7%1w0
70.7%1l
70.7%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
70.7%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
70.7%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
70.7%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
70.7%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
70.7%1(/.f64 h l)
70.7%1D
70.7%1M
70.7%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 89 to 126 computations (-41.6% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.865373105537157e-11
-3.0683773743315554e-20
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.800099077453174e+92
2.3119434177897754e+98
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.865373105537157e-11
-3.0683773743315554e-20
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-233.68163567721035
-3.865373105537157e-11
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-233.68163567721035
-3.865373105537157e-11
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-233.68163567721035
-3.865373105537157e-11
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-8.525955929934624e+24
-24520216.735731483
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-233.68163567721035
-3.865373105537157e-11
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-233.68163567721035
-3.865373105537157e-11
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-233.68163567721035
-3.865373105537157e-11
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.865373105537157e-11
-3.0683773743315554e-20
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-8.525955929934624e+24
-24520216.735731483
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.2829480338447786e+41
-1.9443764623328724e+36
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.2829480338447786e+41
-1.9443764623328724e+36
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-8.525955929934624e+24
-24520216.735731483
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.180477749157918e+274
-1.9771942716245453e+273
Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify133.0ms (1%)

Memory
-19.7MiB live, 56.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02241354
13171354
23451354
33941352
44581352
55601352
67171352
711331352
819011352
924871352
1028931352
1130481352
1231291352
1331481352
1431581352
1531601352
1633181352
1734061352
1834341352
1934611352
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) 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 -6189700196426901/309485009821345068724781056 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #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 1000000000000000043377296974619186073290293324951939311791773789336116812889681110941323755520 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h M) D) d)) l)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) l))) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 h) 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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 D (/.f64 M l)) (/.f64 M d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000000000452984832 binary64)) (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 h (/.f64 (/.f64 M l) d)) (/.f64 M d)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000000000452984832 binary64)) (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000000001240017290081556638990336 binary64)) (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000000001240017290081556638990336 binary64)) (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000000000452984832 binary64)) (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -19999999999999998427565756888352682973425438326516414058699593209346147537472721377488423248782676284346531436850217802369480956001624091822467583003390346899419842779564435258471158259405585390019332702900005712830616180641768933148719519610965433140458319354760048446275584 binary64)) (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Outputs
(*.f64 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 D (*.f64 h (/.f64 M d))) l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) 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 -6189700196426901/309485009821345068724781056 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #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 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) (*.f64 (/.f64 h l) D)) #s(literal 1 binary64))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
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(if (<=.f64 (*.f64 M D) #s(literal 1000000000000000043377296974619186073290293324951939311791773789336116812889681110941323755520 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal -1/2 binary64)) l)) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (/.f64 D d) (*.f64 (*.f64 (/.f64 (neg.f64 h) l) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) M) M)) #s(literal 1 binary64))) w0))
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(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -200 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (*.f64 (/.f64 M l) D) (/.f64 M d)) (/.f64 D d))))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) 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 -200 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
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(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -200 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 #s(literal -1/4 binary64) h)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) 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 -5000000000000000452984832 binary64)) (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 h (/.f64 (/.f64 M l) d)) (/.f64 M d)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -5000000000000000452984832 binary64)) (*.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M l) d) h) (/.f64 M d)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
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(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -200 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) 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 -200 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -200 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l)) (*.f64 M D)) (*.f64 #s(literal -1/4 binary64) h)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) 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 -200 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -200 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 (*.f64 d d) l)) D) (*.f64 #s(literal -1/4 binary64) h)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) 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 -6189700196426901/309485009821345068724781056 binary64)) (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #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 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (*.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) 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 -5000000000000000452984832 binary64)) (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -5000000000000000452984832 binary64)) (*.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) 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 -200000000000000001240017290081556638990336 binary64)) (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M D) M)) (*.f64 (neg.f64 d) (*.f64 l d))) #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 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -200000000000000001240017290081556638990336 binary64)) (*.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 #s(literal -1/8 binary64) h) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) 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 -200000000000000001240017290081556638990336 binary64)) (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #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 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -200000000000000001240017290081556638990336 binary64)) (*.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 #s(literal -1/8 binary64) h) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) 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 -5000000000000000452984832 binary64)) (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 h #s(literal -1/8 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 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -5000000000000000452984832 binary64)) (*.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (fma.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 (/.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) 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 -19999999999999998427565756888352682973425438326516414058699593209346147537472721377488423248782676284346531436850217802369480956001624091822467583003390346899419842779564435258471158259405585390019332702900005712830616180641768933148719519610965433140458319354760048446275584 binary64)) (*.f64 w0 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -19999999999999998427565756888352682973425438326516414058699593209346147537472721377488423248782676284346531436850217802369480956001624091822467583003390346899419842779564435258471158259405585390019332702900005712830616180641768933148719519610965433140458319354760048446275584 binary64)) (*.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* (/ (neg h) l) (pow (* (/ (/ d M) D) 2) -2)) 1)))) #s(approx (+ (* -1/8 (/ (* (* h (* M M)) (* D D)) (* l (* d d)))) 1) (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(*.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)

soundness1.7s (12.7%)

Memory
31.5MiB live, 1 242.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01769
02669
18269
255069
3704769
0863569
085605
0132605
1462549
23254549
08441549
0124741610
1446341079
0903339857
095792
0139792
1469716
23267716
09231716
067038459
1230538193
0822837100
06267690
121857668
084757462
063457
0107473
1352418
22533408
08398408
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×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 603 to 1 117 computations (30.3% saved)

preprocess277.0ms (2.1%)

Memory
-10.2MiB live, 353.3MiB allocated
Remove

(negabs w0)

(abs d)

Compiler

Compiled 2 592 to 1 402 computations (45.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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