Henrywood and Agarwal, Equation (9a)

Time bar (total: 17.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze557.0ms (3.2%)

Memory
-10.3MiB live, 584.2MiB 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)

sample2.4s (13.8%)

Memory
46.2MiB live, 2 328.9MiB allocated
Samples
1.2s8 256×0valid
458.0ms2 833×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 417.0ms (40.5% of total)
ival-div: 227.0ms (22% of total)
ival-pow2: 185.0ms (18% of total)
ival-sub: 98.0ms (9.5% of total)
ival-sqrt: 79.0ms (7.7% of total)
exact: 11.0ms (1.1% of total)
ival-true: 8.0ms (0.8% of total)
ival-assert: 5.0ms (0.5% of total)
Bogosity

explain456.0ms (2.6%)

Memory
-203.3MiB live, 519.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
320-2(-2.2957835620550036e+264 -8.880646610504484e+67 -6.961488287734616e-68 -4.7875976338032466e-110 -1.5412999797042164e+203 1.1984563583476958e-83)(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
290-0-(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))))
230-2(1.695068595608054e-84 6.371801011480971e-167 1.2989506231604242e-154 -3.512699912070907e-268 1.912405088100736e+61 -2.3130421224221106e-308)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
120-0-(*.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-rescue290
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow64
↳(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))overflow68
↳(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))))overflow39
↳(*.f64 M D)overflow21
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow33
↳(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))overflow68
↳(/.f64 h l)overflow28
*.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*o120
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n90
↳(*.f64 M D)overflow21
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))o*u30
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow64
↳(*.f64 M D)overflow21
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow33
↳(/.f64 h l)underflow34
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))n*o20
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))u*o10
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))underflow101
↳(*.f64 M D)underflow26
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))underflow41
↳(/.f64 h l)overflow28
Confusion
Predicted +Predicted -
+3911
-13193
Precision
0.75
Recall
0.78
Confusion?
Predicted +Predicted MaybePredicted -
+39011
-130193
Precision?
0.75
Recall?
0.78
Freqs
test
numberfreq
0204
148
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms512×0valid
Compiler

Compiled 218 to 55 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 12.0ms (29.2% of total)
ival-div: 10.0ms (24.3% of total)
ival-sqrt: 10.0ms (24.3% of total)
ival-pow2: 6.0ms (14.6% of total)
ival-sub: 3.0ms (7.3% of total)
exact: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess230.0ms (1.3%)

Memory
-7.7MiB live, 338.4MiB allocated
Algorithm
1×egg-herbie
Rules
5 232×lower-*.f32
5 224×lower-*.f64
5 184×lower-/.f32
5 180×lower-/.f64
1 444×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

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

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 6 to 6 computations (0% saved)

prune1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶81.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify196.0ms (1.1%)

Memory
41.3MiB live, 351.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
cost-diff0
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
cost-diff5504
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Rules
5 232×lower-*.f32
5 224×lower-*.f64
5 184×lower-/.f32
5 180×lower-/.f64
1 444×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

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

localize52.0ms (0.3%)

Memory
-13.0MiB live, 106.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy2.8609656156878045
(*.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)))))
accuracy5.156331283701666
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy6.707788810989373
(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))))
accuracy7.177683059228664
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Samples
29.0ms256×0valid
Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (37.1% of total)
ival-div: 4.0ms (24.7% of total)
ival-pow2: 3.0ms (18.5% of total)
ival-sqrt: 2.0ms (12.4% of total)
ival-sub: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series85.0ms (0.5%)

Memory
-10.9MiB live, 185.0MiB allocated
Counts
6 → 324
Calls
Call 1
Inputs
#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())
Outputs
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
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#s(alt (+ w0 (+ (* -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)))))) (taylor -inf d) (#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 (+ (* -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 (-.f64 #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 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#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 (+ 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 (-.f64 #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 (+ 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 (-.f64 #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>) () ())) ())
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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 (-.f64 #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 (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#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 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#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 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#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 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#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 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#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 (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
7.0ms
d
@0
((pow (/ (* M D) (* 2 d)) 2) (* 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
((pow (/ (* M D) (* 2 d)) 2) (* 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
@0
((pow (/ (* M D) (* 2 d)) 2) (* 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
((pow (/ (* M D) (* 2 d)) 2) (* 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
l
@inf
((pow (/ (* M D) (* 2 d)) 2) (* 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)))

simplify367.0ms (2.1%)

Memory
9.5MiB live, 533.6MiB allocated
Algorithm
1×egg-herbie
Rules
10 592×lower-*.f64
10 592×lower-*.f32
8 912×lower-fma.f64
8 912×lower-fma.f32
2 750×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06288158
121898136
084797930
Stop Event
1×iter limit
1×node limit
Counts
324 → 317
Calls
Call 1
Inputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
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)))
(* (/ (* 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)))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 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 (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (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)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
w0
(+ 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
(+ 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))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
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w0
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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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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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(* 1/2 (/ (* D M) d))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(* -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))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
w0
(+ 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))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
w0
(+ 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 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0)
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D (*.f64 D (*.f64 w0 (*.f64 M M)))) (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 w0 (*.f64 h (pow.f64 M #s(literal 4 binary64)))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))))) w0)
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 h (fma.f64 h (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 w0 (pow.f64 M #s(literal 4 binary64)))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 h (*.f64 (pow.f64 M #s(literal 6 binary64)) w0))) (*.f64 (*.f64 l l) (*.f64 l (pow.f64 d #s(literal 6 binary64)))))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 M M))) (*.f64 (*.f64 d d) l))) w0)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) 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 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 h (pow.f64 M #s(literal 4 binary64)))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(fma.f64 h (fma.f64 h (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 M #s(literal 4 binary64))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 h (pow.f64 D #s(literal 6 binary64))))) (*.f64 (*.f64 l l) (*.f64 l (pow.f64 d #s(literal 6 binary64)))))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) 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 (*.f64 M M) h) (*.f64 (*.f64 d d) 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 (*.f64 M M) h) (*.f64 (*.f64 d d) 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 (*.f64 M M) h) (*.f64 (*.f64 d d) l)))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(*.f64 h (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (/.f64 (*.f64 (*.f64 (*.f64 w0 d) (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h))))) #s(literal 1/2 binary64)) (*.f64 M (*.f64 D (sqrt.f64 #s(literal -1/4 binary64)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(*.f64 h (fma.f64 (/.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (*.f64 D (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 M (*.f64 M M))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (pow.f64 h #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (/.f64 (*.f64 (*.f64 (*.f64 w0 d) (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h))))) #s(literal 1/2 binary64)) (*.f64 M (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(*.f64 h (fma.f64 (/.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (*.f64 D (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 M (*.f64 M M))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (pow.f64 h #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 w0 (pow.f64 d #s(literal 5 binary64))) (*.f64 (pow.f64 D #s(literal 5 binary64)) (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 7 binary64))))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (/.f64 (*.f64 (*.f64 (*.f64 w0 d) (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h))))) #s(literal 1/2 binary64)) (*.f64 M (*.f64 D (sqrt.f64 #s(literal -1/4 binary64)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D M) (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(*.f64 h (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (*.f64 D M) (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) d) (*.f64 M (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(*.f64 h (fma.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 D (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 M (*.f64 M M))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (pow.f64 h #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (*.f64 D M) (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) d) (*.f64 M (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h))))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
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(fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 h (*.f64 h (pow.f64 M #s(literal 4 binary64))))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(+ 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 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 h (*.f64 h (pow.f64 M #s(literal 4 binary64))))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 h (*.f64 h h)))) (*.f64 (*.f64 l l) (*.f64 l (pow.f64 d #s(literal 6 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) 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 (*.f64 M M) h) (*.f64 (*.f64 d d) 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 (*.f64 M M) h) (*.f64 (*.f64 d d) 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 (*.f64 M M) h) (*.f64 (*.f64 d d) l)))
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D M)) d)

rewrite447.0ms (2.6%)

Memory
12.8MiB live, 850.4MiB allocated
Rules
5 804×lower-*.f32
5 796×lower-*.f64
4 036×lower-fma.f64
4 036×lower-fma.f32
3 008×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01778
02678
18278
255078
3707378
0866178
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 689
Calls
Call 1
Inputs
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))))
(exp.f64 (log.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))
(/.f64 (*.f64 M D) (neg.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D (neg.f64 M)))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 d d)) (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 d #s(literal -2 binary64))) (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (*.f64 D (neg.f64 M))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d)))
(/.f64 (*.f64 D (neg.f64 M)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D (neg.f64 M))))
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) (*.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (*.f64 D (neg.f64 M)))) (*.f64 d (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 d d)))
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 d d))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (neg.f64 (*.f64 d (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))))))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) (neg.f64 d)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D))))
(/.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 #s(literal 2 binary64) d) D))
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D))
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) (*.f64 M D)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)) (/.f64 #s(literal 2 binary64) M))
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) d)
(/.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (*.f64 D (neg.f64 M))))) (neg.f64 (*.f64 d (*.f64 d #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d)) (neg.f64 d))
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 2 binary64) D)) (/.f64 d M))
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 d (*.f64 M D)))
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) d) (/.f64 #s(literal 2 binary64) (*.f64 M D)))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) D) d)
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M)) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (*.f64 D (neg.f64 M))))) (*.f64 d (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 d d)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 d d))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (*.f64 M D) #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) d) D))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) #s(literal -1 binary64)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (neg.f64 d))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64))
(/.f64 (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d))) (/.f64 #s(literal 2 binary64) M))
(/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1 binary64)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (*.f64 D (neg.f64 M)))) #s(literal 1 binary64)) (*.f64 d (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 d d)))
(/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 d d))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) #s(literal 1 binary64)) d)
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) d) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 d))
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) d) #s(literal -2 binary64))
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) (neg.f64 d)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) #s(literal -2 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d)))
(*.f64 M (pow.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d)) #s(literal 1 binary64)))
(*.f64 M (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d))))
(*.f64 M (*.f64 M (/.f64 (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d) D) (*.f64 #s(literal 2 binary64) d))))
(*.f64 M (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d)) #s(literal 1 binary64)))
(*.f64 D (*.f64 M (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d))))
(*.f64 D (*.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) d) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(*.f64 D (/.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) d) (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))))
(*.f64 (*.f64 M D) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)))
(*.f64 (*.f64 M D) (pow.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
(*.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))
(*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 #s(literal 2 binary64) d))))
(*.f64 (*.f64 M D) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
(*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(*.f64 (*.f64 M D) (/.f64 (*.f64 D (neg.f64 M)) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
(*.f64 (*.f64 M D) (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 d d))))
(*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 d (*.f64 M D))))
(*.f64 (*.f64 D (neg.f64 M)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D (neg.f64 M)))))
(*.f64 (*.f64 D (neg.f64 M)) (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
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(*.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 d M) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d M) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d))))
(*.f64 (exp.f64 (log.f64 (*.f64 M D))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) d)))))
(*.f64 (exp.f64 (log.f64 (*.f64 M #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (/.f64 D d))))
(*.f64 (/.f64 (neg.f64 D) d) (/.f64 M #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 D) #s(literal 2 binary64)) (/.f64 M (neg.f64 d)))
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 D #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 M) #s(literal 2 binary64)) (/.f64 D (neg.f64 d)))
(*.f64 (/.f64 #s(literal -1 binary64) d) (*.f64 (*.f64 M D) #s(literal -1/2 binary64)))
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 (neg.f64 M) #s(literal 2 binary64)))
(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (neg.f64 M) d))
(*.f64 (/.f64 M #s(literal -1 binary64)) (/.f64 (neg.f64 D) (*.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 M (neg.f64 d)) (/.f64 (neg.f64 D) #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 (neg.f64 D) d))
(*.f64 (/.f64 D #s(literal -1 binary64)) (/.f64 (neg.f64 M) (*.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 (neg.f64 D) #s(literal -1 binary64)) (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(*.f64 (/.f64 (neg.f64 M) #s(literal -1 binary64)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d))
(*.f64 (*.f64 #s(literal 1 binary64) M) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d))
(*.f64 (*.f64 #s(literal 1 binary64) D) (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))

eval139.0ms (0.8%)

Memory
-7.8MiB live, 391.8MiB allocated
Compiler

Compiled 31 317 to 4 412 computations (85.9% saved)

prune263.0ms (1.5%)

Memory
-4.8MiB live, 471.6MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New993131 006
Fresh000
Picked101
Done000
Total994131 007
Accuracy
88.9%
Counts
1 007 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.3%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
▶82.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
78.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
78.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
▶68.6%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))))))
81.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))))
79.6%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d) (*.f64 M (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))))))))
72.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
▶70.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))))
▶15.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
53.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
▶64.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
49.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0))
Compiler

Compiled 704 to 458 computations (34.9% saved)

simplify202.0ms (1.2%)

Memory
12.8MiB live, 319.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))
cost-diff320
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)))
cost-diff384
(/.f64 (*.f64 (/.f64 D d) D) d)
cost-diff384
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))))))
cost-diff0
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))))))
cost-diff128
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))))
cost-diff704
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))))
cost-diff0
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
cost-diff0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
cost-diff0
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
cost-diff384
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l))
Rules
9 058×lower-*.f32
9 008×lower-*.f64
2 256×lower-/.f32
2 240×lower-/.f64
1 722×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062588
0103588
1215570
2852555
36577555
08287549
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 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 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l))
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))
(*.f64 d #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 h l)
h
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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))))
(*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))
(*.f64 M D)
M
D
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
(*.f64 D #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))
(/.f64 l h)
l
h
(*.f64 #s(literal 2 binary64) (*.f64 d d))
#s(literal 2 binary64)
(*.f64 d d)
d
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)))
(*.f64 M #s(literal 1/2 binary64))
M
#s(literal 1/2 binary64)
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))
(/.f64 (*.f64 (/.f64 D d) D) d)
(*.f64 (/.f64 D d) D)
(/.f64 D d)
D
d
(/.f64 h l)
h
l
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M D) (/.f64 (/.f64 (*.f64 M (*.f64 D h)) (*.f64 d #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) d) l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 M D) (/.f64 (/.f64 (*.f64 M (*.f64 D h)) (*.f64 d #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) d) l)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))
(fma.f64 (*.f64 M D) (/.f64 (/.f64 (*.f64 M (*.f64 D h)) (*.f64 d #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) d) l)) #s(literal 1 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l))
(/.f64 (*.f64 M (*.f64 D h)) (*.f64 l (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))
(*.f64 d #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 h l)
h
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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 D (*.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) D)) (*.f64 d (*.f64 d l))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 D (*.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) D)) (*.f64 d (*.f64 d l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 D (*.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) D)) (*.f64 d (*.f64 d l))))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 D (*.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) D)) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h))
(*.f64 D (*.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) D))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(*.f64 (*.f64 M M) h)
(*.f64 M (*.f64 M h))
(*.f64 M M)
M
h
(*.f64 (*.f64 d d) l)
(*.f64 d (*.f64 d l))
(*.f64 d d)
d
l
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M (*.f64 M (/.f64 h (*.f64 d (*.f64 d l)))))) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))))))
(sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M (*.f64 M (/.f64 h (*.f64 d (*.f64 d l)))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))))
(fma.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M (*.f64 M (/.f64 h (*.f64 d (*.f64 d l)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))))
(*.f64 (*.f64 (/.f64 M (*.f64 d (*.f64 d l))) (*.f64 D #s(literal 1/4 binary64))) (*.f64 M (*.f64 D h)))
(*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))
(*.f64 M (*.f64 M (*.f64 D (*.f64 D #s(literal 1/2 binary64)))))
(*.f64 M D)
M
D
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
(*.f64 D #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 d (*.f64 d l))) h)
(/.f64 l h)
l
h
(*.f64 #s(literal 2 binary64) (*.f64 d d))
#s(literal 2 binary64)
(*.f64 d d)
d
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M (*.f64 M (/.f64 h (*.f64 d (*.f64 d l)))))) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))))
(sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M (*.f64 M (/.f64 h (*.f64 d (*.f64 d l)))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))
(fma.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M (*.f64 M (/.f64 h (*.f64 d (*.f64 d l)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))
(*.f64 (*.f64 (/.f64 M (*.f64 d (*.f64 d l))) (*.f64 D #s(literal 1/4 binary64))) (*.f64 M (*.f64 D h)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)))
(*.f64 M (*.f64 D (*.f64 D (*.f64 M (/.f64 #s(literal 1/4 binary64) (*.f64 d d))))))
(*.f64 M #s(literal 1/2 binary64))
M
#s(literal 1/2 binary64)
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))
(/.f64 (*.f64 M (*.f64 D (*.f64 D #s(literal 1/2 binary64)))) (*.f64 d d))
(/.f64 (*.f64 (/.f64 D d) D) d)
(*.f64 D (/.f64 D (*.f64 d d)))
(*.f64 (/.f64 D d) D)
(/.f64 (*.f64 D D) d)
(/.f64 D d)
D
d
(/.f64 h l)
h
l

localize200.0ms (1.2%)

Memory
-10.4MiB live, 364.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy3.6207492618365493
(/.f64 (*.f64 (/.f64 D d) D) d)
accuracy4.122182488277383
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))
accuracy6.707788810989373
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))))
accuracy7.177683059228664
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))
accuracy2.8609656156878045
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))))))
accuracy6.707788810989373
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))))))
accuracy9.714169248872762
(*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))
accuracy12.408773493122972
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))))
accuracy9.071356648028917
(*.f64 (*.f64 M M) h)
accuracy9.364634538774576
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
accuracy15.414623009993223
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h))
accuracy39.42978144594645
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))
accuracy2.8609656156878045
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy22.820441981547763
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy5.156331283701666
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))
accuracy5.156331283701666
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy6.707788810989373
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))
accuracy6.978828101337752
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l))
Samples
129.0ms256×0valid
Compiler

Compiled 535 to 57 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-mult: 44.0ms (50.3% of total)
ival-div: 23.0ms (26.3% of total)
ival-sqrt: 12.0ms (13.7% of total)
ival-sub: 4.0ms (4.6% of total)
ival-pow2: 2.0ms (2.3% of total)
ival-add: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series207.0ms (1.2%)

Memory
27.0MiB live, 331.0MiB allocated
Counts
25 → 1 332
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h 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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))) (patch (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)) (patch (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 D d) D) d) (patch (/.f64 (*.f64 (/.f64 D d) D) d) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (patch (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M M) h) (patch (*.f64 (*.f64 M M) h) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))) (patch (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())
Outputs
#s(alt (* 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 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf d) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (patch (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (patch (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (patch (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (patch (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow d 2) l) h)) (taylor -inf d) (#s(alt (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))) (patch (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow d 2) l) h)) (taylor -inf d) (#s(alt (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))) (patch (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow d 2) l) h)) (taylor -inf d) (#s(alt (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))) (patch (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow d 2) l) h)) (taylor -inf d) (#s(alt (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))) (patch (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf d) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow D 2) M) (pow d 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
32.0ms
M
@0
((* (/ (* M D) (* d -2)) (/ h l)) (* w0 (sqrt (+ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* d -2)) (/ h l))) 1))) (sqrt (+ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* d -2)) (/ h l))) 1)) (+ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* d -2)) (/ h 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))) (/ (* (* -1/4 (* D D)) (* (* M M) h)) (* (* d d) l)) (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))) (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (* w0 (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))))) (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (* (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (/ h l)) (/ (* (/ D d) D) d) (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (- 1 (* (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (/ h l))) (/ (* M D) (* 2 d)) (/ (* M D) (* d -2)) (* (* -1/4 (* D D)) (* (* M M) h)) (* (* M M) h) (* (/ l h) (* 2 (* d d))) (sqrt (- 1 (* (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (/ h l)))) (* (* M 1/2) (/ (* (/ D d) D) d)))
14.0ms
l
@-inf
((* (/ (* M D) (* d -2)) (/ h l)) (* w0 (sqrt (+ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* d -2)) (/ h l))) 1))) (sqrt (+ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* d -2)) (/ h l))) 1)) (+ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* d -2)) (/ h 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))) (/ (* (* -1/4 (* D D)) (* (* M M) h)) (* (* d d) l)) (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))) (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (* w0 (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))))) (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (* (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (/ h l)) (/ (* (/ D d) D) d) (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (- 1 (* (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (/ h l))) (/ (* M D) (* 2 d)) (/ (* M D) (* d -2)) (* (* -1/4 (* D D)) (* (* M M) h)) (* (* M M) h) (* (/ l h) (* 2 (* d d))) (sqrt (- 1 (* (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (/ h l)))) (* (* M 1/2) (/ (* (/ D d) D) d)))
9.0ms
h
@inf
((* (/ (* M D) (* d -2)) (/ h l)) (* w0 (sqrt (+ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* d -2)) (/ h l))) 1))) (sqrt (+ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* d -2)) (/ h l))) 1)) (+ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* d -2)) (/ h 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))) (/ (* (* -1/4 (* D D)) (* (* M M) h)) (* (* d d) l)) (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))) (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (* w0 (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))))) (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (* (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (/ h l)) (/ (* (/ D d) D) d) (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (- 1 (* (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (/ h l))) (/ (* M D) (* 2 d)) (/ (* M D) (* d -2)) (* (* -1/4 (* D D)) (* (* M M) h)) (* (* M M) h) (* (/ l h) (* 2 (* d d))) (sqrt (- 1 (* (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (/ h l)))) (* (* M 1/2) (/ (* (/ D d) D) d)))
6.0ms
D
@-inf
((* (/ (* M D) (* d -2)) (/ h l)) (* w0 (sqrt (+ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* d -2)) (/ h l))) 1))) (sqrt (+ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* d -2)) (/ h l))) 1)) (+ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* d -2)) (/ h 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))) (/ (* (* -1/4 (* D D)) (* (* M M) h)) (* (* d d) l)) (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))) (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (* w0 (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))))) (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (* (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (/ h l)) (/ (* (/ D d) D) d) (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (- 1 (* (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (/ h l))) (/ (* M D) (* 2 d)) (/ (* M D) (* d -2)) (* (* -1/4 (* D D)) (* (* M M) h)) (* (* M M) h) (* (/ l h) (* 2 (* d d))) (sqrt (- 1 (* (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (/ h l)))) (* (* M 1/2) (/ (* (/ D d) D) d)))
6.0ms
h
@0
((* (/ (* M D) (* d -2)) (/ h l)) (* w0 (sqrt (+ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* d -2)) (/ h l))) 1))) (sqrt (+ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* d -2)) (/ h l))) 1)) (+ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* d -2)) (/ h 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))) (/ (* (* -1/4 (* D D)) (* (* M M) h)) (* (* d d) l)) (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))) (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (* w0 (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))))) (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (* (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (/ h l)) (/ (* (/ D d) D) d) (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (- 1 (* (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (/ h l))) (/ (* M D) (* 2 d)) (/ (* M D) (* d -2)) (* (* -1/4 (* D D)) (* (* M M) h)) (* (* M M) h) (* (/ l h) (* 2 (* d d))) (sqrt (- 1 (* (* (* M 1/2) (* (* M 1/2) (/ (* (/ D d) D) d))) (/ h l)))) (* (* M 1/2) (/ (* (/ D d) D) d)))

simplify433.0ms (2.5%)

Memory
-5.8MiB live, 665.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 430×lower-*.f64
10 430×lower-*.f32
8 480×lower-fma.f64
8 480×lower-fma.f32
2 730×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065834155
1227133918
0817932964
Stop Event
1×iter limit
1×node limit
Counts
1 332 → 1 304
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))))))
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w0
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1
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1
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w0
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1
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w0
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1
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1
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1
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w0
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1
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1
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1
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(+ 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)))
(* 1/4 (/ (* (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
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* 1/4 (/ (* (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)))
(/ (pow D 2) (pow d 2))
(/ (pow D 2) (pow d 2))
(/ (pow D 2) (pow d 2))
(/ (pow D 2) (pow d 2))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
1
(+ 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))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* 2 (/ (* (pow d 2) l) h))
(* 2 (/ (* (pow d 2) l) h))
(* 2 (/ (* (pow d 2) l) h))
(* 2 (/ (* (pow d 2) l) h))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
Outputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D (*.f64 M h))) (*.f64 d l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D (*.f64 M h))) (*.f64 d l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D (*.f64 M h))) (*.f64 d l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D (*.f64 M h))) (*.f64 d l))
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 w0 (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) 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)))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 D (*.f64 D (*.f64 M M))))) (*.f64 (*.f64 d d) l))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 M M) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 M M) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 M M) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 M (fma.f64 (/.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (*.f64 D (*.f64 (*.f64 D D) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h)))) #s(literal -1/8 binary64)) (fma.f64 D (*.f64 (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))) (*.f64 (/.f64 (*.f64 w0 d) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 l h)) #s(literal 1/2 binary64))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 M (fma.f64 (/.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (*.f64 D (*.f64 (*.f64 D D) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h)))) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (*.f64 w0 (pow.f64 d #s(literal 5 binary64))) (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 D #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) #s(literal 1/16 binary64)) (fma.f64 D (*.f64 (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))) (*.f64 (/.f64 (*.f64 w0 d) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 l h)) #s(literal 1/2 binary64)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(*.f64 M (fma.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 D (*.f64 (*.f64 D D) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h)))) #s(literal -1/8 binary64)) (fma.f64 D (*.f64 (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d) (sqrt.f64 (/.f64 h l))) (*.f64 (/.f64 d (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 l h)) #s(literal 1/2 binary64))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(*.f64 M (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 D #s(literal 5 binary64))))) (fma.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 D (*.f64 (*.f64 D D) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h)))) #s(literal -1/8 binary64)) (fma.f64 D (*.f64 (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d) (sqrt.f64 (/.f64 h l))) (*.f64 (/.f64 d (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 l h)) #s(literal 1/2 binary64)))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 M (fma.f64 (/.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (*.f64 D (*.f64 (*.f64 D D) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h)))) #s(literal -1/8 binary64)) (fma.f64 D (*.f64 (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))) (*.f64 (/.f64 (*.f64 w0 d) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 l h)) #s(literal 1/2 binary64))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 M (fma.f64 (/.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (*.f64 D (*.f64 (*.f64 D D) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h)))) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (*.f64 w0 (pow.f64 d #s(literal 5 binary64))) (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 D #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) #s(literal 1/16 binary64)) (fma.f64 D (*.f64 (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))) (*.f64 (/.f64 (*.f64 w0 d) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 l h)) #s(literal 1/2 binary64)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(*.f64 M (fma.f64 D (*.f64 (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d) (sqrt.f64 (/.f64 h l))) (*.f64 (/.f64 d (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 l h)) #s(literal 1/2 binary64)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (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))))))
(*.f64 M (fma.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 D (*.f64 (*.f64 D D) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h)))) #s(literal -1/8 binary64)) (fma.f64 D (*.f64 (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d) (sqrt.f64 (/.f64 h l))) (*.f64 (/.f64 d (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 l h)) #s(literal 1/2 binary64))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(*.f64 M (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 D #s(literal 5 binary64))))) (fma.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 D (*.f64 (*.f64 D D) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h)))) #s(literal -1/8 binary64)) (fma.f64 D (*.f64 (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d) (sqrt.f64 (/.f64 h l))) (*.f64 (/.f64 d (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 l h)) #s(literal 1/2 binary64)))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 D (*.f64 D (*.f64 M M))))) (*.f64 (*.f64 d d) l))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 M M) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 M M) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 M M) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
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(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D (*.f64 D (*.f64 M M)))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D (*.f64 D (*.f64 M M)))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D (*.f64 D (*.f64 M M)))) (*.f64 d d))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D M)) d)
(* -1/2 (/ (* D M) d))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d)
(* -1/2 (/ (* D M) d))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d)
(* -1/2 (/ (* D M) d))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d)
(* -1/2 (/ (* D M) d))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d)
(* 2 (/ (* (pow d 2) l) h))
(*.f64 (*.f64 d d) (*.f64 (/.f64 l h) #s(literal 2 binary64)))
(* 2 (/ (* (pow d 2) l) h))
(*.f64 (*.f64 d d) (*.f64 (/.f64 l h) #s(literal 2 binary64)))
(* 2 (/ (* (pow d 2) l) h))
(*.f64 (*.f64 d d) (*.f64 (/.f64 l h) #s(literal 2 binary64)))
(* 2 (/ (* (pow d 2) l) h))
(*.f64 (*.f64 d d) (*.f64 (/.f64 l h) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) 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 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) h) h)) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) 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 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 h (pow.f64 M #s(literal 6 binary64))) (*.f64 h h)) (*.f64 (*.f64 l l) (*.f64 l (pow.f64 d #s(literal 6 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (pow.f64 M #s(literal 4 binary64))) (*.f64 h h)) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l)))))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 D M))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 D M))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 D M))) (*.f64 d d))
(* 1/2 (/ (* (pow D 2) M) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 D M))) (*.f64 d d))

rewrite857.0ms (4.9%)

Memory
34.4MiB live, 1 505.2MiB allocated
Rules
5 732×lower-/.f32
5 716×lower-/.f64
3 758×lower-*.f32
3 710×lower-*.f64
3 360×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061453
0101448
1321378
22903376
08884363
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 1 366
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d))))))
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))
(/.f64 (*.f64 (/.f64 D d) D) d)
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h))
(*.f64 (*.f64 M M) h)
(*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l))))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))
Outputs
(/.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (/.f64 l h))
(/.f64 (/.f64 h l) (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) (neg.f64 (/.f64 l h)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)) (/.f64 l h)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l h) (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 D (*.f64 M h))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l h) (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)) (/.f64 h l)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)) (/.f64 l h)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l h) (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 D (*.f64 M h))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 l h)) (*.f64 (*.f64 M D) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l h) (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l h) (*.f64 d #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l h) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 M (/.f64 D d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) (/.f64 l h)) (*.f64 (neg.f64 (*.f64 M D)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 l)) (*.f64 (*.f64 M D) (neg.f64 h))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)) l) (*.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)) (neg.f64 l)) (*.f64 #s(literal 1 binary64) (neg.f64 h))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 (neg.f64 (*.f64 M D)) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) (neg.f64 l)) (*.f64 (neg.f64 (*.f64 M D)) (neg.f64 h))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 (*.f64 M (/.f64 D d)) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 l h)) (*.f64 (*.f64 M (/.f64 D d)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 l)) (*.f64 (*.f64 M (/.f64 D d)) (neg.f64 h))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))) (*.f64 h #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (*.f64 d #s(literal 2 binary64))) (*.f64 h (neg.f64 (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l #s(literal -2 binary64)) (*.f64 h (*.f64 M (/.f64 D d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 l) (*.f64 d #s(literal -2 binary64))) (*.f64 (neg.f64 h) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 l) (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))) (*.f64 (neg.f64 h) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 l) (*.f64 d #s(literal 2 binary64))) (*.f64 (neg.f64 h) (neg.f64 (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 l) #s(literal -2 binary64)) (*.f64 (neg.f64 h) (*.f64 M (/.f64 D d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)) (*.f64 (/.f64 h l) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l h) (*.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 l) (*.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (neg.f64 h))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 (/.f64 h l) (neg.f64 (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 h l) (*.f64 M (/.f64 D d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 M D)) (/.f64 h l))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 M (/.f64 D d)) (/.f64 h l))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 l) (*.f64 (neg.f64 h) (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 D (*.f64 M h)) l) d)))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (/.f64 (*.f64 D (*.f64 M h)) l) #s(literal -2 binary64))))
(/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l)))
(/.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 d #s(literal -2 binary64))) l)
(/.f64 (/.f64 (*.f64 D (*.f64 M h)) l) (*.f64 d #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)) (/.f64 l h))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 l h) (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 D (*.f64 M h)))))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 l h)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 M D)) (*.f64 (/.f64 l h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 M D))) (*.f64 (/.f64 l h) (*.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 M (/.f64 D d))) (*.f64 (/.f64 l h) #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) (/.f64 l h)))
(/.f64 (*.f64 (*.f64 M D) (neg.f64 h)) (*.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 l)))
(/.f64 (*.f64 #s(literal 1 binary64) h) (*.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)) l))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 h)) (*.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)) (neg.f64 l)))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) h) (*.f64 (*.f64 d #s(literal 2 binary64)) l))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) (neg.f64 h)) (*.f64 (*.f64 d #s(literal 2 binary64)) (neg.f64 l)))
(/.f64 (*.f64 (*.f64 M (/.f64 D d)) h) (*.f64 #s(literal -2 binary64) l))
(/.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 l h)))
(/.f64 (*.f64 (*.f64 M (/.f64 D d)) (neg.f64 h)) (*.f64 #s(literal -2 binary64) (neg.f64 l)))
(/.f64 (*.f64 h #s(literal 1 binary64)) (*.f64 l (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))))
(/.f64 (*.f64 h (neg.f64 (*.f64 M D))) (*.f64 l (*.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 h (*.f64 M (/.f64 D d))) (*.f64 l #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (*.f64 (neg.f64 l) (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 (neg.f64 h) #s(literal 1 binary64)) (*.f64 (neg.f64 l) (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))))
(/.f64 (*.f64 (neg.f64 h) (neg.f64 (*.f64 M D))) (*.f64 (neg.f64 l) (*.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 h) (*.f64 M (/.f64 D d))) (*.f64 (neg.f64 l) #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 D (*.f64 M h))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l))))
(/.f64 (neg.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 d #s(literal -2 binary64)))) (neg.f64 l))
(/.f64 (neg.f64 (/.f64 (*.f64 D (*.f64 M h)) l)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 h l)) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))))
(/.f64 (*.f64 (/.f64 h l) #s(literal 1 binary64)) (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)))
(/.f64 (*.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 l h))
(/.f64 (*.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (neg.f64 h)) (neg.f64 l))
(/.f64 (*.f64 (/.f64 h l) (neg.f64 (*.f64 M D))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 h l) (*.f64 M (/.f64 D d))) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) (/.f64 h l)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 M (/.f64 D d)) (/.f64 h l)) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 h) (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64))) (neg.f64 l))
(/.f64 (/.f64 (/.f64 (*.f64 D (*.f64 M h)) l) d) #s(literal -2 binary64))
(/.f64 (/.f64 (/.f64 (*.f64 D (*.f64 M h)) l) #s(literal -2 binary64)) d)
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 l h))))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) (neg.f64 h))) (neg.f64 (*.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 l))))
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(*.f64 M (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D D) (*.f64 d d))))
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(*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (*.f64 M #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D D) (*.f64 d d))) M)
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) D) (/.f64 #s(literal 1 binary64) d))
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eval430.0ms (2.5%)

Memory
-0.8MiB live, 619.6MiB allocated
Compiler

Compiled 86 077 to 5 361 computations (93.8% saved)

prune788.0ms (4.5%)

Memory
11.7MiB live, 1 038.7MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New2 655152 670
Fresh628
Picked415
Done000
Total2 665182 683
Accuracy
89.6%
Counts
2 683 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.3%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (*.f64 M D) (/.f64 h (*.f64 #s(literal -2 binary64) (*.f64 d l)))) #s(literal 1 binary64))))
▶82.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
75.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) l) (neg.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) #s(literal 1/4 binary64))) #s(literal 1 binary64))))
▶83.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))))
70.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 (/.f64 h (*.f64 l (*.f64 d (*.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64))))
78.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
73.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 (/.f64 l h) (*.f64 d #s(literal 2 binary64))) d)))))
78.7%
(*.f64 w0 (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M h)) (*.f64 M D)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))))
67.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 (*.f64 d d) l)) (*.f64 #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 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
▶17.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))))
18.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))))))
19.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 D (*.f64 D (*.f64 M (*.f64 M h)))) l)))))
20.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 M (*.f64 M h)) (*.f64 d (*.f64 d l))))))))
54.8%
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
✓64.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
54.4%
#s(approx (* w0 (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 w0 (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) w0))
▶49.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0))
Compiler

Compiled 964 to 626 computations (35.1% saved)

simplify201.0ms (1.2%)

Memory
19.1MiB live, 343.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l)))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
cost-diff704
(fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l)))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))))
cost-diff384
(*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l)))
cost-diff0
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
cost-diff0
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l))
cost-diff0
(*.f64 D D)
cost-diff0
(fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0)
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))))
cost-diff384
(*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))))
cost-diff384
(fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))
Rules
7 228×lower-*.f32
7 180×lower-*.f64
4 782×lower-/.f32
4 768×lower-/.f64
1 726×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064666
0106666
1229666
2894663
33824663
45330663
56544663
08646660
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))
(*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64))
(*.f64 M (/.f64 D d))
M
(/.f64 D d)
D
d
#s(literal -1/2 binary64)
(*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))))
(/.f64 h l)
h
l
(*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0)
(*.f64 D D)
D
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h))
(*.f64 #s(literal -1/8 binary64) (*.f64 M M))
#s(literal -1/8 binary64)
(*.f64 M M)
M
(*.f64 w0 h)
w0
h
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M)
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
#s(literal -1/4 binary64)
(*.f64 D D)
D
M
(*.f64 M h)
h
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))
(*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l)))
(/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d)
(*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))
(*.f64 D D)
D
(*.f64 #s(literal -1/4 binary64) (*.f64 M M))
#s(literal -1/4 binary64)
(*.f64 M M)
M
d
(/.f64 h (*.f64 d l))
h
(*.f64 d l)
l
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))
(/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l)))
(*.f64 D (*.f64 M h))
D
(*.f64 M h)
M
h
(*.f64 #s(literal -2 binary64) (*.f64 d l))
#s(literal -2 binary64)
(*.f64 d l)
d
l
(*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))
#s(literal 1/2 binary64)
(*.f64 M (/.f64 D d))
(/.f64 D d)
#s(literal 1 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D h))) (*.f64 M D)) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D h))) (*.f64 M D)) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 D h))) (*.f64 M D)) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
(*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64))
(*.f64 M (/.f64 D d))
M
(/.f64 D d)
D
d
#s(literal -1/2 binary64)
(*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (/.f64 D (*.f64 d l)))))
(/.f64 h l)
h
l
(*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))
(*.f64 M (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 w0 (/.f64 h (*.f64 d (*.f64 d l))))))) w0))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0)
(fma.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 w0 (/.f64 h (*.f64 d (*.f64 d l))))))) w0)
(*.f64 D D)
D
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l))
(*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 w0 (/.f64 h (*.f64 d (*.f64 d l)))))))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h))
(*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 M M))))
(*.f64 #s(literal -1/8 binary64) (*.f64 M M))
(*.f64 M (*.f64 M #s(literal -1/8 binary64)))
#s(literal -1/8 binary64)
(*.f64 M M)
M
(*.f64 w0 h)
w0
h
(*.f64 (*.f64 d d) l)
(*.f64 d (*.f64 d l))
(*.f64 d d)
d
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64))))) (*.f64 d (*.f64 d l))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64))))) (*.f64 d (*.f64 d l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64))))) (*.f64 d (*.f64 d l))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64))))) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h))
(*.f64 h (*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64)))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M)
(*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
(*.f64 (*.f64 D D) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 D D)
D
M
(*.f64 M h)
h
(*.f64 (*.f64 d d) l)
(*.f64 d (*.f64 d l))
(*.f64 d d)
d
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64))))) (*.f64 d (*.f64 d l))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64))))) (*.f64 d (*.f64 d l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64))))) (*.f64 d (*.f64 d l))))
(*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l)))
(/.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64))))) (*.f64 d (*.f64 d l)))
(/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d)
(*.f64 M (/.f64 (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) d))
(*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))
(*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64))))
(*.f64 D D)
D
(*.f64 #s(literal -1/4 binary64) (*.f64 M M))
(*.f64 M (*.f64 M #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
(*.f64 M M)
M
d
(/.f64 h (*.f64 d l))
h
(*.f64 d l)
l
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D h)) (*.f64 M D)) (*.f64 d (*.f64 d l))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D h)) (*.f64 M D)) (*.f64 d (*.f64 d l))) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D h)) (*.f64 M D)) (*.f64 d (*.f64 d l))) #s(literal -1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l)))
(/.f64 (*.f64 M (*.f64 D h)) (*.f64 l (*.f64 d #s(literal -2 binary64))))
(*.f64 D (*.f64 M h))
(*.f64 M (*.f64 D h))
D
(*.f64 M h)
M
h
(*.f64 #s(literal -2 binary64) (*.f64 d l))
(*.f64 l (*.f64 d #s(literal -2 binary64)))
#s(literal -2 binary64)
(*.f64 d l)
d
l
(*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))
(*.f64 M (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 M (/.f64 D d))
(/.f64 D d)
#s(literal 1 binary64)

localize288.0ms (1.7%)

Memory
-1.9MiB live, 345.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.6931523901908214
(*.f64 M (/.f64 D d))
accuracy4.510566614761536
(*.f64 D (*.f64 M h))
accuracy6.707788810989373
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)))
accuracy6.905477335919498
(/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l)))
accuracy6.707788810989373
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l)))))
accuracy7.216796940559116
(*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l)))
accuracy16.043688545698178
(*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))
accuracy39.42978144594645
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))
accuracy8.159505602972889
(*.f64 (*.f64 d d) l)
accuracy8.26883735973725
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M)
accuracy9.364634538774576
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l))
accuracy39.42978144594645
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))
accuracy9.943457049275876
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l))
accuracy12.163165086291185
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0))
accuracy13.683917610107038
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h))
accuracy14.406418197594062
(fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0)
accuracy2.8609656156878045
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))))
accuracy3.6931523901908214
(*.f64 M (/.f64 D d))
accuracy6.707788810989373
(sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))
accuracy6.959472164616415
(*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))))
Samples
140.0ms256×0valid
Compiler

Compiled 546 to 61 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-mult: 60.0ms (68.7% of total)
ival-div: 13.0ms (14.9% of total)
ival-sqrt: 5.0ms (5.7% of total)
ival-add: 3.0ms (3.4% of total)
ival-pow2: 2.0ms (2.3% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series304.0ms (1.7%)

Memory
-30.5MiB live, 326.2MiB allocated
Counts
26 → 1 404
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (patch (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0) (patch (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0) #<representation binary64>) () ())
#s(alt (*.f64 D D) (patch (*.f64 D D) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))) (patch (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l)))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l)))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (patch (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) #<representation binary64>) () ())
#s(alt (*.f64 M (/.f64 D d)) (patch (*.f64 M (/.f64 D d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (patch (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (patch (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) #<representation binary64>) () ())
#s(alt (*.f64 D (*.f64 M h)) (patch (*.f64 D (*.f64 M h)) #<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 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0)) #<representation binary64>) () ())) ())
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Calls

18 calls:

TimeVariablePointExpression
34.0ms
M
@inf
((+ (* (* (* M (/ D d)) -1/2) (* (/ h l) (* 1/2 (* M (/ D d))))) 1) (* (/ h l) (* 1/2 (* M (/ D d)))) (* w0 (sqrt (+ (* (* (* M (/ D d)) -1/2) (* (/ h l) (* 1/2 (* M (/ D d))))) 1))) (sqrt (+ (* (* (* M (/ D d)) -1/2) (* (/ h l) (* 1/2 (* M (/ D d))))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) 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))) (/ (* (* (* -1/4 (* D D)) M) (* M h)) (* (* d d) l)) (* (/ (* (* D D) (* -1/4 (* M M))) d) (/ h (* d 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))) (+ (* (/ (* D (* M h)) (* -2 (* d l))) (* 1/2 (* M (/ D d)))) 1) (* w0 (sqrt (+ (* (/ (* D (* M h)) (* -2 (* d l))) (* 1/2 (* M (/ D d)))) 1))) (sqrt (+ (* (/ (* D (* M h)) (* -2 (* d l))) (* 1/2 (* M (/ D d)))) 1)) (/ (* D (* M h)) (* -2 (* d l))) (* M (/ D d)) (* (* -1/8 (* M M)) (* w0 h)) (* (* -1/4 (* D D)) M) (* (* d d) l) (* (* D D) (* -1/4 (* M M))) (* D (* M h)))
9.0ms
w0
@-inf
((+ (* (* (* M (/ D d)) -1/2) (* (/ h l) (* 1/2 (* M (/ D d))))) 1) (* (/ h l) (* 1/2 (* M (/ D d)))) (* w0 (sqrt (+ (* (* (* M (/ D d)) -1/2) (* (/ h l) (* 1/2 (* M (/ D d))))) 1))) (sqrt (+ (* (* (* M (/ D d)) -1/2) (* (/ h l) (* 1/2 (* M (/ D d))))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) 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))) (/ (* (* (* -1/4 (* D D)) M) (* M h)) (* (* d d) l)) (* (/ (* (* D D) (* -1/4 (* M M))) d) (/ h (* d 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))) (+ (* (/ (* D (* M h)) (* -2 (* d l))) (* 1/2 (* M (/ D d)))) 1) (* w0 (sqrt (+ (* (/ (* D (* M h)) (* -2 (* d l))) (* 1/2 (* M (/ D d)))) 1))) (sqrt (+ (* (/ (* D (* M h)) (* -2 (* d l))) (* 1/2 (* M (/ D d)))) 1)) (/ (* D (* M h)) (* -2 (* d l))) (* M (/ D d)) (* (* -1/8 (* M M)) (* w0 h)) (* (* -1/4 (* D D)) M) (* (* d d) l) (* (* D D) (* -1/4 (* M M))) (* D (* M h)))
6.0ms
D
@-inf
((+ (* (* (* M (/ D d)) -1/2) (* (/ h l) (* 1/2 (* M (/ D d))))) 1) (* (/ h l) (* 1/2 (* M (/ D d)))) (* w0 (sqrt (+ (* (* (* M (/ D d)) -1/2) (* (/ h l) (* 1/2 (* M (/ D d))))) 1))) (sqrt (+ (* (* (* M (/ D d)) -1/2) (* (/ h l) (* 1/2 (* M (/ D d))))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) 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))) (/ (* (* (* -1/4 (* D D)) M) (* M h)) (* (* d d) l)) (* (/ (* (* D D) (* -1/4 (* M M))) d) (/ h (* d 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))) (+ (* (/ (* D (* M h)) (* -2 (* d l))) (* 1/2 (* M (/ D d)))) 1) (* w0 (sqrt (+ (* (/ (* D (* M h)) (* -2 (* d l))) (* 1/2 (* M (/ D d)))) 1))) (sqrt (+ (* (/ (* D (* M h)) (* -2 (* d l))) (* 1/2 (* M (/ D d)))) 1)) (/ (* D (* M h)) (* -2 (* d l))) (* M (/ D d)) (* (* -1/8 (* M M)) (* w0 h)) (* (* -1/4 (* D D)) M) (* (* d d) l) (* (* D D) (* -1/4 (* M M))) (* D (* M h)))
6.0ms
M
@-inf
((+ (* (* (* M (/ D d)) -1/2) (* (/ h l) (* 1/2 (* M (/ D d))))) 1) (* (/ h l) (* 1/2 (* M (/ D d)))) (* w0 (sqrt (+ (* (* (* M (/ D d)) -1/2) (* (/ h l) (* 1/2 (* M (/ D d))))) 1))) (sqrt (+ (* (* (* M (/ D d)) -1/2) (* (/ h l) (* 1/2 (* M (/ D d))))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) 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))) (/ (* (* (* -1/4 (* D D)) M) (* M h)) (* (* d d) l)) (* (/ (* (* D D) (* -1/4 (* M M))) d) (/ h (* d 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))) (+ (* (/ (* D (* M h)) (* -2 (* d l))) (* 1/2 (* M (/ D d)))) 1) (* w0 (sqrt (+ (* (/ (* D (* M h)) (* -2 (* d l))) (* 1/2 (* M (/ D d)))) 1))) (sqrt (+ (* (/ (* D (* M h)) (* -2 (* d l))) (* 1/2 (* M (/ D d)))) 1)) (/ (* D (* M h)) (* -2 (* d l))) (* M (/ D d)) (* (* -1/8 (* M M)) (* w0 h)) (* (* -1/4 (* D D)) M) (* (* d d) l) (* (* D D) (* -1/4 (* M M))) (* D (* M h)))
6.0ms
M
@0
((+ (* (* (* M (/ D d)) -1/2) (* (/ h l) (* 1/2 (* M (/ D d))))) 1) (* (/ h l) (* 1/2 (* M (/ D d)))) (* w0 (sqrt (+ (* (* (* M (/ D d)) -1/2) (* (/ h l) (* 1/2 (* M (/ D d))))) 1))) (sqrt (+ (* (* (* M (/ D d)) -1/2) (* (/ h l) (* 1/2 (* M (/ D d))))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) 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))) (/ (* (* (* -1/4 (* D D)) M) (* M h)) (* (* d d) l)) (* (/ (* (* D D) (* -1/4 (* M M))) d) (/ h (* d 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))) (+ (* (/ (* D (* M h)) (* -2 (* d l))) (* 1/2 (* M (/ D d)))) 1) (* w0 (sqrt (+ (* (/ (* D (* M h)) (* -2 (* d l))) (* 1/2 (* M (/ D d)))) 1))) (sqrt (+ (* (/ (* D (* M h)) (* -2 (* d l))) (* 1/2 (* M (/ D d)))) 1)) (/ (* D (* M h)) (* -2 (* d l))) (* M (/ D d)) (* (* -1/8 (* M M)) (* w0 h)) (* (* -1/4 (* D D)) M) (* (* d d) l) (* (* D D) (* -1/4 (* M M))) (* D (* M h)))

simplify624.0ms (3.6%)

Memory
-2.9MiB live, 706.5MiB allocated
Algorithm
1×egg-herbie
Rules
8 488×lower-*.f64
8 488×lower-*.f32
6 740×lower-fma.f64
6 740×lower-fma.f32
4 630×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067935432
1234235264
0848134232
Stop Event
1×iter limit
1×node limit
Counts
1 404 → 1 362
Calls
Call 1
Inputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1/8 (* (pow M 2) (* h w0)))
(* -1/8 (* (pow M 2) (* h w0)))
(* -1/8 (* (pow M 2) (* h w0)))
(* -1/8 (* (pow M 2) (* h w0)))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1/8 (* (pow M 2) (* h 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))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (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 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1/8 (* (pow M 2) (* h w0)))
(* -1/8 (* (pow M 2) (* h w0)))
(* -1/8 (* (pow M 2) (* h w0)))
(* -1/8 (* (pow M 2) (* h w0)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* 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)))))))))
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)))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
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)))
(* -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
(+ 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)))))))))
(* -1/2 (/ (* D (* M h)) (* d l)))
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(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/8 (* (pow M 2) (* h w0)))
(* -1/8 (* (pow M 2) (* h w0)))
(* -1/8 (* (pow M 2) (* h w0)))
(* -1/8 (* (pow M 2) (* h w0)))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* 1/2 (/ (* 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 (* 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))))))))
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(* 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
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1
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w0
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w0
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(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
w0
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1
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1
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (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
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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))))
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)))))))
(* -1/2 (/ (* 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 M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
1
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* 1/2 (/ (* D (* M h)) (* d l)))
(* 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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1
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w0
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w0
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(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
w0
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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1
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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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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
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* -1/2 (/ (* D (* M 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 M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
Outputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (/.f64 h (*.f64 (*.f64 d d) l))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (/.f64 h (*.f64 (*.f64 d d) l))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (/.f64 h (*.f64 (*.f64 d d) l))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (/.f64 h (*.f64 (*.f64 d d) l))) w0)
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 (*.f64 d d) l))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 (*.f64 d d) l))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 (*.f64 d d) l))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 (*.f64 d d) l))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* 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))))) (+ (* 1/2 (* (/ 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))))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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1
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1
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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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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) 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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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* (/ (* 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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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* 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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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) 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 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 h h))) (*.f64 (*.f64 l (pow.f64 d #s(literal 4 binary64))) l)) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(+ 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 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 M #s(literal 4 binary64))) (*.f64 h h)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 l (pow.f64 d #s(literal 4 binary64))) l))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 h (*.f64 h h))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (*.f64 l (*.f64 l l)))) #s(literal 1 binary64)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D (*.f64 M h))) (*.f64 d l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D (*.f64 M h))) (*.f64 d l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D (*.f64 M h))) (*.f64 d l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D (*.f64 M h))) (*.f64 d l))
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(* (pow d 2) l)
(*.f64 (*.f64 d d) l)
(* (pow d 2) l)
(*.f64 (*.f64 d d) l)
(* (pow d 2) l)
(*.f64 (*.f64 d d) l)
(* (pow d 2) l)
(*.f64 (*.f64 d d) l)

rewrite517.0ms (3%)

Memory
48.3MiB live, 982.0MiB allocated
Rules
4 678×lower-*.f32
4 630×lower-*.f64
4 112×lower-/.f32
4 098×lower-/.f64
3 508×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064507
0106507
1342507
22549489
08254489
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 742
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))
(*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0)
(*.f64 D D)
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l))
(*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))
(fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)))
(/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l)))
(*.f64 M (/.f64 D d))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M)
(*.f64 (*.f64 d d) l)
(*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))
(*.f64 D (*.f64 M h))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))))) (fma.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))))) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))))))
(fma.f64 M (*.f64 (/.f64 D d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 M (*.f64 (*.f64 (/.f64 D d) #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 D d) (*.f64 M (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 h l) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 M D) d) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (/.f64 h l) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))) (/.f64 (*.f64 M D) d) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))) M) (*.f64 (/.f64 D d) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))) (/.f64 (*.f64 M D) d)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 M D) d)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1/2 binary64)) (/.f64 (*.f64 M D) d) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)))) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))))) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)))) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)))))
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(/.f64 (*.f64 (*.f64 D #s(literal -1/2 binary64)) (*.f64 M h)) (*.f64 d l))
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(/.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 d #s(literal -2 binary64))) l)
(/.f64 (/.f64 (*.f64 (*.f64 M h) (*.f64 D #s(literal -1/2 binary64))) d) l)
(/.f64 (/.f64 (*.f64 (*.f64 M h) (*.f64 D #s(literal -1/2 binary64))) l) d)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 D (*.f64 M h))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 d l)))))
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(*.f64 (*.f64 (*.f64 M h) (*.f64 D #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 d l)))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (*.f64 M D) (neg.f64 d)))
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(*.f64 (*.f64 M M) (*.f64 (*.f64 D D) #s(literal -1/4 binary64)))
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(*.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 D (*.f64 M M)))
(*.f64 (*.f64 M #s(literal -1/4 binary64)) (*.f64 M (*.f64 D D)))
(*.f64 (*.f64 D (*.f64 (*.f64 M M) #s(literal -1/4 binary64))) D)
(*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1/4 binary64))
(*.f64 M (*.f64 D h))
(*.f64 M (*.f64 h D))
(*.f64 D (*.f64 M h))
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(*.f64 (*.f64 M h) D)
(*.f64 (*.f64 D h) M)

eval394.0ms (2.3%)

Memory
-18.7MiB live, 456.1MiB allocated
Compiler

Compiled 71 564 to 3 234 computations (95.5% saved)

prune1.3s (7.3%)

Memory
-13.5MiB live, 1 327.2MiB allocated
Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New2 257192 276
Fresh4812
Picked415
Done011
Total2 265292 294
Accuracy
89.6%
Counts
2 294 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64))))
75.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) l) (neg.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) #s(literal 1/4 binary64))) #s(literal 1 binary64))))
✓83.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))))
▶83.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
70.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 (/.f64 h (*.f64 l (*.f64 d (*.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64))))
78.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
78.7%
(*.f64 w0 (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M h)) (*.f64 M D)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))))
67.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
20.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (/.f64 h d) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64)))) d)) l))))
19.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
22.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1/4 binary64)) d) (/.f64 h (*.f64 d l))))))
18.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))))))
19.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 D (*.f64 D (*.f64 M (*.f64 M h)))) l)))))
▶19.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))))
20.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 M (*.f64 M h)) (*.f64 d (*.f64 d l))))))))
✓64.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
50.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) l) (*.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 h (*.f64 d d))) w0))
58.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 w0 (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M)))) (*.f64 d l)) w0))
57.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
64.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))) D w0))
50.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))) w0))
57.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))) w0))
56.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 h (*.f64 d (*.f64 d l)))) w0))
53.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 M #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))) w0))
57.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M h)) w0) (*.f64 d (*.f64 d l)))) w0))
33.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d (*.f64 d l)) (*.f64 w0 (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M)))))) #s(literal -1 binary64))) w0))
▶57.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0))
▶13.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
▶22.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))))
Compiler

Compiled 1 547 to 968 computations (37.4% saved)

simplify185.0ms (1.1%)

Memory
1.7MiB live, 395.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 M M)
cost-diff0
#s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M)))))
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))))
cost-diff1024
(*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))
cost-diff0
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))))
cost-diff0
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0))
cost-diff0
(/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l)))
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0))
cost-diff128
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0)
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D))
cost-diff0
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
cost-diff0
#s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)))
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
cost-diff0
(*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64))))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
cost-diff384
(fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))
Rules
7 436×lower-*.f32
7 382×lower-*.f64
3 808×lower-/.f32
3 796×lower-/.f64
1 824×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076795
0117792
1277792
21116789
34619783
45256783
56225783
08067771
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))
(*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64))))
(*.f64 M h)
M
h
(/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))
D
(*.f64 (*.f64 d l) #s(literal -2 binary64))
(*.f64 d l)
d
l
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))
#s(literal 1/2 binary64)
(*.f64 M (/.f64 D d))
(/.f64 D d)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0)
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h))
#s(literal -1/8 binary64)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
w0
(*.f64 D D)
D
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0)
(/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0))
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(*.f64 (*.f64 M (*.f64 M h)) w0)
(*.f64 M (*.f64 M h))
M
(*.f64 M h)
h
w0
(*.f64 d (*.f64 d l))
d
(*.f64 d l)
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))
(*.f64 (*.f64 D D) #s(literal -1/4 binary64))
(*.f64 D D)
D
#s(literal -1/4 binary64)
(*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))
M
(/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))
(*.f64 M h)
h
(*.f64 d (*.f64 d l))
d
(*.f64 d l)
l
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))))
#s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M)))))
(*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))
(*.f64 M M)
M
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M)))
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 D D) h) w0)
(*.f64 (*.f64 D D) h)
(*.f64 D D)
D
h
w0
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(/.f64 w0 (*.f64 M M))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M h) (/.f64 (*.f64 D (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) (*.f64 (*.f64 d (*.f64 l #s(literal -2 binary64))) d)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 M h) (/.f64 (*.f64 D (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) (*.f64 (*.f64 d (*.f64 l #s(literal -2 binary64))) d)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))
(fma.f64 (*.f64 M h) (/.f64 (*.f64 D (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) (*.f64 (*.f64 d (*.f64 l #s(literal -2 binary64))) d)) #s(literal 1 binary64))
(*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 M h) D) (*.f64 d (*.f64 l #s(literal -2 binary64))))
(*.f64 M h)
M
h
(/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))
(/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64))))
D
(*.f64 (*.f64 d l) #s(literal -2 binary64))
(*.f64 d (*.f64 l #s(literal -2 binary64)))
(*.f64 d l)
d
l
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))
(*.f64 M (*.f64 #s(literal 1/2 binary64) (/.f64 D d)))
#s(literal 1/2 binary64)
(*.f64 M (/.f64 D d))
(/.f64 D d)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 w0 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M))))) (/.f64 D (*.f64 d (*.f64 d l))))))
#s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)))
#s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 w0 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M))))) (/.f64 D (*.f64 d (*.f64 d l)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 w0 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M))))) (/.f64 D (*.f64 d (*.f64 d l))))
(*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D))
(*.f64 D (*.f64 w0 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M))))))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0)
(*.f64 w0 (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M))))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h))
(*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M)))
#s(literal -1/8 binary64)
(*.f64 (*.f64 M M) h)
(*.f64 M (*.f64 M h))
(*.f64 M M)
M
h
w0
(*.f64 D D)
D
(*.f64 (*.f64 d d) l)
(*.f64 d (*.f64 d l))
(*.f64 d d)
d
l
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 w0 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M))))) (/.f64 D (*.f64 d (*.f64 d l))) w0))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0)
(fma.f64 (*.f64 w0 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M))))) (/.f64 D (*.f64 d (*.f64 d l))) w0)
(/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 w0 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M))))) (/.f64 D (*.f64 d (*.f64 d l))))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0))
(*.f64 D (*.f64 w0 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M))))))
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(*.f64 (*.f64 M (*.f64 M h)) w0)
(*.f64 w0 (*.f64 M (*.f64 M h)))
(*.f64 M (*.f64 M h))
M
(*.f64 M h)
h
w0
(*.f64 d (*.f64 d l))
d
(*.f64 d l)
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))
(/.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 D D) #s(literal -1/4 binary64))
(*.f64 D D)
D
#s(literal -1/4 binary64)
(*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))
(/.f64 (*.f64 M (*.f64 M h)) (*.f64 d (*.f64 d l)))
M
(/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))
(*.f64 M h)
h
(*.f64 d (*.f64 d l))
d
(*.f64 d l)
l
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (fma.f64 (*.f64 w0 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M))))) (/.f64 D (*.f64 d (*.f64 d l))) w0)))
#s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M)))))
#s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (fma.f64 (*.f64 w0 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M))))) (/.f64 D (*.f64 d (*.f64 d l))) w0))
(*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))
(fma.f64 (*.f64 w0 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M))))) (/.f64 D (*.f64 d (*.f64 d l))) w0)
(*.f64 M M)
M
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w0 (*.f64 h (*.f64 D D))) (*.f64 d (*.f64 d l))) (/.f64 w0 (*.f64 M M)))
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 w0 (*.f64 h (*.f64 D D))) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 (*.f64 D D) h) w0)
(*.f64 w0 (*.f64 h (*.f64 D D)))
(*.f64 (*.f64 D D) h)
(*.f64 h (*.f64 D D))
(*.f64 D D)
D
h
w0
(*.f64 (*.f64 d d) l)
(*.f64 d (*.f64 d l))
(*.f64 d d)
d
l
(/.f64 w0 (*.f64 M M))

localize244.0ms (1.4%)

Memory
19.0MiB live, 553.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy8.159505602972889
(*.f64 (*.f64 d d) l)
accuracy12.163165086291185
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))))
accuracy14.40352891866327
(/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l))
accuracy33.52326784602621
(*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))
accuracy6.707788810989373
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))))
accuracy7.156852332798356
(/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))
accuracy15.915785191845323
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))
accuracy39.42978144594645
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))
accuracy6.0324330398544745
(*.f64 (*.f64 M (*.f64 M h)) w0)
accuracy10.942209358546945
(/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l)))
accuracy12.163165086291185
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0))
accuracy14.79057954623785
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0))
accuracy10.942209358546945
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
accuracy12.163165086291185
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
accuracy14.846907682638193
(*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D))
accuracy39.312486216121286
#s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)))
accuracy3.6931523901908236
(*.f64 M (/.f64 D d))
accuracy4.173845726384147
(*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64))))
accuracy6.570598619597226
(/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))
accuracy6.707788810989373
(sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)))
Samples
150.0ms256×0valid
Compiler

Compiled 592 to 68 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-mult: 69.0ms (60% of total)
ival-div: 33.0ms (28.7% of total)
ival-add: 5.0ms (4.3% of total)
ival-sqrt: 4.0ms (3.5% of total)
ival-pow2: 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)

series210.0ms (1.2%)

Memory
1.1MiB live, 478.7MiB allocated
Counts
26 → 1 500
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (patch (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (patch #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (patch (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0) (patch (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) (patch (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (patch (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))) (patch (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M)))) (patch (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M)))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M)))))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))) (patch #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))) #<representation binary64>) () ())
#s(alt (*.f64 M M) (patch (*.f64 M M) #<representation binary64>) () ())
#s(alt (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64))) (patch (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 M (/.f64 D d)) (patch (*.f64 M (/.f64 D d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M (*.f64 M h)) w0) (patch (*.f64 (*.f64 M (*.f64 M h)) w0) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))) (patch (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation binary64>) () ())
Outputs
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)))) #<representation binary64>) () ())) ())
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#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (patch #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (patch #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (patch #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))) #<representation binary64>) () ())) ())
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#s(alt (* -1/8 (* (pow D 2) (* (pow M 2) (* h w0)))) (taylor 0 w0) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (patch (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) #<representation binary64>) () ())) ())
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#s(alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))) (patch (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))) #<representation binary64>) () ())) ())
#s(alt w0 (taylor -inf d) (#s(alt (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M)))) (patch (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M)))) #<representation binary64>) () ())) ())
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#s(alt w0 (taylor -inf d) (#s(alt #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))) (patch #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ D (* d l))) (taylor -inf d) (#s(alt (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64))) (patch (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ D (* d l))) (taylor -inf d) (#s(alt (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64))) (patch (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ D (* d l))) (taylor -inf d) (#s(alt (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64))) (patch (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ D (* d l))) (taylor -inf d) (#s(alt (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64))) (patch (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* D M) d) (taylor -inf d) (#s(alt (*.f64 M (/.f64 D d)) (patch (*.f64 M (/.f64 D d)) #<representation binary64>) () ())) ())
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#s(alt (/ (* D M) d) (taylor -inf d) (#s(alt (*.f64 M (/.f64 D d)) (patch (*.f64 M (/.f64 D d)) #<representation binary64>) () ())) ())
#s(alt (/ (* D M) d) (taylor -inf d) (#s(alt (*.f64 M (/.f64 D d)) (patch (*.f64 M (/.f64 D d)) #<representation binary64>) () ())) ())
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#s(alt (/ (* M h) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))) (patch (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))) #<representation binary64>) () ())) ())
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#s(alt (/ (* (pow D 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
19.0ms
w0
@0
((+ (* (* (* M h) (/ D (* (* d l) -2))) (* 1/2 (* M (/ D d)))) 1) (* w0 (sqrt (+ (* (* (* M h) (/ D (* (* d l) -2))) (* 1/2 (* M (/ D d)))) 1))) (sqrt (+ (* (* (* M h) (/ D (* (* d l) -2))) (* 1/2 (* M (/ D d)))) 1)) (* (* M h) (/ D (* (* d l) -2))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/ (* (* (* -1/8 (* (* M M) h)) w0) (* D D)) (* (* d d) l)) (* (* (* -1/8 (* (* M M) h)) w0) (* D D)) (+ (/ (* (* (* D D) -1/8) (* (* M (* M h)) w0)) (* d (* d l))) w0) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* (* (* D D) -1/8) (* (* M (* M h)) w0)) (* d (* d l))) (* (* (* D D) -1/8) (* (* M (* M h)) w0)) (* 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 D) -1/4) (* M (/ (* M h) (* d (* d l))))) (* (* M M) (+ (* -1/8 (/ (* (* (* D D) h) w0) (* (* d d) l))) (/ w0 (* M M)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (* M M) (/ D (* (* d l) -2)) (* M (/ D d)) (* (* M (* M h)) w0) (/ (* M h) (* d (* d l))) (/ (* (* (* D D) h) w0) (* (* d d) l)) (* (* d d) l))
12.0ms
h
@0
((+ (* (* (* M h) (/ D (* (* d l) -2))) (* 1/2 (* M (/ D d)))) 1) (* w0 (sqrt (+ (* (* (* M h) (/ D (* (* d l) -2))) (* 1/2 (* M (/ D d)))) 1))) (sqrt (+ (* (* (* M h) (/ D (* (* d l) -2))) (* 1/2 (* M (/ D d)))) 1)) (* (* M h) (/ D (* (* d l) -2))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/ (* (* (* -1/8 (* (* M M) h)) w0) (* D D)) (* (* d d) l)) (* (* (* -1/8 (* (* M M) h)) w0) (* D D)) (+ (/ (* (* (* D D) -1/8) (* (* M (* M h)) w0)) (* d (* d l))) w0) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* (* (* D D) -1/8) (* (* M (* M h)) w0)) (* d (* d l))) (* (* (* D D) -1/8) (* (* M (* M h)) w0)) (* 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 D) -1/4) (* M (/ (* M h) (* d (* d l))))) (* (* M M) (+ (* -1/8 (/ (* (* (* D D) h) w0) (* (* d d) l))) (/ w0 (* M M)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (* M M) (/ D (* (* d l) -2)) (* M (/ D d)) (* (* M (* M h)) w0) (/ (* M h) (* d (* d l))) (/ (* (* (* D D) h) w0) (* (* d d) l)) (* (* d d) l))
8.0ms
M
@0
((+ (* (* (* M h) (/ D (* (* d l) -2))) (* 1/2 (* M (/ D d)))) 1) (* w0 (sqrt (+ (* (* (* M h) (/ D (* (* d l) -2))) (* 1/2 (* M (/ D d)))) 1))) (sqrt (+ (* (* (* M h) (/ D (* (* d l) -2))) (* 1/2 (* M (/ D d)))) 1)) (* (* M h) (/ D (* (* d l) -2))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/ (* (* (* -1/8 (* (* M M) h)) w0) (* D D)) (* (* d d) l)) (* (* (* -1/8 (* (* M M) h)) w0) (* D D)) (+ (/ (* (* (* D D) -1/8) (* (* M (* M h)) w0)) (* d (* d l))) w0) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* (* (* D D) -1/8) (* (* M (* M h)) w0)) (* d (* d l))) (* (* (* D D) -1/8) (* (* M (* M h)) w0)) (* 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 D) -1/4) (* M (/ (* M h) (* d (* d l))))) (* (* M M) (+ (* -1/8 (/ (* (* (* D D) h) w0) (* (* d d) l))) (/ w0 (* M M)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (* M M) (/ D (* (* d l) -2)) (* M (/ D d)) (* (* M (* M h)) w0) (/ (* M h) (* d (* d l))) (/ (* (* (* D D) h) w0) (* (* d d) l)) (* (* d d) l))
6.0ms
l
@0
((+ (* (* (* M h) (/ D (* (* d l) -2))) (* 1/2 (* M (/ D d)))) 1) (* w0 (sqrt (+ (* (* (* M h) (/ D (* (* d l) -2))) (* 1/2 (* M (/ D d)))) 1))) (sqrt (+ (* (* (* M h) (/ D (* (* d l) -2))) (* 1/2 (* M (/ D d)))) 1)) (* (* M h) (/ D (* (* d l) -2))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/ (* (* (* -1/8 (* (* M M) h)) w0) (* D D)) (* (* d d) l)) (* (* (* -1/8 (* (* M M) h)) w0) (* D D)) (+ (/ (* (* (* D D) -1/8) (* (* M (* M h)) w0)) (* d (* d l))) w0) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* (* (* D D) -1/8) (* (* M (* M h)) w0)) (* d (* d l))) (* (* (* D D) -1/8) (* (* M (* M h)) w0)) (* 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 D) -1/4) (* M (/ (* M h) (* d (* d l))))) (* (* M M) (+ (* -1/8 (/ (* (* (* D D) h) w0) (* (* d d) l))) (/ w0 (* M M)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (* M M) (/ D (* (* d l) -2)) (* M (/ D d)) (* (* M (* M h)) w0) (/ (* M h) (* d (* d l))) (/ (* (* (* D D) h) w0) (* (* d d) l)) (* (* d d) l))
6.0ms
d
@-inf
((+ (* (* (* M h) (/ D (* (* d l) -2))) (* 1/2 (* M (/ D d)))) 1) (* w0 (sqrt (+ (* (* (* M h) (/ D (* (* d l) -2))) (* 1/2 (* M (/ D d)))) 1))) (sqrt (+ (* (* (* M h) (/ D (* (* d l) -2))) (* 1/2 (* M (/ D d)))) 1)) (* (* M h) (/ D (* (* d l) -2))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/ (* (* (* -1/8 (* (* M M) h)) w0) (* D D)) (* (* d d) l)) (* (* (* -1/8 (* (* M M) h)) w0) (* D D)) (+ (/ (* (* (* D D) -1/8) (* (* M (* M h)) w0)) (* d (* d l))) w0) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/ (* (* (* D D) -1/8) (* (* M (* M h)) w0)) (* d (* d l))) (* (* (* D D) -1/8) (* (* M (* M h)) w0)) (* 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 D) -1/4) (* M (/ (* M h) (* d (* d l))))) (* (* M M) (+ (* -1/8 (/ (* (* (* D D) h) w0) (* (* d d) l))) (/ w0 (* M M)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (* M M) (/ D (* (* d l) -2)) (* M (/ D d)) (* (* M (* M h)) w0) (/ (* M h) (* d (* d l))) (/ (* (* (* D D) h) w0) (* (* d d) l)) (* (* d d) l))

simplify478.0ms (2.7%)

Memory
24.3MiB live, 635.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 594×lower-*.f64
8 594×lower-*.f32
7 176×lower-fma.f64
7 176×lower-fma.f32
4 662×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068635127
1237335020
0860234065
Stop Event
1×iter limit
1×node limit
Counts
1 500 → 1 437
Calls
Call 1
Inputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* (pow M 2) (* w0 (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))
(* (pow M 2) (* w0 (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))
(* (pow M 2) (* w0 (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))
(* (pow M 2) (* w0 (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
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(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* (pow M 2) (* w0 (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))
(* (pow M 2) (* w0 (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))
(* (pow M 2) (* w0 (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
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(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
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(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
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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))))))
(* -1 (* (pow M 2) (* w0 (- (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))))
(* -1 (* (pow M 2) (* w0 (- (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))))
(* -1 (* (pow M 2) (* w0 (- (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))))
(* -1 (* (pow M 2) (* w0 (- (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
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(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
1
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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w0
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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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(+ 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)))))))))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* 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)))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
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1
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w0
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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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1
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w0
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w0
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w0
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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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 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* -1/2 (/ (* D (* M 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
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w0
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
w0
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w0
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -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
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -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))))
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(* -1/2 (/ D (* d l)))
(* -1/2 (/ D (* d l)))
(* -1/2 (/ D (* d l)))
(* -1/2 (/ D (* d l)))
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* M h) (* (pow d 2) l))
(/ (* M h) (* (pow d 2) l))
(/ (* M h) (* (pow d 2) l))
(/ (* M h) (* (pow d 2) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* -1/2 (/ (* 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
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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w0
(+ 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))))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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 (* -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
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w0
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
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(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* -1/2 (/ D (* d l)))
(* -1/2 (/ D (* d l)))
(* -1/2 (/ D (* d l)))
(* -1/2 (/ D (* d l)))
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* M h) (* (pow d 2) l))
(/ (* M h) (* (pow d 2) l))
(/ (* M h) (* (pow d 2) l))
(/ (* M h) (* (pow d 2) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
Outputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (*.f64 w0 h))) (*.f64 (*.f64 d d) l))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (*.f64 w0 h))) (*.f64 (*.f64 d d) l))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (*.f64 w0 h))) (*.f64 (*.f64 d d) l))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (*.f64 w0 h)))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (*.f64 w0 h)))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (*.f64 w0 h)))
(* -1/8 (* (pow D 2) (* (pow M 2) (* h w0))))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (*.f64 w0 h)))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(+ w0 (+ (* -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)))))))
(fma.f64 w0 (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (*.f64 w0 (*.f64 h h)) h))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (*.f64 h (pow.f64 M #s(literal 4 binary64))) h) w0)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l)))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (*.f64 w0 h))) (*.f64 (*.f64 d d) l))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (*.f64 w0 h))) (*.f64 (*.f64 d d) l))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (*.f64 w0 h))) (*.f64 (*.f64 d d) l))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (*.f64 w0 h))) (*.f64 (*.f64 d d) l))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 w0 (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (*.f64 h (pow.f64 M #s(literal 4 binary64))) h) w0)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l 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)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(fma.f64 w0 (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (*.f64 w0 (*.f64 h h)) h))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (*.f64 h (pow.f64 M #s(literal 4 binary64))) h) w0)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (*.f64 w0 h))) (*.f64 (*.f64 d d) l))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (*.f64 w0 h))) (*.f64 (*.f64 d d) l))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (*.f64 w0 h))) (*.f64 (*.f64 d d) l))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (*.f64 w0 h))) (*.f64 (*.f64 d d) l))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 w0 (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (*.f64 h (pow.f64 M #s(literal 4 binary64))) h) w0)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l 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)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(fma.f64 w0 (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (*.f64 w0 (*.f64 h h)) h))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (*.f64 h (pow.f64 M #s(literal 4 binary64))) h) w0)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 M M)) (*.f64 (*.f64 d d) 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 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h (pow.f64 M #s(literal 4 binary64))) h) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (*.f64 h (pow.f64 M #s(literal 4 binary64))) h)) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l))) (fma.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 h (*.f64 h h)))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 w0 (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (*.f64 h (pow.f64 M #s(literal 4 binary64))) h) w0)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l 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)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(fma.f64 w0 (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (*.f64 w0 (*.f64 h h)) h))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (*.f64 h (pow.f64 M #s(literal 4 binary64))) h) w0)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l)))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0)
(* -1/2 (/ D (* d l)))
(*.f64 #s(literal -1/2 binary64) (/.f64 D (*.f64 d l)))
(* -1/2 (/ D (* d l)))
(*.f64 #s(literal -1/2 binary64) (/.f64 D (*.f64 d l)))
(* -1/2 (/ D (* d l)))
(*.f64 #s(literal -1/2 binary64) (/.f64 D (*.f64 d l)))
(* -1/2 (/ D (* d l)))
(*.f64 #s(literal -1/2 binary64) (/.f64 D (*.f64 d l)))
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* M h) (* (pow d 2) l))
(/.f64 (*.f64 M h) (*.f64 (*.f64 d d) l))
(/ (* M h) (* (pow d 2) l))
(/.f64 (*.f64 M h) (*.f64 (*.f64 d d) l))
(/ (* M h) (* (pow d 2) l))
(/.f64 (*.f64 M h) (*.f64 (*.f64 d d) l))
(/ (* M h) (* (pow d 2) l))
(/.f64 (*.f64 M h) (*.f64 (*.f64 d d) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l))
(/ (* (pow D 2) (* h w0)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l))
(* (pow d 2) l)
(*.f64 (*.f64 d d) l)
(* (pow d 2) l)
(*.f64 (*.f64 d d) l)
(* (pow d 2) l)
(*.f64 (*.f64 d d) l)
(* (pow d 2) l)
(*.f64 (*.f64 d d) l)

rewrite446.0ms (2.6%)

Memory
-29.1MiB live, 1 053.4MiB allocated
Rules
7 652×lower-*.f32
7 598×lower-*.f64
4 116×lower-/.f32
4 104×lower-/.f64
3 268×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076605
0117605
1415605
23319602
09648593
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 628
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)))
(*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0))
(/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))
(*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))))
#s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M)))))
(*.f64 M M)
(/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))
(*.f64 M (/.f64 D d))
(*.f64 (*.f64 M (*.f64 M h)) w0)
(/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))
(/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 d d) l)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (*.f64 M D))) (*.f64 d (*.f64 l #s(literal -2 binary64)))))
(+.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (*.f64 M D))) (*.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))))) (fma.f64 (*.f64 M h) (*.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 M h) (*.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 M (*.f64 h (*.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 M (*.f64 (*.f64 h (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64))))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 h (*.f64 M (*.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 M h) (*.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 M h) (*.f64 (*.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (*.f64 (*.f64 M h) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal 1/2 binary64)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (*.f64 M D))) (*.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (*.f64 M D))) (*.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal 1/2 binary64)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) d) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal 1/2 binary64)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (*.f64 M h) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) d)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 M h)) (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal 1/2 binary64)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) M) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal 1/2 binary64)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 D d)) M #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) M) (*.f64 h (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (*.f64 M D))) (*.f64 d (*.f64 l #s(literal -2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 M h) (*.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (*.f64 M D))) (*.f64 d (*.f64 l #s(literal -2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))))) (/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (*.f64 M D))) (*.f64 d (*.f64 l #s(literal -2 binary64)))))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal -1 binary64)) (fma.f64 (*.f64 M h) (*.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (*.f64 M D))) (*.f64 d (*.f64 l #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 M h) (*.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (*.f64 M D))) (*.f64 d (*.f64 l #s(literal -2 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (*.f64 M D))) (*.f64 d (*.f64 l #s(literal -2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 M h) (*.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (*.f64 M D))) (*.f64 d (*.f64 l #s(literal -2 binary64)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 M h) (*.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M h) (*.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 M h) (*.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) w0)
(exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (*.f64 M D))) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 M h) (*.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (*.f64 M D))) (*.f64 d (*.f64 l #s(literal -2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 M h) (*.f64 (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal -1 binary64)))))
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(/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 d l)) (*.f64 M h)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d (*.f64 d l)) (*.f64 M h)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d l) (/.f64 (*.f64 M h) d)))
(/.f64 (*.f64 M (neg.f64 h)) (neg.f64 (*.f64 d (*.f64 d l))))
(/.f64 (/.f64 (*.f64 M h) d) (*.f64 d l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d (*.f64 d l)) (*.f64 M h))))
(/.f64 (neg.f64 (*.f64 M (neg.f64 h))) (neg.f64 (neg.f64 (*.f64 d (*.f64 d l)))))
(/.f64 (neg.f64 (/.f64 (*.f64 M h) d)) (neg.f64 (*.f64 d l)))
(/.f64 (/.f64 (*.f64 M h) (*.f64 d l)) d)
(/.f64 (/.f64 (*.f64 M h) (*.f64 d d)) l)
(/.f64 (/.f64 (*.f64 M h) l) (*.f64 d d))
(/.f64 (*.f64 (*.f64 M h) #s(literal 1 binary64)) (*.f64 d (*.f64 d l)))
(/.f64 (*.f64 (/.f64 M d) h) (*.f64 d l))
(/.f64 (*.f64 M (/.f64 h (*.f64 d l))) d)
(/.f64 (/.f64 (/.f64 (*.f64 M h) d) d) l)
(/.f64 (/.f64 (/.f64 (*.f64 M h) d) l) d)
(pow.f64 (/.f64 (*.f64 d (*.f64 d l)) (*.f64 M h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 d (*.f64 d l)) (*.f64 M h)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 d l) (/.f64 (*.f64 M h) d)) #s(literal -1 binary64))
(*.f64 M (/.f64 h (*.f64 d (*.f64 d l))))
(*.f64 h (*.f64 M (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l)))))
(*.f64 h (/.f64 M (*.f64 d (*.f64 d l))))
(*.f64 (*.f64 M h) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))
(*.f64 (/.f64 h l) (/.f64 M (*.f64 d d)))
(*.f64 (*.f64 M (neg.f64 h)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 d (*.f64 d l)))))
(*.f64 (/.f64 M d) (/.f64 h (*.f64 d l)))
(*.f64 (/.f64 h (*.f64 d l)) (/.f64 M d))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) (*.f64 M h))
(*.f64 (/.f64 (*.f64 M h) d) (/.f64 #s(literal 1 binary64) (*.f64 d l)))
(*.f64 (/.f64 h (*.f64 d (*.f64 d l))) M)
(*.f64 (/.f64 M l) (/.f64 h (*.f64 d d)))
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 M l))
(*.f64 (/.f64 M (*.f64 d l)) (/.f64 h d))
(*.f64 (/.f64 h d) (/.f64 M (*.f64 d l)))
(*.f64 (/.f64 M (*.f64 d d)) (/.f64 h l))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d (*.f64 d l)) (*.f64 h (*.f64 w0 (*.f64 D D))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (neg.f64 (*.f64 d (*.f64 d l)))))
(neg.f64 (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (neg.f64 w0)) (*.f64 d (*.f64 d l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 d l)) (*.f64 h (*.f64 w0 (*.f64 D D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d (*.f64 d l)) (*.f64 h (*.f64 w0 (*.f64 D D)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 d d))))
(/.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 d (*.f64 d l)))
(/.f64 (*.f64 (*.f64 h (*.f64 D D)) (neg.f64 w0)) (neg.f64 (*.f64 d (*.f64 d l))))
(/.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 d d)) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d (*.f64 d l)) (*.f64 h (*.f64 w0 (*.f64 D D))))))
(/.f64 (neg.f64 (*.f64 (*.f64 h (*.f64 D D)) (neg.f64 w0))) (neg.f64 (neg.f64 (*.f64 d (*.f64 d l)))))
(/.f64 (neg.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 d d))) (neg.f64 l))
(/.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 d l)) d)
(/.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) d) (*.f64 d l))
(/.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) l) (*.f64 d d))
(/.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) #s(literal 1 binary64)) (*.f64 d (*.f64 d l)))
(/.f64 (*.f64 (/.f64 (*.f64 h (*.f64 D D)) (*.f64 d d)) w0) l)
(/.f64 (*.f64 (*.f64 h (*.f64 D D)) (/.f64 w0 l)) (*.f64 d d))
(pow.f64 (/.f64 (*.f64 d (*.f64 d l)) (*.f64 h (*.f64 w0 (*.f64 D D)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 d (*.f64 d l)) (*.f64 h (*.f64 w0 (*.f64 D D)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (/.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 d d))) #s(literal -1 binary64))
(*.f64 h (*.f64 (*.f64 D D) (/.f64 w0 (*.f64 d (*.f64 d l)))))
(*.f64 D (*.f64 (*.f64 h D) (/.f64 w0 (*.f64 d (*.f64 d l)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 d (*.f64 d l))))
(*.f64 w0 (*.f64 (*.f64 h (*.f64 D D)) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l)))))
(*.f64 w0 (/.f64 (*.f64 h (*.f64 D D)) (*.f64 d (*.f64 d l))))
(*.f64 (*.f64 D D) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))
(*.f64 (*.f64 h (*.f64 D D)) (/.f64 w0 (*.f64 d (*.f64 d l))))
(*.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))))
(*.f64 (*.f64 (*.f64 h (*.f64 D D)) (neg.f64 w0)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 d (*.f64 d l)))))
(*.f64 (/.f64 (*.f64 h (*.f64 D D)) (*.f64 d d)) (/.f64 w0 l))
(*.f64 (/.f64 w0 l) (/.f64 (*.f64 h (*.f64 D D)) (*.f64 d d)))
(*.f64 (/.f64 (*.f64 D D) l) (/.f64 (*.f64 h w0) (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) (*.f64 h (*.f64 w0 (*.f64 D D))))
(*.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 d d)) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 w0 (*.f64 d (*.f64 d l))) (*.f64 h (*.f64 D D)))
(*.f64 (/.f64 w0 d) (/.f64 (*.f64 h (*.f64 D D)) (*.f64 d l)))
(*.f64 (/.f64 (*.f64 h (*.f64 D D)) d) (/.f64 w0 (*.f64 d l)))
(*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h w0) (*.f64 d l)))
(*.f64 (/.f64 (*.f64 D D) (*.f64 d l)) (/.f64 (*.f64 h w0) d))
(*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h w0) l))
(*.f64 (/.f64 w0 (*.f64 d l)) (/.f64 (*.f64 h (*.f64 D D)) d))
(*.f64 (/.f64 w0 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 D D)) l))
(*.f64 (/.f64 (*.f64 h (*.f64 D D)) (*.f64 d l)) (/.f64 w0 d))
(*.f64 (/.f64 (*.f64 h (*.f64 D D)) l) (/.f64 w0 (*.f64 d d)))
(*.f64 d (*.f64 d l))
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 d l) d)
(*.f64 (*.f64 d d) l)

eval526.0ms (3%)

Memory
-14.1MiB live, 632.2MiB allocated
Compiler

Compiled 62 919 to 2 466 computations (96.1% saved)

prune627.0ms (3.6%)

Memory
-38.5MiB live, 1 175.4MiB allocated
Pruning

35 alts after pruning (32 fresh and 3 done)

PrunedKeptTotal
New2 112172 129
Fresh71522
Picked415
Done022
Total2 123352 158
Accuracy
89.6%
Counts
2 158 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) l) (neg.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) #s(literal 1/4 binary64))) #s(literal 1 binary64))))
✓83.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))))
84.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64))))
70.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 (/.f64 h (*.f64 l (*.f64 d (*.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64))))
78.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
78.7%
(*.f64 w0 (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M h)) (*.f64 M D)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))))
67.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
20.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (/.f64 h d) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64)))) d)) l))))
19.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
22.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1/4 binary64)) d) (/.f64 h (*.f64 d l))))))
18.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))))))
19.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 D (*.f64 D (*.f64 M (*.f64 M h)))) l)))))
20.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 M h)) (*.f64 d (*.f64 d l))) D) (*.f64 D #s(literal -1/4 binary64))))))
✓19.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))))
22.9%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/4 binary64) M) (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))))))
✓64.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
48.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0))
75.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0)))) (*.f64 d l)) (/.f64 D d) w0))
57.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
64.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))) D w0))
72.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0)))) (/.f64 D (*.f64 d (*.f64 d l))) w0))
57.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))) w0))
57.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M h)) w0) (*.f64 d (*.f64 d l)))) w0))
33.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d (*.f64 d l)) (*.f64 w0 (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M)))))) #s(literal -1 binary64))) w0))
17.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0))))) d) l) d)))
16.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 h w0))) D) (*.f64 D #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l))))
16.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) M) (*.f64 M (*.f64 h w0))) (*.f64 (*.f64 d d) l))))
15.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64)))) w0) (*.f64 (*.f64 d d) l))))
14.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d l) d))))
14.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (*.f64 (*.f64 d d) l))))
16.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 D D)) l))))
17.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) (*.f64 d l)))))
24.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) d) (*.f64 d l)) (/.f64 w0 (*.f64 M M))))))
16.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 w0 (*.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 D (/.f64 D (*.f64 d (*.f64 d l))))))))
17.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 D (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
Compiler

Compiled 2 361 to 951 computations (59.7% saved)

regimes656.0ms (3.8%)

Memory
-0.4MiB live, 393.0MiB allocated
Counts
65 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 D (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 w0 (*.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 D (/.f64 D (*.f64 d (*.f64 d l))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d l) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64)))) w0) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) M) (*.f64 M (*.f64 h w0))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 h w0))) D) (*.f64 D #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M h)) w0) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 M #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 h (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0)))) (/.f64 D (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))) D w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 w0 (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 D D)) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 w0 (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M)))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) l) (*.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 h (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0)))) (*.f64 d l)) (/.f64 D d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/4 binary64) M) (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 M (*.f64 M h)) (*.f64 d (*.f64 d l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 M h)) (*.f64 d (*.f64 d l))) D) (*.f64 D #s(literal -1/4 binary64))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0))))) d) l) d)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 D (*.f64 D (*.f64 M (*.f64 M h)))) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1/4 binary64)) d) (/.f64 h (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))))
(*.f64 w0 (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M h)) (*.f64 M D)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 (/.f64 h (*.f64 l (*.f64 d (*.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) l) (neg.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (/.f64 h d) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64)))) d)) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (*.f64 M D) (/.f64 h (*.f64 #s(literal -2 binary64) (*.f64 d l)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) d) (*.f64 d l)) (/.f64 w0 (*.f64 M M))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 (/.f64 l h) (*.f64 d #s(literal 2 binary64))) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d) (*.f64 M (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))))
(*.f64 w0 (sqrt.f64 (-.f64 #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(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d (*.f64 d l)) (*.f64 w0 (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M)))))) #s(literal -1 binary64))) w0))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64))))
Calls

15 calls:

91.0ms
(/.f64 h l)
89.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
81.0ms
(*.f64 #s(literal 2 binary64) d)
69.0ms
(*.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)))))
62.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Results
AccuracySegmentsBranch
84.6%1w0
86.9%2M
87.2%2D
86.9%2h
86.5%2l
88.0%2d
88.1%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)))))
88.1%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))))
88.1%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)))
88.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
88.0%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
88.0%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
86.8%2(*.f64 M D)
88.0%2(*.f64 #s(literal 2 binary64) d)
87.3%2(/.f64 h l)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes76.0ms (0.4%)

Memory
12.8MiB live, 92.2MiB allocated
Counts
59 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 D (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 w0 (*.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 D (/.f64 D (*.f64 d (*.f64 d l))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d l) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64)))) w0) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) M) (*.f64 M (*.f64 h w0))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 h w0))) D) (*.f64 D #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M h)) w0) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 M #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 h (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0)))) (/.f64 D (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))) D w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 w0 (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 D D)) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 w0 (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M)))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) l) (*.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 h (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0)))) (*.f64 d l)) (/.f64 D d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/4 binary64) M) (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 M (*.f64 M h)) (*.f64 d (*.f64 d l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 M h)) (*.f64 d (*.f64 d l))) D) (*.f64 D #s(literal -1/4 binary64))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0))))) d) l) d)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 D (*.f64 D (*.f64 M (*.f64 M h)))) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1/4 binary64)) d) (/.f64 h (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))))
(*.f64 w0 (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M h)) (*.f64 M D)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 (/.f64 h (*.f64 l (*.f64 d (*.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) l) (neg.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (/.f64 h d) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64)))) d)) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (*.f64 M D) (/.f64 h (*.f64 #s(literal -2 binary64) (*.f64 d l)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) d) (*.f64 d l)) (/.f64 w0 (*.f64 M M))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 (/.f64 l h) (*.f64 d #s(literal 2 binary64))) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64))))
Calls

4 calls:

24.0ms
(-.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)))
23.0ms
(*.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)))))
13.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
13.0ms
(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
88.0%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)))))
88.0%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
88.0%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
88.0%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 86 to 61 computations (29.1% saved)

regimes219.0ms (1.3%)

Memory
27.6MiB live, 420.3MiB allocated
Counts
58 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 D (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 w0 (*.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 D (/.f64 D (*.f64 d (*.f64 d l))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d l) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64)))) w0) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) M) (*.f64 M (*.f64 h w0))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 h w0))) D) (*.f64 D #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M h)) w0) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 M #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 h (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0)))) (/.f64 D (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))) D w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 w0 (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 D D)) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 w0 (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M)))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) l) (*.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 h (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0)))) (*.f64 d l)) (/.f64 D d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/4 binary64) M) (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 M (*.f64 M h)) (*.f64 d (*.f64 d l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 M h)) (*.f64 d (*.f64 d l))) D) (*.f64 D #s(literal -1/4 binary64))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0))))) d) l) d)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 D (*.f64 D (*.f64 M (*.f64 M h)))) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1/4 binary64)) d) (/.f64 h (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))))
(*.f64 w0 (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M h)) (*.f64 M D)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 (/.f64 h (*.f64 l (*.f64 d (*.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) l) (neg.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (/.f64 h d) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64)))) d)) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (*.f64 M D) (/.f64 h (*.f64 #s(literal -2 binary64) (*.f64 d l)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) d) (*.f64 d l)) (/.f64 w0 (*.f64 M M))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 (/.f64 l h) (*.f64 d #s(literal 2 binary64))) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
Calls

14 calls:

17.0ms
(*.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)))))
17.0ms
(/.f64 h l)
17.0ms
d
17.0ms
(*.f64 #s(literal 2 binary64) d)
16.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
84.6%1l
84.6%1(*.f64 M D)
84.6%1h
86.2%2M
84.6%1D
84.6%1(/.f64 h l)
84.6%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
84.6%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
84.6%1d
84.6%1(*.f64 #s(literal 2 binary64) d)
84.6%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
84.6%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
84.6%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
84.6%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 176 to 134 computations (23.9% saved)

regimes134.0ms (0.8%)

Memory
-16.3MiB live, 181.2MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 D (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 w0 (*.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 D (/.f64 D (*.f64 d (*.f64 d l))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d l) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64)))) w0) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) M) (*.f64 M (*.f64 h w0))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 h w0))) D) (*.f64 D #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M h)) w0) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 M #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 h (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0)))) (/.f64 D (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))) D w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 w0 (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 D D)) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 w0 (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M)))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) l) (*.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 h (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0)))) (*.f64 d l)) (/.f64 D d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/4 binary64) M) (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 M (*.f64 M h)) (*.f64 d (*.f64 d l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 M h)) (*.f64 d (*.f64 d l))) D) (*.f64 D #s(literal -1/4 binary64))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0))))) d) l) d)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 D (*.f64 D (*.f64 M (*.f64 M h)))) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1/4 binary64)) d) (/.f64 h (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))))
(*.f64 w0 (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M h)) (*.f64 M D)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 (/.f64 h (*.f64 l (*.f64 d (*.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) l) (neg.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (/.f64 h d) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64)))) d)) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (*.f64 M D) (/.f64 h (*.f64 #s(literal -2 binary64) (*.f64 d l)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) d) (*.f64 d l)) (/.f64 w0 (*.f64 M M))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 (/.f64 l h) (*.f64 d #s(literal 2 binary64))) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (*.f64 d d)))))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64))))
Calls

8 calls:

21.0ms
D
18.0ms
(*.f64 #s(literal 2 binary64) d)
18.0ms
d
15.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
15.0ms
M
Results
AccuracySegmentsBranch
84.6%1D
84.6%1h
84.6%1d
84.6%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
84.6%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
84.6%1(*.f64 M D)
84.6%1(*.f64 #s(literal 2 binary64) d)
84.6%1M
Compiler

Compiled 80 to 63 computations (21.3% saved)

regimes201.0ms (1.2%)

Memory
-10.8MiB live, 346.0MiB 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 D (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 w0 (*.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 D (/.f64 D (*.f64 d (*.f64 d l))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d l) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64)))) w0) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) M) (*.f64 M (*.f64 h w0))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 h w0))) D) (*.f64 D #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M h)) w0) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 M #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 h (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0)))) (/.f64 D (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))) D w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 w0 (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 D D)) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 w0 (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M)))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) l) (*.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 h (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0)))) (*.f64 d l)) (/.f64 D d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/4 binary64) M) (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 M (*.f64 M h)) (*.f64 d (*.f64 d l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 M h)) (*.f64 d (*.f64 d l))) D) (*.f64 D #s(literal -1/4 binary64))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0))))) d) l) d)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 D (*.f64 D (*.f64 M (*.f64 M h)))) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1/4 binary64)) d) (/.f64 h (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))))
(*.f64 w0 (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M h)) (*.f64 M D)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 (/.f64 h (*.f64 l (*.f64 d (*.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) l) (neg.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (/.f64 h d) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D D) #s(literal -1/4 binary64)))) d)) l))))
Outputs
(*.f64 w0 (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M h)) (*.f64 M D)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #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:

16.0ms
M
16.0ms
(*.f64 #s(literal 2 binary64) d)
15.0ms
h
14.0ms
(*.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)))))
14.0ms
(/.f64 h l)
Results
AccuracySegmentsBranch
78.7%1w0
78.7%1l
78.7%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)))))
82.8%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
82.8%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
81.9%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
81.0%2(/.f64 h l)
78.7%1M
83.6%3D
78.7%1h
82.7%3d
83.2%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
81.9%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
81.3%2(*.f64 M D)
82.7%3(*.f64 #s(literal 2 binary64) d)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes12.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 D (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 w0 (*.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 D (/.f64 D (*.f64 d (*.f64 d l))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d l) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64)))) w0) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) M) (*.f64 M (*.f64 h w0))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 h w0))) D) (*.f64 D #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M h)) w0) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 M #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 h (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0)))) (/.f64 D (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))) D w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 w0 (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 D D)) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 w0 (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M)))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) l) (*.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 h (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0)))) (*.f64 d l)) (/.f64 D d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/4 binary64) M) (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 M (*.f64 M h)) (*.f64 d (*.f64 d l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 M h)) (*.f64 d (*.f64 d l))) D) (*.f64 D #s(literal -1/4 binary64))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D #s(literal -1/4 binary64))) D) (*.f64 M h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0))))) d) l) d)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 D (*.f64 D (*.f64 M (*.f64 M h)))) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 M (*.f64 M h)) d) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1/4 binary64)) d) (/.f64 h (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (*.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) (/.f64 w0 (*.f64 M M))))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/4 binary64) M) (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l)))))))))
(*.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
82.8%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes118.0ms (0.7%)

Memory
-11.9MiB live, 185.2MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 D (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 w0 (*.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 D (/.f64 D (*.f64 d (*.f64 d l))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d l) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64)))) w0) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) M) (*.f64 M (*.f64 h w0))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 h w0))) D) (*.f64 D #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M h)) w0) (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 M #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 h (*.f64 d (*.f64 d l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0)))) (/.f64 D (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))) D w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 M M) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d))))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 w0 (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* M D) (* M (* D 1/2))) (* (/ l h) (* 2 (* d d)))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) d) (/.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 D D)) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M (*.f64 M h)) w0)) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) d) (/.f64 h (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 w0 (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M M)))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) l) (*.f64 (*.f64 w0 (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 h (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) w0)))) (*.f64 d l)) (/.f64 D d) w0))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 M #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

15 calls:

9.0ms
(*.f64 #s(literal 2 binary64) d)
9.0ms
l
9.0ms
w0
8.0ms
M
8.0ms
d
Results
AccuracySegmentsBranch
75.0%1w0
75.0%1M
79.0%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)))))
75.0%1l
75.0%1h
75.0%1(/.f64 h l)
75.0%1d
75.0%1(*.f64 #s(literal 2 binary64) d)
75.0%1(*.f64 M D)
76.8%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
76.8%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
75.0%1D
79.0%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))))
79.0%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)))
79.0%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes4.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 D (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 w0 (*.f64 (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64))) (*.f64 D (/.f64 D (*.f64 d (*.f64 d l))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 D D))) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) w0) (*.f64 D D)) (*.f64 (*.f64 d l) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M (*.f64 (*.f64 M h) #s(literal -1/8 binary64)))) w0) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 D #s(literal -1/8 binary64))) M) (*.f64 M (*.f64 h w0))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 h w0))) D) (*.f64 D #s(literal -1/8 binary64))) (*.f64 (*.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M h)) w0) (*.f64 d (*.f64 d l)))) w0))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 D (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

3.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
78.3%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes20.0ms (0.1%)

Memory
3.0MiB live, 42.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

15 calls:

2.0ms
(*.f64 #s(literal 2 binary64) d)
1.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms
d
1.0ms
M
1.0ms
l
Results
AccuracySegmentsBranch
64.6%1w0
64.6%1M
64.6%1D
64.6%1h
64.6%1l
64.6%1d
64.6%1(*.f64 M D)
64.6%1(*.f64 #s(literal 2 binary64) d)
64.6%1(/.f64 h l)
64.6%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
64.6%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
64.6%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
64.6%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
64.6%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
64.6%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 183 to 140 computations (23.5% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.871405167280826e-10
NaN
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.871405167280826e-10
NaN
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch3.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
2.0ms
3.319240812966836e-141
5.453481975122071e-140
Samples
1.0ms16×0valid
0.0ms1×0invalid
Compiler

Compiled 86 to 66 computations (23.3% saved)

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

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-8.113206090451285e-8
-4.0793523247161955e-11
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-90413.41837551244
-0.031828107785031555
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.0766539837038715e+188
-1.1893485834842964e+170
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.0766539837038715e+188
-1.1893485834842964e+170
Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify29.0ms (0.2%)

Memory
-30.7MiB live, 23.7MiB allocated
Algorithm
1×egg-herbie
Rules
112×*-commutative_binary64
26×+-commutative_binary64
24×sub-neg_binary64
24×neg-sub0_binary64
24×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129519
1185519
2197519
3214519
4233519
5249519
6261519
7267519
8268519
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #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 4835703278458517/9671406556917033397649408 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 4290498537581631/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #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 -944473296573929/18889465931478580854784 binary64)) (*.f64 w0 (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M h)) (*.f64 M D)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #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 -50000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/4 binary64) M) (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 M #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 D (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 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
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #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 4835703278458517/9671406556917033397649408 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 h l) (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 #s(literal -2 binary64) (*.f64 d l)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #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 4835703278458517/9671406556917033397649408 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #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 4835703278458517/9671406556917033397649408 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 D d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 #s(literal -2 binary64) (*.f64 d l)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 4290498537581631/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 4290498537581631/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (/.f64 D (neg.f64 d)))) (/.f64 D d) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 #s(literal -2 binary64) (*.f64 d l)))) (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) #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 -944473296573929/18889465931478580854784 binary64)) (*.f64 w0 (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M h)) (*.f64 M D)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #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 -944473296573929/18889465931478580854784 binary64)) (*.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 M h))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 #s(literal 2 binary64) 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 -50000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/4 binary64) M) (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 D (*.f64 D (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 (*.f64 M h) (*.f64 d (*.f64 d l))))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 M #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* (* -1/8 (* M M)) (* w0 h)) (* (* d d) l))) w0) (*.f64 D (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 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)))

soundness1.2s (6.8%)

Memory
43.5MiB live, 939.6MiB allocated
Rules
10 592×lower-*.f64
10 592×lower-*.f32
8 912×lower-fma.f64
8 912×lower-fma.f32
8 488×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061453
0101448
1321378
22903376
08884363
064507
0106507
1342507
22549489
08254489
067935432
1234235264
0848134232
01778
02678
18278
255078
3707378
0866178
06288158
121898136
084797930
076605
0117605
1415605
23319602
09648593
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×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 1 459 to 702 computations (51.9% saved)

preprocess124.0ms (0.7%)

Memory
6.3MiB live, 201.7MiB allocated
Remove

(abs D)

(sort M D)

(negabs w0)

(abs M)

(abs d)

Compiler

Compiled 2 426 to 1 106 computations (54.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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